Devante has a lunch account in the school cafeteria His starting balance at the beginning of the month is $35.50. The first wook, Davante bought 3 lunches and his account balance was $28.00. The second week. Devante

bought 5 lunches and his account balance was 515 50

In a model that relates the balance of his lunch account as a function of the number of lunches he buys, what does the rate of change represent?


A: the number of lunches he purchases


B: the starting balance of his lunch account


C: the amount of money in his lunch account


D: the amount of money he pays for each lunch

Answer:

Newton realized that the reason the planets orbit the Sun is related to why objects fall to Earth when we drop them. The Sun's gravity pulls on the planets, just as Earth's gravity pulls down anything that is not held up by some other force and keeps you and me on the ground.

Step-by-step explanation:

Answer:

10 and 15, 20 and 25, and 35 and 45.

Step-by-step explanation:

Answer:

Area of triangle is 1 inches²

Step-by-step explanation:

We are given:

Base of triangle = 16 inches

Height of triangle = [tex]\frac{1}{8} \:[/tex] inches

We need to find:

Area of triangle

The formula used to find Area of triangle is:

[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]

where b is base and h is height.

Putting values and finding area:

[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]

So,  Area of triangle is 1 inches²

9514 1404 393

Answer:

  (2, 3)

Step-by-step explanation:

Compare the given equation ...

  y = (x -2)^2 +3

to the vertex form ...

  y = (x -h)^2 +k

You can see that h=2 and k=3.

The vertex of the parabola is (h, k) = (2, 3).

Answer:

n = -1.825

Step-by-step explanation:

8n + 16.2 = 1.6 (Given)

8n = -14.6 (Subtract 16.2 on both sides)

n = -1.825 (Divide 8 on both sides)

Step-by-step explanation:

Move all terms not containing  

n

to the right side of the equation.

Tap for fewer steps...

Subtract  

16.2

from both sides of the equation.

8

n

=

1.6

−

16.2

Subtract  

16.2

from  

1.6

.

8

n

=

−

14.6

Divide each term by  

8

and simplify.

Tap for fewer steps...

Divide each term in  

8

n

=

−

14.6

by  

8

.

8

n

8

=

−

14.6

8

Cancel the common factor of  

8

.

Tap for more steps...

n

=

−

14.6

8

Divide  

−

14.6

by  

8

.

n

=

−

1.825

Answer:

a)  ( r+ s) (x)  = 3 x + 9

b)   ( r . s ) (x) =  2 x² + 13 x +20

c) ( r- s) (x)  = -1 -x

Step-by-step explanation:

Step(i):-

Given that r(x) = x +4 and s(x) =  2x + 5

a)   ( r+ s) (x)  = r(x) + s(x)

                    = x +4 + 2x +5

                   = 3 x + 9

    ( r+ s) (x)  = 3 x + 9

b)

    ( r . s ) (x)  = r(x) . s(x)

                    = (x+4) . ( 2x +5)

                   = x ( 2x +5) + 4( 2x +5)

                  = 2 x² + 5 x + 8 x +20

                 = 2 x² + 13 x +20

( r . s ) (x) =  2 x² + 13 x +20

c)

 ( r- s) (x)  = r(x) - s(x)

               =  (x+4 - ( 2x +5)

              = x +4 - 2x -5

            = -x -1

( r- s) (x)  = -1 -x

Answer:

5/6 is the probability

Step-by-step explanation:

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24 and rolling a 6-sided die you can get 1, 2, 3, 4, 5, 6 so 5 is the only thing you can roll that isn't a factor of 24 so

Answer:

15([tex]\frac{458}{15}[/tex]+b) or

15(b+[tex]\frac{458}{15}[/tex])

Step-by-step explanation:

First we can subtract the 4.

458 + 15b

Now we need to find the GCF, but they do not share any kinds of factors together. This might look ugly, but it is what it is. We factor out 15 to get b by itself.

15([tex]\frac{458}{15}[/tex]+b) or

15(b+[tex]\frac{458}{15}[/tex])

Answer: x = 7.25

Explanation:

Answer:

The quantities are not proportional.

