Alejandro has just gotten a new job. The relationship between the number of hours he works, xx, and his total earnings, yy, is represented by the graph below.
A point (4,904,90) is labeled below. Which statement about the graph is true?
0
Number of Hours
Total Earning (in dollars)
x
y
0
Number of Hours
Total Earning (in dollars)
(4 , 90)

The unit rate is 4 hours per dollar
The unit rate is 22.5 hours per dollar
The unit rate is $90.00 per hour
The unit rate is $22.50 per hour

Answers

Answer 1

The statement that is true about the graph as it relates the unit rate is:

d. The unit rate is $22.50 per hour

How to find Unit Rate

Unit rate of a relationship between two variables, x and y, that are proportionally related can be found using k = y/x, where k is the unit rate.

Given that:

x = hours he worked

y = his total earnings

We are told that (4, 90) is a point on the graph.

Using the point, (4, 90), we can find the unit rate as shown below:

k = y/x = 90/4

k = 22.5

Therefore, the statement that is true about the graph as it relates the unit rate is:

d. The unit rate is $22.50 per hour

Learn more about the unit rate on:

https://brainly.com/question/11599895


Related Questions

Need help ASAP rocky ! Help needed

Answers

Answer:

x/x∈R,x≤5 1/6

Step-by-step explanation:

Find the missing side of the triangle

Answers

I dont know the answer lol but imma say B


A box contains 4 red cubes, 3 blue cubes, 2 green cubes, and 1 yellow cube. You pick two cubes at random, replacing each after you pick. Find the probability of picking a blue and then a red.

A.3/25

B.9/100

C.3/4

D.4/25

Answers

Answer:

Step-by-step explanation:

There are 10 cubes all together.

You want blue and then red with replacement.

Blue

P(B then red) = 3/10 * 4/10 = 12 / 100

12/100 reduces to 3/25

The answer is A

Answer:

A?

Step-by-step explanation:

rút gọn M=[ căn x -2/x-1- căn x +2/x+2 căn x+ 1] nhân x bình-2x+1/2 với x>0 x khác 1

Answers

Answer:

Step-by-step explanation:

Can u help solve this problem

Answers

Answer:

45in³

Step-by-step explanation:

6 x 5 x 3 = 90/2 = 45in³

the correct answer is 45 in^3

428363939+42724289292952926263938

Answers

Answer:

4.2724289e

+22

Step-by-step explanation:

mzmznznxnxnznxn no n n j j h h h h h h hh h h &

answer: 4.2724289e+22

Name the property shown by the statement a + (b + 2) = (a + b) + 2

Answers

Answer:

The associative property

Step-by-step explanation:

In brief terms, the associative property states that when one has like operations, or an operation and its inverse, one can add parenthesis to the equation without changing the final answer. One can also change the place in which the parenthesis stands in this expression without altering the result. remember, an operation and its inverse refers to any operation and the operation that is done to undo the operation. The following is a list of such operations:

[tex]x^n=b[/tex]        [tex]\sqrt[n]{b}=x[/tex]

[tex]a*b[/tex]            [tex]a[/tex] ÷ [tex]b[/tex]

[tex]a+b[/tex]           [tex]a-b[/tex]

Complete the table of values of y = 14 x + 1.

Answers

Answer:

-4,0

0,1

8,3

======

x: -4, 0, 8

f(x) = 1/4(x) + 1

Plug in x values into f(x)...

f(-4) = 0

f(0) = 1

f(8) = 3

Simplify for me please

Answers

6^21

it would equal about 2.19^10 just as the original equation

hope this helps:))

secA-tanA=(cosA/2-sinA/2)/(cosA/2+sinA/2)​

Answers

Answer:

Step-by-step explanation:

SecA - TanA

= 1/CosA - SinA/CosA

= 1 - SinA/CosA

We know that Sin2A = 2SinACosA  and Cos2A = Cos²A - Sin²A

Thus SinA = Sin2(A/2) = 2Sin(A/2)CosA/2

       CosA = Cos2(A/2) = Cos²A/2 - Sin²A/2

Now substituting the values back,

=> 1 - 2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)

// we know that Sin²θ + Cos²θ = 1

=> Sin²(A/2) + Cos²A/2 -  2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)

//We know that numerator is of form a² + b² - 2ab which is (a - b)².

//Similarly denominator is of form a² - b² which is (a - b)(a + b)

=> [Sin(A/2) - Cos(A/2)]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]

=> [ - {Cos(A/2) - Sin(A/2)}]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]

=> [Cos(A/2) - Sin(A/2)]² /  [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]

=> [Cos(A/2) - Sin(A/2)] / [Cos(A/2) + Sin(A/2)]

= R.H.S

Hence proved.

If m∠A = 43° and the measure of arc AB = 69°, then m∠B = ° (Blank 1). (Round your answer to one decimal place, if necessary.)

Answers

Answer:  102.5 degrees

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

Explanation:

If angle A is 43 degrees, then minor arc BC is 2*43 = 86 degrees according to the inscribed angle theorem. The central angle is twice that of the inscribed angle. Both of these angles subtend the same minor arc.

