On Fridays, Jerry stops at Steak & Taco Shack before he goes home. This week
his order was 1 steak sandwich, 2 orders of cheese fries, and 2 taco salads. He was
charged $11.50 before tax. One week ago, his order was 2 steak sandwiches, 3
orders of cheese fries, and 1 taco salad, and he was charged $15.25. Two weeks ago
he ordered 1 steak sandwich, 4 orders of cheese fries, and 1 taco salad, and was
charged $13. How much is 1 steak sandwich? How much is 1 cheese fries? How
much is 1 taco salad?

Answers

Answer 1

Answer:

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

Step-by-step explanation:

Let :

Steak sandwich = x

Cheese fries = y

Taco salad = z

This week:

x + 2y + 2z = 11.50 - - - - (1)

Last week :

2x + 3y + z = 15.25 - - - (2)

Two weeks ago :

x + 4y + z = 13 - - - - - (3)

Taking (1) and (2)

x + 2y + 2z = 11.50 ___(1)

2x + 3y + z = 15.25 ___(2)

Multiply (1) by 2 and (2) by 1 and subtract

2x + 4y + 4z = 23

2x + 3y + z = 15.25

_______________

y + 3z = 7.75 - - - - (4)

Taking (2) and (3)

2x + 3y + z = 15.25 - - (2)

x + 4y + z = 13 - - - - - (3)

Multiply (2) by 1 and (3) by 2 and subtract

2x + 3y + z = 15.25

2x + 8y + 2z = 26

______________

-5y - z = - 10.75 - - - - - (5)

Lets solve (4) and (5)

y + 3z = 7.75 - - - - (4) - - - multiply by 5

-5y - z = - 10.75 - - - - - (5) - - - multiply by 1

Then add the result :

5y + 15z = 38.75

-5y - z = - 10.75

____________

14z = 28

z = 28 / 14

z = 2

To find y ; put z = 2 in (4)

y + 3z = 7.75

y + 3(2) = 7.75

y + 6 = 7.75

y = 7.75 - 6

y = 1.75

From equation 3 ;

x + 4y + z = 13 - - - - - (3)

x + 4(1.75) + 2 = 13

x + 7 + 2 = 13

x + 9 = 13

x = 13 - 9

x = 4

Hence,

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2


Related Questions

find the supplement of 158 degrees and 17 minutes

Answers

Answer:

supplement of 158 degree

x+158=180

x=180-158

x=22 degree.

Step-by-step explanation:

A worker in the automobile industry works an average of 43.7 hours per week. Assume the distribution is normal with a standard deviation of 1.6 hours.


(i) What is the probability that a randomly selected automobile worker works less than 40 hours per week?


(ii) If 15 automobile workers are randomly selected, what is the probability that the sample mean of working time is more than 45 hours per week?

Answers

Answer:

The solution is:

(1) 0.0104

(2) 0.0008

Step-by-step explanation:

Given:

Mean,

[tex]\mu = 43.7[/tex]

Standard deviation,

[tex]\sigma = 1.6[/tex]

(1)

⇒ [tex]P(X<40) = P(\frac{x-\mu}{\sigma}<\frac{40-43.7}{1.6} )[/tex]

                      [tex]=P(z< - 2.3125)[/tex]

                      [tex]=P(z<-2.31)[/tex]

                      [tex]=0.0104[/tex]

(2)

As we know,

n = 15

⇒ [tex]P(\bar X > 45)= P(\frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n} } } >\frac{45-43.7}{\frac{1.6}{\sqrt{15} } } )[/tex]

                      [tex]=P(z> 3.15)[/tex]

                      [tex]=1-P(z<3.15)[/tex]

                      [tex]=1-0.9992[/tex]

                      [tex]=0.0008[/tex]

Devy likes to learn! Could someone please tell me how to answer this question?

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?

On a coordinate plane, a straight line has a positive slope and goes through (negative 2, negative 1), (0, 0), and (4, 2).

