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REY [17]
1 year ago
15

If x varies directly as y, and X = 24 when y= 21, Find x when Y=6

Mathematics
1 answer:
Ne4ueva [31]1 year ago
7 0

Answer:

x = 48/7

Step-by-step explanation:

There's two good ways to do this problem.

Option 1:

Translate "x varies directly as y" into the equation y=kx

Then you have to find k. After you "reset" your y=kx equation, fill in k and then solve for x. See image.

Option 2:

Translate "varies directly" into a proportion, which is two fractions equal to each other:

x/y = x/y

Fill in the three numbers given and cross multiply and solve to find the fourth number. See image.

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Solve the systems of equations using substitution. <br> -3x + 2y = 12<br> x = 2y - 8
ankoles [38]

-3(2y-8) + 2y = 12

-4y + 24 = 12

-4y = -12

y=3

x=2(3)-8

x=-2

4 0
3 years ago
Find the circumference of each circle. Use 3.14 or 22/7 for pi!. Round to the nearest hundredth, if necessry
telo118 [61]
Is this Jose Galvan all you have to do is multiply 3.14by your circumference
7 0
3 years ago
You told your friend you could eat 1/3 a large pizza. If you only ate 3/5 of what you said you could, how much pizza did you eat
Vinvika [58]

Answer:

1/5

Step-by-step explanation:

If you only eat 3/5 of 1/3, you ate 3/5 × 1/3.  Multiply fractions straight across the top and straight across the bottom to get 3/15.  That reduces down to 1/5.  So you ate 1/5 of the large pizza.

8 0
3 years ago
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,169 was collected on the sale of 1,325 ticket
eimsori [14]

Answer:

461 adults and 864 students

Step-by-step explanation:

We can set-up a system of equations to find the number of adults. We know students and adults attended. We will let s be the number of students and a be the number of adults. Since 1,325 tickets were purchased, then s+a=1325.

We also know that a total of $3,169 was collected and adult tickets cost $5 each and students cost $1 each. We can write 1s+5a=3169.

We will solve by substituting one equation into the other. We first solve the first equation for s which is s=1325-a. Substitute s=1325-a into 1s+5a=3169. Simplify and isolate the variable a.

1(1325-a)+5a=3169

1325-a+5a=3169

1325+4a=3169

1325-1325+4a=3169-1325

4a=1844

a=461

This means that 461 adults attended and 864 students attended since 864+461=1325.

8 0
3 years ago
1. Andre earns $4000 a month at his new job. In order to track his spending and saving, he created a monthly
QveST [7]

Answer:

If Andre plans on staying within his budget, he should choose Apartment 1.

Step-by-step explanation:

Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly

Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly

Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.

If Andre plans on staying within his budget, he should choose Apartment 1.

5 0
3 years ago
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