1/4x + 2/3 =19/12 I don’t understand how to do this equation

Answers

Answer 1

Answer:

X=11/13

Step-by-step explanation:

First, convert the non-variable fractions to a common denominator.

1/4x+8/12=19/12

1/4x=19/12-8/12

1/4x=11/12

x=11/12*4/1

x=44/12

x=11/3


Related Questions

convert 28km into cm

Answers

Answer:

28km to cm = 2,800,000cm

Step-by-step explanation:

In order to convert km to cm you have to times it by 100,000

So... 28 x 100,000 = 2,800,000

Hope this helps

Answer:2,800,000cm

Step-by-step explanation:

To convert a larger unit into a smaller unit, you must first check how much does the smaller unit need to make the larger unit. Then multiply the given larger unit to the amount of smaller unit that is equal to 1 of the larger unit.

Because: 100,000cm = 1km

So = 28km×100,000 =2,800,000cm

Arc length practice

Answers

Answer:

[tex]\large\boxed{s = 4\pi}[/tex]

Step-by-step explanation:

The arc length is determined by the formula [tex]s=r\theta[/tex], where s is the arc length, r is the radius, and [tex]\theta[/tex] is the value of the central angle (in radian formatting).

By substituting the values for the radius and the central angle, you can solve for the arc length.

[tex]\text{The radius is half of the diameter -} \: \boxed{\frac{4}{2}=2}[/tex].

The central angle is converted to radian form by multiplying the angle in degrees by the fraction of π/180 - 360° * π/180 = 360π/180 = 2π.

Now, substitute the values and solve for s.

s = (2)(2π)

[tex]\large\boxed{s = 4\pi}[/tex]

If 3sinA+4cosA=5 then find the value of cosA

Answers

Answer:

Cos A =1.4

Step-by-step explanation:

3sinA=5-4cosA; square both sides: 9sin^2(A)=25-40cosA+16cos^2(A);

9-9cos^2(A)=25-40cosA+16cos^2(A); 25cos^2(A)-40cosA+16=0=(5cosA-4)^2.

cosA=4/5 so sinA=3/5 (√(1-16/25) and sinA+cosA=7/5=1.4.

You want to borrow three rock CDs from your friend. She loves math puzzles and she always makes you solve one before you can borrow her stuff. Here’s the puzzle: Before you borrow three CDs, she will have 39 CDs. She will have half as many country CDs as rock CDs, and one-fourth as many soundtracks as country CDs. How many of each type of CD does she have after you borrow three rock CDs?

Answers

interesting puzzle,

total CDs=[tex]39[/tex]

country CDs $c$ is half of rock CDs $r$, $r=2c$

and one fourth of soundtrack $s$ as country CDs , $c=4s$

express in common variable s, $r+c+s=39$

$2(4s)+4s+s=39 \implies s=3$

so $c=12$ and $r=24$

after borrowing 3 rock CDs, there be $21$ rock CDs rest will be same

Porfavor, necesito ayuda con estos ejercicios.

Answers

Lo siento, no hablo español pero utilicé Google Translate .

HAHAHAHAHA

Is the given equation a quadratic equation? Explain. x(x−6)=−5

The equation is not a quadratic equation because there is no x2-term.

The equation is a quadratic equation because there is an x2-term.

The equation is not a quadratic equation because the expression is not equal to zero.

The equation is not a quadratic equation because there is a term with degree higher than 2.

I think the answer is A but im not sure.

Answers

Answer:

The equation is a quadratic equation because there is an x2-term.

Step-by-step explanation:

x(x−6)=−5

Distribute

x^2 -6x = -5

The equation is a quadratic equation because there is an x^2-term.

Answer:

Your required answer is option A.

Step-by-step explanation:

Here,

The given equation is;

x(x-6)=-5

now,

while finding x.

either or,

x=-5 (x-6)=-5

x= 1 (shifting-6 in next side)

now, the value of x is -5,1.

so, it's a quadratic equation.