On a coordinate plane, a straight line has a positive slope and goes through (negative 3, negative 3), (0, 0), and (3, 3).

On a coordinate plane, a straight line has a negative slope and goes through (negative 4, 2), (0, 0), and (4, negative 2).

On a coordinate plane, a straight line has a negative slope and goes through (negative 3, 3), (0, 0), (3, negative 3).

Answers

Answer:

B

Step-by-step explanation:

Recall that if two functions, f and g, are inverses, then by definition:

[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]

Hence, the graph of f(g(x)) should be simply y = x.

Therefore, our answer is B, as both coordinates are equivalent for all three points.

Suppose g(x) = f( x +2) - 3. Which statement best compares the graph of g(x) with the graph of f(x)? A. The graph of g(x) is shifted 2 units left and 3 units up. B. The graph of g(x) is shifted 2 units right and 3 units down. C. The graph of g(x) is shifted 2 units left and 3 units down. D. The graph of g(x) is shifted 2 units right and 3 units up.

Answers

Given:

The function is:

[tex]g(x)=f(x+2)-3[/tex]

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The transformation is defined as

[tex]g(x)=f(x+a)+b[/tex]                .... (i)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]g(x)=f(x+2)-3[/tex]               ...(ii)

On comparing (i) and (ii), we get

[tex]a=2[/tex]

[tex]b=-3[/tex]

Therefore, the graph of g(x) is shifted 2 units left and 3 units down.

Hence, the correct option is C.

Find the first six terms of the sequence.
a1=- 6, an= 4 • an-1

Answers

Answer:

I think it's 3

Step-by-step explanation:

because an=4 and the question is

an-1

=4-1

=3

A rhombus has an area of 5 square meters and a side length of 3 meters. In another similar rhombus, the length of a side is 9 meters. What is the area of the second rhombus?
(A) 30 square meters
(B) 45 square meters
(C) 60 square meters
(D) 75 square meters

Answers

Hence the area of the second rhombus is 45 square meters

The area of a rhombus is expressed as

A = base * height

For the rhombus with an area of 5 square meters and a side length of 3 meters

Height = Area/length

Height = 5/3 metres

Since the length of a similar rhombus is 9meters, the scale factor will be expressed as;

k = ratio of the lengths = 9/3

k = 3

Height of the second rhombus = 3 * height of the first rhombus

Height of the second rhombus = 3 * 5/3

Height of the second rhombus = 5 meters

Area of the second rhombus = length * height

Area of the second rhombus = 5 * 9

Area of the second rhombus = 45 square meters

Hence the area of the second rhombus is 45 square meters

Learn more here: brainly.com/question/20247331

The correct option is option B;

(B) 45 square meters

The known parameters in the question are;

The area of the rhombus, A₁ = 5 m²

The length of one of the sides of the rhombus, a = 3 m

The length of a side in a similar rhombus, b = 9 m

The unknown parameter;

The area of the second rhombus

Strategy or method;

We have that two shapes are similar if their corresponding sides are proportional

From the above statement we get that the ratio of the areas of the two shapes is equal to the square of the ratio of the lengths of the corresponding sides of the two shapes of follows;

[tex]\begin{array}{ccc}Length \ Ratio&&Area \ Ratio\\\dfrac{a}{b} &&\left (\dfrac{a}{b} \right)^2 \\&&\end{array}[/tex]

Let the area of the second rhombus be A₂, we get;

[tex]Area \ ratio = \dfrac{A_1}{A_2} = \left( \dfrac{a}{b} \right)^2[/tex]

Where;

a = 3 m, b = 9 m, and A₁ = 5 m², we get;

[tex]Area \ ratio = \dfrac{5 \ m^2}{A_2} = \left( \dfrac{3 \, m}{9 \, m} \right)^2 = \dfrac{1}{9}[/tex]

Therefore;

9 × 5 m² = A₂ × 1

A₂ = 45 m²

The area of the second rhombus, A₂ = 5 m².

