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BaLLatris [955]
3 years ago
14

a man spends 1/3 of his wages on food, 1/5 on rent. if he saved the rest what fraction of his wage did he save?

Mathematics
1 answer:
Lynna [10]3 years ago
8 0
Total wages = 1
Food = 1/3
Rent = 1/5
Savings = total wages - food - rent
= 1 - 1/3 - 1/5
= 15/15 - 5/15 - 3/15
= 7/15
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How many computers must the AB Computer Company sell to break even? Let x be the number of computers.
Eduardwww [97]

Answer:

The Company AB must sell 116 computers to break even

Step-by-step explanation:

we have

R(x)=1.5x -----> equation A

C(x)=145+\frac{1}{4}x ----> equation B

where

C is the cost function

R is the revenue function

x is the number of computers sold

we know that

Break even is when the cost is equal to the revenue

so

equate equation A and equation B

1.5x=145+\frac{1}{4}x

Solve for x

subtract 1/4x both sides

1.5x-\frac{1}{4}x=145

1.5x-0.25x=145

1.25x=145

Divide by 1.25 both sides

x=116

therefore

The Company AB must sell 116 computers to break even

7 0
3 years ago
Two angle measures of a triangle are 62° and 28°. What is the measure of the third angle?
SOVA2 [1]
The third angle would measure 90 degrees
5 0
3 years ago
A) x³y²if x = 2 and y = 4
kow [346]

Answer:

128

Step-by-step explanation:

x³y²if x = 2 and y = 4

x³*y²

(2)^{3} * (4)^{2}

(2*2*2)*(4*4)

(8)*(16)

128

8 0
1 year ago
BRAINLIESTTT ASAP! PLEASE HELP ME :)<br> thanks!
Fynjy0 [20]

The answer is [ yes; ΔABC ~ ΔFGH by SAS Similarity ]

SAS Similarity states that two triangles have congruent corresponding angles and the corresponding sides have an identical ratio

The angle measure aren't given but the angles look to be the same.

To find the scale factor, divide.

12 / 8 = 1.5

15 / 10 = 1.5

The corresponding sides have an identical ratio.

This proves that option B is correct.

Best of Luck!

3 0
3 years ago
Read 2 more answers
Use the laplace transform to solve the given initial-value problem. y' − 2y = (t − 4), y(0) = 0
yulyashka [42]

Using the Laplace transform, the value o y' − 2y = (t − 4), y(0) = 0 is⇒y(t) = 0 e^-t + u(t -1)e^1-t

Laplace rework is an critical rework approach that is in particular useful in fixing linear normal equations. It unearths very huge applications in  regions of physics, electrical engineering, control optics, arithmetic and sign processing.

y' − 2y = (t − 4),

y(0) = 0

Taking the Laplace transformation of the differential equation

⇒sY(s) - y (0) + Y(s) = e-s

⇒(s + 1)Y(s) = (0+ e^-s)/s + 1

⇒y(t) = L^-1{0/s+1} + {e ^-s/s + 1}

⇒y(t) = 0 e^-t + u(t -1)e^1-t

The Laplace remodel method, the feature within the time area is transformed to a Laplace characteristic within the frequency domain. This Laplace feature will be inside the shape of an algebraic equation and it can be solved easily.

Learn more Laplace transformation here:-brainly.com/question/14487437

#SPJ4

4 0
1 year ago
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