( in quadratic equation the variable always has two values after solution)

Hope it helps..

calculate the amount and compound interest on rupees 4000 at the rate of 8% per annum compounded annually for 2 years​

Answers

Step-by-step explanation:

To calculate the compound interest we use the formula

C = A - P

Where

A is the amount

P is the principal

C is the compound interest

To find the amount we use the formula

[tex]A = P(1 + \frac{r}{100} ) ^{n} [/tex]

where P is the principal

r is the rate

n is the period

From the question

P = 4000 rupees

rate = 8%

n = 2 years

Substitute the values into the above formula

That's

[tex]A = 4000( 1 + \frac{8}{100} )^{2} [/tex]

[tex]A = 4000 ({1 + 0.08})^{2} [/tex][tex]A = 4000 ({1.08})^{2} [/tex]

A = 4665.6

The amount is 4665.60 rupees

Since the amount is found we can now find the compound interest

C = 4665.60 - 4000

C = 665.6

The compound interest is 665.60 rupees

Hope this helps you

Which equation has a constant of proportionality equal to 3? A. y= 8/5 x B. y= 1/3 x C. y= 1/4 x D. y= 18/6 x PLEASE HELP ME :c

Answers

Answer:

(D) [tex]y=\frac{18}{6}x[/tex]

Step-by-step explanation:

We will be able to know if an equation has a constant of proportionality of 3 if the constant which is being multiplied by x is equal to 3.

[tex]\frac{8}{5} =1.6[/tex] so no for A.

[tex]\frac{1}{3} = 0.\overline{33}[/tex] so no for B too.

[tex]\frac{1}{4} = 0.25[/tex] so no for C as well.

[tex]\frac{18}{6} = 3[/tex], so D works.

Hope this helped!

Joan weighs 10 pounds less than her older sister. The average of the two sisters’ weights is 85 pounds. How much does Joan’s older sister weigh?

Answers

Answer:

Joan's older sister weighs 90 pounds

Step-by-step explanation:

x = older sister

x - 10 = Joan

(x + (x-10))/2 = 85

2x - 10 = 170

2x = 180

x = 90

Answer:

90 pounds

Step-by-step explanation:

We can set up an equation to find their weights.

Let's start by naming Joan's weight x.

Her sister's weight would then be x+10, since Joan weighs 10 pounds less.

To find the average between 2 numbers, you need to add them together, then divide by 2.

So we can set up the following equation:

(x+x+10)/2=85

Now let's isolate x.

We can first multiply both sides by 2.

x+x+10=170

Combine like terms.

2x+10=170

Subtract 10 from both sides.

2x=160

Subtract both sides by 2.

x=80

Joan weighs 80 pounds.

x+10 is her sister's weight.

80+10=90

Joan's older sister weighs 90 pounds.

A piece of aluminum occupies a volume of 13.0 milliliters and weighs 52.9 grams. What is its density of the aluminum rounded to the nearest hundredth?

Answers

The density would have to be 13

Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possible lengths TP$? Enter the possible values, separated by commas.

Answers

Two answers: 5, 7

====================================================

Explanation:

A drawing may be helpful to see what's going on. Check out the diagram below. This is one way of drawing out the two triangles. The locations of the points don't really matter, and neither does the the orientation of how you rotate things. What does matter is we have the right points connected to form the segments mentioned.

----------

For now, focus on triangle TIP only. In order to have this be isosceles, we must make TP = 5 or TP = 7.

If TP = 5, then it's the same length as TI.

If TP = 7, then it's the same length as PI.

In either case, we have exactly two sides the same length (the other side different) which is what it means for a triangle to be isosceles.

----------

Let's consider triangle TOP. For it to be isosceles, we must have two sides the same length. We already locked in TP to be either 5 or 7 in the previous section above. So there's no way that TP could be 11 units long to match up with PO = 11.

If TP = 5, then OT must also be 5 units long so that triangle TOP is isosceles.

If TP = 7, then OT = 7 for similar reasoning.

Either way, TP only has two choices on what it could be.

----------

In short, we basically just write the first two values given to us to get the two triangles to be isosceles. We can't use TP = 11 as it would make triangle TIP to be scalene (all sides are different lengths).

Answer:

So we all cheat AOPS huh

Step-by-step explanation:

Plz help me this is probably easy but im just not seeing it plz help me ASAP

Answers

Answer: is attatched to the photo I sent

Step-by-step explanation:

I admit, this is tricky, just remember to think about it as where the shapes are the most similar. I'm not exactly sure how to explain it, but where it reflects like a mirror is the "copy"

The example I'm thinking of attached too, but these over lap so its diffucult

56:31
Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?

