Staff at a fast food restaurant make up the cleaning solution in their spray bottles from a concentrate. In each 300mL bottle they pour 50mL of concentrate and fill the bottle the rest of the way with water. What is the ratio of concentrate to water used?

Answers

Answer 1

Answer:

1 : 5

Step-by-step explanation:

So 50mL is for thye concentrate then the rest is water which means the water is 300mL - 50mL = 250mL of water.

Ratio of concrentrate to water = 50mL: 250mL

To write a ratio you first write down the one stated first then the other one.

50mL : 250mL CAN BE SIMPLIFIED. This is done by dividing both parts by the highest common factor which is 50.

It then becomes 1 : 5.

HOPE THIS HELPED


Related Questions

What is the value of cosθ given that (−2, 9) is a point on the terminal side of θ ? 985√85 −985√85 285√85 −285√85​

Answers

Answer:

−2√85/85

Step-by-step explanation:

The required value of the cosθ is −2√85/85. Option D is correct.

Given that,
The value of cosθ given that (−2, 9) is a point on the terminal side of θ is to be determined.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

here,
horizontal run b = -2, vertical rise p = 9
Slant height,
h = √ -[2]² + [9]²
h = √4 + 81
h = √85
Now,
cosθ = b / h
cosθ = -2 / √85
cosθ = -2 √85/85

Thus, the required value of the cosθ is −2√85/85. Option D is correct.

Learn more about trigonometry equations here:

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It is assumed that the time customers spend in a record store is uniformly distributed between 3 and 12 minutes. Based on this information, what is the probability that a customer will be exactly 7.50 minutes in the record store

Answers

Answer:

0% probability that a customer will be exactly 7.50 minutes in the record store.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The uniform distribution is a continuous distribution, which means that the probability of an exact outcome is zero.

Uniformly distributed between 3 and 12 minutes.

This means that [tex]a = 3, b = 12[/tex]

What is the probability that a customer will be exactly 7.50 minutes in the record store?

Continuous distribution, so:

0% probability that a customer will be exactly 7.50 minutes in the record store.

79
Work out the circumference of this circle.
Take a to be 3.142 and write down all the digits given by your calculator.
14 cm

Answers

Answer: 43.988

Step-by-step explanation: The formula for the circumference of a circle is the diameter multiplied by pi. Since the diameter is 14 and it is telling us to use 3.142 as pi, we can multiply the two and get the answer.

Which expression is equivalent to cos120°?

Answers

The expression cos240 degrees is equivalent to cos120 degrees

Answer: B. cos240°

Step-by-step explanation:

Took the Test/Exam on Edge

PLEASE HELP on this question

Answers

9514 1404 393

Answer:

(s+r)(x) = 3x² +x +1(s-r)(x) = -3x² +x +1(s·r)(-3) = -54

Step-by-step explanation:

a) (s+r)(x) = s(x) +r(x) = (x+1) +3x²

  (s+r)(x) = 3x² +x +1

__

b) (s-r)(x) = s(x) -r(x) = (x +1) -(3x²)

  (s-r)(x) = -3x² +x +1

__

c) (s·r)(-3) = s(-3)·r(-3) = (-3+1)·(3(-3)²) = (-2)(27)

  (s·r)(-3) = -54

How many three digit numbers have a 2 as a tens digit??

Answers

Answer:

90 numbers

Step-by-step explanation:

Considering the stipulations from the question, the layout for the 3-digit number is:

[tex]\underline{x}\:\underline{2}\:\underline{y}[/tex]

The hundreds digit, [tex]x[/tex], can be any number from 1-9 inclusive, which contains 9 numbers.

The tens digit, 2, is fixed, as stipulated from the problem, and therefore may only be one number, 2.

The ones digit, [tex]y[/tex], can be any number from 0-9 inclusive which gives 10 options.

Therefore, there are [tex]9\cdot 1\cdot 10=\boxed{90}[/tex] three digit numbers that have 2 as a tens digit.

