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Rzqust [24]
3 years ago
9

Solve for y then plug in (-12) for x. Show work please. x = 24 + xy

Mathematics
1 answer:
Basile [38]3 years ago
3 0
X=24+xy
have to get y alone so subtract 24 from both sides
x-24=xy
divide both sides by x to get y alone
(x-24)/x=y
Now we need to plug in the -12
(-12-24)/-12=y
We need to simplify inside the parentheses before we divide
-36/-12=y
Now simplify the left to get your answer
3=y
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Vladimir79 [104]

Answer: e) 6

Step-by-step explanation:

Let x be mother + children = 18

Father's age = 38

Average age of the family = 14

38 + 18x /( x + 1 )= 14

Opening the bracket

38 + 18x = 14x + 14

Collecting like terms

24 = 4x

x = 6

no of children in the family is 6.

3 0
3 years ago
Beverley has quarters and dimes in her pocket. She has 21 coins with a total value of $3.00. How many of each type of coin does
kondaur [170]

Answer:

Step-by-step explanation:

If all 21 coins were dimes, she'd have $2.10. But she has 90 more cents than that. Now for each coin that's a quarter, not a dime, she has 15 cents more. 90/15= 6. So there are 6 quarters, and 21-6 = 15 dimes.

Now we do it backwards to see if it's right. 6 quarters is $1.50, 15 dimes is $1.50, add those together and you get $3. So it's right. 6 quarters, 15 dimes.

6 0
2 years ago
A group of twelve friends went bowling. The regular price was $8.00. The bowling alley offered a discount price of $6.00 to coll
olga2289 [7]

Answer:

x = friends that paid discount price = 8

y = friends that paid regular price = 4

Step-by-step explanation:

Let

x = friends that paid discount price

y = friends that paid regular price

x + y = 12 (1)

6x + 8y = 80 (2)

From (1)

x = 12 - y

Substitute x = 12 - y into (2)

6x + 8y = 80 (2)

6(12 - y) + 8y = 80

72 - 6y + 8y = 80

- 6y + 8y = 80 - 72

2y = 8

y = 8/2

y = 4

Substitute y = 4 into (1)

x + y = 12 (1)

x + 4 = 12

x = 12 - 4

x = 8

x = friends that paid discount price = 8

y = friends that paid regular price = 4

4 0
3 years ago
How can $54,000 be invested part at 8% annual simple Interest and the remainder at 10% annual simple interest so that the intere
Nastasia [14]

Answer:

0.08x = $5400-0.1x Add 0.1x to both sides of the equation.

0.18x = $5400 Divide both sides by 0.18

x = $3000 and $54000-$3000 = $24000

$3,000 is invested at 8%

$2,400 is invested at 10%

Step-by-step explanation:

3 0
3 years ago
Find the sum of 2x+1 and 5x
aliya0001 [1]

Hey!

This could be rewritten as:

2x + 1 + 5x

We can add like terms together:

7x + 1

5 0
3 years ago
Read 2 more answers
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