Answers

Answer:

The equation is (2+x) / 4 = 3

Total amount of chopped vegetables = 10 pounds

Step-by-step explanation:

Meat=2 pounds

Vegetables=x

Mixture= 2+x

She divides the mixture into 4 equal portions

(2+x)/4

Each portion weighs 3 pounds

(2+x)/4=3

Solve the equation

(2+x)/4=3

Cross product

(2+x) = 4 × 3

2+x=12

x=12-2

=10

x=10 pounds

Total amount of chopped vegetables = 10 pounds


Describe the relationship between GF and CD when the two lines are perpendicular to AB. Also describe the relationship between GF and CD is not perpendicular to AB

Answers

IF GF and CD are perpendicular to AB, one can say that they will or do not intersect each other. But if CD is not perpendicular to AB, GF and CD, do intersect at one (single) point.

What is the relationship about?

In the congruent relationship above, one can say that  two lines intersect to create a linear pair of congruent angles, and thus one can say that the lines are perpendicular in nature.

Therefore, in the case above, IF GF and CD are perpendicular to AB, one can say that they will or do not intersect each other. But if CD is not perpendicular to AB, GF and CD, do intersect at one (single) point.

Learn more about perpendicular lines from

https://brainly.com/question/379998

#SPJ1

A sum of $46875 was lent out at simple interest and at the end of 1 yr 8 month, the total amount was $50000. Find the rate interest per year.​

Answers

Answer:

4%

Step-by-step explanation:

As indicated in the question, this is a simple interest question.

The formula for Simple Interest =

I = Principal × Rate × Time

In the above question, we were given the following values.

A = Total value / amount of money = $50000

Principal = $46875

Rate = ??

Time = 1 yr and 8 months

= 1 year +(8/12)

Time = 1.6666666667 years

We are asked to solve for the rate interest per year. Hence, the formula to use to solve this question is given as:

r = (1/t)(A/P - 1)

r = (1/1.6666666667)(50000/46875 - 1)

r = 0.04

Converting to percentage, rate = 0.04 × 100 = 4%

Therefore, the rate interest per year is 4%

What is the difference between {2,3} and {{2,3}}

Answers

[tex]\{2,3\}[/tex] is a set containing two elements - numbers 2 and 3

[tex]\{\{2,3\}\}[/tex] is a set containing one element - a set [tex]\{2,3\}[/tex]

PLEASE help me with this question! No nonsense answers please. This is really urgent.

Answers

Answer:

last option

Step-by-step explanation:

Let's call the original angle x° and the radius of the circle y. The area of the original sector would be x / 360 * πy². The new angle, which is a 40% increase from x, can be represented as 1.4x so the area of the new sector is 1.4x / 360 * πy². Now, to find the corresponding change, we can calculate 1.4x / 360 * πy² ÷  x / 360 * πy² = (1.4x / 360 * πy²) * (360 * πy² / x). 360 * πy² cancels out so we're left with 1.4x / x which becomes 1.4, signifying that the area of the sector increases by 40%.

Line a and t are parallel. What is the value of x?
7x - 48
5x
pls help me

Answers

Answer:

x = 24

Step-by-step explanation:

We know that lines s and t are parallel. Then by definition, the two labelled angles, which are same-side angles, are congruent and equal in measure.

Then, we set the expressions equal to each other:

7x - 48 = 5x

Subtract 5x from both sides:

7x - 5x - 48 = 0

2x - 48 = 0

Add 48 to both sides:

2x = 48

Divide by 2:

x = 48/2 = 24

Thus, x = 24.

~ an aesthetics lover

What is another way to write 100,203 in other forms

Answers

Answer:

You can write in

Step-by-step explanation:

Lakhs

First write 100,203.

Put ones,tens,hundreds,thousands,ten thousands and lakh on top of each number from the extreme left.

This is how you can write 100,203 in another way. You can't write in any other way than this one.

Hope this helps....

Have a nice day!!!!

who is going to win the race?

Answers

Answer:

The correct answer is

Step-by-step explanation:

Red team is going to win the race as they have covered more area than other teams. I am a 100% sure of this answer.Hope this helps....Have a nice day!!!!

