Devante has a lunch account in the school cafeteria. His starting balance at the beginning of the month in $35.50. The first week, Devante bought 3 lunches and his account balance was $28.00. The second week, Devante bought 5 lunches and his account balance was $15.50.

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

Answers

Answer 1

Answer:

C) The amount of money in his lunch account

Step-by-step explanation:


Related Questions

The two-way table shows the number of books of each type in Eliza’s home.

A 5-column table has 3 rows. The first column has entries hardcover, paperback, total. The second column is labeled Fiction with entries 28, 4, 32. The third column is labeled biographies with entries 2, 1, 3. The fourth column is labeled Reference with entries 10, 15, 25. The fifth column is labeled Total with entries 40, 20, 60.

What is the probability that a randomly selected reference book is hardcover?

0.25
0.4
0.6
0.75

Answers

The answer is 0.4 hope it helps!

The probability that a randomly selected reference book is hardcover is 0.4.

The two-way table depicts the distribution of books in Eliza's home by type (hardcover, paperback, biographies, fiction, and reference), as well as the number of books in each category (32 fiction books, 3 biographies, and 25 reference books).

There are a total of 25 reference books, of which 10 are hardcover.

So the probability that a randomly selected reference book is hardcover is:

10/25 = 0.4

Therefore, the probability is: 0.4.

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I dont know how to dis um can yalls help me yalls are so nice for helping me thx

Answers

Answer:

5 gallons

Step-by-step explanation:

5 gallons np bro good luck

please help with right answers​

Answers

The answer is 25.

4 green balloons : 5 purple balloons
20 green balloons : 25 purple balloons.

In order to get to 20 from 4 u need to multiply by 5. Do that to each side and get 25

Answer:

25

Step-by-step explanation:

the ratio is 4:5

20/4=5

so multiply 5 by 5 and you will get 25

on the number line jump to where it shows the very end where 20 is and at the bottom it is 25

hope that helps

What is the magnitude of the vector shown?
5
13
radical 5
radical 13

Answers

Answer:

D on edge

Step-by-step explanation:

radical 13

Which fractions are equivalent to 1/8+5/8? Check all that apply.

Answers

The equivalent fractions are 3/4 & 12/16 hope this helps!!

Answer:

3/4 and 12/16

Step-by-step explanation:

[tex]\frac{1}{8} +\frac{5}{8} =\frac{1+5}{8} =\frac{6}{8} =\frac{3}{4} \\\\\frac{12}{16} =\frac{3}{4}[/tex]

PLEASE HELP ME WITH THIS. 5 POINTS

Answers

Answer:

I think b is not proportional

is x/3 a polynomial​

Answers

Answer:

Step-by-step explanation:

Poly means many.

This is only 1 term. It is a monomial.

If Arron's boat travels 9 mph and the river runs 4 miles mph in still water.how long will it take to travel 18 miles upstream

Answers

Answer:  It will take Aaron's boat 3³/₅ hours to travel 18 miles upstream.

That is 3.6 hours or  3 hours and 36 minutes.

Step-by-step explanation:

Traveling upstream, the boat's speed will be reduced by the speed of the river current.  

9 - 4 = 5mph

18mi/5mph =  3.6 hours  0r  3³/₅ hours

Solve for x:
8x – 3 = 5 (2x + 1)
A. x= -4
B. x= -2
C. x=1
D. = 9

Answers

Answer:

x=-4

Step-by-step explanation:

Answer: A

Step-by-step explanation: Simplify 5(2x+1) into 10x+5. bring it to the other side; -2x-8=0. -2x=8 divide 8 by -2 to get x alone. x=-4

volcano Puu Puai in Hawaii was formed in 1959 when a massive “lava fountain” erupted. The lava shot from the ground with an initial velocity of 350 feet per second.
a. For how long was the lava in the air until it returned to the ground?
b. What was the maximum height of the lava?
c. After how many seconds did the maximum height occur?

