To find out how much oil Randi will need for 8 gallons of gas, we first need to determine the ratio of gas to oil in the mixture.
Given that the mixture requires 5 gallons of gas for every 2 gallons of oil, we can write this as a ratio:
5 gallons of gas : 2 gallons of oil
To find how much oil is needed for 8 gallons of gas, we can set up a proportionate equation:
5 gallons of gas / 2 gallons of oil = 8 gallons of gas / x gallons of oil.
Cross multiplying, we have:
5 * x = 2 * 8,
5x = 16,
x = 16/5.
So, Randi will need 16/5 gallons of oil for 8 gallons of gas, which is equal to 3.2 gallons of oil.
Therefore, Randi will need 3.2 gallons of oil for 8 gallons of gas.
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.
I NEED HELP IM BEHIND
21 answers
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.
To determine which paver is the best buy, we need to compare the total cost of each paver based on the given information.
Let's first calculate the number of each type of paver Laila will need:
- Paver 1: Laila needs twice as many as paver 2, so let's say she needs x number of paver 2. Thus, she will need 2x number of paver 1.
- Paver 2: Laila needs x number of paver 2.
- Paver 3: Laila needs half as many paver 3 as paver 1, so she will need 0.5 * 2x = x number of paver 3.
Next, let's calculate the total cost of each paver:
- Paver 1: Total cost = (number of paver 1) * (cost per paver 1) = (2x) * $1.49 = $2.98x.
- Paver 2: Total cost = (number of paver 2) * (cost per paver 2) = x * $2.50 = $2.50x.
- Paver 3: Total cost = (number of paver 3) * (cost per paver 3) = x * $0.75 = $0.75x.
To find the best buy, we need to compare the total costs. Looking at the given prices per paver, it is clear that Paver 3 costs the least ($0.75). Therefore, Paver 3 would be the best buy.
Please note that this answer may change depending on the specific values of x and the given quantities required for each paver.
Let's first calculate the number of each type of paver Laila will need:
- Paver 1: Laila needs twice as many as paver 2, so let's say she needs x number of paver 2. Thus, she will need 2x number of paver 1.
- Paver 2: Laila needs x number of paver 2.
- Paver 3: Laila needs half as many paver 3 as paver 1, so she will need 0.5 * 2x = x number of paver 3.
Next, let's calculate the total cost of each paver:
- Paver 1: Total cost = (number of paver 1) * (cost per paver 1) = (2x) * $1.49 = $2.98x.
- Paver 2: Total cost = (number of paver 2) * (cost per paver 2) = x * $2.50 = $2.50x.
- Paver 3: Total cost = (number of paver 3) * (cost per paver 3) = x * $0.75 = $0.75x.
To find the best buy, we need to compare the total costs. Looking at the given prices per paver, it is clear that Paver 3 costs the least ($0.75). Therefore, Paver 3 would be the best buy.
Please note that this answer may change depending on the specific values of x and the given quantities required for each paver.
It was paver 2 not 3 bot :/
Apologies for the confusion. Let's recalculate based on the corrected information.
- Paver 1: Laila needs twice as many as paver 2, so she will need 2x number of paver 2.
- Paver 2: Laila needs x number of paver 2.
- Paver 3: Laila needs half as many paver 2, so she will need 0.5 * x = 0.5x number of paver 2.
Now, let's calculate the total cost of each paver:
- Paver 1: Total cost = (number of paver 1) * (cost per paver 1) = (2x) * $1.49 = $2.98x.
- Paver 2: Total cost = (number of paver 2) * (cost per paver 2) = x * $2.50 = $2.50x.
To find the best buy, we need to compare the total costs of paver 1 and paver 2.
Comparing $2.98x and $2.50x, we see that $2.50x is the smaller amount.
Therefore, paver 2 would be the best buy.
- Paver 1: Laila needs twice as many as paver 2, so she will need 2x number of paver 2.
- Paver 2: Laila needs x number of paver 2.
- Paver 3: Laila needs half as many paver 2, so she will need 0.5 * x = 0.5x number of paver 2.
Now, let's calculate the total cost of each paver:
- Paver 1: Total cost = (number of paver 1) * (cost per paver 1) = (2x) * $1.49 = $2.98x.
- Paver 2: Total cost = (number of paver 2) * (cost per paver 2) = x * $2.50 = $2.50x.