Learn more about scale factors here;

https://brainly.com/question/20247331

WILL GIVE BRAINLIEST
Combine like terms.
2x – 3 – 5x + 8 = [ ? ]x + [ ]

Answers

Answer:

-3x + 5

Step-by-step explanation:

like terms are the ones that have x and the ones that don't.

hope this makes sense

Answer:

-3x + 5

Step-by-step explanation:

2x - 3 - 5x + 8 can also be written as 2x - 5x - 3 + 8

→ Using the rewritten method collect the x terms

-3x - 3 + 8

→ Now collect the integers

-3x + 5

Solve the equation for x 11x=110

Answers

Answer:

x = 10

Step-by-step explanation:

11x = 110

Divide both sides by 11

11x/11 = 110/11

x = 10

14 over 17 as a decimal rounded to the nearest tenth

Answers

Step-by-step explanation:

14/17 is 0.82352941176

To the nearest tenth is 0.8

Twice the difference of a number and 9 equals 5.

Answers

Answer:

7

Step-by-step explanation:

if the number is x then you know 2x-9=5

2x=14

x=7

so the number is 7

Leanne is planning a bridal shower for her best friend. At the party, she wants to serve 33 beverages, 33 appetizers, and 22 desserts, but she does not have time to cook. She can choose from 1313 bottled drinks, 77 frozen appetizers, and 1313 prepared desserts at the supermarket. How many different ways can Leanne pick the food and drinks to serve at the bridal shower

Answers

Answer:

She can pick the food and drinks in 780,780 different ways.

Step-by-step explanation:

The drinks, appetizers and desserts are independent of each other, so the fundamental counting principle is used.

Also, the order in which the beverages, the appetizers and the desserts are chosen is not important, which means that the combinations formula is used to solve this question.

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Beverages:

3 from a set of 13. So

[tex]C_{13,3} = \frac{13!}{3!10!} = 286[/tex]

Appetizers:

3 from a set of 7, so:

[tex]C_{7,3} = \frac{7!}{3!4!} = 35[/tex]

Desserts:

2 from a set of 13, so:

[tex]C_{13,2} = \frac{13!}{2!11!} = 78[/tex]

How many different ways can Leanne pick the food and drinks to serve at the bridal shower?

286*35*78 = 780,780

She can pick the food and drinks in 780,780 different ways.

$26,876 is invested, part at 9% and the rest at 5%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 5% by $720.78, how much is invested at each rate? (Round to two decimal places if necessary.)

Answers

9514 1404 393

Answer:

$14,747 at 9%$12,129 at 5%

Step-by-step explanation:

Let x represent the amount invested at 9%. Then the difference in interest amounts is ...

  (9%)x -(5%)(26876 -x) = 720.78 . . . . . assuming a 1-year investment

  0.14x -1343.80 = 720.78 . . . . . . . . . simplify

  0.14x = 2064.58 . . . . . . . . . . . . . . add 1343.80

  x = 14,747 . . . . . . . . . . . . . . . . divide by 0.14

$14,747 is invested at 9%; $12,129 is invested at 5%.

Please help quicklyyy!!!

Answers

Answer:

Its the 3 one

Step-by-step explanation:

To study the mean respiratory rate of all people in his state, Frank samples the population by dividing the residents by towns and randomly selecting 12 of the towns. He then collects data from all the residents in the selected towns. Which type of sampling is used

Answers

Answer:

Cluster Sampling

Step-by-step explanation:

Cluster Sampling involves the random sampling of observation or subjects, which are subsets of a population. Cluster analysis involves the initial division of population subjects into a number of groups called clusters . From the divided groups or clusters , a number of groups is then selected and it's elements sampled randomly. In the scenario above, the divison of the population into towns where each town is a cluster. Then, the selected clusters (12) which are randomly chosen are analysed.

What is the value of x that makes l1||l2

A. 35
B. 25
C. 37
D. 18

Answers

Answer:

B

Step-by-step explanation:

For l1 and l2 to be parallel, these two angles need to be equal. 3x-15=2x+10, x=25


A ray of light passing from air through an equilateral glass prism undergoes minimum
deviation, when the angle of incidence is 3/4th of the angle of prism. If the speed of light
in air is 3x10^8m/s, calculate the speed of light in the prism?