Answers

Answer:

a)Tt = 21,41 s

b) y(max) = 1873 ft

c)  t = 10,70 s

Step-by-step explanation:

We assume that this is a case of vertical shooting then:

a) Vf  = V₀  -  g*t

Vf = 0         -g*t = -V₀

t  =  V₀ /g         t  =  350 ft/s / 32,7 ft/s²

t  =  10,70 s     time for lava to reach y maximum

a) Then  Tt = 2*10,7     Tt = 21,41 s

Lava was in the air for  Tt = 21,41 s

b) y = y₀ + v₀*t - (1/2 )*g*t²

for y = ymax  we get:

y(max)  = 0 + 350*10,70 - 0,5* 32,7* ( 10,70)²

y(max)  =  3745  - 1872

y(max) = 1873 ft

c) t = 10,70 s

Use the linear equations to answer the question.
y=2/3x-3
y=-3/2x+2
Which statement about the lines is true?

Answers

Answer:

c. the lines are perpendicular.

Step-by-step explanation:

Use the quadratic formula to solve the zero(s) of the quadratic equation 3x^2-4x-6=0. Round to the nearest 10th.

Answers

Answer:

so Is because you do 3x2=6 so is

Step-by-step explanation:

3x2=6

x=(o,-6) ok

is c or d

-2/7x - 11 + 4/7x - 7

Answers

Answer:

2/7x - 18

Step-by-step explanation:

-2/7x - 11 + 4/7x - 7

rearrange the expression so it's easier to add, optional

-2/7x + 4/7x - 11 - 7

2/7x - 18

1.Which statement about two negative numbers is true? .

Answers

Answer:

To negative numbers makes a positive number.

(only in dividing and multiplying)

Step-by-step explanation:

Please mark me brainliest

Negative x negative is a positive

Which graph represents the function y=-(x-2)²+3?

Answers

Answer:

Graph D

Step-by-step explanation:

the bottom right graph represents the function  y=-(x-2)²+3. I put it in a graphing calculator soo

A biology student wants to determine if using a fertilizer would help promote the growth of new babies in spider plants. The student has access to 90 baby spider plants of three varieties: green, variegated, and curly. There are 30 plants of each variety. They all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light. The numbers 1–30 are written on slips of paper, placed in a hat, and mixed thoroughly. A plant is selected and a slip of paper is drawn. If the slip has the numbers 1–15, then the plant will receive fertilizer. If the slip has the numbers 16–30, the plant will not receive fertilizer. A green spider plant is selected and a slip of paper is drawn. This plant is placed in the treatment group indicated by the number, and the slip is not put back in the bag. The slips are mixed again, the next green spider plant is selected, and a slip is drawn. The plant is placed in the treatment group indicated by the number. This procedure is repeated until all 30 green spider plants are assigned to treatments. The numbered slips are placed back in the bag and this procedure is repeated for the remaining types of spider plants. After one year, the shoots will be counted for each plant.

Which of the following best describes the design for this experiment?

observational study
matched pairs design
randomized block design
completely randomized design

Answers

Answer:

Randomized block design

Step-by-step explanation:

From the question, we can see the following:

- There are 30 plants of each variety. This means that they are divided into variety subgroups which we will call blocks.

- Now, we are told each plant in each block all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light. This means that each plant in each block is assigned a treatment condition.

- The procedure is repeated by subjecting each plant one after the other in teach Block to different treatments and this will reduce variability.

Looking at all the statements above, it is clear that this is a randomized block design because a randomized block design is when the experimenter/researcher divides members/participants into subgroups called blocks in a manner that the variability within the blocks is less than the variability between the blocks. Thereafter, the participants within each block will now be randomly assigned to treatment conditions.

The best describe about the design for this experiment is random block design.

A randomized block design is an experimental design where the experimental units are in groups called blocks. The treatments are randomly allocated to the experimental units inside each block.

When all treatments appear at least once in each block, we have a completely randomized block design.

There are 30 plants of each variety. This means that they are divided into variety subgroups which we will call blocks.

Each plant in each block all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light.

This means that each plant in each block is assigned a treatment condition.

The procedure is repeated by subjecting each plant one after the other in teach Block to different treatments and this will reduce variability.

