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vesna_86 [32]
2 years ago
13

A contractor decides that he can build a house in eight weeks using 5 men. If he employs 3 more men, how long will the job take?

Assume that all the men work at the same rate. ​
Mathematics
1 answer:
Daniel [21]2 years ago
7 0
The answer is 5 weeks
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Mark's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 4 senior tick
erica [24]

The cost of each senior ticket is $ 5 and cost of each child ticket is $ 12

<em><u>Solution:</u></em>

Let "a" be the price of each senior ticket

Let "b" be the price of each child ticket

<em><u>On the first day of ticket sales the school sold 4 senior tickets and 4 child tickets for a to total of 68</u></em>

Thus a equation is framed as:

4 senior tickets x price of each senior ticket + 4 child tickets x price of each child ticket = 68

4 \times a + 4 \times b = 68

4a + 4b = 68 ---------- eqn 1

<em><u>The school took in 120 on the second day by selling 12 senior tickets and 5 child tickets</u></em>

Similarly, we frame a equation as:

12 \times a + 5 \times b = 120

12a + 5b = 120 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 3</u></em>

12a + 12b = 204 -------- eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

12a + 12b = 204

12a + 5b = 120

( - ) --------------

7b = 84

b = 12

<em><u>Substitute b = 12 in eqn 1</u></em>

4a + 4(12) = 68

4a + 48 = 68

4a = 20

a = 5

Thus cost of each senior ticket is $ 5 and cost of each child ticket is $ 12

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3 years ago
Without using a calculator convert the decimal into a fraction<br> 0. 75
mojhsa [17]

Step-by-step explanation:

Decimals can always be put over 1, as they're part of a whole number.

\frac{0.75}{1}

<u>Multiply both numerator and denominator by 100:</u>

<u />\frac{0.75 \times 100}{1\times 100} =\frac{75}{100}

\frac{0.75}{1} \: and \: \frac{75}{100} \: are \: fractions \: of \: 0.75

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Base = 12÷2
= 6

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a^2 = 6^2 + 8^2
a^2 = 100
a = 10 cm
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Step-by-step explanation:

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