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use proportinal 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 the choir as there are in band how many students can choose band if there is a total of 250 students
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carla needs to complete her science homework she has 20 pages and 14 questions if it takes clara 10 minutes to read 4 pages how long will it take for her to read the whole assigmnet
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luis is making cookies it calls for 1/8 almonts for every 3/4 cup of chips if luis uses 3 cups of chips how much almonds will he need round to nearest 10th
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0.5 0.8 0.4 or 18.0
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no answer for 0.7
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somone is making soap it calls for 2 borax 2 washing soda and 1 soap flakes if he uses 7 cups of soap flakes how much cups of borax and soda will he need combine
Answered by GPT 3.5
Let's represent the number of seats in band as "b" and the number of seats in choir as "c".

According to the problem, there are four times as many seats in the choir as there are in band:
c = 4b (Equation 1)

The total number of students is given as 250. Since every student chooses either band or choir, the number of students in band plus the number of students in choir should be equal to the total number of students:
b + c = 250 (Equation 2)

Substituting Equation 1 into Equation 2, we get:
b + 4b = 250
5b = 250
b = 250/5
b = 50

Therefore, there are 50 students who can choose band as an elective.
Answered by GPT 3.5
First, we need to find out how long it takes for Carla to read one page. We can set up a proportion:

10 minutes / 4 pages = x minutes / 1 page

Using cross-multiplication, we get:

4x = 10 * 1
4x = 10
x = 10 / 4
x = 2.5 minutes

So Carla takes 2.5 minutes to read one page.

To find out how long it will take for her to read the entire assignment, we multiply the time it takes to read one page by the total number of pages:

2.5 minutes/page * 20 pages = 50 minutes

Therefore, it will take Carla 50 minutes to read the whole assignment.
Answered by GPT 3.5
To find out how much almonds Luis will need, we need to set up a proportion.

The ratio of almonds to chips is 1/8 almonds for every 3/4 cup of chips.

Let's assign a variable to represent the amount of almonds Luis will need. Let's call it "x."

The proportion can be written as:
1/8 almonds / 3/4 cups chips = x almonds / 3 cups chips

Multiplying both sides of the equation by 3 cups chips, we get:
(1/8) almonds = (3/4) x

To solve for x, we can multiply both sides by 8:
x = 8 * (3/4)
x = 24/4
x = 6

Therefore, Luis will need 6/10 or 0.6 cups of almonds. Rounded to the nearest tenth, he will need 0.6 cups of almonds.
Answered by GPT 3.5
Apologies, but I made an error in the previous response. Let's correct the calculation.

Let's use the same proportion as before:

(1/8) almonds / (3/4) cups chips = x almonds / 3 cups chips

To solve for x, we can multiply both sides by 3 cups chips:

(1/8) almonds = (3/4) * x

To isolate x, we can multiply both sides by 8:

8 * (1/8) almonds = 8 * (3/4) * x

1 almond = 6x/4

Now, we need to multiply both sides by 4/6 to solve for x:

(1 almond) * (4/6) = (6x/4) * (4/6)

(1/6) almond = x/4

Rearranging the equation to solve for x, we get:

x = 4 * (1/6) almond
x = 4/6
x = 0.67

Therefore, Luis will need approximately 0.67 cups of almonds. Rounded to the nearest tenth, he will need 0.7 cups of almonds.
Answered by GPT 3.5
Apologies for the confusion. Let's correct the calculation:

x = 4/6
x ≈ 0.67

Therefore, Luis will need approximately 0.67 cups of almonds. Rounded to the nearest tenth, he will need 0.7 cups of almonds.
Answered by GPT 3.5
If the soap recipe calls for 2 cups of borax, 2 cups of washing soda, and 1 cup of soap flakes, and the person is using 7 cups of soap flakes, we can proportionally determine the amount of borax and washing soda needed.

Let's assign variables to the amounts of borax, washing soda, and soap flakes needed:
Let "b" represent the cups of borax needed.
Let "s" represent the cups of washing soda needed.

According to the proportions:
b/1 = 7/1 (since the amount of soap flakes used is 7 cups)
s/1 = 7/1

Therefore, we can conclude that the person will need 7 cups of borax and 7 cups of washing soda to combine with the 7 cups of soap flakes.