Frank earns $8 per hour. Madison
earns $7.50 per hour. Frank started working after Madison had already earned $300. If these rates continue, will Frank’s earnings ever equal Madison’s earnings? If so, when?

Answers

Answer 1

Answer:

yes, and at 600 hours they are equal and at 601 Frank passes her.

Step-by-step explanation:

since frank  has a higher salery/slope and Madison has a lower salary slope meaning even though Madison started out with more Frank will eventually pass her.

First, you gotta find the difference slope 8-7.5 so .5 then find the difference in starting points 300 and zero. then multiply the difference as a  positive(make it reversed 1/2 to 2/1 ) so 2 times 300 equals 600.

Answer 2

Answer:

They will and it will be by the 600th hour. The equation is frank makes 8$ dollars per hour for n hours. That (at some point) is the same as what maddi makes, 7.50 per hour for n hours plus 300... sooo

8n=7.50n+300

Sub in n for 600 and it should cancel everything out and work :)

if you want me to re-explain let me know.


Related Questions

Henry left for the lake in the morning and it was 78°F.
When he arrived at the lake the temperature had increased
7° and by lunch it increased another 5°. What is the
temperature when Henry was eating lunch?

Answers

Answer:

The temputure is -64

Step-by-step explanation:

Can someone help me cuz i need help

Answers

Answer:

f

klllllllllk

Step-by-step explanation:

C and E are true
———————————

Justin and his children went into a grocery store and he bought $18 worth of bananas and mangos. Each banana costs $0.60 and each mango costs $1.50. He bought 2 more bananas than mangos. Graphically solve a system of equations to determine the number of bananas, x, and the number of mangos, y, that Justin bought.

Write an answer in y=mx+b form, please.
Two equations.

Answers

Answer:

x=10 and y= 8.

Step-by-step explanation:

Given that the cost of 1 banana = $0.60

Cost of 1 mango = $1.50.

Total cost= $ 18  

Here, x be the number of bananas and y be the numbers of mangos,

As the number of bananas is 2 more than the number of mangos,

So, x=y+2

[tex]\Rightarrow y=x-2 \cdots(i)[/tex]

Cost of x bananas [tex]=\$ 0.60 \times x[/tex]

Cost of y mangos [tex]=\$ 1.50 \times y[/tex]

Total cost = 0.6x+1.5y

[tex]\Rightarrow 18 = 0.6x+1.5y\\\\\Rightarrow 1.5y=18-0.6x\\\\\Rightarrow y= 12 - 0.4 x \cdots(ii).[/tex]

Solving both the equations (i) as well as (ii), graphically as shown in the figure by plotting both the graphs.

Both the graphs intersect at the point (10,8) as shown in the graph.

So, the solution of both the equations is, (x,y)=(10,8). i.e

The number of bananas = x= 10 and

the number of mangos = y = 8.

One Saturday, a butcher sells a total of b pounds of beef at $6.00 per pound. She also sells some pork for $7.00. On Sunday she sells b pounds of beef again, but at the sale price of $4.00 per pound. She also sells some pork for $9.00. Given that she made the same revenue of d dollars each day, which of the following systems of equations can be used to find out how many pounds of beef, b, she sold each day?

Answers

The equations that can be used to find out how many pounds of beef, b, she sold each day will be:

d = 6b + 7.

d = 4b + 9

How to illustrate the equation?

From the information given, the butcher sells a total of b pounds of beef at $6.00 per pound and she also sells some pork for $7.00.

Therefore, the equation will be:

d = (6 × b) + 7.

d = 6b + 7.

d = (4 × b) + 9

d = 4b + 9

Learn more about equations on:

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3*10^4+2.5*10^0
ghfuigffhh

Answers

Answer:

30002.5

Step-by-step explanation:

A cab company charges $3.10 flat rate in addition to $0.85 per mile. Rex has no more than $15 to spend on a ride. Write an inequality that represents Rex's situation. How many miles can Rex travel without exceeding his limit? Round off your answer to nearest tenth.