Answers

Answer: 45° and speed of light in prism 2×10⁸m/s

Step-by-step explanation:

The minimum deviation of the equilateral glass prism will form 60° angle.

So angle of incidence = 3/4×60

= 3 ×15

= 45°

Minimum deviation = δmin

= 30

After finding the value of μ using prism law

μ = 1.41

Speed of light will be 2×10⁸m/s

Must click thanks and mark brainliest

If the volume of the expanding cube is increasing at the rate 24 cm3 / min , how fast is its surface area increasing when the surface area is 216 cm2 ?​

Answers

Answer:

16 cm^2/min

Step-by-step explanation:

dV/dt=24

V=a^3, differentiate with respect to t

dV/dt=3a^2*da/dt, a^2*da/dt=8

S=6a^2, 216=6a^2. a=6. da/dt=(8/36)

dS/dt=12*a*da/dt=12*(8/6)=16 cm^2/min

A rectangular prism has volume 1,088 ft3 and height 8 ft. What is the area of the base of the prism?
a. 146 ft2
c. 136 ft2
b. 1,080 ft2
d. 1,096 ft2​

Answers

Height=8ftVolume=1083ft^3

We know

[tex]\boxed{\sf Volume=Area\:of\:Base\times Height}[/tex]

[tex]\\ \sf\longmapsto Area\:of\:Base=\dfrac{Volume}{Height}[/tex]

[tex]\\ \sf\longmapsto Area\:of\:Base=\dfrac{1088}{8}[/tex]

[tex]\\ \sf\longmapsto Area\;of\:base=136ft^2[/tex]

The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 45 and a standard deviation of 3. Using the empirical rule, what is the approximate percentage of lightbulb replacement requests numbering between 42 and 45?

Do not enter the percent symbol.
ans = %

Answers

Answer:

34%

Step-by-step explanation:

Given that the distribution of daily light bulb request replacement is approximately bell shaped with ;

Mean , μ = 45 ; standard deviation, σ = 3

Using the empirical formula where ;

68% of the distribution is within 1 standard deviation from the mean ;

95% of the distribution is within 2 standard deviation from the mean

Lightbulb replacement numbering between ;

42 and 45

Number of standard deviations from the mean /

Z = (x - μ) / σ

(x - μ) / σ < Z < (x - μ) / σ

(42 - 45) / 3 = -1

This lies between - 1 standard deviation a d the mean :

Hence, the approximate percentage is : 68% / 2 = 34%

There is 60% chance of making $12,000, 10% chance of breaking even and 30% chance of losing $6,200. What is the expected value of the purchase?

Answers

Answer:

$5,340

Step-by-step explanation:

Given :

Making a probability distribution :

X : ___12000 ____0 _____-6200

P(X) __ 0.6 _____ 0.1 _____ 0.3

Tge expected value of the purchase si equal to the expected value or average, E(X) :

E(X) = ΣX*p(X)

E(X) = (12000 * 0.6) + (0 * 0.1) + (-6200 * 0.3)

E(X) = 7200 + 0 - 1860

E(X) = $5,340

Instructions: State what additional information is required in order
to know that the triangles in the image below are congruent for the
reason given
Reasory. SAS Postulate

Answers

Answer:

HJ = FG

Step-by-step explanation:

SAS means side - (included) angle - side.

we have one angle confirmed (at H and at G).

we have actually one side confirmed (HG), because the graphic shows that this side is shared between the triangles. so, implicitly it is not only congruent but really identical.

so, we need the confirmation of the second side enclosing the confirmed angle.

Which of the following options correctly represents the complete factored
form of the polynomial F(x) = x^3- x2 - 4x-6?
A. F(x) - (x - 3)(x + 1 + I)(x+1- I)
B. F(x) = (x - 3)(x+1+I)(x-1-I)
C. F(x) = (x+3)(x + 1)(x - 1)
D. F(x) - (x+3)(x+1+I)(x +1-I )

Answers

The completely factored form for the given algebraic expression is f(x) = (x-3)(x+1+i)(x+1-i).