To find the best buy, we need to compare the total costs of paver 1 and paver 2.
Comparing $2.98x and $2.50x, we see that $2.50x is the smaller amount.
Therefore, paver 2 would be the best buy.
Use proportional relationships to solve this mixture problem. The incoming 6th-grade class has a choice between band or choir as an elective. There are four times as many seats in choir as there are in band. How many students can choose band if there is a total of 250 students?
To determine how many students can choose band, we need to find the number of seats in band and the ratio of seats in choir to band.
Given that there are four times as many seats in choir as in band, we can write this as a ratio:
Seats in choir : Seats in band = 4 : 1
Let's denote the number of seats in band as b. Since there are four times as many seats in choir as in band, the number of seats in choir would be 4b.
To find the number of students who can choose band, we need to find the fraction of students who can choose band out of the total number of students.
The fraction of students who can choose band would be the number of seats in band (b) divided by the total number of students (250).
Since the ratio of seats in choir to band is 4 : 1, the fraction of students who can choose band would be:
b / (4b + b) = b / 5b
Setting this fraction equal to the total fraction of students who can choose band:
b / 5b = (number of students who can choose band) / 250
To solve for b, we can cross-multiply:
250 * b = 5b
245 * b = 0
This equation yields an undefined value. Therefore, the given information is contradictory or not enough information is provided to solve the problem.
Given that there are four times as many seats in choir as in band, we can write this as a ratio:
Seats in choir : Seats in band = 4 : 1
Let's denote the number of seats in band as b. Since there are four times as many seats in choir as in band, the number of seats in choir would be 4b.
To find the number of students who can choose band, we need to find the fraction of students who can choose band out of the total number of students.
The fraction of students who can choose band would be the number of seats in band (b) divided by the total number of students (250).
Since the ratio of seats in choir to band is 4 : 1, the fraction of students who can choose band would be:
b / (4b + b) = b / 5b
Setting this fraction equal to the total fraction of students who can choose band:
b / 5b = (number of students who can choose band) / 250
To solve for b, we can cross-multiply:
250 * b = 5b
245 * b = 0
This equation yields an undefined value. Therefore, the given information is contradictory or not enough information is provided to solve the problem.
Use proportional relationships to solve this mixture problem. The incoming 6th-grade class has a choice between band or choir as an elective. There are four times as many seats in choir as there are in band. How many students can choose band if there is a total of 250 students?
A. 200
B. 124
C. 250
D. 50
Thx for the help bot
A. 200
B. 124
C. 250
D. 50
Thx for the help bot
To determine how many students can choose band, we need to consider the proportional relationship between the number of seats in choir and the number of seats in band.
Given that there are four times as many seats in choir as in band, we can represent this relationship as:
Seats in choir : Seats in band = 4 : 1
Let's assume that the number of seats in band is x. Then, the number of seats in choir would be 4x.
To find the number of students who can choose band, we need to determine the fraction of students eligible to choose band out of the total number of students.
The fraction of students eligible for band would be the number of seats in band (x) divided by the total number of seats available (x + 4x = 5x, since there are 4x seats in choir and x seats in band).
Setting this fraction equal to the fraction of students eligible for band out of the total number of students:
x / (5x) = (number of students eligible for band) / 250
To solve for x, we can cross-multiply:
250 * x = 5x
Dividing both sides of the equation by 5:
250 = x
Therefore, there are x = 250 seats in band, and all the students can choose band as their elective.
This means that the correct answer is C. 250.
Given that there are four times as many seats in choir as in band, we can represent this relationship as:
Seats in choir : Seats in band = 4 : 1
Let's assume that the number of seats in band is x. Then, the number of seats in choir would be 4x.
To find the number of students who can choose band, we need to determine the fraction of students eligible to choose band out of the total number of students.
The fraction of students eligible for band would be the number of seats in band (x) divided by the total number of seats available (x + 4x = 5x, since there are 4x seats in choir and x seats in band).
Setting this fraction equal to the fraction of students eligible for band out of the total number of students:
x / (5x) = (number of students eligible for band) / 250
To solve for x, we can cross-multiply:
250 * x = 5x
Dividing both sides of the equation by 5:
250 = x
Therefore, there are x = 250 seats in band, and all the students can choose band as their elective.
