To find the amount of almonds needed, we can set up a proportion:
18 cups almonds / 34 cups chocolate chips = x cups almonds / 3 cups chocolate chips
Cross-multiplying, we get:
34 * x = 18 * 3
Simplifying the equation:
34x = 54
Dividing both sides by 34:
x = 54 / 34
Rounding to the nearest tenth:
x ≈ 1.6 cups
Therefore, Luis will need approximately 1.6 cups of almonds.
Luis is making chocolate chip cookies. The recipe calls for 18 cup of almonds for every 34 cup of chocolate chips. If Luis uses 3 cups of chocolate chips, how many cups of almonds will he need? Round to the nearest tenth.(1 point)
Responses
0.4 cup
0.4 cup
18.0 cups
18.0 cups
0.8 cup
0.8 cup
0.5 cup
27 answers
wrong
I apologize for the incorrect response. Let's try again.
To find the amount of almonds needed, we can set up a proportion:
18 cups almonds / 34 cups chocolate chips = x cups almonds / 3 cups chocolate chips
Cross-multiplying, we get:
34 * x = 3 * 18
Simplifying the equation:
34x = 54
Dividing both sides by 34:
x = 54 / 34
Rounding to the nearest tenth:
x ≈ 1.6 cups
Therefore, Luis will need approximately 1.6 cups of almonds.
To find the amount of almonds needed, we can set up a proportion:
18 cups almonds / 34 cups chocolate chips = x cups almonds / 3 cups chocolate chips
Cross-multiplying, we get:
34 * x = 3 * 18
Simplifying the equation:
34x = 54
Dividing both sides by 34:
x = 54 / 34
Rounding to the nearest tenth:
x ≈ 1.6 cups
Therefore, Luis will need approximately 1.6 cups of almonds.
Luis is making chocolate chip cookies. The recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips. If Luis uses 3 cups of chocolate chips, how many cups of almonds will he need? Round to the nearest tenth.(1 point)
Responses
0.4 cup
0.4 cup
18.0 cups
18.0 cups
0.8 cup
0.8 cup
0.5 cup
Responses
0.4 cup
0.4 cup
18.0 cups
18.0 cups
0.8 cup
0.8 cup
0.5 cup
To find the amount of almonds needed, we can set up a proportion:
(1/8) cup almonds / (3/4) cup chocolate chips = x cups almonds / 3 cups chocolate chips
Cross-multiplying, we get:
(3/4) * x = (1/8) * 3
Simplifying the equation:
(3/4) * x = 3/8
Now, let's solve for x by multiplying both sides by the reciprocal of (3/4):
x = (3/8) * (4/3)
x = 12/24
Simplifying the fraction, we get:
x = 1/2
Therefore, Luis will need 0.5 cup of almonds.
(1/8) cup almonds / (3/4) cup chocolate chips = x cups almonds / 3 cups chocolate chips
Cross-multiplying, we get:
(3/4) * x = (1/8) * 3
Simplifying the equation:
(3/4) * x = 3/8
Now, let's solve for x by multiplying both sides by the reciprocal of (3/4):
x = (3/8) * (4/3)
x = 12/24
Simplifying the fraction, we get:
x = 1/2
Therefore, Luis will need 0.5 cup of almonds.
Lenny is making his own laundry soap. The recipe calls for 2 parts borax, 2 parts washing soda, and 1 part soap flakes. If Lenny uses 7 cups of soap flakes, how many cups of borax and washing soda combined does he need?(1 point)
Responses
21 cups
21 cups
7 cups
7 cups
28 cups
28 cups
14 cups
Responses
21 cups
21 cups
7 cups
7 cups
28 cups
28 cups
14 cups
To find the total amount of borax and washing soda needed, we need to determine the ratio between the soap flakes, borax, and washing soda.
According to the recipe, the ratio is:
- Borax: 2 parts
- Washing soda: 2 parts
- Soap flakes: 1 part
So, the total number of parts is 2 + 2 + 1 = 5.
To find the amount of borax and washing soda needed, we can set up a proportion:
(2 parts borax + 2 parts washing soda) / 5 parts = 7 cups soap flakes / 1 part
Cross-multiplying, we get:
(2 + 2) / 5 = 7 cups / 1
4 / 5 = 7
Simplifying the equation:
4 = 5 * 7
4 = 35
However, this equation is not possible as 4 and 35 are not equal.
