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3 years ago

Find a number such that one-half of the number is 9 less than two-thirds of the number

1 answer:

3 0

Let's say, the number is "a"
thus $\bf \cfrac{1}{2}a=\cfrac{2}{3}a-9\implies \cfrac{a}{2}=\cfrac{2a}{3}-9\implies \cfrac{a}{2}=\cfrac{2a-27}{3}$

cross-multiply and solve for "a"

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Equation 1: 5x + 3y=8 equation 2: 4x + 7y= 34 9x-10y=42 true

jarptica [38.1K]

Answer:

true

Step-by-step explanation:

5x + 4x = 9x

3y + 7y = 10y

8 + 34 = 42

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2 years ago

Read 2 more answers

Number 19 please and thank you.

krok68 [10]

Answer: Sir/Ma´am/Person, it doesnt show.

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2 years ago

Timothy is an hourly employee and he can work maximum of 40 hours in a week. If the weekly salary depends on the number of hours

Gennadij [26K]

Answer:

Step-by-step explanation:

0 ≤ h ≤ 40, h ∈ R

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1 year ago

The length of a rectangular mailing

anygoal [31]

ANSWER

Let the width be y

2(L + W) = Perimeter

2(2y - 5cm + y) = 62cm

(2×2y) + (2×-5cm) + (2×y) = 62cm

4y + - 10cm + 2y = 62cm

4y - 10cm + 2y = 62cm

4y + 2y - 10cm = 62cm

6y - 10cm + 10cm = 62cm + 10cm

6y = 72cm

6 6

y = 12cm

WIDTH

= y

= 12cm

LENGTH

= 2y - 5cm

= 2×y - 5cm

= 2×12cm - 5cm

= 24cm - 5cm

= 19cm

Providence

19cm + 19cm + 12cm + 12cm = 62cm which is the perimeter

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2 years ago

Ned has a coupon for one fourth off the cost of any item. Today all items are on sale for one third off. Does it matter whether

Aleksandr [31]

Answer:

Step-by-step explanation:

Let the cost of the item is C.

Case I :

first sale is applied

so, the price of item = one third = C - C/3 = 2C/3

Now coupon is applied

so, the price of item = $\frac{2C}{3}-\frac{1}{4}\times \frac{2C}{3}$ = C/2

case II :

First coupon is applied

so, the price of item = C - C/4 = 3C/4

Now sale is applied

the price of item = $\frac{3C}{4}-\frac{1}{3}\times \frac{3C}{4}$ = C/2

So, it does not matter that either coupon is applied first or the sale is applied first the final cost of the item remains same.

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3 years ago