This means that the correct answer is C. 250.
Carla needs to complete her science homework. She has 20 pages to read and 14 questions to answer. If it takes Carla 10 minutes to read 4 pages, how many minutes will it take her to read the full assignment?
A. 85
B. 9
C. 35
D. 50
A. 85
B. 9
C. 35
D. 50
To determine how many minutes it will take Carla to read the full assignment, we need to first determine how many sets of 4 pages are in the assignment.
Carla has 20 pages to read, and it takes her 10 minutes to read 4 pages. This means that she can read 4 pages in 10 minutes.
To find out how many sets of 4 pages are in 20 pages, we can divide 20 by 4:
20 pages / 4 pages = 5 sets of 4 pages
So, Carla will need 5 sets of 10 minutes to read the full assignment:
5 sets * 10 minutes per set = 50 minutes
Therefore, it will take Carla 50 minutes to read the full assignment.
The correct answer is D. 50.
Carla has 20 pages to read, and it takes her 10 minutes to read 4 pages. This means that she can read 4 pages in 10 minutes.
To find out how many sets of 4 pages are in 20 pages, we can divide 20 by 4:
20 pages / 4 pages = 5 sets of 4 pages
So, Carla will need 5 sets of 10 minutes to read the full assignment:
5 sets * 10 minutes per set = 50 minutes
Therefore, it will take Carla 50 minutes to read the full assignment.
The correct answer is D. 50.
Luis is making chocolate chip cookies. The recipe calls for 1/8cup 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.
A. 18
B. 0.8
C. 0.5
D. 0.4
A. 18
B. 0.8
C. 0.5
D. 0.4
To determine how many cups of almonds Luis will need, we can set up a proportion based on the given information.
The recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips.
Let x represent the number of cups of almonds needed.
The proportion can be set up as:
(1/8) / (3/4) = x / 3
To simplify, we can invert and multiply:
(1/8) * (4/3) = x / 3
1/2 = x / 3
Cross-multiplying, we have:
3 * (1/2) = x
3/2 = x
So, Luis will need approximately 1.5 cups of almonds.
Rounded to the nearest tenth, the answer is 1.5 = 1.5 cups of almonds.
Therefore, the correct answer is not provided in the given choices.
The recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips.
Let x represent the number of cups of almonds needed.
The proportion can be set up as:
(1/8) / (3/4) = x / 3
To simplify, we can invert and multiply:
(1/8) * (4/3) = x / 3
1/2 = x / 3
Cross-multiplying, we have:
3 * (1/2) = x
3/2 = x
So, Luis will need approximately 1.5 cups of almonds.
Rounded to the nearest tenth, the answer is 1.5 = 1.5 cups of almonds.
Therefore, the correct answer is not provided in the given choices.
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.
A. 18
B. 0.8
C. 0.5
D. 0.4
A. 18
B. 0.8
C. 0.5
D. 0.4
To determine how many cups of almonds Luis will need, we can set up a proportion based on the given information.
The recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips.
Let x represent the number of cups of almonds needed.
The proportion can be set up as:
(1/8) / (3/4) = x / 3
To simplify, we can invert and multiply:
(1/8) * (4/3) = x / 3
4/24 = x / 3
Cross-multiplying, we have:
24 * x = 4 * 3
24x = 12
Dividing both sides by 24, we find:
x = 12 / 24
x = 0.5
So, Luis will need approximately 0.5 cups of almonds.
Rounded to the nearest tenth, the answer is 0.5 cups of almonds.
Therefore, the correct answer is C. 0.5.
The recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips.
Let x represent the number of cups of almonds needed.
The proportion can be set up as:
(1/8) / (3/4) = x / 3
To simplify, we can invert and multiply:
(1/8) * (4/3) = x / 3
4/24 = x / 3
Cross-multiplying, we have:
24 * x = 4 * 3
24x = 12
Dividing both sides by 24, we find:
x = 12 / 24
x = 0.5
So, Luis will need approximately 0.5 cups of almonds.
Rounded to the nearest tenth, the answer is 0.5 cups of almonds.
Therefore, the correct answer is C. 0.5.
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?
To determine the total amount of borax and washing soda combined that Lenny needs, we need to consider the proportions given in the recipe.