Answers

Answer:

Step-by-step explanation:

Let the total number of miles Rex can travel be x;

If a cab company charges $0.85 per mile, then x miles will cost $0.85x

If the flat rate rate charge is $3.10, the total price for x miles will be;

0.85x + 3.10

Since Rex has no more than $15 to spend on a ride, the inequality to represent the equation will be;

0.85x + 3.10 ≤ 15 (less than or equal to means that the total value cannot exceed $15)

Next is to solve for x

Given

0.85x + 3.10 ≤ 15

subtract 3.10 from both sides

0.85x + 3.10-3.10 ≤ 15-3.10

0.85x ≤ 15-3.10

0.85x ≤ 11.90

x ≤  11.90/0.85

x ≤ 14

This means that Rex can travel 14 miles without exceeding his limit

Answer:

[tex]3.10 + 0.85m \leq 15[/tex]

[tex]m \leq 14.0[/tex]

Step-by-step explanation:

Given

[tex]Flat\ Rate = \$3.10[/tex]

[tex]Addition = \$0.85[/tex] (per mile)

[tex]Maximum\ Amount = \$15[/tex]

Required

Determine the inequality that represents the scenario and solve

Let the number of miles be represented by m.

The company's charges can be calculated using:

[tex]Flat\ Rate + Additional\ Charges * m[/tex]

Substitute values

[tex]\$3.10 + \$0.85 * m[/tex]

Rex can't exceed $15 implies that the company's charges can't exceed Rex's budget.

This is expressed as:

[tex]\$3.10 + \$0.85 * m \leq \$15[/tex]

[tex]\$3.10 + \$0.85m \leq \$15[/tex]

[tex]3.10 + 0.85m \leq 15[/tex] ---- The inequality

Solving for m: Collect Like Terms

[tex]0.85m \leq 15 - 3.10[/tex]

[tex]0.85m \leq 11.9[/tex]

Divide through by 0.85

[tex]m \leq 11.9/0.85[/tex]

[tex]m \leq 14.0[/tex] ---- The solution

simplify (-sqrt of 125)^3

Answers

Answer:

5

Step-by-step explanation:

[tex]\sqrt[3]{125} =5*5*5=5[/tex]

What is the image point of (-3,3) after the transformation R180° 0 T-3, -4?

Answers

Answer:

Image point(6, 1)

Step-by-step explanation:

Given point → (-3, 3)

Transformation to be done → [tex]R_{180}0T_{-3,-4}[/tex]

Transformations to be done,

Step - (1). Translation of the given by 3 units left and 4 units down.

Step - (2). Followed by the rotation counterclockwise 180° about the origin.

Rule for step (1),

(x, y) → (x - 3, y - 4)

By this rule,

(-3, 3) → [(-3 - 3), (3 - 4)]

         → (-6, -1)

Rule for step -2,

(x, y) → (-x, -y)

(-6, -1) → (6, 1)

Therefore, following these two steps coordinates of the image point → (6, 1)  

An isosceles triangle has base angles that each measure 42 degrees.Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees

Answers

Answer:

z+42+42=180

Step-by-step explanation:

Since it is an isosceles triangle, the two base angles are the same and remember all the angles add to  180. So use this equation:

z+42+42=180

If you need to find z, it is 96.

Check: 96+42+42=180

IL GIVE BRAINLIST!! PLEASE HELP! THERES 2 ANSWERS JUST SAYING!!​

Answers

Answer: Option 2

Pls mark me brainilest!

Step-by-step explanation:

what does angle DFE= in degrees?
Type only number for answer​

Answers

answer: 40°

explanation: angle AFB and DFE are vertical angles meaning they share the same measurements

Brad had 10 crickets in his pet lizard’s cage. After one day, Brad’s lizard has eaten 20% of the crickets he had put in the cage. By the end of the next day, the lizard had eaten 25% of the remaining crickets. how many crickets were left in the cage at the end of the second day?

Answers

7.5 crickets left (I think)

20%=2

25%(of 2)=0.5

2+.5=2.5

10-2.5=7.5

Hope this helps:)

Hellllllllllllppppppppppp

Answers

Answer:

The answer is 5 1/2! So what you are looking for is 1/2.

Step-by-step explanation:

Answer:

11/2

Step-by-step explanation:

Choose the correct answer choice.

Answers

Answer:

The T shirt choice

Step-by-step explanation:

Both values increase at the same rate therefore is proportional.