Answer:

Red Team

Step-by-step explanation:

Expand the following using the Binomial Theorem and Pascal’s triangle. Show your work. (x + 2)6 (x − 4)4 (2x + 3)5 (2x − 3y)4 In the expansion of (3a + 4b)8, which of the following are possible variable terms? Explain your reasoning. a2b3; a5b3; ab8; b8; a4b4; a8; ab7; a6b5

Answers

Answer:

The answer is below

Step-by-step explanation:

Expansion using pascal triangle:

a)  (x + 2)⁶ = x⁶2⁰ + 6(x⁵)(2)¹ + 15(x⁴)(2²) + 20(x³)(2³) + 15(x²)(2⁴) + 6(x)(2⁵) + 1(2⁶)

                 = x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64

b) (x-4)⁴ = x⁴ + 4(x³)(-4) + 6(x²)(-4)² + 4(x)(-4)³ + 1(x⁰)(-4)⁴

              =x⁴-16x³+96x²-256x+256

c) (2x + 3)⁵ = (2x)⁵ + 5(2x)⁴(3) + 10(2x)³(3)² + 10(2x)²(3)³ + 5(2x)(3)⁴ + 1(2x)⁰(3)⁵ =

                  = 32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

d) (2x-3y)⁴ = 1(2x)⁴(-3y)⁰ + 4(2x)³(-3y) + 6(2x)²(-3y)² + 4(2x)(-3y)³ + 1(2x)⁰(-3y)⁴

                  = 16x⁴- 96x³ + 216x² - 216x + 81

Expansion using binomial where [tex]C(n,r)=\frac{n!}{(n-r)!r!}[/tex]

a)  (x + 2)⁶ = C(6,0)[x⁶2⁰] + C(6,1)[(x⁵)(2)¹] + C(6,2)[(x⁴)(2²)] + C(6,3)[(x³)(2³)] + C(6,4)[(x²)(2⁴)] + C(6,5)[(x)(2⁵)] + C(6,6)[(2⁶)]

                = x⁶2⁰ + 6(x⁵)(2)¹ + 15(x⁴)(2²) + 20(x³)(2³) + 15(x²)(2⁴) + 6(x)(2⁵) + 1(2⁶)

                 = x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64

b) (x-4)⁴ = C(4,0)[x⁴] + C(4,1)[(x³)(-4)] + C(4,2)[(x²)(-4)²] + C(4,3)[(x)(-4)³] + C(4,4)[(x⁰)(-4)⁴]

              = x⁴ + 4(x³)(-4) + 6(x²)(-4)² + 4(x)(-4)³ + 1(x⁰)(-4)⁴

              =x⁴-16x³+96x²-256x+256

c) (2x + 3)⁵   = C(5,0)[(2x)⁵] + C(5,1)[(2x)⁴(3)] + C(5,2)[(2x)³(3)²] + C(5,3)[(2x)²(3)³] + C(5,4)[(2x)(3)⁴] + C(5,5)[(2x)⁰(3)⁵]

                   = (2x)⁵ + 5(2x)⁴(3) + 10(2x)³(3)² + 10(2x)²(3)³ + 5(2x)(3)⁴ + 1(2x)⁰(3)⁵

                  = 32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

d) (2x-3y)⁴ = C(4,0){(2x)⁴(-3y)⁰} + C(4,1)[(2x)³(-3y)] + C(4,2)[(2x)²(-3y)²] + C(4,3)[(2x)(-3y)³] + C(4,4)[(2x)⁰(-3y)⁴]

                  = 1(2x)⁴(-3y)⁰ + 4(2x)³(-3y) + 6(2x)²(-3y)² + 4(2x)(-3y)³ + 1(2x)⁰(-3y)⁴

                  = 16x⁴- 96x³ + 216x² - 216x + 81

In the expansion of (3a + 4b)⁸, the only possible variable terms are a⁵b³, b⁸, a⁴b⁴, a⁸, ab⁷ because for each of them, the sum of there powers is eight. If the sum of the powers is not 8 then it is not correct.

For a²b³, the sum of the power is 5, for ab⁸ the sum of power is 9 and for a⁶b⁵ the sum of the power is 11 therefore thy are not correct.

As per the question expand the bimonoidal theorem and the pascal triangle. Showing the (x+2)6 (x-4)4 (2x+3)5 (2x-3y)4.