At a high school basketball game the Lions and the Eagles are playing. The Lions attempted 16 free throws and made 10, attempted 50 two-point shots and made 25, and attempted 16 three-point shots and made 12. The Eagles attempted 27 free throws and made 10, attempted 44 two-point shots and made 9, and attempted 17 three-point shots and made 12. (Free throws are worth 1 point each, two-point shots worth 2 points each, and three-point shots worth 3 points each)

Required:
a. What is the free throw percentage for the Lions?
b. What is the free throw percentage for the Eagles?
c. What is the field goal percentage (two-point and three-point shots combined) for the Lions?
d. What is the field goal percentage (two-point and three-point shots combined) for the Eagles?
e. How many points did the Lions score?
f. How many points did the Eagles score?
g. Which team won the basketball game?

Answers

Answer:

a. The free throw percentage for the Lions is of 62.5%.

b. The free throw percentage for the Eagles was of 37.04%.

c. The field goal percentage for the Lions was of 56.01%.

d. The field goal percentage for the Eagles was of 34.43%.

e. The Lions scored 96 points.

f. The Eagles scored 64 points.

g. Lions

Step-by-step explanation:

a. What is the free throw percentage for the Lions?

10 out of 16, so:

10*100%/16 = 62.5%.

The free throw percentage for the Lions is of 62.5%.

b. What is the free throw percentage for the Eagles?

10 out of 27, so:

10*100%/27 = 37.04%

The free throw percentage for the Eagles was of 37.04%.

c. What is the field goal percentage (two-point and three-point shots combined) for the Lions?

25 + 12 = 37 out of 50 + 16 = 66. So

37*100%/66 = 56.01%.

The field goal percentage for the Lions was of 56.01%.

d. What is the field goal percentage (two-point and three-point shots combined) for the Eagles?

9 + 12 = 21 out of 44 + 17 = 61. So

21*100%/61 = 34.43%

The field goal percentage for the Eagles was of 34.43%.

e. How many points did the Lions score?

10 free throws, 25 two's and 12 three's. So

[tex]10 + 25*2 + 12*3 = 96[/tex]

The Lions scored 96 points.

f. How many points did the Eagles score?

10 free throws, 9 two's and 12 three's. So

[tex]10 + 9*2 + 12*3 = 64[/tex]

The Eagles scored 64 points.

g. Which team won the basketball game?

The Lions scored more points, so they won.

Answer:

avaavavavavav

Step-by-step explanation:

To explain:The reason for the statement to be incorrect.A person participates in a weekly office pool in which he has one chance in ten of winning the prize. If he participates for five weeks in succession, the probability of winning at least one prize is 5/10.

Answers

Answer:

The correct answer is - given approach is incorrect.

Step-by-step explanation:

P = probability of winning = 1/10

q = probability of not winning = 1- (1/10) = 9/10

x = no. of winning

then, p (x ≥ 1) = 1 - p (x < 1)

= 1 - p (x=0)

= 1 - ⁵C₀ (1/10)^⁰ (9/10)^(5-0)

= 1 - (1) (1) (9/10)^5

=  1 - (9/10)^5

Solve the following "two-step" linear equation

6x+3=-1

Answers

Answer:

x = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

6x + 3 = - 1 ( subtract 3 from both sides )

6x = - 4 ( divide both sides by 6 )

x = [tex]\frac{-4}{6}[/tex] = - [tex]\frac{2}{3}[/tex]

hope this helps! feel free to clarify

A group of 120 students were surveyed about their interest in a new International Studies program. Interest was measured in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 40 students responded low interest. What is the relative frequency of students with high interest? A. 30% B. 36.4% C. 25% D. Cannot be determined. Group of answer choices

Answers

Answer:

Option C (25%) is the correct answer.

Step-by-step explanation:

Given:

Number of students,

= 120

Students responded high interest,

= 30

Students responded medium interest,

= 50

Students responded low interest,

= 40

Now,

The relative frequency will be:

= [tex]\frac{30}{120}[/tex]

= [tex]0.25[/tex]

or,

= [tex]25[/tex]%

What is the equation of the following line? Be sure to scroll down first to see
all answer options
(8.2)
f(0,0)
O A y = 18x
O B. y = 4x
O C. y = 2x
o D. y = 18x
O E y=-**
o E. y = - 3

Answers

Answer:

Step-by-step explanation:

If (8,2) and (0,0) are points on the line, the slope of the line is (2-0)/(8-0) = ¼.

y = ¼x

y = 1/4x is the equation of the  line passing through points (0, 0) and (8, 2)

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

slope of line passing through (0, 0) and (8, 2)

m=2/8

=1/4

Now let us find the y intercept in the equation.

