David keeps records of his monthly earnings. Last month he worked 140 hours and earned $3700. This month he worked 120 hours and earned $3200.

David Keeps Records Of His Monthly Earnings. Last Month He Worked 140 Hours And Earned $3700. This Month

Answers

Answer 1

Answer:

Step-by-step explanation:

Part A:

Rate of pay for David = [tex]\frac{\text{Change in earnings}}{\text{Change in hours worked}}[/tex]

                                            = [tex]\frac{3700-3200}{140-120}[/tex]

                                            = $25

Part B:

If he worked for number of hours = x

Then the function representing the earning will be,

f(x) = 25x + b

For an ordered pair (120, 3200),

3200 = 25(120) + b

b = 3200 - 3000

b = 200

Therefore, function will be,

f(x) = 25x + 200

Part C:

"Slope = 25" means the rate of change in earnings per hour is $25.

Similarly, y-intercept 'b = 200' will represent the fixed amount earned by David in addition to the per hour earnings.


Related Questions

Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?

Multiple choice question.

A)
24.5 miles


B)
50 miles


C)
59.5 miles


D)
200 miles

Answers

C 50 miles is your answer!
35/0.7
=
50 miles

Answer:

It is 50 miles to Republic City so they must have started in the western earth kingdom

Step-by-step explanation:

only nerds will get this but the answer is B

If I add a -5 to both sides of an inequality, then the inequality symbol will change direction. True or False

Answers

Answer:

true

Step-by-step explanation:


what is the number that is halfway between 2.9 and 3.6

Answers

Answer:

3.25

Step-by-step explanation:

[tex] \frac{2.9 + 3.6}{2} \\ \\ = \frac{6.5}{2} \\ \\ = 3.25[/tex]

A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in mg/dL, were measured before and after treatment for each individual, with the following results: Subject Before After 1 283 215 2 299 206 3 274 185 4 284 212 5 255 178 6 275 212 7 293 192 8 277 196 Can you conclude that the mean cholesterol level after treatment is less than the mean before treatment

Answers

It can be concluded that the mean cholesterol level after treatment is less than the mean before treatment.

Let the hypothesis be:

H₀: The difference in the mean is less than or equal to 0.

H₁: The difference in the mean is greater than 0.

Here, the sample size, n = 8.

Assume, α = 0.05.

First, find the mean of the differences.

[tex]\bar{d}=\frac{(283-215)+(299-206)+...+(277-196)}{8}[/tex]

  [tex]=79.375[/tex]

Now, the standard deviation of the difference is:

[tex]s_d=\sqrt{\frac{(68-79.375)^2+...+(81-79.375)^2}{8-1}}[/tex]

   [tex]=13.3838[/tex]

The t value is:

[tex]t=\frac{\bar{d}}{\frac{s_d}{\sqrt{n}}}[/tex]

 [tex]=16.7745[/tex]

Now, the degree of freedom is 8 - 1 = 7.

The p-value corresponding to this is 0.0005, which is less than the value of 0.05.

So, reject H₀.

Hence, it can be concluded that the mean cholesterol level after treatment is less than the mean before treatment.

Learn more about t-value here :

https://brainly.com/question/31475463

#SPJ12

There are 150 trees in the park. Elm trees represent 40% of the trees in the park.


How many elm trees are in the park?

Answers

Answer:

375 trees, hope this help!

There are 60 Elm trees in the part

We are trying to find the part, which is the number of Elm trees given the percent of the Elm trees and the total amount of trees.

Part = Percent × Whole

Let x be the part

x = percent × whole

x = 0.40 × 150        (with changing the percent by dividing it by 100)

x = 60

First five terms?

a(1) = 7, a(n) = a(n - 1) - 3 for n ≥ 2

Answers

Answer:  7, 4, 1, -2, -5

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

Explanation:

The notation a(1) = 7 means that the first term is 7

The second term would be a(2) and so on.

To get a(2), we plug in n = 2 to find that...

a(n) = a(n-1) - 3

a(2) = a(2-1) - 3

a(2) = a(1) - 3

a(2) = 7 - 3

a(2) = 4

The second term is 4. We find this by subtracting 3 from the first term.

To get the third term, we repeat the same set of steps but now use n = 3

a(n) = a(n-1) - 3

a(3) = a(3-1) - 3

a(3) = a(2) - 3

a(3) = 4 - 3

a(3) = 1

This process is repeated as much as you want to generate as many terms as you want.