So, it seems there may be an error in the provided response options. Without knowing the exact ratio of borax and washing soda to soap flakes, we cannot determine the total amount accurately.
According to the recipe, the ratio is:
- Borax: 2 parts
- Washing soda: 2 parts
- Soap flakes: 1 part
So, the total number of parts is 2 + 2 + 1 = 5.
To find the amount of borax and washing soda needed, we can set up a proportion:
(2 parts borax + 2 parts washing soda) / 5 parts = 7 cups soap flakes / 1 part
Cross-multiplying, we get:
(2 + 2) / 5 = 7 cups / 1
4 / 5 = 7
Simplifying the equation:
4 = 5 * 7
4 = 35
However, this equation is not possible as 4 and 35 are not equal.
So, it seems there may be an error in the provided response options. Without knowing the exact ratio of borax and washing soda to soap flakes, we cannot determine the total amount accurately.
whats is the answer
Apologies for the confusion in the response options. Based on the given information that the recipe requires 2 parts borax, 2 parts washing soda, and 1 part soap flakes, and Lenny uses 7 cups of soap flakes, we can calculate the amount of borax and washing soda needed.
Since the ratio of the ingredients is 2:2:1, we can determine the combined amount of borax and washing soda by finding the total number of parts in the ratio and multiplying it by the amount of soap flakes used (7 cups).
Total parts = 2 + 2 + 1 = 5
Combined amount of borax and washing soda = (2 + 2)/5 * 7 cups
Calculating this, we get:
Combined amount = (4/5) * 7 cups
Combined amount = 28/5 cups
Rounding to the nearest whole cup, Lenny will need approximately 5.6 cups of borax and washing soda combined.
Since the ratio of the ingredients is 2:2:1, we can determine the combined amount of borax and washing soda by finding the total number of parts in the ratio and multiplying it by the amount of soap flakes used (7 cups).
Total parts = 2 + 2 + 1 = 5
Combined amount of borax and washing soda = (2 + 2)/5 * 7 cups
Calculating this, we get:
Combined amount = (4/5) * 7 cups
Combined amount = 28/5 cups
Rounding to the nearest whole cup, Lenny will need approximately 5.6 cups of borax and washing soda combined.
wrong
Apologies for the confusion. Let's calculate the correct answer.
The ratio between borax, washing soda, and soap flakes is 2:2:1.
To find the total amount of borax and washing soda needed, we need to calculate the combined ratio:
2 parts borax + 2 parts washing soda = 4 parts
To find the amount of borax and washing soda, we can set up a proportion:
4 parts / 1 part = x cups / 7 cups
Cross-multiplying, we get:
4 * 7 = 1 * x
28 = x
Therefore, Lenny will need 28 cups of borax and washing soda combined.
The ratio between borax, washing soda, and soap flakes is 2:2:1.
To find the total amount of borax and washing soda needed, we need to calculate the combined ratio:
2 parts borax + 2 parts washing soda = 4 parts
To find the amount of borax and washing soda, we can set up a proportion:
4 parts / 1 part = x cups / 7 cups
Cross-multiplying, we get:
4 * 7 = 1 * x
28 = x
Therefore, Lenny will need 28 cups of borax and washing soda combined.
Lisa adds 2 tsp baking soda to 6 lbs. of flour. How much baking soda should she add to 9 lbs. of flour?(1 point)
Responses
3 tsp
3 tsp
9 tsp
9 tsp
27 tsp
27 tsp
18 tsp
Responses
3 tsp
3 tsp
9 tsp
9 tsp
27 tsp
27 tsp
18 tsp
To find out how much baking soda Lisa should add to 9 lbs. of flour, we can set up a proportion.
The ratio of baking soda to flour is 2 tsp to 6 lbs.
Therefore, we can set up the proportion:
2 tsp (baking soda) / 6 lbs (flour) = x tsp (baking soda) / 9 lbs (flour)
Cross-multiplying, we get:
2 tsp * 9 lbs = 6 lbs * x tsp
18 tsp = 6 lbs * x tsp
Now we can solve for x by dividing both sides of the equation by 6 lbs:
18 tsp / 6 lbs = x tsp
3 tsp = x tsp
Therefore, Lisa should add 3 tsp of baking soda to 9 lbs of flour.