2=1/4(8)+b

2=2+b

b=0

So equation will be y=1/4x.

To learn more on Equation:

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a study of patients who were overweight found that 53% also had elevated blood pressure. If 3 overweight patients are selected find the probability that all three have elevated blood pressure

Answers

Answer:

14.8%

Step-by-step explanation:

53/100*53/100*53/100

13% VAT is levied on a handicraft after 10% discount. If the VAT amount is Rs 910, then find the marked price and selling price of it with VAT.​

Answers

Answer:

The marked price was $ 7,777.77, and the selling price of it with VAT was $ 7,910.

Step-by-step explanation:

Given that 13% VAT is levied on a handicraft after 10% discount, if the VAT amount is $ 910, to find the marked price and selling price of it with VAT the following calculations must be performed:

13 = 910

100 = X

100 x 910/13 = X

91,000 / 13 = X

7000 = X

0.9 = 7000

1 = X

7000 / 0.9 = X

7,777.77 = X

Therefore, the marked price was $ 7,777.77, and the selling price of it with VAT was $ 7,910.

What is the volume of a calculate the total surface area of a cuboid with the following dimensions (4m by 6m by 8m)​

Answers

Answer:

V =192 m^3

Step-by-step explanation:

The volume of a cuboid is

V = l*w*h  where l is length w is width and h is height

V = 4*6*8

V =192 m^3

Find the equation of this line

Answers

Answer:

Sorry I can't help you. I can't see the problem.

Step-by-step explanation:

Identify the constant of proportionality from the table.
х у
2 18
5 45
7
63
8 72
A. 18
B.
C. 9
0 D. 2
< PREVIOUS

Answers

The Correct answer is C (9)

Find the unlabeled side length

Answers

Answer:

hope it helps you.......

Answer:

The unidentified length is 13

Step-by-step explanation:

To solve this we have to use the Pythagorean Theorem

[tex]a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\169=c^2\\13=c[/tex]

What is the value of y?

Answers

9514 1404 393

Answer:

  (d)  2

Step-by-step explanation:

The parallel lines divide the transversals proportionally, so we have ...

  3y/3 = 2y/y

  y = 2 . . . . . . . . . simplify (assuming y ≠ 0)

please help me out asap (geometry)

Answers

Answer:

SAS

Step-by-step explanation:

AB=DC which is one side

angles ABC and DCB are both right angles so they are equal

BC=BC because they are the same line segment

and since the congruent angles are between the congruent sides, its SAS

Yanni read 24 pages of
a book. 1 of the book is
still left to read. How many
pages are there in the
whole book?

Answers

There are 23 pages left to read

What is the y-coordinate of point T? Write a decimal coordinate.
_____
On a coordinate plane, point T is 3 units to the left and 4.5 units down.

Answers

Step-by-step explanation:

I hi0vkxihx FDI hs you gjvjz lhjckvif oghkkvxtosuikvc. nihdx hi I do it ch

Answer:

(-6,-9)

Step-by-step explanation:

I hope it really helps you

Joe is four years older than Tim. Ten years ago, Joe was twice as old as Tim. Find their ages now?

Answers

Answer:

Joe: 18 years old

Tim: 14 years old

Help I’ll mark you!!

Answers

Answer:

A.

Step-by-step explanation:

Each mark is worth two. We are inbetween the first mark and 0 on the left. Half of two is one. and since we are in the left quadrant we know it to be negative. Looking down, we see that we are exactly one mark down. As a mark is two, ans that we are going down, this will be a negative two. That leaves us with the answer of (-1, -2)

Answer:

A. (-1,-2)

Step-by-step explanation:

just trust me...I promise it right

A survey of households in a small town showed that in 850 of 1,200 sampled households, at least one member attended a town meeting during the year. Using the 99% level of confidence, what is the confidence interval for the proportion of households represented at a town meeting?