What is a completely factored polynomial?

A completely factored polynomial is a polynomial that can no longer be further simplified. A completely factored polynomial can be expressed as a root of its own equation.

Given that:

f(x) = x³ - x² - 4x - 6

To express this as a factored polynomial using the rational:

f(x) = (x-3)(x²+2x+2)

f(x) = (x-3)(x+1+i)(x+1-i)

Learn more about how to completely factor polynomial here:

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The central angle in a circle of radius 6 meters has an intercepted arc length of 10 meters. Find the measure of the angle in radians and in degrees

Answers

Answer:

The central angle is 5/3 radians or approximately 95.4930°.

Step-by-step explanation:

Recall that arc-length is given by the formula:

[tex]\displaystyle s = r\theta[/tex]

Where s is the arc-length, r is the radius of the circle, and θ is the measure of the central angle, in radians.

Since the intercepted arc-length is 10 meters and the radius is 6 meters:

[tex]\displaystyle (10) = (6)\theta[/tex]

Solve for θ:

[tex]\displaystyle \theta = \frac{5}{3}\text{ rad}[/tex]

The central angle measures 5/3 radians.

Recall that to convert from radians to degrees, we can multiply by 180°/π. Hence:

[tex]\displaystyle \frac{5\text{ rad}}{3} \cdot \frac{180^\circ}{\pi \text{ rad}} = \frac{300}{\pi}^\circ\approx 95.4930^\circ[/tex]

So, the central angle is approximately 95.4930°

Five trucks are to be transported on a ship. Each one weighs 3200 kg and comes
with 8 tyres which weigh 125 kg each. what is the total weight

Answers

Total No of trucks: 5

Weight of trucks: 3200Kg

Total weight of trucks: 3200×5

= 16000kg

Total no of tyres = 5 ×8

= 40

Weight of each tyre = 125kg

Total weight of tyres = 125 × 40

= 5000Kg

The total weight of trucks and tyres: 16000 + 5000

= 21000Kg

Answered by Gauthmath must click thanks and mark brainliest

I are these orders pairs a function
х,у
0,9
2,8.
4,7
6,6
8,5
10,4

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

No x-value is repeated, so these ordered pairs do represent a function.

If p=(3/4)and q=(1/2)find p-2q​

Answers

Answer:

[tex]p - 2q \\ \frac{3}{4} - 2( \frac{1}{2} ) \\ = \frac{3}{4} - \frac{2}{2} \\ = \frac{3}{4} - 1 \\ = \frac{3 - 4}{4} \\ = \frac{ - 1}{4} \\ = - 0.25[/tex]

I hope I helped you^_^

The graph shows the distribution of lengths of songs (in seconds). The distribution is approximately Normal, with a mean of 227 seconds and a standard deviation of 31 seconds.

A graph titled Song length has length (seconds) on the x-axis, going from 103 to 351 in increments of 31. The highest point of the curve is at 227.

What percentage of songs have lengths that are within 31 seconds of the mean?

34%
68%
95%
99.7%

Answers

its everything between 196 and 258 seconds (at max 31secs away from the mean). imagine straight upward lines separating this area from the rest.

34% would be way too low, 95 and above way too much.

only 68% is remotely plausible.

An adult can lose or gain two pounds of water ina course of a day. Assume that the changes in water weight isuniformly distributed between minus two and plus two pounds in aday. What is the standard deviation of your weight over a day?

Answers

Answer:

The standard deviation of your weight over a day is of 1.1547 pounds.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b, and the standard deviation is:

[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]

Assume that the changes in water weight is uniformly distributed between minus two and plus two pounds in a day.

This means that [tex]a = -2, b = 2[/tex]

What is the standard deviation of your weight over a day?

