Mathematics College


The table below shows Abigail's earnings on the job.
1 pts
Time (hours) Earnings (dollars)
21
$709.80
23
$777.40
35
$1183
What is the unit rate or Constant of Proportionality shown in this table?
How much money does Abigail earn for each hour that she works?

The Table Below Shows Abigail's Earnings On The Job.1 PtsTime (hours) Earnings (dollars)21$709.8023$777.4035$1183What

Answers

Answer 1

Answer:

Option (2)

Step-by-step explanation:

In this question we have to calculate the rate of earning or proportionality constant of Abigail.

Since, earning of Abigail (y) ∝ Time worked (t)

y = kt

Here, k = Proportionality constant

From the table attached,

If y = $709.80 and x = 21 hours

709.80 = 21k

k = [tex]\frac{709.8}{21}[/tex]

k = $33.80 per hour

Therefore, rat of earning or proportionality constant is $33.80

Option (2) will be the correct option.

Related Questions

Find the surface area.

Answers

Answer:

do you want to me to find it for all or just 1

Answer:

88 [tex]m^{2}[/tex]

Step-by-step explanation:

The surface are is the total area of all the faces

Opposite faces have the same area

Label each side either l, h or w

SA of a cuboid = 2lw + 2lh + 2hw

(2 x 4 x 6) + (2 x 4 x 2) + (2 x 6 x 2) = 8

increase 70 in ratio 3:2​

Answers

i believe the answer is 105
The answer is 105 hope this helps

A study was performed to investigate whether teens and adults had different habits when it comes to consuming meat-free meals. In particular, the researchers were interested in the relationship between p1, the proportion of teens who would report eating at least one meat-free meal in the past week, and p2, the proportion of adults who would report eating at least one meat-free meal in the past week. A random sample of 875 teens and a separate random sample of 2,323 adults found that 555 of the teens and 1,601 of the adults reported eating at least one meat-free meal in the past week. The conditions for inference were checked and verified. What is the correct set of hypotheses the researchers should test in this scenario

Answers

Answer:

H₀ should be rejected at CI 95% .

Then the proportion of adults with 95 % CI is bigger than the proportion of teen

Step-by-step explanation:

From adult sample:

n₂ = 2323

x₂ = 1601

p₂ = 1601 / 2323         p₂  = 0,689       or    p₂ = 68,9%

From teen sample:

n₁ = 875

x₁ = 555

p₁ = 555/ 875           p₁  = 0,634          or    p₁  = 63,4

Values of p₁  and  p₂   suggest that the proportion of adults consuming at least one meat free meal per week is bigger than teen proportion.

To either prove or reject the above statement we have to develop a difference of proportion test according to:

Hypothesis test:

Null Hypothesis                   H₀             p₁  =  p₂

Alternative Hypothesis       Hₐ             p₂  > p₁

So is a one-tail test to the right

We can establish a confidence interval of 95 % then  α = 5 %

or    α = 0,05

As the samples are big enough we will develop a z test

Then  z(c)  for α = 0,05   from z table is     z(c) = 1,64

To calculate z(s)

z(s) = ( p₂  -  p₁ ) / √p*q* ( 1/n₁  + 1/n₂ )

where p = ( x₁ + x₂ ) / n₁ + n₂       p = 555 + 1601 / 875 + 2323

p = 2156/3198       p = 0,674

and   q = 1 - 0,674        q = 0,326

z(s) = ( 0,689 - 0,634 ) / √0,674*0,326 ( 1/875 + 1 / 2323

z(s) = 0,055/ √ 0,2197 ( 0,00114 + 0,00043)

z(s) = 0,055/ √0,2197* 0,00157

z(s) = 0,055/ √ 3,45*10⁻⁴

z(s) = 0,055 / 1,85*10⁻²

z(s) = 5,5/1,85

z(s) = 2,97

Comparing  z(s) and z(c)     z(s) > z(c)

Then z(s) is in the rejection region we reject H₀.

We can claim that the proportion of adult eating at least one meat-free meal is bigger than the proportion of teen

Subtract 14y + 375 from 8(2y − 1)

Answers

Answer:

2y + 367

Step-by-step explanation:

8(2y - 1) - 14y + 375

16y - 8 - 14y + 375

2y + 367

Find the range of the data. 26, 21, 27, 33, 24, 29

Answers

Answer:

33-21=9

Step-by-step explanation:

Can someone explain the answer Im lost ​

Answers

Answer:

1/4

Step-by-step explanation:

Probability of getting an odd number on a die = 3/6 = 1/2

Probability of getting tails on a coin = 1/2

Now you multiply both probabilities since the question says "and". If it says "or", then you add the probabilities.