Expansion using pascal triangle:a)  (x + 2)⁶ = x⁶2⁰ + 6(x⁵)(2)¹ + 15(x⁴)(2²) + 20(x³)(2³) + 15(x²)(2⁴) + 6(x)(2⁵) + 1(2⁶)      = x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64b) (x-4)⁴ = x⁴ + 4(x³)(-4) + 6(x²)(-4)² + 4(x)(-4)³ + 1(x⁰)(-4)  =x⁴-16x³+96x²-256x+256c) (2x + 3)⁵ = (2x)⁵ + 5(2x)⁴(3) + 10(2x)³(3)² + 10(2x)²(3)³ + 5(2x)(3)⁴ + 1(2x)⁰(3)⁵ = 32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243d) (2x-3y)⁴ = 1(2x)⁴(-3y)⁰ + 4(2x)³(-3y) + 6(2x)²(-3y)² + 4(2x)(-3y)³ + 1(2x)⁰(-3y)⁴ = 16x⁴- 96x³ + 216x² - 216x + 81.

Learn more about the use the binomial theorem.

brainly.com/question/11995132.

4. Alejandro Juarez is paid $829 every two weeks. a. What is Alejandro's yearly salary?
b. How much would Alejandro earn in one month?

Answers

Answer:

1.  21,554 PER YEAR

2. 1658 PER MONTH

Step-by-step explanation:

a.  

so there are approximately 52 weeks per year

and alejandro juarez gets 829$ per 2 weeks

1..............LETS FIGURE OUT HOW MUCH HE EARNS PER WEEK

SO 829/2=414.5

so he gets 414.5 $ PER WEEK

2............LETS MULTIPLY THE AMOUNT OF MONEY PER WEEK BY THE WEEKS

SO 414.5*52=21554

SO ALEJANDRO JUAREZ EARNS 21,554$ PER YEAR

B.

SO WE ALREDY KNOWS ALEJANDRO EARNS 414.5$ PER WEEK

AND THERE ARE APPROXIMATELY 4 WEEKS IN A MONTH

SO 414.5*4=1658

SO HE EARNS 1658$ PER MONTH

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

URGENT PLZ HELP THANK YOU!

Answers

Answer:

[tex](-5)^{11}[/tex]

Step-by-step explanation:

We can use the exponent rules. If we have [tex]\frac{a^b}{a^c}[/tex], then it will simplify to [tex]a^{b-c}[/tex].

b is 5, c is -6, and a is -5 so:

[tex]-5^{5-(-6)}\\-5^{11}[/tex]

Hope this helped!

ABC is an eqilateral triangle with sides 10cm find the length of the prependicular from A to BC

Answers

All sides are equal in an equilateral triangle and the perpendicular bisects the side too.

so BC will be bisected and the segments be 5 each.

you can use Pythagoras theorem to find the altitude length, hypotenuse will be one side of the triangle.

[tex] 5^2+h^2=10^2[/tex]

$h^2=100-25=75$

$h=\sqrt{75}=5\sqrt3$

In the diagram of the right triangle shown find the value of c.​

Answers

Answer:

Hey there!

20^2+25^2=c^2

400+625=c^2

1025=c^2

Square root 1025 is the correct answer, so option C.

Let me know if this helps :)

Answer: B

Step-by-step explanation:

What Is the answer to it?

Answers

Answer:

2(x + 10)

Step-by-step explanation:

The sum of x and 10 is x + 10

The product of 2 and x + 10 means multiply them, thus

2 × (x + 10)

= 2(x + 10) ← parenthesis indicates x and 10 are added before being multiplied by 2

A researcher performs a hypothesis test to test the claim that for a particular manufacturer, the mean weight of cereal in its 18 ounce boxes is less than 18 ounces. He uses the following hypotheses: H 0: μ = 18 vs H A: μ < 18 and finds a P-value of 0.01. Draw a conclusion about the cereal box weight at a significance level of 0.05.

Answers

Answer:

We conclude that the mean weight of cereal in its 18-ounce boxes is less than 18 ounces.

Step-by-step explanation:

We are given that a researcher performs a hypothesis test to test the claim that for a particular manufacturer, the mean weight of cereal in its 18-ounce boxes is less than 18 ounces.

Let [tex]\mu[/tex] = mean weight of cereal in its 18-ounce boxes.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 18       {mean that the mean weight of cereal in its 18-ounce boxes is equal to 18 ounces}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 18      {mean that the mean weight of cereal in its 18-ounce boxes is less than 18 ounces}

Also, it is given that the P-value is 0.01 and the level of significance is 0.05.

The decision rule based on the P-value is given by;

If the P-value of our test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis as our test statistics will fall in the rejection region.If the P-value of our test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis as our test statistics will not fall in the rejection region.