[tex]S = \sqrt{\frac{(2 - (-2))^2}{12}} = \sqrt{\frac{4^2}{12}} = \sqrt{\frac{16}{12}} = 1.1547[/tex]

The standard deviation of your weight over a day is of 1.1547 pounds.

Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior to off-ramps. These signs typically do not provide information on distances. An article reported that in one investigation, six sites along interstate highways where service signs are posted were selected. For each site, crash data was obtained for a three-year period before distance information was added to the service signs and for a one-year period afterward. The number of crashes per year before and after the sign changes were as follows.
Before 13 22 65 123 56 63
After 14 21 43 84 75 72
1. The article included the statement "A paired t-test was performed to determine whether there was any change in the mean number of crashes before and after the addition of distance information on the signs." Carry out such a test. (Note: The relevant normal probability plot shows a substantial linear pattern.)
a. State and test the appropriate hypotheses. (Use α = 0.05.)
b. Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t = _____
p-value = _____
c. State the conclusion in the problem context.
A. Fail to reject H0. The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
B. Reject H0. The data suggests a significant mean difference in the average number of accidents after information was added to road signs.
C. Fail to reject H0. The data suggests a significant mean difference in the average number of accidents after information was added to road signs.
D. Reject H0. The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
2. If a seventh site were to be randomly selected among locations bearing service signs, between what values would you predict the difference in the number of crashes to lie? (Use a 95% prediction interval. Round your answers to two decimal places.)

Answers

Answer:

Test statistic = 0.63

Pvalue = 0.555

A. Fail to reject H0. The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

Step-by-step explanation:

Given :

Before 13 22 65 123 56 63

After_ 14 21 43 84 75 72

To perform a paired t test :

H0 : μd = 0

H1 : μd ≠ 0

We obtain the difference between the two dependent sample readings ;

Difference, d = -1, 1, 22, 39, -19, -9

The mean of difference, Xd = Σd/ n = 33/6 = 5.5

The standard deviation, Sd = 21.296 (calculator).

The test statistic :

T = Xd ÷ (Sd/√n) ; where n = 6

T = 5.5 ÷ (21.296/√6)

T = 5.5 ÷ 8.6940555

T = 0.6326

The Pvalue : Using a Pvalue calculator ;

df = n - 1 = 6 - 1 = 5

Pvalue(0.6326, 5) = 0.5548

Decision region :

Reject H0 ; If Pvalue < α; α = 0.05

Since 0.5548 > 0.05 ; we fail to reject the Null and conclude that the data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

What is the measure of x?

Answers

Answer:

22

Step-by-step explanation:

