A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the number of tests on the y-axis and the time in weeks on the x-axis?

Answers

Answer 1

Answer:

The slope is equal to [tex]\frac{3}{4}[/tex].

Step-by-step explanation:

In order to solve this question we need to know that.......

[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]

Where "m" = slope," [tex]y_{2}-y_{1}[/tex]" = first difference, and [tex]x_{2} - x_{1}[/tex] is the difference of the x values of the two points that we chose to fid the slope.

(If you don't understand something I would recommend to read about first differences and how we can use the first differences to find the slope).

Now we need to find two points on the line. One of them is already given to us and it is (36,27). In order to find the second one we will have to find a point with "x" and "y" values that have the same relation ship to each other as the point (36,27). We can do that by doing the following

[tex]\frac{x/a}{y/a} =\frac{x_{1} }{y_{1} }[/tex]

In this case a any common factor of "x" and "y" except 1. So now we can do the following...

[tex]\frac{36}{27} = \frac{36/9}{27/9} = \frac{4}{3}[/tex]

Now we know that another point on this line is (4,3).

Now all we have to imagine (36,27) as ([tex]x_{2} ,y_{2}[/tex]), and imagine (4,3) as [tex](x_{1} , y_{1})[/tex]. so now......

[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} } = \frac{27 - 3}{36-4} = \frac{24}{32} = \frac{3}{4}[/tex]


Related Questions

Fill in the missing fractions in the blanks. (You don't need to simplify.) 50.891 = 50 + 8/10 + Source 51-5 USM2 THAN YO UNA CA bo Anu​

Answers

Answer:

Sorry no idea

Step-by-step explanation:

2. Consider the problem: Tyler painted square yards of wall area with 3 gallons of paint. How many gallons of paint does it take to paint each square yard of wall? a. Write multiplication and division equations to represent the situation, Draw a diagram to represent the answer of the question.​

Answers

Answer:

I will try my best. Don't really know if this is correct.

Step-by-step explanation:

Well, first, you will have to get a mixed number, 9/2. And then divide 9/2 to 3/1. ( 9/2 divided by 3/1 = ? ) Then, multiply the equation. ( ? x 3 = 9/2 )

Last, draw a diagram to represent the answer.

9/2 = ? ? ? (Pretend that is a diagram) ? = 3/2 gallon

You will have to simplify the answer to get 3/2 gallon.

Look, I tried my best trying to explain everything, this question is very confusing and hard to do.

PLEASE HELP ME WITH THIS!!

Answers

the first 2 are a function and the last 2 are not

12. Translate this phrase into an algebraic expression.
Two more than the product of 24 and Janelle's score

Answers

Answer: 24s + 2 I think this is the answer! Hope this helps!

Question 1 (15 points)!!!!
Which of the following statements about narratives is true? (15 points)!!!!
a
A narrative describes events in sequence.
b
A narrative has characters and setting but no conflict.
c
A narrative is a fictional account of something that has happened.
d
A narrative must be presented in written form.

Answers

Answer:

A. a narrative describes events in sequence.

A narrative must be in order, like a proper story. It also must be written in past tense.

can someone help? (look at image)

Answers

Answer:

n (-3,0) m (-4,4) l (0,3)

Step-by-step explanation:

I have bad eyesight but I think this is correct

What is the logarithmic form of 12² = 144?

Answers

Answer:

log_(12(144))=2

Step-by-step explanation:

Answer:

[tex]log_{12}[/tex] 144 = 2

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

12² = 144 ← in index form

with b = 12, n = 2, x = 144, then

[tex]log_{12}[/tex] 144 = 2 ← in logarithmic form

If a two story home has a ground floor of 25*30 feet and second floor of 20*30 feet, what is the total square footage of the home?

Answers

Answer: 1350 ft^2

Step-by-step explanation:

The total square footage of the home will be equal to the sum of the areas of each floor.

We know that the ground floor is 25 ft by 30ft,  which can be thought of as a rectangle with a length of 25ft and a width of 30 ft.

We know that te area of a rectangle of width W and length L is:

A = L*W

then the area of the ground floor is:

A = 25ft*30ft = 750 ft^2

And the second floor is 20ft by 30ft, then using the same approach as above, the area of the second floor will be:

A = 20ft*30ft = 600ft^2

Then the total square footage of the home is:

SF = 750ft^2 + 600ft^2 = 1350 ft^2

The total square footage of the home will be 1350 feet².