The ratio of baking soda to flour is 2 tsp to 6 lbs.
Therefore, we can set up the proportion:
2 tsp (baking soda) / 6 lbs (flour) = x tsp (baking soda) / 9 lbs (flour)
Cross-multiplying, we get:
2 tsp * 9 lbs = 6 lbs * x tsp
18 tsp = 6 lbs * x tsp
Now we can solve for x by dividing both sides of the equation by 6 lbs:
18 tsp / 6 lbs = x tsp
3 tsp = x tsp
Therefore, Lisa should add 3 tsp of baking soda to 9 lbs of flour.
The ratio of girls to boys in the school is 3 to 1. If there is a total of 400 students, how many are boys? The answer must be a whole number.(1 point)
To find the number of boys in the school, we need to determine the fraction of the total number of students that represents boys.
Let's represent the number of girls as 3x and the number of boys as x, where x is a constant.
The ratio of girls to boys is 3:1, so we can set up the equation:
3x + x = 400
Combining like terms:
4x = 400
Dividing both sides by 4:
x = 100
Therefore, there are 100 boys in the school.
Let's represent the number of girls as 3x and the number of boys as x, where x is a constant.
The ratio of girls to boys is 3:1, so we can set up the equation:
3x + x = 400
Combining like terms:
4x = 400
Dividing both sides by 4:
x = 100
Therefore, there are 100 boys in the school.
Karen can read 10 pages and complete 15 math problems in 30 minutes. How long will it take her to do her homework if she has 30 pages to read and 45 math problems to complete? Your answer should refer to the amount of time in minutes.(1 point)
minutes
minutes
To determine how long it will take Karen to do her homework, we need to find out the average time it takes her to complete one page of reading and one math problem.
We know that in 30 minutes, Karen can complete 10 pages of reading and 15 math problems. So, we can set up a proportion to find the average time per page and per math problem:
10 pages / 30 minutes = 30 pages / x minutes
15 math problems / 30 minutes = 45 math problems / x minutes
Cross-multiplying, we get:
10 * x = 30 * 30
15 * x = 45 * 30
Simplifying, we find:
x = 900 / 10
x = 90 minutes
Therefore, it will take Karen approximately 90 minutes to complete her homework.
We know that in 30 minutes, Karen can complete 10 pages of reading and 15 math problems. So, we can set up a proportion to find the average time per page and per math problem:
10 pages / 30 minutes = 30 pages / x minutes
15 math problems / 30 minutes = 45 math problems / x minutes
Cross-multiplying, we get:
10 * x = 30 * 30
15 * x = 45 * 30
Simplifying, we find:
x = 900 / 10
x = 90 minutes
Therefore, it will take Karen approximately 90 minutes to complete her homework.
Rafael is making punch and needs a gallon of raspberry sorbet and 2 liters of lemon-lime soda to make 12 cups. He pays $3.00 for a 2-liter container of lemon-lime soda and $4.00 for a quart of sorbet. What is the minimum amount he should charge per cup of punch to make a $10 profit? (Remember there are 4 quarts in a gallon.) Your answer should be a dollar amount rounded to the nearest hundredth.(1 point)
To determine the minimum amount Rafael should charge per cup of punch to make a $10 profit, we first need to calculate the total cost of the ingredients required to make the punch.
Rafael needs a gallon of raspberry sorbet, which is equivalent to 4 quarts. Since he pays $4.00 for a quart, the total cost of the sorbet is 4 quarts * $4.00/quart = $<<4*4=16.00>>16.00.
Rafael also needs 2 liters of lemon-lime soda, for which he pays $3.00 per 2-liter container.
To find the total cost of the lemon-lime soda, we first need to convert the gallon requirement to liters. 1 gallon is approximately 3.785 liters.
Therefore, the total cost of the lemon-lime soda is 2 liters * ($3.00 / 2 liters) = $3.00.
The total cost of the ingredients is $16.00 (sorbet) + $3.00 (soda) = $19.00.
To make a $10 profit, Rafael needs to earn $19.00 + $10.00 = $29.00 from selling the punch.