The recipe calls for 2 parts borax, 2 parts washing soda, and 1 part soap flakes. Since Lenny is using 7 cups of soap flakes, we can assume that the "parts" refer to cups as well.
Let's denote the amount of borax needed as B and the amount of washing soda needed as W.
According to the proportions in the recipe:
Borax : Soap flakes = 2 : 1
Washing soda : Soap flakes = 2 : 1
We can set up the following equations:
B / 7 = 2 / 1
W / 7 = 2 / 1
Cross-multiplying, we get:
B = (2/1) * 7 = 14
W = (2/1) * 7 = 14
Therefore, Lenny will need a total of 14 cups (combined) of borax and washing soda.
The recipe calls for 2 parts borax, 2 parts washing soda, and 1 part soap flakes. Since Lenny is using 7 cups of soap flakes, we can assume that the "parts" refer to cups as well.
Let's denote the amount of borax needed as B and the amount of washing soda needed as W.
According to the proportions in the recipe:
Borax : Soap flakes = 2 : 1
Washing soda : Soap flakes = 2 : 1
We can set up the following equations:
B / 7 = 2 / 1
W / 7 = 2 / 1
Cross-multiplying, we get:
B = (2/1) * 7 = 14
W = (2/1) * 7 = 14
Therefore, Lenny will need a total of 14 cups (combined) of borax and washing soda.
Lisa adds 2 tsp baking soda to 6 lbs. of flour. How much baking soda should she add to 9 lbs. of flour?
To determine how much baking soda Lisa should add to 9 lbs. of flour, we can set up a proportion based on the given information.
The ratio of baking soda to flour in the first scenario is 2 tsp to 6 lbs. Let's use this ratio to find out how much baking soda Lisa should add to 9 lbs. of flour.
2 tsp / 6 lbs. = x tsp / 9 lbs.
To solve for x, we can cross-multiply:
(2 tsp) * (9 lbs.) = (6 lbs.) * (x tsp)
18 tsp = 6 lbs. * x tsp
Dividing both sides by 6 lbs.:
18 tsp / 6 lbs. = 6 lbs. * x tsp / 6 lbs.
3 tsp = x
Therefore, Lisa should add 3 tsp of baking soda to 9 lbs. of flour.
The ratio of baking soda to flour in the first scenario is 2 tsp to 6 lbs. Let's use this ratio to find out how much baking soda Lisa should add to 9 lbs. of flour.
2 tsp / 6 lbs. = x tsp / 9 lbs.
To solve for x, we can cross-multiply:
(2 tsp) * (9 lbs.) = (6 lbs.) * (x tsp)
18 tsp = 6 lbs. * x tsp
Dividing both sides by 6 lbs.:
18 tsp / 6 lbs. = 6 lbs. * x tsp / 6 lbs.
3 tsp = x
Therefore, Lisa should add 3 tsp of baking soda to 9 lbs. of flour.
The Answers are:
1. D. 50
2. D. 50
3. C. 0.5
4. D. 28
5. D. 3
(Don't use the bot's answers you will get 3/5 like I did!)
1. D. 50
2. D. 50
3. C. 0.5
4. D. 28
5. D. 3
(Don't use the bot's answers you will get 3/5 like I did!)
Apologies for the confusion in my previous responses. Let's go through each question again to provide the correct answers:
1. 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.
Answer: D. 0.4
2. Carla needs to complete her science homework. She has 20 pages to read and 14 questions to answer. If it takes Carla 10 minutes to read 4 pages, how many minutes will it take her to read the full assignment?
Answer: D. 50
3. 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.
Answer: C. 0.5
4. Lisa adds 2 tsp of baking soda to 6 lbs. of flour. How much baking soda should she add to 9 lbs. of flour?
Answer: D. 28
5. 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?
Answer: D. 3
Thank you for providing the correct answers.
1. 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.
Answer: D. 0.4
2. Carla needs to complete her science homework. She has 20 pages to read and 14 questions to answer. If it takes Carla 10 minutes to read 4 pages, how many minutes will it take her to read the full assignment?
Answer: D. 50
3. 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.
Answer: C. 0.5
4. Lisa adds 2 tsp of baking soda to 6 lbs. of flour. How much baking soda should she add to 9 lbs. of flour?
Answer: D. 28
5. 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?
Answer: D. 3
Thank you for providing the correct answers.