Based on the information given, the area of the first floor will be:

= 25 × 30

= 750 feet²

The area of the second floor will be;

= 20 × 30

= 600 feet ²

The total square footage will be:

= 750 + 600

= 1350 feet ²

Read related link on:

https://brainly.com/question/20360160

If Delta AGM sim Delta KXD , find the value of x.

Answers

Here’s all my work! Sorry my handwriting isn’t good

For ΔKXD, x = 21

Similar triangles:

"The triangles that have corresponding sides in proportion to each other and corresponding angles are equal."

For given question,

ΔAGM is similar to ΔKXD

This means,

[tex]\frac{AG}{KX} = \frac{GM}{XD} = \frac{AM}{KD}[/tex]

Consider,

⇒ [tex]\frac{AG}{KX} = \frac{GM}{XD}[/tex]

⇒ [tex]\frac{32}{x+3} = \frac{36}{x+6}[/tex]

⇒ [tex]32\times (x+6) = 36\times (x+3)[/tex]

⇒ [tex]32x+192=36x+108[/tex]

⇒ [tex]4x = 84[/tex]

x = 21

Learn more about similar triangles here:

https://brainly.com/question/14965331

#SPJ2

Convert: 24 feet=how many yards

Answers

Answer:

8 yards

Step-by-step explanation:

there are 3 feet in one yard so 24 divided by 3 is 8

What types of investments are monitored with candlestick charts?
Candlestick charts graph the high, low, open, and
prices of

Answers

Answer:

Candlestick charts graph the high, low, open, and close prices of stocks

Answer:

close

stocks

.

Step-by-step explanation:

can someone explain how you would get the answer to

Answers

Answer:

987654

Step-by-step explanation:

a precision CD player costs $600 but was sold for $525 due to damage

. the percentage loss on the CD player​

Answers

Answer:

12.5% (I think)

Step-by-step explanation:

75 is the amount of money lost, and 75 is 12.5 percent of 600

Answer:

12.5 percent decrease

Step-by-step explanation:

Use the formula

new-old/old

525 is new price being sold

600 is old price being sold

525-600

-75/600

-1/8

-1/8= -0.125

0.125= 12.5 percent

so 12.5 percent decrease.

Write this percentage as a fraction in its simplest form.
24%

Answers

Answer:

6/25

Step-by-step explanation:

24/100=12/50=6/25

Answer:

[tex]\huge\boxed{\sf \frac{6}{25} }[/tex]

Step-by-step explanation:

[tex]\sf = 24 \%\\\\\% \ means \ out \ of \ 100\\\\= \frac{24}{100}\\\\= \frac{12}{50} \\\\= \frac{6}{25} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

find x and y multiple choice​

Answers

Answer:

x=30

y=4

Step-by-step explanation:

Since there is an equilateral triangle, those angles =60°, and all sides to that triangle are equal.

You can determine y by looking at the congruent lines on the second triangle. In this triangle, we see that two sides, one of which is a side to the equilateral triangle, are equal to 20. Because one of these sides is a side to the equilateral, we know that all sides of the equilateral triangle are equal to 20, so using simple algebra you can determine that y=4.

To solve for x is a little more difficult. In the equilateral triangle, we know that all angles =60°, therefore we can solve for two angles to use to solve for x. We can solve for the obtuse angle by subtracting 60 from 180=120. then we can solve for the next angle that is next to the equilateral triangle because these two make a right angle so 90-60=30. Now you add the angles you just solved for, subtract that sum from 180, and you get x.

120+30=150

180-150=30

x=30

40 miners need to ride the elevator to the bottom of the mine. The elevator can hold 9 miners at a time. How many miners will be in the elevator on its last trip?

Answers

Answer:

the answer is 4

Step-by-step explanation:

please help me
2(y+2) y=3

Answers

Answer:

10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

2(y + 2)

y = 3

Step 2: Evaluate

Substitute in y:                    2(3 + 2)(Parenthesis) Add:              2(5)Multiply:                               10

PLEASE PLEASE HELP!!

Solve the inequality.
2(4+2x)>5x+5
O x<-2
O x>-2
O x<3
O x>3

Answers

Answer:

x < 3

Step-by-step explanation:

2(4+2x) > 5x +5

8 + 4x > 5x +5

4x - 5x > 5 - 8

-x > -3

x < 3

The second angle of a triangle is 3 times as large as the first angle. The third angle is 30 degrees more than the first angle. Find the measure of the angles.