Step-by-step explanation:

The values, x and y, do not begin or pass through the origin, (0,0). This means they are not proportional.

The graph represents two quantities are not proportional to each other.

A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.

Given:

As, A relationship is proportionate if its graph is a line or ray that passes through the origin.

and, It is not proportionate if the line or ray does not go through the origin. Additionally, if anything is not linear, it is not proportional.

Here the graph also does not pass through the origin.

Hence, the graph is not proportional.

Learn more about Proportional here:

https://brainly.com/question/7096655

#SPJ2

Answer:

7 1/2

Step-by-step explanation:

convert mixed numbers to fractions to get 1/2 and 15/1

then, multiply the two to get 15/2

then simplify for the answer 7 1/2

answer 7.5

Step-by-step explanation:

convert the fraction to a decimal by dividing the numerator by the denominator

Answer:

0.0202

0.022

0.02

0.002

Step-by-step explanation: I am 5 million iq brainlist pls

Answer:

m>1

Step-by-step explanation:

inverse operations... add 3 to both sides so you get -2+3=1!!

Answer:

First one is sin 27 and cos 63

second one is sin 60

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1 inch=400 miles

x =200 miles

200 is half of 400, so the measurement should be halved as well.

Answer:

equal

Step-by-step explanation:

When the two lines are parallel Corresponding Angles are equal

Answer:

4/35

Step-by-step explanation:

1. Find 7 1/2

15/2

2. Flip 15/2

2/15

3. Multiply

12/105

4. Simplify

4/35

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Answer:

  [tex]\dfrac{2}{5}\times\left(\dfrac{5}{8}\times 16\right)[/tex]

Step-by-step explanation:

In this context, "of" means "times". A product of two numbers is computed by taking one "times" the other. In short, the operations being described by the words are two uses of "times". That shows up in only one answer choice.

Answer:

8 ft 8 in

Step-by-step explanation:

104/12 = 8.666...

This shows that there are 8 total feet because there are 12 inches in a foot

Then, multiply 8*12 to get 96 in order to get the remainder of the inches left that do not make up one whole foot.

Then subtract 96 from 104 (104-96) to get the remainder which is 8 inches.

Answer:

y - 0 = -⅔(x - 3)

Step-by-step explanation:

Given a point, (a, b) and slope, m, equation of the line in point-slope form can be written.

Thus:

Substitute (a b) = (3, 0), and m = -⅔ into y - b = m(x - a).

y - 0 = -⅔(x - 3) (the equation in point-slope form)

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

3500 ÷ 70 = 50

3500 ÷ 50 = 70

Answer:

6p=$13.50

Step-by-step explanation:

Answer:

The midpoint of the line segment   D = ( 4, 6)  

Step-by-step explanation:

Explanation:-

Given points are A(8,7) and B(0,5)

The midpoint of line segment overline AB

Let 'D' be the midpoint of AB

[tex]D= (\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]

[tex]D = (\frac{8+0}{2} , \frac{7+5}{2} )[/tex]

[tex]D = (\frac{8}{2} , \frac{12}{2} )[/tex]

The midpoint of the line segment

 D = ( 4, 6)  

Answer:

x<2/3b+-8/3

Step-by-step explanation:

Let's solve for x.

−3x+2b>8

Step 1: Add -2b to both sides.

2b−3x+−2b>8+−2b

−3x>−2b+8

Step 2: Divide both sides by -3.

-3x/-3>-2b+8/-3

x<2/3b+-8/3

Answer is : x<2/3b+-8/3

Answer:

x=-6

Step-by-step explanation:

-8(x+3)=24 first, divide both sides to get x+3=-3

then move the constant to the right and change its sign to get x=-3-3 and calculate to get your answer.

hope this helps!

Answer:

pluto

Step-by-step explanation:

Answer:

Step-by-step explanation:

Speed=Distance/Time

1.5/78=0.01923076923

Answer rounded=0.02/0.019

Answer:

0.206 and then it repeats 6 over and over again

Step-by-step explanation:

hope it helped :)

Answer:

Step-by-step explanation:

the answer is:

0.20666666666