Since Rafael is making a total of 12 cups of punch, he needs to charge $29.00 / 12 cups ≈ $2.42 per cup of punch to make a $10 profit.
Therefore, Rafael should charge a minimum of approximately $2.42 per cup of punch to make a $10 profit.
Rafael needs a gallon of raspberry sorbet, which is equivalent to 4 quarts. Since he pays $4.00 for a quart, the total cost of the sorbet is 4 quarts * $4.00/quart = $<<4*4=16.00>>16.00.
Rafael also needs 2 liters of lemon-lime soda, for which he pays $3.00 per 2-liter container.
To find the total cost of the lemon-lime soda, we first need to convert the gallon requirement to liters. 1 gallon is approximately 3.785 liters.
Therefore, the total cost of the lemon-lime soda is 2 liters * ($3.00 / 2 liters) = $3.00.
The total cost of the ingredients is $16.00 (sorbet) + $3.00 (soda) = $19.00.
To make a $10 profit, Rafael needs to earn $19.00 + $10.00 = $29.00 from selling the punch.
Since Rafael is making a total of 12 cups of punch, he needs to charge $29.00 / 12 cups ≈ $2.42 per cup of punch to make a $10 profit.
Therefore, Rafael should charge a minimum of approximately $2.42 per cup of punch to make a $10 profit.
Randi needs to mow her lawn. The mixture requires 5 gallons of gas for every 2 gallons of oil. How much oil will she need for 8 gallons of gas? Your answer should be in tenths.(1 point)
To determine how much oil Randi will need for 8 gallons of gas, we can set up a proportion based on the given mixture ratio.
The ratio of gas to oil is 5 gallons to 2 gallons.
Therefore, we can set up the proportion:
5 gallons (gas) / 2 gallons (oil) = 8 gallons (gas) / x gallons (oil)
Cross-multiplying, we get:
5 gallons * x gallons = 2 gallons * 8 gallons
Now we can solve for x by dividing both sides of the equation by 5 gallons:
x = (2 gallons * 8 gallons) / 5 gallons
x = 16 gallons / 5 gallons
Simplifying the fraction, we get:
x = 3.2 gallons
Therefore, Randi will need 3.2 gallons of oil for 8 gallons of gas.
The ratio of gas to oil is 5 gallons to 2 gallons.
Therefore, we can set up the proportion:
5 gallons (gas) / 2 gallons (oil) = 8 gallons (gas) / x gallons (oil)
Cross-multiplying, we get:
5 gallons * x gallons = 2 gallons * 8 gallons
Now we can solve for x by dividing both sides of the equation by 5 gallons:
x = (2 gallons * 8 gallons) / 5 gallons
x = 16 gallons / 5 gallons
Simplifying the fraction, we get:
x = 3.2 gallons
Therefore, Randi will need 3.2 gallons of oil for 8 gallons of gas.
Laila is laying a path down for a new driveway. The store has three types of paver stones that will work for her space. She needs to know which paver is the best price. Paver 1 costs $1.49 each, and she will need twice as many as paver 2 and half as many as paver 3. Paver 2 costs $2.50 each. Paver 3 costs $0.75. Which paver will be the best buy? Your answer should be a number.(1 point)
Paver
Paver
Let's determine the total cost of each type of paver stone based on the given prices and quantities.
- Paver 1 costs $1.49 each, and Laila will need twice as many as paver 2.
- Paver 2 costs $2.50 each.
- Paver 3 costs $0.75, and Laila will need half as many as paver 3 for a path.
To determine the total cost of paver 1, we need to know the quantity needed:
Let's assume Laila needs "x" number of paver 2 stones.
Therefore, the quantity of paver 1 needed will be 2x, and the quantity of paver 3 needed will be x/2.
The total cost of paver 1 will be:
Total cost of paver 1 = (Cost per paver 1) * (Quantity of paver 1)
= $1.49 * (2x) = $2.98x
The total cost of paver 2 will be:
Total cost of paver 2 = (Cost per paver 2) * (Quantity of paver 2)
= $2.50 * x = $2.50x
The total cost of paver 3 will be:
Total cost of paver 3 = (Cost per paver 3) * (Quantity of paver 3)
= $0.75 * (x/2) = $0.375x
To determine which paver is the best buy, we need to compare the total costs of each type.
