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

PLEASE HELP THANKS!!!

Answers

Answer:

235

Step-by-step explanation:

area of one square=

180

area of other square=

11 times 5 =55

55+180=235

please mark be as brainliest

Answer:

[tex]a=20cm\\b=14cm[/tex]

[tex]a_{1} =11cm\\a_{2}=a-a_{1} =20cm-11cm=9cm\\[/tex]

[tex]b_{1} =9cm\\b_{2}=b-b_{1}=14cm-9cm=5cm[/tex]

[tex]S=S_{1} +S_{2} =154cm^{2}+81cm^{2}=235cm^{2}\\S_{1}=a_{1} *b=11cm*14cm=154cm^{2} \\S_{2} =a_{2} *b_{1} =9cm*9cm=81cm^{2}[/tex]

[tex]S=235cm^{2}[/tex]

Makayla has 5 yards of ribbon to use for a craft project. She cuts the ribbon into pieces that are yard long.
How many pieces of ribbon does Makayla have?

Answers

Answer:

20

Step-by-step explanation:

If she has 5 yards and she cuts them into 1/4 each. You're basically multiplying 5 by 4, and that's 20.

6th grade math help me plzzz

Answers

Answer:

4. 1/5

Step-by-step explanation:

Your answer is 1/2. You cross multiply

Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 centimeters. A larger pentagon has a bottom side length of 7 centimeters and left side length of 15 centimeters. Not drawn to scale What is the value of x, rounded to the nearest tenth? 2.1 centimeters 3.3 centimeters 7.0 centimeters 15.0 centimeters

Answers

Answer:

[tex]x = 3.3cm[/tex]

Step-by-step explanation:

Given

Shape: Pentagon

Small

[tex]Bottom = x[/tex]

[tex]Left = 7cm[/tex]

Big

[tex]Bottom = 7cm[/tex]

[tex]Left = 15cm[/tex]

Required

Find x

From the question, we understand that the big pentagon is a dilation of the small pentagon.

What this means is that; both pentagons will have the same equivalent ratio.

The equivalent ratio, in this case is calculated using

[tex]Ratio = \frac{Bottom}{Left}[/tex]

For the small pentagon:

[tex]Ratio = \frac{x}{7cm}[/tex]

For the big pentagon:

[tex]Ratio = \frac{7cm}{15cm}[/tex]

Equate both ratios:

[tex]\frac{x}{7cm} = \frac{7cm}{15cm}[/tex]

[tex]\frac{x}{7cm} = \frac{7}{15}[/tex]

Cross multiply

[tex]15 * x = 7cm * 7[/tex]

[tex]15 * x = 49cm[/tex]

Make x the subject

[tex]x = \frac{49cm}{15}[/tex]

[tex]x = 3.267cm[/tex]

[tex]x = 3.3cm[/tex] --- approximated

Answer:

The answer should be 3.3

Step-by-step explanation:

I'm taking the test right now.

(12 divided by 3) 2 – (18 divided by 3 2)) < (4 divided by 2)

Answers

Answer:

[tex](12 \div 3)(2 - (18 \div 32) \\ = 4(2 - \frac{19}{16} ) \\ = 4( \frac{23}{16} ) \\ = \frac{23}{4} \\ since \: (4 \div 2) = 2 \\ \frac{23}{4} is \: not \: < 2 \: but \: its \: > 2[/tex]

If 6% of a number is 1.32 what is the number?

Answers

6% of 22 is 1.32

i hope this helps (:

Answer:

To find this number, you must know the conversion rate between percentages and decimals. If 100% = 1, then 6% will equal 0.06. The oppisite of multiplication is division, so instead of multiplying the number my 0.06, you have to divide it which gives you 22. And if you multiply that number by 0.06, you get 1.32.

Hope that helped!

Can someone please help I don’t understand!!!

Answers

I think is D, the third one

Giving 20 Pts Pls Help ASAP!

Answers

Answer: base is 12

Step-by-step explanation:

A bag has 7 red marbles 8 blue marbles 5 purple marbles . Racheal draws a marble from the bag without looking

Answers

Answer:

Rachel most likely drew a red or blue marble.

8/20 chance of drawing a blue marble.

7/20 chance of drawing a red marble.

5/20 chance if drawing a purple marble.