Here, clearly our P-value is less than the level of significance as 0.01 < 0.05, so we have sufficient evidence to reject our null hypothesis as our test statistics will fall in the rejection region.

Therefore, we conclude that the mean weight of cereal in its 18-ounce boxes is less than 18 ounces.

Point E is on line segment DF. Given DE
EF.
6 and DF =9, determine the length EF

Answers

Answer:

3

Step-by-step explanation:

IF point E lies on the line segment DF, this means that all the points DEF are collinear and DE+EF = DF.

Given parameter

DE = 6

DF = 9

Required

EF

Substituting the given parameter into the expression above to get the required will be;

DE+EF = DF.

EF = DF-DE

EF = 9-6

EF = 3

Hence the length of EF is equivalent to 3

Help please on this question. I’d appreciate it if you answered.

Answers

Ok so the letters overwrap all of the alphabets and the other terms are in.

Answer:

see below

Step-by-step explanation:

Consonants and vowels do not overlap

There are no consonants that are vowels and no vowels that are consonants

That means the circles will never touch

On a time limit answer asap pls

Answers

Answer:

160°

Step-by-step explanation:

Take notice that m∠1 and m∠2 are supplementary angles, meaning their angle measures will add up to 180°.

Since we know m∠2, we can find m∠1 easily.

180-20=160°

Hope this helped!

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(2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i) write an article for publicationin a national newspaper discussing at least two reasons why students should cultivatethe habit of Reading please help with this math question The largest religion in India today A la propiedad fundamental de las proporcionas, comprueba si las siguientes son o no hay elementos a) 5/7 a 15/21 b) 20/7 a 5/3 c) 16/8 a 4/2 On Monday, the seller offers to sell his vacant lot to the buyer for $42,000. On Tuesday, the buyer counteroffers to buy for $40,500. On Friday, the buyer learns that several other prospects may be making offers on the property, so he withdraws the counteroffer and agrees to the original asking price of $42,000. Under these conditions, there is Cada par de numeros esta a razon de 2:3 Which of the following do performance evaluation tests NOT measure? 15.Vicinal coupling is:A)coupling between 1H nuclei attached to adjacent C atoms.B)coupling between 1H nuclei in an alkene.C)coupling between 1H nuclei attached to the same C atom.D)coupling between 1H nuclei in an alkane. Fallon Company uses flexible budgets to control its selling expenses. Monthly sales are expected to range from $166,400 to $201,500. Variable costs and their percentage relationship to sales are sales commissions 7%, advertising 6%, travel 4%, and delivery 1%. Fixed selling expenses will consist of sales salaries $34,900, depreciation on delivery equipment $6,600, and insurance on delivery equipment $1,700. Prepare a monthly selling expense flexible budget for each $11,700 increment of sales within the relevant range for the year ending December 31, 2020. Find the measure of each angle indicated. Round to the nearest tenth.A) 49C) 38.1B) 44.90D) 42.89Can you please help explain how to find the answer A ship leaves the port of Miami with a bearing of S80E and a speed of 15 knots. After 1 hour, the ship turns 90 toward the south. After 2 hours, maintain the same speed. What is the bearing to the ship from port? he sales of the Garland Corporation are projected to grow exponentially for the years between 2010 and 2015 from $110 million to $160 million. (a) Find a model giving the sales of Garland Corporation in year t between 2010 (t Jamal lost his job as a shipbuilder. His plant closed down "temporarily" but never reopened and will not. Jamal's skills are very specialized and no longer in demand. His unemployment is best classified as . an idea/belief is to a ____ as a research prediction is to a ____ According to Piaget, children have acquired the cognitive skill of conservation when they're able to A 95% confidence interval indicates that:A. 95% of the intervals constructed using this process based on samples from this population willinclude the population meanB. 95% of the time the interval will include the sample meanC. 95% of the possible population means will be included by the intervalD. 95% of the possible sample means will be included by the interval Read the passage and answer the question: Leonard Zachary Bartholomew is the greatest cat who ever lived. When he lounges on the windowsill and watches birds and joggers, the entire neighborhood is filled with his benevolent presence. Which term best describes the passage? A. Situational irony B. Hyperbole C. Understatement D. Imagery In a survey of 119 students, it was found that 16 drink neither coke nor Pepsi 69 drinks coke and39 drink pepsiHow many students drink Coke only?How many students drink Pepsi only?Show the above information in a Venn diagram. Solve 3x square - 2 x + 7 x - 5