The statements above, it is clear that this is a randomized block design because a randomized block design is when the experimenter/researcher divides members/participants into subgroups called blocks.

In a manner that the variability within the blocks is less than the variability between the blocks. Thereafter, the participants within each block will now be randomly assigned to treatment conditions.

Hence, The best describe about the design for this experiment is random block design.

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Answer this please thanks

Answers

Answer:

D. 182.4

Step-by-step explanation:

0.48 x 380 = 182.4

182.4
NEVER multiply a percent! Change it into a decimal.
.48x380

I desperately need the answers to this, it’s about compound interests

Answers

Answer:

quarterly is n = 4semiannually is n = 2monthly is n = 12annually is n = 1

Step-by-step explanation:

n is the number of times the interest is compounded, so just figure out stuff like monthly and annually mean. (ex. since annually means once a year, n = 1)

What is this answer????

Answers

Answer:

im pretty sure its c

Step-by-step explanation:

The midpoint of \overline{\text{AB}}AB is M(-6, -4)M(−6,−4). If the coordinates of AA are (-4, -3)(−4,−3), what are the coordinates of BB?​

Answers

Answer:

The coordinates of B is (-8,-5).

Step-by-step explanation:

The midpoint of line AB is M. The coordinate of M is (-6,-4).

The coordinates of A is (-4,-3)

We need to find the mid point of B.

If M(x,y) is the midpoint of the coordinates (x₁,y₁) and (x₂,y₂). The mid point theorem is used as follows :

[tex]M(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

Let the mid point of B is (x₂,y₂). Put (x,y) = (-6,-4), (x₁,y₁) = (-4,-3).

[tex](-6,-4)=(\dfrac{-4+x_2}{2},\dfrac{-3+y_2}{2})\\\\\dfrac{-4+x_2}{2}=-6\ \text{and}\ \dfrac{-3+y_2}{2}=-4\\\\-4+x_2=-12\ \text{and}\ -3+y_2=-8\\\\x_2=-12+4\ \text{and}\ y_2=-8+3\\\\x_2=-8\ \text{and}\ y_2=-5[/tex]

So, the coordinates of B is (-8,-5).

The coordinates of B are (-8, -5).

Given that,

The midpoint of AB is M(-6, -4). If the coordinates of A is (4,-2),

We have to determine,

The coordinates of B.

According to the question,

The midpoint of line AB is M. The coordinate of M is (-6,-4).

And the coordinates of A is (-4,-3)

If M(x, y) is the midpoint of the coordinates (x₁, y₁) and (x₂, y₂). The midpoint theorem is used as follows :

[tex]M(x, y) = ( \dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]

Let the midpoint of B be (x₂, y₂).

M (x, y) = (-6,-4), and (x₁, y₁) = (-4,-3).

[tex]M(-6, -4) = ( \dfrac{-4+x_2}{2}, \dfrac{-3+y_2}{2})\\\\[/tex]

Solving the equation for the co-ordinate B.

[tex]\dfrac{-4+x_2}{2} = -6\\\\-4 + x_2 = -6 \times 2\\\\-4 + x_2 = -12\\\\x_2 = -12+4\\\\x_2 = -8[/tex]

And,

[tex]\dfrac{-3+y_2}{2} = -4\\\\-3 + y_2 = -4 \times 2\\\\-3 + y_2 = -8\\\\y_2 = -8 + 3\\\\y_2 = -5[/tex]

Hence, The required coordinates of B are (-8, -5).

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Mike is 5 years old and Randy is 8 years old. Select the proportional relationship that has the same ratio to that of Mike and Randy's age.

Answers

5:8
mike is 5:randy is 8
5:8 mike being 5 and Randy being 8


Solve the system:

x=49-5y
x=16-2y

Write down the solution.

Answers

49 - 5y = 16 - 2y
49 = 16 + 3y
33 = 3y, y = 11
x = 49 - 5(11)
x = 49 - 55, x = -6
Solution: x = -6, y = 11

40% of x is 35 Write an equation that shows the relationship of 40%, X, and 35.

Use your equation to find x. Show your reasoning

Answers

Answer:

87.5

Step-by-step explanation:

Why are whole numbers rational numbers? Use 15 as an example.

