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2 years ago

12

It would take an apprentice house painter 1.5h longer than his supervisor to paint an apartment. If they work together they can

complete the job in 4 hr. About how long would it take the apprentice to complete the job working alone?

1 answer:

never [62]2 years ago

4 0

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Find two consecutive even numbers such that the difference of one-half the larger and two-fifths the smaller is equal to 38

expeople1 [14]

EXPLANATION

The consecutive even numbers are
$370 \: and \: 372$

EXPLANATION

Let
$x$
be the first even number then, the next even number will be,

$x + 2$

The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,

$\frac{1}{2} (x + 2) - \frac{2}{5} x = 38$

We multiply through with an LCM of 10 to get,

$10 \times \frac{1}{2} (x + 2) - 10 \times \frac{2}{5} x = 38 \times 10$

This simplifies to,

$5(x + 2) - 4x = 380$

We expand the brackets to get,

$5x + 10 - 4x = 380$

We group like terms to get,

$5x - 4x = 380 - 10$

This simplifies to
$x = 370$

Therefore the next even number is is
$372$

6 0

2 years ago

At a school number of boys : number of girls = 11 : 9

aliya0001 [1]

Ok, so 11:9
11-9 = 2
which means that 124= 2:1
124/2 = 62
so 62:0
now 11 x 62= 682
9 x 62= 558

so the ratio is 682:558
now 682 + 558 = 1,240
There are 1,240 total students in the school. 682 boys and 558 girls

8 0

2 years ago

Item: c = p(1 + ). What is the final cost of a $40 item after an 8% tax is applied?

Snowcat [4.5K]

40(0.08) = 3.2

3.2+40

Answer: 43.20

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2 years ago

What is the length of this rectangular prism?Is it 5 or 3 or 6 or 2

vesna_86 [32]

We can't see the rectangular prism...

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2 years ago

1. 7(6-(-4))<br> What is this I don’t know

Marina CMI [18]

So you would start with removing the parentheses so 6- - 4 would be 6+4 because the double negative and then that would be 10 so 7 times 10 so your answer is 70

5 0

2 years ago

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