When I say "minor arc BC", I mean that we go from B to C along the shortest path. Any minor arc is always less than 180 degrees.

Since minor arc AB is 69 degrees, and minor arc BC is 86 degrees, this means arc ABC is arcAB+arcBC = 69+86 = 155 degrees

Let's say point D is some point on the circle that isn't between A and B, and it's not between B and C either. Refer to the diagram below. The diagram is to scale. The diagram your teacher provided is not to scale because arc ABC is way too big (it appears to be over 180 degrees). Hopefully the diagram below gives you a better sense of what's going on.

Because arc ABC = 155 degrees, this means the remaining part of the circle, arc ADC, is 360-(arc ABC) = 360-155 = 205 degrees

Inscribed angle B subtends arc ADC. So we'll use the inscribed angle theorem again, but this time go in reverse from before. We'll cut that 205 degree angle in half to get 205/2 = 102.5 degrees which is the measure of angle B. This value is exact. In this case, we don't need to apply any rounding.

An angle measures 89.8° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Complementary angles always are 90 degrees when added to each other, so:

x = angle 1

x + 89.8 = angle 2

x + x + 89.8 = 90

2x = 90 - 89.8

2x = 0.2

x = 0.1

angle 1 = 0.1 degrees

angle 2 = 0.1 + 89.8 = 89.9 degrees

if you want to check, just sum one to the other and see if they equal 90, like this: 89.9 + 0.1 = 90

Which of the following lists of ordered pairs is a function? A. (2,5), (3, 6), (6, 9) B. (-1,2), (2, 3), (3, 1), (2,5) C. (1,2), (4,0), (3,5),(4,3) D. (2,5), (3, 6), (2, 1)​

Answers

Answer:

A. (2,5), (3,6), (6,9)

Step-by-step explanation:

In order to be a function, all inputs (x values) must go to only one output (y value). List A is the only list that obeys this rule. Therefore, List A is a function.

option A(2,5),(3,6),(6,9)

[tex]\frac{1}{3-6y} + \frac{1}{y} = \frac{1}{6\\}[/tex]

Answers

Answer:

y = 11 + √ 73/ 4  , 11 − √ 73 /4

Step-by-step explanation:

Find the measure of the indicated angle.

Answers

Answer:

i think it the measured of the indicated angle is 55

A student states that Figure JKLM is congruent to Figure PQRS. Determine if the student is correct or has made an error. ;D

Answers

Answer:

Student has made an error

Step-by-step explanation:

If two figures are said to be congruent, this implies that area of both is same and both as exactly same or copy or each other.

But from the graph, it can be stated that height of figure JKLM is 4 units whereas that of other is 6 unit.

Hence explained !

Surveys were sent to a random sample of owners of all-wheel-drive (AWD) vehicles and to a random sample of owners of front-wheel-drive (FWD) vehicles. The proportion of owners who were satisfied with their vehicles was recorded for each sample. The sample proportions were used to construct the 95 percent confidence interval for a difference in population proportions (FWD minus AWD) for satisfied owners. The interval is given as (−0.01,0.12). A car company believes that the proportion of satisfied owners of AWD vehicles differs from the proportion of satisfied owners of FWD vehicles. Does the confidence interval provide evidence that this belief is plausible?

Answers

Answer:

No, the confidence interval does not provide evidence that this belief is plausible as the confidence interval range contains the null value (0)

Step-by-step explanation:

Given that the confidence interval for the mean difference of AWD and FWD vehicles is :

(−0.01,0.12)

When defining the hypothesis for mean difference :

H0 : μ1 - μ2 = 0

H1 : μ1 - μ2 ≠ 0

Using the confidence interval result, reject the Null if the confidence interval value at the given α - level does not contain 0 ; otherwise fail to reject the Null ;

Since the (−0.01,0.12) contains 0 ; then we fail to reject the Null and conclude that there is no statistically significant difference between the two groups

Help pls will give brainliest

Answers

Answer:

195.06

Step-by-step explanation:

area of circle = πr^2 = π8^2 = 64π

area of triangle = 1/2 x 4 x 3 = 6

area of shape = 64π-6 = 195.061929 = 195.06

If the mortgage interest rates increase, this would be an example of changing your external environment.

Answers

Answer:

Economic conditions

Step-by-step explanation:

If the mortgage interest rates increase, this would be an example of changing Economic conditions in a company's your external environment

Mortgage is the legal agreement/arrangement between a financial institution and a debtor wherein the Financial institution lends funds to the debtor at an interest rate, and also with the title of the property owned by the debtor.

once the debtor repays the mortgage he retains the full ownership of his property.

BRAINLEST IF CORRECT!!!!!!!

Answers

Answer:[tex]\huge \boxed{x=180-26-90=64}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have the angels 180, 26, 90(right angle) and x. So when you add them all up you should get 360 because there aren’t two straight lines. Only line makes a 180 angle. So...

