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AnnZ [28]
3 years ago
14

9. Which of the following is the value of x in the solution to the

Mathematics
1 answer:
vladimir1956 [14]3 years ago
4 0

Hi there,

9. Which of the following is the value of x in the solution to the

system of equations given below?

8 + 2x = 5y  (1)

4x - y = 2  (2)

▪ (1)

y = ( 8 + 2x ) ÷ 5

▪ (2)

4x - [( 8 + 2x ) ÷ 5] = 2

( 20x - 8 - 2x ) ÷ 5 = 2

20x - 8 - 2x = 2 × 5

20x - 2x = ( 2 × 5 ) + 8

18x = 10 + 8

18x = 18

x = 18 ÷ 18

x = 1

The answer is : A. 1

•It was nice to help you, SkullNoggin!

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Allison has 6 blue pencils and 10 yellow pencils.sadie has 24 pencils that are either blue or yellow.the ratio of blue pencils t
sammy [17]
6 (Allison's number of blue) divided by 16 (Allison's total) is equal to x (Sadie's blue) out of 24 (Sadie's total).
So 6/16=3/8=x/24. So x=3*3, so Sadie's amount of blue pencils is 9. The rest of Sadie's pencils are yellow, so Sadie has 24-9=15 yellow pencils.
3 0
3 years ago
Read 2 more answers
Hezekiel runs 1000 m at a rateof 3 minutes per km. how long does he take to run 500 m​
lana66690 [7]

Step-by-step explanation:

1 km = 1000 m

(hence the term "kilo" which means 1000).

so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.

now, we can see the solution already with our eyes.

but let's do it formally :

the rate or ratio between time and distance must be the same for the same speed.

so,

3 min / 1000 m = x min / 500 m

500 m × 3 min / 1000 m = x min

1/2 × 3 min = x min

3/2 = 1.5 min = x min

so, it takes him 1.5 minutes (90 seconds) to run 500 m.

3 0
2 years ago
Equity in your home = fair market value - outstanding balance. If your home is worth $125,000 and you have an outstanding balanc
mamaluj [8]

Answer:

89,000 I think

Step-by-step explanation:

just subtract 125,000 by 36,000

although Its a guess

8 0
3 years ago
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Boris choos three diffrent numbers.the sum of the three numbers is 36.One of trh numbers is a cube number.the other two number a
inna [77]

Answer:

4,5,27

Problem:

Boris chose three different numbers.

The sum of the three numbers is 36.

One of the numbers is a perfect cube.

The other two numbers are factors of 20.

Step-by-step explanation:

Let's pretend those numbers are:

a,b, \text{ and } c.

We are given the sum is 36: a+b+c=36.

One of our numbers is a perfect cube. a=n^3 where n is an integer.

The other two numbers are factors of 20. bk=20 and ci=20 where a,c,i, \text{ and } k \text{ are integers}.

n^3+\frac{20}{k}+\frac{20}{i}=36

From here I would just try to find numbers that satisfy the conditions using trial and error.

3^3+\frac{20}{2}+\frac{20}{2}

27+10+10

47

3^3+\frac{20}{4}+\frac{20}{5}

27+5+4

36

So I have found a triple that works:

27,5,4

The numbers in ascending order is:

4,5,27

4 0
3 years ago
A spool with 18 feet of ribbon will be cut into 8-inch segments. how many 8-inch segments can be cut from the spool of ribbon?
Kobotan [32]

Answer:

27

Step-by-step explanation:

First, we convert 18 ft to inches.

18 × 12 in. = 216 in.

Now we divide 18 ft written as 216 in. by 8 in.

216 in. / 8 in. = 27

Answer: 27

4 0
2 years ago
Read 2 more answers
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