1. r/5 = 9/21
r = 9
r = 2.14
r = 11.66
r = 37.8
2. A recipe calls for 3 cups of flour to make 3 dozen cookies. Use the proportion to calculate how much flour is needed to make 9 dozen cookies. 3cups/3dozen = xcups/9dozen
6 cups
3.5 cups
9 cups
12 cups
3. Chase sold 48 tickets to the school dance, and Justine sold 14 tickets. What is the ratio in simplest form of the number of tickets Justine sold to the number of tickets Chase sold?
7/24
24/7
4
48/14
4. In 6 months, 33.6 gallons were used. Find the unit rate.
3.6 gallons/month
4.6 gallons/month
5.6 gallons/month
6.6 gallons/month
5. You pay $2.36 for 6 donuts. What's the unit price?
$0.06 per donut
$0.35 per donut
$0.39 per donut
$0.42 per donut
1. 2.14
2. 9 cups or 12 cups
3. 7/24
4. 6.6 gallons/month
5. $0.39 per donut
2. Which is it?
4. Wrong
The others are correct.
What's number 6?
1. To find the value of r in the equation r/5 = 9/21, we can cross multiply and solve for r.
Cross multiplying gives us:
21r = 9 * 5
Multiplying 9 by 5 gives us:
21r = 45
Now, we can divide both sides of the equation by 21 to isolate r:
r = 45/21
Simplifying the fraction gives us:
r = 15/7 or approximately 2.14
Therefore, the value of r is approximately 2.14.
2. To determine how much flour is needed to make 9 dozen cookies based on a recipe that requires 3 cups of flour for 3 dozen cookies, we can use a proportion.
The proportion is set up as follows:
3 cups / 3 dozen = x cups / 9 dozen
To solve for x, we can cross multiply:
3 * 9 dozen = 3 cups * x
Multiplying 3 by 9 gives us:
27 dozen = 3x cups
Now, we can divide both sides of the equation by 3 to isolate x:
x = 27 dozen / 3
Simplifying the fraction gives us:
x = 9 dozen
Since 1 dozen is equal to 12, we can convert 9 dozen to cups by multiplying by 12:
x = 9 dozen * 12 cups/dozen
Calculating the value gives us:
x = 108 cups
Therefore, to make 9 dozen cookies, you would need 108 cups of flour.
3. To find the ratio of the number of tickets Justine sold to the number of tickets Chase sold (given that Chase sold 48 tickets and Justine sold 14 tickets), we divide the number of tickets Justine sold by the number of tickets Chase sold.
The ratio is:
Justine's tickets sold / Chase's tickets sold
Plugging in the values, we get:
14 tickets / 48 tickets
To simplify this ratio, we can divide both numbers by their greatest common divisor, which is 2 in this case:
14/2 tickets / 48/2 tickets = 7/24 tickets
Therefore, the ratio in simplest form of the number of tickets Justine sold to the number of tickets Chase sold is 7/24.
4. To find the unit rate, we divide the total amount used by the number of months.
The unit rate is:
Total amount used / Number of months
Plugging in the values, we get:
33.6 gallons / 6 months
Dividing 33.6 by 6 gives us:
5.6 gallons/month
Therefore, the unit rate is 5.6 gallons/month.
5. To find the unit price, we divide the total cost by the number of items.
The unit price is:
Total cost / Number of items
Plugging in the values, we get:
$2.36 / 6 donuts
Dividing $2.36 by 6 gives us:
$0.39 per donut
Therefore, the unit price is $0.39 per donut.
1. To solve the equation r/5 = 9/21, we can cross-multiply to eliminate the denominators and find the value of r.
Cross-multiplying gives us (r * 21) = (9 * 5), which simplifies to 21r = 45.
Now, we can divide both sides by 21 to solve for r.
Therefore, r = 45/21 which can be further simplified if needed. In this case, let's simplify it to a decimal.
Dividing 45 by 21 gives us approximately 2.14.
2. The proportion in this case is 3 cups/3 dozen = x cups/9 dozen.
To solve for x, we can cross-multiply.
Cross-multiplying gives us (3 cups * 9 dozen) = (3 dozen * x cups), which simplifies to 27 cups = 3x.
Now, divide both sides by 3 to solve for x.
Therefore, x = 27 cups/3 = 9 cups.
3. To find the ratio of the number of tickets Justine sold to the number of tickets Chase sold, we divide Justine's number of tickets by Chase's number of tickets.
So, the ratio will be 14 tickets/48 tickets.
This ratio can be further simplified, and in this case, it simplifies to 7/24.
4. To find the unit rate, we divide the total amount used by the time period.
In this case, the total amount used is 33.6 gallons and the time period is 6 months.
So, the unit rate will be 33.6 gallons/6 months, which simplifies to 5.6 gallons/month.
5. To find the unit price, we divide the total cost by the quantity.
In this case, the total cost is $2.36 and the quantity is 6 donuts.
So, the unit price will be $2.36/6 donuts, which simplifies to approximately $0.39 per donut.