Solving the system using equations ( 15 points)
3x+2y=17
2x+5y=8

Answers

Answer:

{x,y}={  11 /69   ,−  11 /10  }

Step-by-step explanation:

A newspaper is rolled into a cylindrical shape of approximate diameter 4cm It is wrapped for posting with a strip of paper which goes about 2 1/2 times round the newspaper Use the value 3 for π to find the approximate length of the wrapping paper. And 2. Calculate the total surface area of a solid cone of slant hight 10cm and base diameter 10 cm.Use the value 3.14 for π

Answers

Answer:

30 cm

[tex]863.5\ \text{cm}^2[/tex]

Step-by-step explanation:

d = Diameter of cylinder = 4 cm

n = Number of times the strip of paper is turned = [tex]2\dfrac{1}{2}=2.5[/tex]

Diameter of the cylinder will be approximately equal to the diameter of the paper wound. Length of one turn will be circumference of the paper

Circumference of the paper

[tex]c=\pi d\\\Rightarrow c=3\times 4\\\Rightarrow c=12\ \text{cm}[/tex]

Total length of the paper will be the number of turns multiplied by the length of one turn

[tex]l=nc\\\Rightarrow l=2.5\times 12\\\Rightarrow l=30\ \text{cm}[/tex]

Length of the strip of paper is 30 cm.

2.

l = Slant height = 10 cm

d = Base diameter = 10 cm

r = Radius of base = [tex]r=\dfrac{d}{2}=\dfrac{10}{2}=5\ \text{cm}[/tex]

Total surface area of cone is given by

[tex]S=\pi r^2+\pi rl\\\Rightarrow S=\pi r(r+rl)\\\Rightarrow S=3.14\times 5(5+5\times10)\\\Rightarrow S=863.5\ \text{cm}^2[/tex]

The total surface area of cone is [tex]863.5\ \text{cm}^2[/tex].

QUICK!!!!!

Analyze the conditional statement below and complete the instructions that follow.

If m is the midpoint of AB, then M divides AB into two congruent segments.

Identify the inverse of the converse of the conditional statement.

O If M is not the midpoint of AB, then M does not divide AB into two congruent segments.

If M is the midpoint of AB, then M divides AB into two congruent segments.

If M divides AB into two congruent segments, then M is the midpoint of AB.

Olf M does not divide AB into two congruent segments, then M is not the midpoint of AB.

Answers

Answer:

D. If M does not divide AB into two congruent segments, then M is not the midpoint of AB.

Step-by-step explanation:

A conditional statement is one that include 'if'. Thus it is also referred to as an 'if' statement.

Given a conditional statement:

If M is the midpoint of AB, then M divides AB into two congruent segments.

The converse of the given statement is done by interchanging the two parts of it. So that we have:

If M divides AB into two congruent segments, then M is the midpoint of AB.

Then, the inverse can be obtained by getting the negative of both parts of the converse. Therefore, the inverse is:

If M does not divide AB into two congruent segments, then M is not the midpoint of AB.

The correct option is D.

A bag contains 95 blue marbles, 7 red marbles, and 5 green marbles. One marble is randomly
chosen. Select all true statements about the marble chosen.
A It is certain that the marble was blue.
B. It is unlikely that the marble chosen was green.
C. It is unlikely that the marble chosen was orange.
D. It is likely that the marble chosen was blue.
E It is not possible that the marble chosen was green.
E It is neither likely nor unlikely that the marble chosen was red.

Answers

Answer:

B,D, and the last E

Step-by-step explanation:

B,d,f is that good for you

Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4

Answers

Answer:

Domain: (-∞,∞)

Range:(-∞,∞)

Step-by-step explanation:

The sketch of the given function has been attached and the domain and range both will be (-∞,∞ ).

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A function that fluctuates linearly with respect to the changing variable is referred to as being linear.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

Given the function,

ƒ(x) = -5x + 4

Range of the function ;

Since the value of the function is defined for all real x and the value will be unique so

Range =  (-∞,∞ ).

The domain of the function ;

Since it is defined for all real x so,

Domain =  (-∞,∞ )

For more about the linear function

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YALL BETTER ANSWER THIS PLSSSSSSSSSSS

Answers

Answer:

= 3/16(0.1875)

Step-by-step explanation:

explanation in the image.

Answer:

Step-by-step explanation:

Take out lignes

-1/4x-3/7

= -7/12

if g(x)=x²-2 and p(x)=2x+3, find (g·p)(x)

Answers

2X^3+3x^2-4x-6

You do x^2-2 times 2x+3 and use FOIL method to get answer

44.8 is what percent of 160?

Answers

Answer:

28% .................

Answer:

28%

Step-by-step explanation:

100%/x%=160/44.8

(100/x)*x=(160/44.8)*x       - we multiply both sides of the equation by x

100=3.5714285714286*x       - we divide both sides of the equation by (3.5714285714286) to get x

100/3.5714285714286=x

28=x

x=28

now we have:

44.8 is 28% of 160

The figures below are similar. Find the length of the missing side.
90
10
7
Х
36
4
14
126
X=

Answers

Answer:

63

Step-by-step explanation:

multiply the side by 9

Same factory has supplies expenses of $1135.78 a day, in addition to the wages above and makes $60,128.72 in one week, what is the factory's total profit or loss in one week?

