Nicholas has some cans at home to donate to the soup kitchen, but he decides to start a can drive at his school to see if other students will help. The table represents the number of cans donated, y, which is dependent on the number of days cans are collected, x.

A 2-column table with 3 rows. Column 1 is labeled x with entries 4, 7, 10. Column 2 is labeled y with entries 955, 1660, 2365.

Find the linear equation that represents the scenario.

Answers

Answer 1

Answer:

y = 235x + 15

Step-by-step explanation:

Equation of a Line

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m = slope  

b  = y-intercept.

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

We are given 3 points and we must provide the equation of the line that passes through them all in slope-intercept form.

Selecting the points (4,955) and (7,1660) we can calculate the slope of the line by using the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\displaystyle m=\frac{1660-955}{7-4}=\frac{705}{3}=235[/tex]

Now we use the point-slope equation with the first point (4,955):

y - 955 = 235 ( x - 4 )

Operating:

y - 955 = 235x - 940

y = 235x - 940 + 955

y = 235x + 15

The third point (10,2365) should pass through this line. To verify, substitute:

2365 = 235(10) + 15 = 2350 + 15= 2365

Since the identity is true, the equation is correct:

Answer:

y = 235x + 15

Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

Find the measure of each angle

Answers

Answer:

1 = 44° (Opposite angles>

2 = 77° (By Angle sum property of a triangle)

3 = 82° ('' '' ' '' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ''')

I need help solving this practice question ​

Answers

[tex]3x-9=45\\3x=45+9\\3x=54\\x=18[/tex]

Fun fact

Bananas are curved because they grow towards the sun ☀️

Answer: the answer is 18

Step-by-step explanation:

9p - p + 8q - 40 + 12q

Answers

Answer: 8p+20q-40

Step-by-step explanation:

Answer:

8p+20q-40

Step-by-step explanation:

[tex]9p - p + 8q - 40 + 12q[/tex]

Collect like terms and simplify

[tex]9p - p + 8q + 12q - 40 \\ 8p + 20q - 40[/tex]

what is 5.3635 rounded to the nearest thousandth

Answers

Answer:

5.364

Step-by-step explanation:

5.3635 is the given number, and because the number next to the thousandths is a five, the number in the thousandths place can be rounded to 4.

helpppp!! right answer only pleaseee

Answers

Answer:

linear equation

Step-by-step explanation:

it's the only one that matches the description :)

The answer to this is linear equations hope this helps you

Which table represents the function y = 4x - 3?

Answers

Answer:

B

Step-by-step explanation:

Answer:

Second table (B)

Input: 0, 1, 2

Output: -3, 1, 5

Explanation:

Given the 2D linear equation y = 4x - 3,

y must represent the output because it is the dependent variable, so x must represent the input because it is a independent variable.

Make a 4-by-4 logic grid on your own paper. Use it to help solve the logic
puzzle and answer the question.
Kim, Maia, Nia, and Shelley play left wing, center, right wing, and defense on
the hockey team, though not necessarily in that order.
When Kim gets the puck, she usually passes it to the left wing or the right
wing.
Nia and Shelley are too small to play defense.
Maia and Shelley both shoot from the left, so the coach wont let them play
right wing.
The defense player and Kim are best friends.
Who plays left wing?
O A. Shelley
O B. Kim
OC. Nia
OD. Maia

Answers

Answer:

Shelly

Step-by-step explanation:

Helppppp pleaseeeeee

Answers

Answer:

B) y=3 (x+3) -2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer these 2 Questions for 10 points

1) Find the slope of the line that passes through these two points:
(13, 1) and (1, 10)

2) Find the slope of the line that passes through these two points:

(14,-14) and (10,-14)




Answers

29 x 13= 3720 x 1= 3720 divide that by 10= 372 remove 3 so (7,2) is the slope roach

4(46 + 3) + 2b = 3 (6 - 11)

Answers

Answer:

[tex]4(46 + 3) + 2b = 3(6 - 11) \\ 184 + 12 + 2b = 18 - 33 \\ 196 + 2b = - 15 \\ 2b = - 15 - 196 \\ \frac{2b}{2} = \frac{ - 211}{2} \\ b = - 105.5[/tex]

PLS PLS HELP ME I WILL GIVE BRAINLIST AND SO MANY POINTS PLS HELP ME

Answers

Answer:

Both are circle equations. One is for area, one is for circumference.

Step-by-step explanation:

Both are circle equations. One is for area, one is for circumference.