In short, you subtract 3 from each term to get the next term. This implies that we have an arithmetic sequence with starting term 7 and common difference -3.

So that's how we end up with the first five terms: 7, 4, 1, -2, -5

Find the least common
multiple of 12 and 48.
144
48
32
96

Help

Answers

Answer:

Step-by-step explanation:

48

Answer: 48

12×4=48
48x1=48
These are the smallest out of all of them

help me with this please

Answers

The answer is 18

You want to substitute in the values for everything so z = 6 y = 4 and x = 2

So when you substitute it into the equation you get 4(2) + 4^2 -6

When simplified your get 8+16-6

When solved equals 18

Answer:

18

Step-by-step explanation:

We're given an expression and information about the values of the variables in it. The problem says that  x = 2, y = 4, z = 6. Thus, to evaluate the expression, substitute those values for the matching variables within the expression and solve:

[tex]4x+y^2-z\\= 4(2)+(4)^2-(6)\\= 8 + 16 - 6 \\= 24 - 6\\= 18[/tex]

So, the answer is 18.

Determine whether S equals 3/5, S equals zero or S equals 1.75 are solutions of the inequality

Problem: S < 0.43

Answers

S= 3/5 is a solution because it is less than .43, s=1.75 isn’t a solution

Which triangle side lengths form a right triangle? Choose all that apply.
5,6,7
6, 8, 14
8,15, 17
10,12,15
15, 20, 25
16, 18, 20

Answers

Answer:

8.,15,17

Step-by-step explanation:

use pythagoras theorem formula

(Click the picture)
1/6 of 12
1/6 of 24
1/6 of 36
1/6 of 48
1/6 of 0

Answers

Hey, sorry about the guy that gave you a complete joke answer. I got you brother.

In order, the answers are 2, 4, 6, 8, and 0

SON 17-2 PRACTICE
11. Make use of structure. Point R lies along the directed line segment
from Y(-1,-4) to X(7,6) and partitions the segment into the ratio 1 to 4,
What is the slope of YX, and how does this slope compare to the slope
of YR?

Answers

Answer: they are the same!

Think about this, if R lies on segment YX then the slope of YX and YR is the same, it doesn't matter where R is on the line (I hope I understood the question right if I didn't I'm sorry!)

mr.twain asked the students in his class to sea the figure below using a scaled factor of 3. then, he asked students to tell him one of the new side lengths of the figure. Some students responses are below
select all that answers mr.twain’s question correctly.

Answers

Answer:

We cannot see the questions on top

solve for x, will give brainliest

Answers

Answer:

123 degrees

Step-by-step explanation:

6) Which expression is equivalent to 512 in exponential form.

A
B
C
D

Look at the picture.

Answers

Answer:

C

Step-by-step explanation:

they need the answer in exponential form i.e should have an index or power

habitantes de dos pequenas comunidades harán una obra de drenaje que
beneficia a todos. El costo de los materiales necesarios asciende a 360,000.00
Se decidió que las aportaciones sean proporcionales al numero de habitantes de
da comunidad. En la comunidad A hay 120 habitantes; en la comunidad B 240
y en la comunidad C 360

¿Con cuánto debe cooperar cada comunidad?

¿Cuál es la aportación por persona en las tres comunidades?​

Answers

Answer:

La Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000. Cada Comunidad aportará $500 por persona.

Step-by-step explanation:

Dado que la obra de drenaje tiene un costo de materiales de $360,000, y que dicho costo será soportado por cada comunidad en proporción a sus habitantes, sabiendo que en la comunidad A hay 120 habitantes; en la comunidad B 240 y en la comunidad C 360, para determinar con cuánto dinero debe cooperar cada una se debe realizar el siguiente cálculo:

120 + 240 + 360 = 720

C = 1/2 x 360,000 = 180,000

B = 1/3 x 360,000 = 120,000

A = 1/6 x 360,000 = 60,000

Así, la Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000.

A su vez, la aportación por persona en las tres comunidades surge del siguiente cálculo:

360,000 / 720 = 500

Así, cada comunidad aportará $500 por persona.

Where can you find the hypotenuse of a right triangle

Answers

Answer:

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Step-by-step explanation:

Answer:

Opposite to the 90 degree angle.

Step-by-step explanation:

the hypotenuse is always the longest side with right triangles its always opposite of the right angle

Whats your zodiac sign?