Answer:

40

Step-by-step explanation:

Solve the inequality. Graph the solution.

5(9 + 4) > 15

Answers

Answer:

barely any pounts, √

Step-by-step explanation:

Marley collects golf balls. His neighbor Tucker collects 3 more than twice as many golf balls as Marley.

Answers

Answer:

6

Step-by-step explanation:

Solving Two Step Linear Equations. SHOW YOUR WORK.
1. 9x - 7 = -7
2. -15 = -4m + 5
3. -2x + 4 = -12
4. x/8 + 4 = 3
5. x/7 + 5 = 12
6. 5 = x/-19 - 2

Answers

Answer:

1. x=0

2. m=5

3. x=8

4. x=-8

5. x=49

6. x=-133

Step-by-step explanation:

1. 9x=0

2. -20=-4m, 20=4m

3. 2x=16

4. x/8=-1, x=-1x8

5. x/7=7

6. After simplifying: −1/19(x)=7

Hope this helped, I just simplified all the steps for the step by step explanation. Have a great day and stay safe, happy, and healthy!

PLEASE HELP AS SOON AS POSSIBLE

Answers

87 + 105 + 135 + 92 + x = 540
419 + x = 540
121 = x

Is this right???

I give Brainliest !

Answers

Answer:

It is right

Step-by-step explanation:

good job whatever your name is! you are very smart

Mark has 10 pens. Kate has 5 times as many pens as Mark. Which equation below answers how many pens Kate has?

Answers

Answer:

5m = k or 5(10) = k

Step-by-step explanation:

Let m represent Mark

Let k represent Kate

So, it is 5 times the amount that Mark has, so that is 5m = k

or just simply 5(10) = k

The pens that Kate has is equal to 50

What is an equation in math?

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given here, let  mark has x= 10  pens and Kate has 5 times as many pens as Mark then kate would have 5x pens

therefore5x = 5×10

                    = 50 pens

Hence,  The pens that Kate has is equal to 50

Learn more about equations here:

https://brainly.com/question/21835898

#SPJ5

The length of a rectangle is 5 less than 3 times the width. What is the length?

Perimeter = 46 inches
Write an inequality or equation, then solve.

Answers

Answer:

Let the width of the Rectangle be x inches

Then, length is (3x-5) inches

Perimeter of the Rectangle= 46 inches (given)

According to the above problem,

Equation :---- Perimeter=2(length+breadth)

2{(3x-5)+x}=46

2(4x-5)=46

(4x-5)=46/2=23

4x=(23+5)=28

x=28/4

x=7

So, length of the Rectangle is {(3×7)-5}=16 inches

and width is= 7 inches

Answer:

So, length of the Rectangle is {(3×7)-5}=16 inches

and width is= 7 inches

Step-by-step explanation:

Simplify

Topic : Indices​

Answers

Answer:

[tex] {m}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt{ {m}^{3} } \times {m}^{ \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ { {m}^{ \frac{3}{2} } } \times {m}^{ \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{3}{2} + \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{3}{2} + \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{9 + 4}{2 \times 3} }}{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{13}{6} }}{ {m}^{ \frac{1}{6} } } \\ \\ = {m}^{ \frac{13}{6} - \frac{1}{6} } \\ \\ = {m}^{ \frac{12}{6} } \\ \\ = {m}^{2} [/tex]

At a sale, dresses were sold for $22 each. This price was 55% of a dress original price. How much did a dress originally cost?

Answers

Answer:

40

Step-by-step explanation:

Divide: 55/22 = 0.4

Multiply: 0.4 * 100 = 40.

Which of the following are adjacent angles?

Answers

Answer:

c

Step-by-step explana i think its right

What is greater than 4.026

Answers

Answer/Step-by-step explanation:

The number 5 is greater than 4.026

Hope this helps!

Answer:

4.027

Step-by-step explanation:

Just add a number to the problem

*ASAP! SHOW WORK, 20 PTS*
You walk 2 miles from your house to the park and 4.5 miles from the park to the lake. Then you return home along a straight path from the lake. How many miles do you walk from the lake back to your house? What is the total distance you walk?

Answers

Answer:

Lake to House= ~4.92.  Total Length= 11.42 miles

Step-by-step explanation: Lets assume that it is a right triangle .