Please help I’ll give brainlist

Answers

Answer: v = 12

Step-by-step explanation:

the answer is v=12 hope it helps

pls help will give brainliest

Answers

17 with a remainder of 25

what is 8 x 23
+ 6
3 + 2

Answers

Answer:

8x23 +6+3+2 = 195

Step-by-step explanation:

used PEMDAS <3 hope this helps

195 would be your answer i’m pretty sure

Please help and also explain how you got the answer if you can

Answers

The answer is A and D

In answer choice A the fractions are 3/6 and 4/6. In the original equation in fractions are 1/2 and 2/3. The equivalent fraction to 1/2 is 3/6 because 1x3=3 and 2x3=6, therefore 3/6 is equivalent. The equivalent fraction to 2/3 is 4/6 because 2x2=4 and 3x3=6, therefore 4/6 is equivalent.


In answer choice D the fractions are 9/18 and 12/18. In the original equation in fractions are 1/2 and 2/3. The equivalent fraction to 1/2 is 9/18 because 1x9=9 and 2x9=18, therefore 9/18 is equivalent. The equivalent fraction to 2/3 is 12/18 because 2x6=12 and 3x6=18, therefore 12/18 is equivalent.

Hope this helps :D

can Someone help me with this math problem

Answers

Sorry just need points

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31 points

Answers

Answer:

Thanks for free points have a nice day :)

What do we call a number that when we squared the result is negative?

Answers

Answer:

imaginary numbera

Step-by-step explanation:

Result of every natural number is positive and for imaginary number sqaure result positive .

??????????????????????????????

Answers

Priya

Add not divide

what does 3w =30 mean a. 6 b.9 c.10 d.12

Answers

Answer:

w = 10

Step-by-step explanation:

3w = 30

Divide each side by 3

3w/3 = 30/3

w = 10

Answer: Correct answer is c.10

Step-by-step explanation:

3w = 30  (It means you divide)

/3      /3    (You would divide both sides by 3)

w=10         (Then you're left with your answer w=10)

Find the product of 5/6 and 42

Answers

Answer: Its 35 hope this helped

Solve the equation:
−8n−8=−72

Select one:

n=−20

n=−2

n=8

n=17

Answers

Answer: n=8

Step-by-step explanation:

N=8, I showed the work your welcome

If the measures of two angles of a triangle are 102° and 27°, what is the measure of the third angle?
The measure of the third angle isº

Answers

Step-by-step explanation:

therefore the third angle is 51 degrees

3(-1 - x) < -20 - 3x
on a number line

Answers

Answer:

[tex] - 3 - 3x \: < \: - 20 - 3 \\ - 3x < - 20 - 3 + 3 \\ - 3x < - 20 \\ x > - 20 \div 3[/tex]

Which of the following tables represents a function?

Answers

Answer:

The third table

Step-by-step explanation:

It's the third table because each input does not repeat, so it means all of the inputs are unique

Repeating inputs (x) make it not a function

As their is no mention of test assuming it's not a test question

Solution

Now

As per definition of function

Every domain has an unique rangef(x)=y

Thing we have to see here is x values must not repeated more than once

In table 3

It follows the defination

Table 3 is a function


2 sides of a triangle have measures of 5 inches and 11 inches which measure could be the length of the third side

Answers

Answer:

the third side must be greater than 6 but less than 16

Step-by-step explanation:

use triangle inequality theorem - 3 scenarios (one of which is discounted because it produces a negative and a side of a triangle cannot be negative)

5 + 11 > 3rd side (n)    n < 16

5 + n > 11       n > 6

11 + n > 5;   n > -6   discounted

What is the value of x. 4x-10 3x+2 5x-22

Answers

Answer:

X=35

Step-by-step explanation:

6X =45 SO ANSWER TO THE QUESTION IS 35

Which number is equivalent to?

Answers

So, we have 2^3/3^3
= 2^3/3^3 = 2 times 2 times 2/3 times 3 times 3
= 8/27
So, in conclusion, the final answer is 8/27 so, you should go with D 100%!

A
,
B
and
C
are points on a circle with
A
C
as a diameter.
A
B
C
is a right-angled triangle.

Work out the total area of the regions shaded in the diagram.
Give your answer correct to 1 decimal place.

Answers

Answer:

Area of the shaded portion = 54.5 cm²

Step-by-step explanation:

Solve first for the area of the circle:

[tex]area \: of \: circle = \pi {r}^{2} \\ = \pi( \frac{d}{2} )^{2} \\ = \pi( \frac{10}{2} )^{2} \\ = 25\pi \: or \: 78.5398 {cm}^{2} [/tex]

Then, compute for the area of the triangle:

[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} ( {8})(6) \\ = 24 {cm}^{2} [/tex]

Since we only needed the shaded portion, we have to subtract the area of the triangle from the area of the circle

[tex]25\pi {cm}^{2} - 24 {cm}^{2} = 54.5398 {cm}^{2} [/tex]

In AGHI, h = 300 inches, ZG=30° and ZH=29º. Find the length of i, to
the nearest inch.

Answers

The answer is Stan twice ZG=30
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