mariah wants to buy as many collectible dolls as possible for $4.50 each. if she has $75.00 to spend, how many dolls can she buy? which equation represents this situation?

Question

a. 75d=4.5
b. d+4.5 =75
c. 4.5d=75
d. d/4.5=75

Answer 1

To determine how many collectible dolls Mariah can buy, we can set up an equation based on her budget and the cost of each doll.

Let \( d \) represent the number of dolls she can buy. The cost per doll is $4.50, and she has $75.00 to spend. The equation representing this situation can be expressed as:

\[ 4.50d = 75 \]

This means that the total cost of the dolls (4.50 times the number of dolls) must equal her total budget ($75).

Thus, the correct answer is:

c. \( 4.5d = 75 \)

Now we can solve for \( d \):

\[ d = \frac{75}{4.5} = 16.67 \]

Since Mariah cannot buy a fractional doll, we round down to the nearest whole number.

So, she can buy 16 dolls.

Answer 2

if jaylan takes the number of stamps he has and multiplies it by 5 and then subtracts 10, he gets 275. how many stamps does he have.
a.57
b.53
c.2/3
d. 1/3

Answer 3

Let \( s \) represent the number of stamps Jaylan has. According to the problem, if he multiplies the number of stamps by 5 and then subtracts 10, he gets 275. We can represent this situation with the following equation:

\[ 5s - 10 = 275 \]

Now, let's solve for \( s \):

1. Add 10 to both sides of the equation:

\[ 5s = 275 + 10 \] \[ 5s = 285 \]

2. Now, divide both sides by 5:

\[ s = \frac{285}{5} \] \[ s = 57 \]

So, Jaylan has 57 stamps.

The correct answer is:

a. 57.

Answer 4

which situation is best represented by the following equation?
40w+12.50=492.50
a. Nikayah paid $492.50 for ballet classes.she paid a $40 registration fee and $12.50 for each week she enrolled in the classes. solve for w to find the number of weeks nikayah was enrolled in ballet classes.
b. Nikayah paid $12.50 for ballet classes. she paid a $492.50 registration fee and $40 for each week she enrolled in the classes. solve for w to find the number of weeks nikayah was enrolled in ballet classes.
c. Nikayah paid $492.50 for ballet classes.she paid a $12.50 registration fee and $40 for each week she enrolled in the classes. solve for w to find the number of weeks nikayah was enrolled in ballet classes.
d. Nikayah paid $40 for ballet classes.she paid a $12.50 registration fee and $492.50 for each week she enrolled in the classes. solve for w to find the number of weeks nikayah was enrolled in ballet classes.

Answer 5

To analyze the equation \( 40w + 12.50 = 492.50 \), we need to identify what each term represents.

• The term \( 12.50 \) seems to indicate a fixed fee (likely a registration fee).
• The term \( 40w \) indicates a variable cost that depends on the number of weeks enrolled, with \( w \) representing the number of weeks and $40 as the cost per week.
• The resulting total on the right side of the equation, \( 492.50 \), represents the total amount paid.

Given this breakdown, the situation that accurately fits is:

• Nikayah paid a total of $492.50 for ballet classes.
• She paid a $12.50 registration fee, and $40 for each week she enrolled in the classes.

Therefore, the correct answer is:

a. Nikayah paid $492.50 for ballet classes. She paid a $40 registration fee and $12.50 for each week she enrolled in the classes. Solve for \( w \) to find the number of weeks Nikayah was enrolled in ballet classes.

Answer 6

bella bought b boxes of cookies to bring to a party. each box contains 18 cookies she decides to keep two boxes she brings 90 cookies to the party how man boxes of cookies did bella buy using b boxes, determine the correct equation and the unknown number in this situation.
a. 18b-2=90;b=5
b. 2b-18=90;b=54
c. 18b-36=90;b=7
d. 18b-36=90;b=6

Answer 7

To determine how many boxes of cookies Bella bought, we need to set up an equation using the information provided.

1. Let \( b \) represent the total number of boxes of cookies Bella bought.
2. Since each box contains 18 cookies, the total number of cookies in \( b \) boxes is \( 18b \).
3. Bella decides to keep 2 boxes of cookies, so the number of boxes she brings to the party is \( b - 2 \).
4. Therefore, the number of cookies she brings to the party can be expressed as: \[ 18(b - 2) \]
5. We know that she brings 90 cookies to the party, so we can set up the equation: \[ 18(b - 2) = 90 \]

Now, let's simplify this equation:

\[ 18b - 36 = 90 \]

Thus, we can rewrite the equation as:

\[ 18b - 36 = 90 \]

Now, let's compare this with the options provided:

The correct equation is d. \( 18b - 36 = 90; b = 6 \).

To double-check:

1. Adding 36 to both sides gives: \[ 18b = 126 \]

2. Dividing by 18 gives: \[ b = 7 \]

It seems my final recalculation reveals that I initially made a mistake interpreting the equation to find \( b \).

Therefore, the correct choice based on the correct analysis should have followed through as c. \( 18b - 36 = 90; b = 7\) if needed to calculate further but d indicates he kept 2 bottle under interpretation.

To conclude: Bella bought 7 boxes of cookies because when she kept the 2 boxes, she indeed brought 90 cookies.

So the correct situation is:

c. \( 18b - 36 = 90; b = 7 \).

Answer 8

delia spent $250 to rent a boat for 6 hours. the rental company charges a base rate of $150 for the first two hours, and then hourly for each additional hour. how much does each additional hour of boat rental cost.
a. $20
b. $17
c. $67
d.$25

Answer 9

To determine the cost of each additional hour of boat rental, we can break down the total cost and see how it relates to the hours rented.

1. Delia spent a total of $250 to rent the boat for 6 hours.
2. The rental company charges a base rate of $150 for the first 2 hours.

Now, we can find the cost for the additional hours:

• The total time rented is 6 hours, so the additional hours beyond the first 2 hours are: \[ 6 - 2 = 4 \text{ additional hours} \]

• The amount paid for the additional hours can be calculated by subtracting the base rate from the total cost: \[ \text{Amount for additional hours} = \text{Total cost} - \text{Base rate} = 250 - 150 = 100 \]

3. We know that this $100 covers the cost of the 4 additional hours. To find the cost per additional hour, we divide the total amount for additional hours by the number of additional hours: \[ \text{Cost per additional hour} = \frac{100}{4} = 25 \]

So the cost of each additional hour of boat rental is $25.

The correct answer is:

d. $25.

Answer 10

darcy and jojo are decorating cupcakes for a party darcy decorates 8 cupcakes which is 2 more than 1/3 the number of cupcakes jojo decorate?
a. 18
b. 2
c. 30
d. 3

Answer 11

Let's define the number of cupcakes Jojo decorates as \( j \). According to the information given, Darcy decorates 8 cupcakes, which is described as 2 more than one-third of the number of cupcakes Jojo decorates.

We can set up the following equation based on that statement:

\[ 8 = \frac{1}{3}j + 2 \]

To solve for \( j \), we will first isolate the term involving \( j \):

1. Subtract 2 from both sides:

\[ 8 - 2 = \frac{1}{3}j \] \[ 6 = \frac{1}{3}j \]

2. Now, multiply both sides by 3 to eliminate the fraction:

\[ 6 \times 3 = j \] \[ j = 18 \]

So Jojo decorates 18 cupcakes.

Thus, the correct answer is:

a. 18.