C. None of the engines are defective.
Let his total money be x.
He spent (3/7)*x of his money.
He gave 1/4(x-3/7x) to his sister.
which is : (1/4)*(4/7)*x = (1/7)*x
Now,
How much money he have in the beginning =
(3/7)*x+(1/7)*x+120=x
(4/7)*x+120=x
120=x-(4/7)*x
120=(3/7)*x
x=120*7/3 [cross multiplication]
x=280.
So, Alex had $280 in the beginning.
Answer:
k=13.8
Step-by-step explanation:
Given function:
- 2.5k+47.4=81.9
- to find k..
<u><em>Subtract final and middle value:</em></u>
<em><u>Divide by 2.5:</u></em>
Therefore, k=13.8..
Answer:
The angles are <u>155°</u> and <u>25°</u>.
Step-by-step explanation:
Given:
Two supplementary angles are in the ratio of 31:5.
Now, to find the angles.
The sum of two supplementary angles = 180°
Let the ratio of the angles be
.
So, according to question:


<em>Dividing both sides by 36 we get:</em>

So, 
And, 
Therefore, the angles are 155° and 25°.
Make them all have the same denominator
32
25+12 16/32+488/32+124/32+38/32+25/32
Add all of the numerators... to get 691/32+1184/32
1875/32
Simplify to get 58 19/32