Answers

Answer:

cancer the worst

Step-by-step explanation:

Pisces ✨✨✨✨✨✨✨✨✨✨ lol

Determine which would make this solution true s < 0.43
A.1.75
B.0
C.0.43
D.0.42
HELP DUE TODAY!!!!!!!!

Answers

Answer:

B and D it ez

Step-by-step explanation:

help its really urgent

Answers

Answer:

QR and WX are parallel lines. XV and ST or congruent lines. ST, QR, VR, XS, are lines perpendicular to RS.

Step-by-step explanation:

Its self explanatory  (just kidding dont know how to explain)

If you answer this question correctly I will answer 1 of your questions
Evaluate the expression 10−5a+(18−b), where a=2 and b=11.


Which THREE expressions will have the same value?


28÷(a×2)


20+b−(4×a)


49−43+(a÷a)


30−25+(b−9)


50÷a−(b+20)

Answers

We can start by solving for 10-5a+(18-b). By plugging in a and b, we get

10 - 10 + (18 - 11)= 7

28 ÷ (a × 2) = 28/4 = 7

20 + b − (4 × a) = 31 - 8 = 23

49 − 43 + (a ÷ a) = 49 - 43 + 1 = 7

30 − 25 + (b − 9) = 5 + 2 = 7

50 ÷ a − (b + 20) = 25 - 31 = -6

So, 28 ÷ (a × 2), 49 − 43 + (a ÷ a), and 30 − 25 + (b − 9) will all have the same answer as 10−5a+(18−b)

The original price of a stove is $570.00. If it has a 25% discount, find the selling price. please

Answers

Answer:

$547.20

Step-by-step explanation:

Answer:

EFLKWFFELWKMFEWLMWEFL

Step-by-step explanation:

Phil needs to run at least 30 miles this week for his training. If he has already run 18 miles this week, then how many miles should he run on each of the remaining 3 days?

Answers

Answer:

4 miles

Step-by-step explanation:

30-18=12

12÷3=4

hope this helped :)

Please helpppppppp:(((((((((((((((((((

Answers

Answer:

The area is 243 square feet

Step-by-step explanation:

The perimeter of a rectangle is the sum of all four sides.

Two of the sides represent the length and two represent the width.

Given what we know and using l to represent the length and w to represent the width.

l + l + w + w = 72ft

or more concisely

2l + 2w = 72ft

The four sides all add together to equal 72ft

We also know that

l = 3w

This says the length is equal to 3 times the width

we have two unknowns, l and w, and now we have two related equations so we can solve for l and w.

The first thing we will do is replace l with 3w in the first equation because the second equation tells us that l is the same as 3w. Making the replacement gives us

2(3w) + 2w = 72ft

2 times 3w is 6w

6w + 2w = 72ft

6w plus 2w is 8w

8w = 72ft

Now if we divide both sides by 8 we maintain the equality since we are making the same change to both sides

8w / 8 = 72ft / 8

8w divided by 8 is 1w or just w and 72ft divided by 8 is 9ft

w = 9ft

So now we know the width is 9ft

if we now replace w with 9 in one of our original equations we can solve for l, let's use l = 3w

l = 3(9ft)

3 times 9 is 27 so

l = 27ft

So the length is 27ft which is 3 times the width of 9ft

The area of a rectangle is length times width or l x w, so

area = 27ft x 9ft

area = 243sqft

ft means feet and sqft means square feet

2 5/8 divided by 3/7

Answers

Answer:

Answer is 6.125

Step-by-step explanation:

I hope it's helpful!

What is the weight of the y, in grams?


y 1

1 1

1 1

1 1

1

1



answers=

-1/3

-1

-4

-3

Answers

Answer:

-1

Step-by-step explanation:

Can someone please help me with this

Answers

Answer:

7

Step-by-step explanation:

Multiply -8 and -3 and that would be 24 and you put that over 1 and then you have to have a common denominator which would be 4 and multiply that by 24 and you get 96 and then you would do 96 - 68 and you get 28 you don't subtract the denominator you just leave it and then it would be 28 over 4 and then you divide that to get 7.

please help please i really need help

Answers

Answer:

78

Step-by-step explanation:

help me with mine pls your smart

what is the volume and surface area?

Answers

Answer:

I think its 10 mi

Step-by-step explanation:

Please let me know if I'm wrong!

I think it’s 10mi to

Which expression is equivalent to 20 + 5 X 9

Answers

POINTS STEP BY STEP
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