Answers

Answer:

Every whole number n can be written as a fraction of integers.

Step-by-step explanation:

Every whole number n can be written as a fraction of integers: x=x/1.

If we use 15 as an example, it would be 15 = 15/1. 15/1 is 15.

So whole numbers are rational

Whole numbers are rational numbers because all whole numbers can be expressed in the form a/b. Hence, 15 can be expressed as a rational fraction thus 15/1

When a number can be expressed in the form a/b ; such that the value of the denominator, b ≠ 0 ; then the number is said to be rational.

Whole numbers are positive integer values and as such, they are not decimals.

Every whole number can be expressed such that the denominator is 1 ; hence, they can be expressed in the form a/b.

15 as a whole number can be rewritten as 15/1. Hence, all whole numbers are rational.

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James has 165 centimeters of yarn left. How many inches does he have left?
(1 inch = 2.54 centimeters).

Answers

Answer:

64.96 inches

Step-by-step explanation:

this is because calculations excuse length value by dividing by 2.54

165/ 2.54 = 64.96 inches

Need answer asap pls..............

Answers

Answer:

These go up by 1.

Step-by-step explanation:

10 20 30 40 50 60 70 80 90

1 + 1 = 2

2 + 1 = 3

3 + 1 = 4, and so forth.

Answer:

A (they go up by one )

Step-by-step explanation:

10, 20 , 30 ,40,50 The tens place goes up by  1 each time

If b= 3, then b-2 is equivalent to

Answers

Answer:

1

Step-by-step explanation:

son

Use the substitution method.

b-2

3-2

= 1

Answer :

1

how much is left from 50 after buying 3 books at $
12.65 each​

Answers

Answer:$12.05

Step-by-step explanation:

12.65*3=$37.95

$50-$37.95=$12.05

The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b)
and Q(c,-7,4)
Find the values of:
a=
b=
C=

Answers

Answer:

The values are:

a = -5/2

b = -6

c = -7

Step-by-step explanation:

Given

P = (x₁, y₁, z₁) = (1, 2, b)  

Q =  (x₂, y₂, z₂) = (c, -7, 4)  

As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b)  and Q(c,-7,4), so

m = R = (x, y, z) = (-3, a, -1)

Using the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

given

(x₁, y₁, z₁) = (1, 2, b) = P

(x₂, y₂, z₂) = (c, -7, 4) = Q

m = (x, y, z) = (-3, a, -1) = R

substituting the values in the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

as (x, y, z) = (-3, a, -1), so

[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

so solving 'c'

-3 = (1+c) / (2)

-3 × 2 = 1+c

1+c = -6

c = -6 - 1

c = -7

solving 'a'

a = (2+(-7)) / 2

2a = 2-7

2a = -5

a = -5/2

solving b

-1 = (b+4) / 2

-2 = b+4

b+4 = -2

b = -2-4

b = -6

Thus, the values are:

a = -5/2

b = -6

c = -7

Verification:

[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

put a = -5/2, b = -6, c = -7

[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(\frac{1+\left(-7\right)}{2},\:-\frac{5}{2},\:\frac{\left(-6\right)+4}{2}\right)[/tex]

[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(\frac{-6}{2},\:-\frac{5}{2},\:\frac{-2}{2}\right)[/tex]

[tex]\left(-3,\:-\frac{5}{2},\:-1\right)\:=\:\left(-3,\:-\frac{5}{2},\:-1\right)[/tex]

32 jelly beans was share with 8 students how many each students get
please answer it i`ll give you brainiest

Answers

Answer:

4 students would get jellybeans because 32 divided by 4 would be 8 and 8 times 4 is 32.  hope this helps! :D

Step-by-step explanation:

brainliest plz?

If 32 jelly beans were shared with 8 students each will get 4 jelly beans.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, 32 jelly beans were shared with 8 students.

The no. of jelly beans each student will get can be obtained by dividing the total no. of jelly beans divided by the total no. of students which is,

= (32/8) jellybeans each.

= 4 jelly beans each.

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