1/2 × 1/2 = 1/4

How many cups are in 5/1/2 pints

Answers

Answer:

11 cups

Step-by-step explanation:

Answer:

11 us cups are in 5 1/2 pints

Step-by-step explanation:

hope this helps

SOMEONE PLZZ HELP ME! THIS IS DUE TODAY (I WILL GIVE BRAINLIEST)

Answers

22x+50 > 105

22x + 50 - 50 > 105 - 50

22x > 55

x > 2.5

They will earn more than $105 after 2.5 years

Can somebody solve this?

Answers

Answer:4

Step-by-step explanation:2+2=4

10x+2
To find the perimeter, you would add all of the sides up.
3x+2+3x+2+2x-1+2x-1
=10x+2

Logan purchased 20 stamps at the post office for $8.40. What is the cost of one stamp?

Answers

Answer:

.42

Step-by-step explanation:

Step-by-step explanation:

Divide 8.40 by 20, use a calculator. Make sure to put $ in your answer.

Pls help thank you :)

The dot plot represents the number of apples picked by a family. Explain how the outlier of the data affects the statistical summary of the data.

Select the answers from the drop-down menus to complete the statements.

The mean apples picked
increases or decreases or does not change?
because of the outlier.

The median apples picked
increases or decreases or does not change?
because of the outlier.

The range
increases or decreases or does not change?
because of the outlier.

Answers

Answer:

Decreases, decreases, increases

Just took the test

Step-by-step explanation:

Moira solved a problem on the board. What error did Moira make and how can she correct it?

12x + 10 = 54 - 10x
12x + 10 - 10 = 54 - 10x - 10
12x = 44 - 10x
12x - 10X = 44 - 10x + 10x
2x = 44
X = 22

A- On the left side of the equation, Moira should have subtracted 10x, and on the right side of the equation, Moira should have added 10x.

B- On the left side of the equation, Moira should have added 10x, and on the right side of the equation, Moira should have subtracted 10x.

C- On the left side of the equation, Moira should have added 10x, and on the right side of the equation, Moira should have also added 10x.

D- On the left side of the equation, Moira should have subtracted 10x, and on the right side of the equation, Moira should have also subtracted 10x.

Please I really need it

Answers

Answer:

C

Step-by-step explanation:

What you do on one side of the equation, you do to the other. She added 10x on the right side and subtracted 10x on the left when she should have added 10x on both sides.

Use the circle below.
a. What appear to be the minor arcs of OL?
b. What appear to be the semicircles of OL?
c. What appear to be the major arcs of OL that contain point K?

Answers

Answer:

a. IH and JK

b. IK and HJ

c. HK

Step-by-step explanation:

IH and JK are the minor arcs because the other arcs (IJ and HK) are major arcs. They (IH and JK) are minor arcs because they are acute angle and the other arcs are Obtuse.

IK and HJ are semicircles because they are two points that is forming a line between the circle. two points that are connected, is already a semicircle.

HK is a major arc because it's central angle is obtuse.

Karyn has 11/8 pounds of chili to put into three bowls. The amount of chili in each bowl does not have to be the same. How much chili could Karyn put into each bowl? Solve this
​

Answers

Answer:

bowl a: 11/8 pounds of chili

bowl b: 11/24 pounds of chili

bowl c: 33/48

Jin is planning to drive from City X to City Y. The scale drawing below shows the
distance between the two cities with a scale of 1/4 inch = 14 miles.

Answers

Answer:

84 miles

Step-by-step explanation:

Distance between the two cities on the drawing = 1½ in.

Scale of drawing = ¼ inches is to 14 miles

Actual distance between the two cities using proportion:

(14*1½)/¼

Actual distance = 84 miles

܀ 35. Your command issued 400 tickets i
January. Twenty percent of those tickets were for speeding. How many tickets were issued for speeding in the month of January?
(A) 80
(B)70
(C) 60
(D) 90 ​

Answers

A. Because 400x.20=80

Which value represents a horizontal shift (left and right) in the following function y=a*sin(bx-c)+d

Answers

The value is C because it represents the shift

Sally is planning the school picnic and needs to decide what food vendor to
use. She asks 500 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothies Total
17
250
Eighth-graders 233
Ninth-graders 240
10
250
Total
473
27
500
What is the relative frequency of eighth-graders who want fruit smoothies?
O A. 0.03
OB. 0.02
O C. 0.48
O D. 0.17

Answers

Answer:0.03

Step-by-step explanation:

Answer:

0.03

Step-by-step explanation:

someone please help me answer this!!!