Answers

Answer:

30-60-90 degrees

Step-by-step explanation:

1st angle:  x

2nd angle:  3x

3rd angle:  x+30

Sum of all angles must be 180 degrees

x + 3x + x + 30 = 180

5x + 30 = 180

5x = 150

x = 30

HELPPPP PLEASE!!

Find the discounted price of a $90 calculator that is on sale for 25% off.

Answers listed:
$22.50
$67.50
$89.75
$65.00

Answers

The answer is 67.50 because you multiply 90$ by .25 than you got 22.50 subtract 22.50 by 90

Answer:

67.5

Step-by-step explanation:

ok easy it cost $90

90/100=0.9

0.9*25=22.5

90-22.5

67.5

help me please i need to do this fast

Answers

hey im too lazy to do it but u should do the pythagorean theorem to find out

Simplify
6y(2x +9) – 3(x — 4xy)

Answers

Answer: 3 • (8yx + 18y - x)

Step-by-step-explain : STEP

1

:

STEP

2

:

Pulling out like terms

2.1 Pull out like factors :

x - 4yx = -x • (4y - 1)

Equation at the end of step

2

:

(6y • (2x + 9)) - -3x • (4y - 1)

STEP

3

:

Equation at the end of step 3

6y • (2x + 9) - -3x • (4y - 1)

STEP

4

:

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

24yx + 54y - 3x = 3 • (8yx + 18y - x)

Final result :

3 • (8yx + 18y - x)

what’s the value for x

Answers

Answer:

53

Step-by-step explanation:

move 82 down next to (2x-8)

if 82+2x-8 is 180, x is 53

Answer:

2x-8=98

2x=106

×=53 is the right answer

Use the drawing tools to form the correct answers on the graph. Draw the lines representing the vertical and horizontal asymptotes on the graph of this function. 212 + 71 – 4 12 + 51 + 4 = Drawing Tools Click on a tool to begin drawing. Delete Undo Reset Select Line 10 Click on the Graph and drag the Line in the desired direction. al 6 4 2 -10 -8 -6 -4 -2 2 4 6 8 10 -2 4 -6 20 Edmentum. All rights reserved.​

Answers

Answer:

vertical asymptote X=-1

horizontal asymptote Y=2

Step-by-step explanation:

The vertical and the horizontal asymptotes of the function [tex]f(x) = \frac{2x^2 +7x - 4}{x^2 + 5x + 4}[/tex] are x = -1, and y = 2

The function is given as:

[tex]f(x) = \frac{2x^2 +7x - 4}{x^2 + 5x + 4}[/tex]

To start with, we plot the graph of f(x)

The asymptotes are the lines that pass through the points that appears to be on the curve because of their nearness to the curve, but they are actually not on the curve of the function.

From the graph (see attachment), we can see that:

The vertical and the horizontal asymptotes are x = -1, and y = 2

Read more about asymptotes at:

https://brainly.com/question/8493280

I Need Hellp! With this!!

Answers

Answer:

1/14

Step-by-step explanation:

slope = difference of y over difference of x

= (-3-(-4)) /(8 -(-6)) = 1/14

y = -0.25x – 4
When x=0, y = -4
When y=0, x = -16

PLEASEEE HELPM ME I WILL GIVE BRAINLIEST

what is a simile for abortion

Answers

Answer:

abortion is like killing a baby as a mother

Step-by-step explanation:

simile uses "like" or "as"

Factor the expression:
280z - 25y - 30
PLS ASAP

Answers

Answer:

[tex]5(56z - 5y - 6)[/tex]

Step-by-step explanation:

Forst step is finding a common factor, you can do this easily by looking at the ones digit. All 3 values end in 0 or 5, so a factor is definately 5.

We now divide all values by 5.

[tex]280z \div 5 = 56z \\ (- 25y) \div 5 = ( - 5y) \\ ( - 30) \div 5 = ( - 6)[/tex]

Once you get a prime number after factoring, that is the GCF, Greatest Common Factor. We can make an equation like what is below to show oir factored answer.

[tex]5(56z - 5y - 6)[/tex]

Please help if possible due really soon❤️❤️❤️ thank you so much

Answers

Answer:

i do believe they are right, i got b too.

Step-by-step explanation:

Helppppp i don’t know what to do

Answers

Answer:

the last one

Step-by-step explanation:

The plane traveled 50 miles per hour. What is the distance the plane traveled in 4 hours? plz help asap due in 2 minutes

Answers

Answer:

200 miles in 4 hours hope this helps and u get it in on time

the answer is 200 miles in 4 hours
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