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
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.
To determine how much oil Randi will need for 8 gallons of gas, we can use the given ratio of 5 gallons of gas for every 2 gallons of oil.
First, let's find the equivalent ratio for 8 gallons of gas. We can do this by setting up a proportion.
5 gallons of gas / 2 gallons of oil = 8 gallons of gas / x gallons of oil
To find the value of x (the amount of oil), we can cross-multiply:
5 * x = 8 * 2
5x = 16
Now, divide both sides of the equation by 5 to solve for x:
x = 16 / 5
x = 3.2
Therefore, Randi will need 3.2 gallons of oil for 8 gallons of gas.
To find out how much oil Randi will need for 8 gallons of gas, we need to set up a proportion based on the given information.
The mixture requires 5 gallons of gas for every 2 gallons of oil. Let's set up the proportion:
5 gallons of gas / 2 gallons of oil = 8 gallons of gas / x gallons of oil
To solve for x, we can cross-multiply and then divide:
5 * x = 2 * 8
5x = 16
Dividing both sides by 5:
x = 16 / 5
x ≈ 3.2
Therefore, Randi will need approximately 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.
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.
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.
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.
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