This is a right angle so the sum of those would be equal to 90 degrees

x + 7 + 3x - 5 = 90 add like terms

4x + 2 = 90 subtract 2 from both sides

4x = 88 divide both sides by 4

x = 22

Other Questions
Random distribution is also known as predictable spacing. true ot false? The element Co exists in two oxidation states, Co(II) and Co(III), and the ions form many complexes. The rate at which one of the complexes of Co(III) was reduced by Fe(II) in water was measured. Determine the activation energy of the reaction from the following data:T(K) K(s^-1)293 0.054298 0.100 Spartan Corporation estimates that it will incur $200,000 of total manufacturing overhead cost at an estimated activity level of 10,000 direct labor-hours. What is the amount of manufacturing overhead that would be applied to a job that required 200 direct labor-hours?a. $2,000.b. $4,000.c. $6,000.d. $10,000. Which equation represents a line which is parallel to the line 6x - 5y = 5?Submit AnswerOy= $ 2Oy= {2+3Oy=+*+1O 9= -x +6PLS HELP ASAP EcoFabrics has budgeted overhead costs of $1,162,350. It has allocated overhead on a plantwide basis to its two products (wool and cotton) using direct labor hours which are estimated to be 553,500 for the current year. The company has decided to experiment with activity-based costing and has created two activity cost pools and related activity cost drivers. These two cost pools are cutting (cost driver is machine hours) and design (cost driver is number of setups). Overhead allocated to the cutting cost pool is $442,800 and $719,550 is allocated to the design cost pool. Additional information related to these pools is as follows. Wool Cotton TotalMachine hours 123,000 123,000 246,000Number of setups 1,230 615 1,8451. Calculate the overhead rate using activity based costing. (Round answers to 2 decimal places, e.g. 12.25.)2. Determine the amount of overhead allocated to the wool product line and the cotton product line using activity-based costing.3. Calculate the overhead rate using traditional approach. (Round answer to 2 decimal places, e.g. 12.25.)4. What amount of overhead would be allocated to the wool and cotton product lines using the traditional approach, assuming direct labor hours were incurred evenly between the wool and cotton? The Yogurt Packaging company is now re-designing their factory. They are going to construct a building inthe shape of a square box. Their contractor has told them that the diagonal braces needed to make the roofare 150 feet long.(please help) 1. What would be the floor plan of the building? Label the diagonal braces 2. Find the dimensions of the new factory 3.Find the perimeter of the new factory 4.the yogurt machines will be placed along the wall of the new factory . Each machine is 10 feet wide. Find the company fit 40 of the machines in the building Why or Why not ? X^2-9 can be factored using the formula Approximately 350 million people speak English as their first ___(1)___ . About the same number use it __(2)___ a second language. It is the language ___(3)___ aviation, international sport and world trade. 75% of the world's mail is in English, 60% of the world's radio stations broadcast in English, and more than half of the world's newspapers are ___(4)___ in English. It is an official language in 44 countries. In ___(5)___ others, it is the language of business, commerce and technology. There are many varieties of English, but Scottish, Australian, Indian and Jamaican speakers of English, in spite of the differences in pronunciation, structure and vocabulary, would recognize that they are all speaking the same basic language.Question 1. A. language B. languages C. linguistics D. linguistQuestion 2. A. of B. with C. as D. inQuestion 3. A. on B. to C. from D. ofQuestion 4. A. spoken B. printed C. sold D. takenQuestion 5. A. an B. more C. many D. much prove that Sin^6 -cos^6=(2Sin^2-1)(cos^2+sin^4) please sove step by step with language it is opt maths question guys i willl give you 100 point and mark as brainlest answer Samira and Sonia each have a bag containing 20 sweets. In each bag, there are 5 red, 6 green and 9 yellow sweets.(a)(b)Samira chooses one sweet at random from her bag.Write down the probability that she chooses a yellow sweet. [1] Sonia chooses two sweets at random, without replacement, from her bag.(i) Show that the probability that she chooses two green sweets is 3 . 38(ii) Calculate the probability that the sweets she chooses are not both the same colour. If I get paid $100 a week but my car cost $4, 990 how long will I have to save to officially buy my car? Chemical epididymitis is a medical condition that in this author's mind seems to be quite nast What is chemical epididymitis and how might it occur? For the Parabola y = (x - 7)^2 3. the equation for the Line Of Symmetry is A 55-year-old male is sent to your office to have an esophagogastroduodenoscopy. He is a heavy drinker and smoker who also consumes spicy foods on a daily basis. He is quite anxious about having the procedure performed and is afraid he might choke during insertion of the scope. His father and younger brother were both diagnosed with esophageal cancer. His father died, but the brother was just recently diagnosed and is taking chemotherapy.A. List the risk factors the patient has for developing esophageal cancer. B. How might you calm the patient's fears about the procedure? what are the problems of drinking water in nepal? suggest the possible measures to solve it? In points What are some reasons why the control of insect pests is difficult? How much heat is added if .0948g of water is increased in temperature by .728 degrees C?.289 J.803 J1.46 J.055 J Which statement best describes the mood of Americans during the 1920s?1. They wanted to continue progressive reforms 2. They hoped for a return to normal life after WW1 3. They wanted to influence around the world 4. They wanted to return to an agricultural economy 13. Find a four digit number that is divisible by 3,5, and 8. What's 955 35 ?[tex]955 \div 35[/tex]