Answers

Given :

Factory has supplies expenses of $1135.78 a day.

Company earns $60,128.72 in one week.

To Find :

The factory's total profit or loss in one week.

Solution :

Expenses of factory of a week :

E =$( 1135.78 × 7 ) = $7950.46 .

Now, profit is given by :

P = $60,128.72 - $7950.46

P = $52178.26

Therefore, total profit of factory in one week is $52178.26 .

Hence, this is the required solution.

what expression is equal to(5+x-2)×2

Answers

If you simply the equation it would be 6+2x

I need help please ​

Answers

(-5,1) is the correct answer or option c:)

2. The table shows distance, y, that Mario runs in x minutes.

Mario’s Running Speed

Time,

(min) Distance,

(mi)

7 | 1

21 | 3

35 | 5









(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.

(b) What is the rate of change for this linear relationship? Show your work.

(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.

Answer:

Answers

Assuming the left is minutes and the right is distance, Mario runs 1 mile in 7 minutes
(a) y=x/7
(b) the rate of change is 7
(c) if he ran for 70 minutes then his distance is 10 miles.
*for (c) just plug in the number given. Replace it with x and divide it by 7.*

Can somebody plz answer all of them correct! (Only if u done this before)
thanks! WILL MARK BRAINLIEST
(Don’t judge me..I didn’t study so I need to do corrections)

Answers

Answer:

23) 53/100

24)2/5

25)3/5

26)11/50

27)17/50

28)19/1000

29)4/5

30)1/250

31)9/25

32)1 3/10

33)11 1/2

34) 7 3/40

Step-by-step explanation: Hope this helps!

Solve the triangle, find m∠A and m∠C. Round angles to the nearest degree.
m∠A= __∘

m∠C= __∘

Answers

Answer:

[tex]m\angle A=63^\circ\\m\angle C=26^\circ[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The cosine ratio is defined as:

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

Note the angle A of the figure has 17 as the adjacent leg and 38 as the hypotenuse, so we can directly apply the formula:

[tex]\displaystyle \cos A=\frac{17}{38}[/tex]

[tex]\cos A=0.4474[/tex]

Using a scientific calculator, we get the inverse cosine:

[tex]A=\arccos(0.4474)[/tex]

[tex]A\approx 63^\circ[/tex]

Since A+B+C=180°, we can solve for C:

C = 180° - A - B

C = 180° - 63° - 90°

C = 26°

Thus:

[tex]m\angle A=63^\circ\\m\angle C=26^\circ[/tex]

In the given right triangle ABC, m∠A ≈ 26.44° and m∠C ≈ 63.56°.

To solve the right triangle ABC, we can use trigonometric ratios. In a right triangle, the three main trigonometric ratios are:

1. Sine (sin): [tex]\(\sin(\theta) = \frac{{\text{opposite side}}}{{\text{hypotenuse}}}\)[/tex]

2. Cosine (cos): [tex]\(\cos(\theta) = \frac{{\text{adjacent side}}}{{\text{hypotenuse}}}\)[/tex]

3. Tangent (tan): [tex]\(\tan(\theta) = \frac{{\text{opposite side}}}{{\text{adjacent side}}}\)[/tex]

Given:

AC = 38

AB = 17

To find the angles m∠A and m∠C, we can use the sine and cosine ratios, respectively.

1. For m∠A:

[tex]\(\sin(m\angle A) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\\\\\(m\angle A= \sin^{-1}\left(\frac{{17}}{{38}}\right)\)[/tex]

2. For m∠C:

[tex]\(\cos(m\angle C) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\\\\\(m\angle C = \cos^{-1}\left(\frac{{17}}{{38}}\right)\)[/tex]

Let's calculate the angles:

[tex]1. \(m\angle A \approx \sin^{-1}\left(\frac{{17}}{{38}}\right) \approx 26.44^\circ\)\\\\2. \(m\angle C \approx \cos^{-1}\left(\frac{{17}}{{38}}\right) \approx 63.56^\circ\)[/tex]

Therefore, m∠A ≈ 26.44° and m∠C ≈ 63.56° (rounded to the nearest degree).

To know more about right triangle, refer here:

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I don’t understand.

Answers

Answer:

y = -2/3x

Step-by-step explanation:

A perpendicular line is the negative reverse of the slope of the other line. I'm not sure about the options you have there but hopefully this helps you get your answer.

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