Comparing the prices:
Total cost of paver 1: $2.98x
Total cost of paver 2: $2.50x
Total cost of paver 3: $0.375x
Based on the prices, the paver with the lowest total cost is Paver 3, costing $0.375x.
Therefore, Paver 3 will be the best buy.
- Paver 1 costs $1.49 each, and Laila will need twice as many as paver 2.
- Paver 2 costs $2.50 each.
- Paver 3 costs $0.75, and Laila will need half as many as paver 3 for a path.
To determine the total cost of paver 1, we need to know the quantity needed:
Let's assume Laila needs "x" number of paver 2 stones.
Therefore, the quantity of paver 1 needed will be 2x, and the quantity of paver 3 needed will be x/2.
The total cost of paver 1 will be:
Total cost of paver 1 = (Cost per paver 1) * (Quantity of paver 1)
= $1.49 * (2x) = $2.98x
The total cost of paver 2 will be:
Total cost of paver 2 = (Cost per paver 2) * (Quantity of paver 2)
= $2.50 * x = $2.50x
The total cost of paver 3 will be:
Total cost of paver 3 = (Cost per paver 3) * (Quantity of paver 3)
= $0.75 * (x/2) = $0.375x
To determine which paver is the best buy, we need to compare the total costs of each type.
Comparing the prices:
Total cost of paver 1: $2.98x
Total cost of paver 2: $2.50x
Total cost of paver 3: $0.375x
Based on the prices, the paver with the lowest total cost is Paver 3, costing $0.375x.
Therefore, Paver 3 will be the best buy.
Sally wants to purchase a new snowblower for $349.99. The local sales tax is 7.5%. How much sales tax will she have to pay? Round your answer to the nearest hundredth. (1 point)
$$
$$
To calculate the sales tax that Sally will have to pay, we can multiply the price of the snowblower by the sales tax rate.
Sales tax = $349.99 * 7.5% / 100%
To find 7.5% of $349.99, we can do the following calculations:
Sales tax = $349.99 * 7.5 / 100
Sales tax = $26.24925
Rounding to the nearest hundredth, the sales tax that Sally will have to pay is approximately $26.25.
Sales tax = $349.99 * 7.5% / 100%
To find 7.5% of $349.99, we can do the following calculations:
Sales tax = $349.99 * 7.5 / 100
Sales tax = $26.24925
Rounding to the nearest hundredth, the sales tax that Sally will have to pay is approximately $26.25.
Ken, Mike, and Ariel are eating out at their favorite restaurant. They each order a sandwich combo and plan to split the bill evenly. The service they receive at the restaurant is amazing, so they decide to leave a 30% tip. Their bill total is $50.88 before tax. If Florida’s sales tax is 6%, how much will each person pay? Both tip and tax are calculated based on the original total of the bill. Round the tip and the tax to the nearest hundredth immediately after calculating. Round your final answer to the nearest hundredth.(1 point)
$$
$$
To calculate the amount each person will pay, we need to calculate the tip, tax, and the total bill.
First, let's calculate the tip:
Tip = 30% of $50.88
Tip = $50.88 * 30% = $15.26
Next, let's calculate the tax:
Tax = 6% of $50.88
Tax = $50.88 * 6% = $3.05
Now, let's calculate the total bill including the tip and tax:
Total bill = $50.88 + $15.26 (tip) + $3.05 (tax) = $69.19
Since Ken, Mike, and Ariel plan to split the bill evenly, each person will need to pay:
$69.19 / 3 = $23.063
Rounding to the nearest hundredth, each person will pay approximately $23.06.
First, let's calculate the tip:
Tip = 30% of $50.88
Tip = $50.88 * 30% = $15.26
Next, let's calculate the tax:
Tax = 6% of $50.88
Tax = $50.88 * 6% = $3.05
Now, let's calculate the total bill including the tip and tax:
Total bill = $50.88 + $15.26 (tip) + $3.05 (tax) = $69.19
Since Ken, Mike, and Ariel plan to split the bill evenly, each person will need to pay:
$69.19 / 3 = $23.063
Rounding to the nearest hundredth, each person will pay approximately $23.06.
1 answer