Answers

Answer:

15 using the Pythagorean theorem.

hope it helps, plz mark me as brainliest.

Answer:

15 units is the answer.

Step-by-step explanation:

points are (-3,-4) and (6,8)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-3))^2 + (8-(-4))^2}\\\\d=\sqrt{(9)^2+(12)^2} \\\\d=\sqrt{81+144} \\\\d=\sqrt{225} \\\\d=15[/tex]

∴ d = 15 units is the distance between the points.

What is 15.74 rounded to the nearest whole number?( no links or files plz will get a brainliest)

Answers

Answer:

16

Step-by-step explanation:

Edit: Lol I learned this a while ago but imagine a ladder 5 or more goes up for sure 4 or less let it rest. Meaning anything over 5 goes up to the next digit and anything lower like 4 stays on that number

Answer:

16.

15.74 is closer to 16 than 15

The sine regression model uses a form that approximates the data as an algebraic representation of the graph.
Choose the sine regression model from the following:
ay=sin(x +c)+d
b. y=mx+
C. y - Ar? +BX+C
d.
-6+ 6²-4ac
2a

Answers

Answer:

The answer is A

Step-by-step explanation:

A: ay=sin(x +c)+d  I got a 100 on the test

What part of a
a dozen is 8?​

Answers

Answer:

8 Dozen eggs would mean, 8 X 12 = 96 eggs

Step-by-step explanation:

Answer:

[tex]\frac{2}{3}[/tex]

or

0.67

Step-by-step explanation:

a dozen is 12

12/4 = 3

8/4 = 2

8 is 2/3 of a dozen(12)

2/ 3 = 0.66666666666667 which is about 0.67

4z + 8 - 6=

7z ÷ 4 + 5x=

y² ÷ (3z) =
I NEED HELP :(​

Answers

Answer:

1: 14z+2

2: 7z/4 + 5x

3: y²/3z

I’ll mark as BRANLIEST!!

35 POINTS!!

- Determine whether each table or rule represents a linear or exponential function. Explain why or why not.

Answers

1 is exponential because the numbers, when multiplied together, do not make the same numbers

2 is exponential because of an exponent being the modified variable

3 is linear because it is just multiplication which is a simple pattern

Answer:

Definitions of gravitational force. (physics) the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface. synonyms: gravitation, gravitational attraction, gravity.

what is the place value of 5 in . number 4 256​

Answers

Answer:

4 2 5 6

Ones : 6

Tens : 5

Hundreds : 2

Thousands : 4

Step-by-step explanation:

hope I'm right

For 3-7, Open Response
For 3-7, Determine whether the linear
relationship is proportional. Show
work.
3. Gabrielle is buying bananas. Each
banana costs 9 cents.

Answers

The linear relationship is proportional

Determining whether the linear relationship is proportional

From the question, we have the following parameters that can be used in our computation:

Gabrielle is buying bananas. Each banana costs 9 cents.

Using the above as a guide, we have the following:

Unit rate = Cost of banana/Number of banans

substitute the known values in the above equation, so, we have the following representation

Unit rate = 9/1

Evaluate

Unit rate = 9 cent per banana

This means that the linear relationship is proportional

Read more about proportional relationship at

https://brainly.com/question/28651666

#SPJ1

Need help on em punett sqaures

Answers

Answer:

Black Fur: 100%    White Fur: 0%

Step-by-step explanation:

    B     B

b  Bb  Bb              (all dominant)

b  Bb  Bb

Black Fur: 100%  White Fur: 0%

Answer:

B B

______

b | Bb | Bb |

b | Bb | Bb |

_____

Phenotype Probability (%):

Black Fur: 100%

White Fur: 0%

_____________________

A population of bacteria in a petri dish is modeled by the function p(x)=88x , where x is the number of hours that have elapsed since the bacteria was introduced to the petri dish.

When will there be fewer than 512 bacteria?

Enter your answer rounded to the nearest hundredth in the boxes.

Answers

Answer:

3.14

Step-by-step explanation:

The answer is going to be 3.14

Hope it helps!

Please help me i really need help​

Answers

B is your answer hope that helps

Answer:

[tex]A=745.06[/tex]

[tex]C=96.76[/tex]

In the right triangle shown, find x.
PLEASE HELP!!!!

Answers

Cos40= adjacent/ hypotenuse
Cos40=10/x
x=10/cos40 or choice A
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