Your house being the 90 degree angle and the path from the lake to your house being the hypotenuse.

Then to find the lenght you did Pythagorean theorem:

a^2 + b^2 = c^2

a=2mi

b=4.5

(2 * 2) + (4.5 * 4.5) = c^2

24.25= c^2

[tex]\sqrt{24.25}[/tex] = [tex]\sqrt{c^{2} }[/tex]

c = ~4.92

~ means around

Add them up

Solve the inequality 16

Answers

Answer:

I thought I knew how to do this but ig I forgot ill be back in a little with the anwser.

Step-by-step explanation:

The wildflowers began blooming by my house at the beginning of March. The first week there were 72 blooms. After week two, there were 144 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 7 weeks?

Answers

Answer:

answer: 504 blooms <3

Step-by-step explanation:

if you add 72 and 72 then you get 144 so that means 72 blooms each week so if you multiply 72 x 7 you get 504!

Genesis has 2/3 of her birthday cake left and she wants to share it between 3 of her friends. How much of the original cake will each friend receive? Kaycee says 6/9 Tari says 2/9 Janiyah says 3/9 Who is correct?

Answers

Answer:

[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.

Step-by-step explanation:

You know that Genesis has [tex]\frac{2}{3}[/tex] of her birthday cake left and she wants to share it between 3 of her friends.  

To determine the amount of original cake that each friend will receive is determined by dividing the [tex]\frac{2}{3}[/tex] of the cake into 3 pieces, which is the number of friends.

[tex]\frac{2}{3}[/tex] ÷3

To divide fractions by natural numbers, the whole is considered as a fraction (that is, over the denominator 1). Then you invert this the second fraction and multiply the fractions. For this, you multiply the numerators of the fractions on one side and multiply the denominators of the fractions on the other. If necessary, you simplify the resulting fraction.

In summary, to divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction.

In this case:

[tex]\frac{2}{3}[/tex] ÷3= [tex]\frac{2}{3} *\frac{1}{3}=\frac{2*1}{3*3} =\frac{2}{9}[/tex]

[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.

Absolute value is basically:


A. A number's distance from 0 on a number line


B. The greatest number on a number line

Answers

Answer:

A because absolute value doesn't change the actual value of the number, just makes it positive no matter what, but it's still the same distance from 0, just in the opposite direction.

Step-by-step explanation:

Answer:

A : a number distance form 0n the number line

Step-by-step explanation:

ex: if you want to find the absolute value of -4 you would look at the distance from zero so it would be 4 from zero so the absolute of -4 is 4

Jefferson Elementary has a rectangular playground. A scale drawing of the playground is shown below.
10.5 cm
4.2 cm
The shortest side of the playground has an actual length of 33.6 meters.
What is the actual area, in square meters, of the playground?

Answers

I'm sorry if I get this wrong, but there isn't enough evidence.

If we think about the shorter side being 4.2 cm, then just divide 33.6 by 4.2 to give it a ratio. 33.6 / 4.2 is 8. The ratio of the scale drawing to the actual playground would be 1 : 8.

The longer side is 10.5, so just multiply that by 8. You'd get 84 meters. The only part left is getting the area.

Multiply 84 x 33.6 and you'd get 2822.4

The answer would be 2,822.4 squared.

Need this very badly ​

Answers

Answer:

B) 800 cm^2

Step-by-step explanation:

A=2(wl+hl+hw)

800 = 2(10x15 + 10x10 + 10x15), which is B

Answer:

800 cm^2

Step-by-step explanation:

The diameter of a circle is 2 centimeters. What is the circle's circumference?

Answers

Answer:

i wont give you the answer, but i can help you find it.

Step-by-step explanation:

the equation to find the answer is C= 2 x 3.14

Andreas is running a race 13.1 long he already ran 1.1 miles What equation and solution correctly restore send how many miles m Andre's has lag to run

Answers

Answer:

okokokokokokokokokolkokokok

If 9x - 11= 12, what is the value of 6x ?

Answers

Answer:

15.333...

Step-by-step explanation:

9x-11=12

9x-11(+11)=12(+11)

9x=23

23/9x= 2.555...

2.555(6) = 15.333...

The value of x would be 15.3. Because you put 12 under 11 and 9 and you multiply
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