Answers

Answer:

Hence the confidence interval is ( 0.6745, 0.7422).

Step-by-step explanation:

Now the given are  

Sample size = n = 1200  

x = 850  

Sample proportion is  

[tex]\hat{p}=\frac{x}{n}=\frac{850}{1200}=0.7083[/tex]  

We have to construct 99% confidence interval for the population proportion.  

Formula Used:  

[tex](\hat{p}-E , \hat{p}+E)[/tex]  

Here E is a margin of error.  

[tex]E =Zc\times\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]  

Zc = 2.58  

[tex]E =2.58\times\sqrt{\frac{0.7083*(1-0.7083)}{1200}}\\\\E=2.58\times\sqrt{0.000172}=0.0339[/tex]  

So confidence interval is ( 0.7083 - 0.0339 , 0.7083 + 0.0339)

                                            = ( 0.6745 , 0.7422).

Find the surface of the figure round your answer to the nearest tenth if necessary

Answers

9514 1404 393

Answer:

  192 cm²

Step-by-step explanation:

The total surface area is the sum of the two triangular base areas and the three rectangular lateral face areas.

  SA = 2(1/2)(6 cm)(8 cm) + (6 cm +8 cm +10 cm)(6 cm) = 192 cm²

The surface area of the figure is 192 square centimeters.

find the domain and range of y= root x+3

Answers

Answer:

I guess this is the correct answer

If it costs $3.50 per square foot, what is the approximate total cost of making this
pipe that is open at both ends?
K.
30

A $210.00
B $659.40
C $340.69
D $681.38

Answers

Answer:

the right answer would be C

Answer:

Step-by-step explanation:

You first need to find the surface area of a completely open cylinder. That formula is

[tex]SA=2\pi rh[/tex] Using 3.14 for π, we find the area of the material that is needed to make this pipe:

SA = 2(3.14)(1)(30)

SA = 188.49 square feet.

If it costs $3.50 per square foot and you have 188.9 square feet, we multiply the cost per square foot times the number of square feet:

188.49(3.50) = $659.40, choice B.

A cell phone company claims that the average time a person spends on their phone is 12.8 hours a week. A sample of unknown size of phone users was selected, and the mean time they spent on their phones was 12.2 hours in a week, with a standard deviation of 2.3 hours. Using a 90% confidence level, how many people would the company have to sample in order for their hypothesis to be true

Answers

Answer:

30

Step-by-step explanation:

The sample size should be 30 for the given confidence interval of 90%.

Sample size is calculated as follows:

Sample size = Z score ^2 * standard deviation * [ 1 - Standard deviation] / margin of error^2

For the given 90% confidence level, the sample size calculated as;

Sample size = 1.645^2 * 2.3 [1 - 2.3] / 0.01^2

sample size = 30.

it is found that 4% of watches produced at a particular factory are defective. If 20 watches made at this factory are randomly selected, what is the probbility that at mpst 1 watch in the same sample is found to be defective

Answers

Answer:

0.81 = 81% probability that at most 1 watch in the sample is defective.

Step-by-step explanation:

For each watch, there are only two possible outcomes. Either it is defective, or it is not. The probability of a watch being defective is independent of any other watch, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

4% of watches produced at a particular factory are defective.

This means that [tex]p = 0.04[/tex]

20 watches made at this factory are randomly selected

This means that [tex]n = 20[/tex]

What is the probability that at most 1 watch in the same sample is found to be defective?

This is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.04)^{0}.(0.96)^{20} = 0.442[/tex]

[tex]P(X = 1) = C_{20,1}.(0.04)^{1}.(0.96)^{19} = 0.368[/tex]

Then

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.442 + 0.368 = 0.81[/tex]

0.81 = 81% probability that at most 1 watch in the sample is defective.

please help, will give brainliest!!!

Answers

Answer: f(x) = 6x+1/3

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

Explanation:

To find the original function from the inverse which is y = 3x-1/6, you replace the y with the x and then solve for y in terms of x.

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

So therefore, your original function must be f(x) = 6x+1/3

Hope you understand it :)
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