180 + 26 + 90 + x = 360

296 + x = 360

x = 360 - 296

x = 64

Find m<DCV and m<VBD​

Answers

Answer:

∠ DCV = ∠ VBD = 50°

Step-by-step explanation:

The inscribed angles DCV and VBD are half the measure of their intercepted arcs, that is

∠ DCV = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°

∠ VBD = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°

HELP ME PLEASE I NEED HELP

Consider the end behavior of the function g(x) = 4|x − 2| − 3.

As x approaches negative infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.


As x approaches positive infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.

Answers

Answer:

Step-by-step explanation:

This is a narrower-than-normal absolute value graph, which is a v-shaped graph. It's pointy part, the vertex, lies at (2, -3) and it opens upwards without bounds along both the positive and negative x axes. Therefore, as x approaches negative infinity, f(x) or y (same thing) approaches positive infinity. As x approaches positive infinity, f(x) approaches positive infinity.

Juan concludes that x? + 7x + 3 cannot be factored using integers.
is juan correct? how could juan improve his strategy?

Answers

I HOPE IT WILL HELP YOU. If it is right then plz tell me .

-4d - 5 = -1 answer for me pls

Answers

[tex]\\ \sf\longmapsto -4d-5=-1[/tex]

Cancel - from both sides

[tex]\\ \sf\longmapsto -(4d+5)=-(1)[/tex]

[tex]\\ \sf\longmapsto 4d+5=1[/tex]

[tex]\\ \sf\longmapsto 4d=1-5[/tex]

[tex]\\ \sf\longmapsto 4d=-4[/tex]

[tex]\\ \sf\longmapsto d=\dfrac{-4}{4}[/tex]

[tex]\\ \sf\longmapsto d=-1[/tex]

I WILL GIVE BRAINLIEST IF TWO PEOPLE ANSWER! PLEASE PUT WHAT X IS, AND PLEASE PUT THE REASONS OF HOW YOU DID IT, FOR INSTANCE, SUBSTITUTION, OR ALTERNATE INTERIOR ANGLES

Answers

Answer:

14°

Step-by-step explanation:

4x + 32 + 64 = 180 => x = 14 (°)

PLEASE HELP ASAP!!! i dont understand :(

Answers

Answer:

hello,

Step-by-step explanation:

y=k(x-a')²+b'

focus is (a',1/(4k)+b')

2x²=-120y

==> y=-2/120x²

==> y=-1/60(x-0)²+0

focus= (0,-15)

What is the equation of a line, in slope-intercept form, that has a slope of 3 and contains the point (0,5)?

Answers

Y=mx+b

That is slope intercept form.
m= slope, which is 3
b= y-int, which is 5.
The y intercept is the value of y/ coordinate where the function intercepts the y axis. The y int is where x=0. In this case, y=5 when x=0.

Then just substitute those numbers into the equation.

y=3x+5

In the figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠2=55°.


What is m∠8?






Enter your answer in the box.


°

Line a b parallel to line c d is cut by a transversal forming 8 angles. The angles formed when the transversal intersects with line A B clockwise starting from top left are angle 1, 2, 3, and 4. The angles formed where the transversal intersects line c d clockwise from top left are angle 5, 6, 7, and 8.

measure of angle E is 2 x degrees.

Answers

Answer:

m<8 = m<2, both are equal since they are alternate exterior angles.

m<2 = 55° given, so m<8 = 55°

Answered by GAUTHMATH

Beaker A contains 1 liter which is 15 percent oil and the rest is vinegar, thoroughly mixed up. Beaker B contains 2 liters which is 55 percent oil and the rest vinegar, completely mixed up. Half of the contents of B are poured into A, then completely mixed up. How much oil should now be added to A to produce a mixture which is 60 percent oil

Answers

Answer:

Add 1.25 litres of oil.

Step-by-step explanation:

Contents in beaker A implies;

15% of oil in 1 litre = 0.15 litres of oil

So that, there are 0.15 litres of oil and 0.85 litres of vinegar in beaker A.

Contents in beaker B implies:

55% of oil in 2 litres = 1.1 litres of oil

So that, thee are 1.1 litres of oil and 0.9 litres of vinegar in beaker B.

Half of contents of B poured into A implies that beaker A now contains:

0.15 litres + 0.55 litres = 0.7 litres of oil

0.85 litres + 0.45 litres = 1.3 litres of vinegar

The percentage of oil in A now = [tex]\frac{0.7}{2}[/tex] x 100%

                                                    = 35%

To increase the percentage of oil to 60%, then:

0.7 litres + 1.25 litres = 1.95 litres of oil

But the new total litres of the content in beaker A = 3.25 litres

So that;

[tex]\frac{1.95}{3.25}[/tex] x 100% = 60%

Therefore, to produce a mixture which is 60% oil, add 1.25 litres of oil.

Where is the blue dot on the number line ?

Answers

It is at 1.13. Each mark on the number line is 0.1. Hope this helps!

Answer:

-1.13

Step-by-step explanation:

the gape between two points is 0.01 so the required answer is -1.13

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