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nekit [7.7K]
2 years ago
7

If the fraction (352/x-10) is equivalent to -22, find the value of x.

Mathematics
1 answer:
Tcecarenko [31]2 years ago
6 0

Answer:

The value of x is -6

Step-by-step explanation:

Let us equate the fraction by its equivalent

∵ \frac{352}{x-10} = -22

→ Multiply both sides by (x - 10) to cancel the denominator of the left side

∴  \frac{352}{x-10}  × (x - 10) = -22 × (x - 10)

∴ 352 = -22(x - 10)

→ Simplify the right side by multiplying -22 by the bracket (x - 10)

∵ 352 = -22(x) - 22(-10)

∴ 352 = -22x + 220

→ Add 22x to both sides

∵ 22x + 352 = -22x + 22x + 220

∴ 22x + 352 = 220

→ Subtract 352 from both sides

∴ 22x + 352 - 352 = 220 - 352

∴ 22x = - 132

→ Divide both sides by 22 to find x

∴ \frac{22x}{22}=-\frac{132}{22}

∴ x = -6

∴ The value of x is -6

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Answer:

a= 18 girls in the class, b= 20 boys and 15 girls, 12 oranges better price.

Step-by-step explanation:

for question a, there are 18 girls in the class, this is how i worked it out:

the ratio of boys to girls is 4:3.

there are 24 boys.

24 is 6 times more than 4.

if boys are 6 times more than the original ratio, we also have to times the amount of girls by 6.

6x3= 18.

for question b i got 20 boys and 15 girls, this is how i did it.

there are 35 students in total.

4:3= boys to girls.

4+3=7

7 goes into 35 five times.

ratio of boys to girls is 4:3 so 5x4 for boys = 20 and 3x5 for girls = 15.

answer= 20 boys and 15 girls.

12 oranges is a better deal, this is how i worked it out.

it is 60 for 12 oranges.

it is 48 for 8 oranges.

12x5= 60 , 8x6=48.

you only have to times 12 by 5 to get it to the price but you have to times 8 by 6 to get it to the price, proving that 12 oranges for 60 is a better deal.

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