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Cerrena [4.2K]
3 years ago
7

Can u answer number 20 only pls with explaining

Mathematics
1 answer:
densk [106]3 years ago
6 0

\text{Hello there!}\\\\\text{To find your average, you would add all of the numbers together, then}\\\text{divide by how many there are}\\\\\text{The times are: 1.23, 1.04, and 1.18}\\\\\text{Add them together and divide by 3}\\\\1.23+1.04+1.18=3.45\\\\3.45\div3=1.15\\\\\boxed{\text{Average time: 1.15 minutes}}

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Please help ! 20 pts please
Ksenya-84 [330]

The given ratios expresses the number of time a value is larger or smaller

than another value.

The correct responses are;

  • 3. <u>(B) 12 and 24</u>
  • 4. <u>(D) 6, 9, 21</u>
  • 5. \underline{(E) \ \displaystyle  \frac{11}{2}}
  • 6. \underline{(E) \ \displaystyle \frac{5}{14}}
  • 7. (B) \overline{EF} =<u> 6</u>, \overline{AC} = <u>9·√5</u>
  • 8. <u>(C) The values are equal</u>
  • 9. <u>(A) The value in column A is greater</u>

Reasons:

3. Given that the perimeter of the rectangle = 72

The ratio of the lengths of the sides = 1:2

Let <em>a</em> and <em>b</em> represent the sides, we have;

2·a + 2·b = 72

\displaystyle \frac{a}{b} = \mathbf{\frac{1}{2}}

Which gives;

2·a = b

2·a + 2·(2·a) = 72

6·a = 72

a = 72 ÷ 6 = 12

b = 2·a = 2 × 12 = 24

The lengths of the sides are; <u>(B) 12 and 24</u>

4. Extended ratio = 2:3:7

The perimeter = 36

The lengths of the sides are;

\displaystyle \frac{2}{2 + 3 + 7} \times 36 = \mathbf{6}

\displaystyle \frac{3}{2 + 3 + 7} \times 36 = \mathbf{9}

\displaystyle \frac{7}{2 + 3 + 7} \times 36 = \mathbf{21}

The lengths are; <u>(D) 6, 9, 21</u>

5. The given equation is presented as follows;

\displaystyle \frac{5}{x + 7} = \mathbf{\frac{3}{x + 2}}

5 × (x + 2) = 3 × (x + 7)

5·x + 10 = 3·x + 21

5·x - 3·x  = 21 - 10

2·x = 11

\displaystyle x = \mathbf{ \frac{11}{2}}

The correct option is; \displaystyle \underline{(E) \ \frac{11}{2}}

6. The width to length ratio is \displaystyle \mathbf{\frac{2.5}{7.0}}

The simplified ratio is therefore;

\displaystyle \frac{2.5}{7.0} =  \frac{2 \times 2.5}{2 \times 7.0} =  \mathbf{\frac{5}{14}}

The correct option is (E) \displaystyle \underline{(E) \ \frac{5}{14}}

7. The given ratio of the lengths is 3:1

Therefore;

\overline{BC}:\overline{EF} = 3:1

Which gives;

\displaystyle \mathbf{\frac{\overline{BC}}{\overline{EF}}} = \frac{3}{1}

\overline{BC} = 18

Therefore;

\displaystyle \frac{18}{\overline{EF}} = \frac{3}{1}

18 × 1 = 3 × \overline{EF}

\displaystyle \overline{EF} = \frac{18 \times 1}{3} = 6

\overline{EF} = 6

By Pythagorean theorem, we have;

\overline{DF}² = \mathbf{\overline{DE}}² + \mathbf{\overline{EF}}²

Which gives;

\overline{DF}² = 3² + 6² = 45

\overline{DF} = √(45) = 3·√5

Using the given ratio, we have;

\overline{AC} = 3 × \mathbf{\overline{DF}}

Which gives;

\overline{AC} = 3 × 3·√5 = 9·√5

\overline{AC} = 9·√5

The correct option is; (B) \overline{EF} =<u> 6</u>, \overline{AC} = <u>9·√5</u>

8. EF = 1, AB = 2

CD = 2, CE = 4

Therefore;

\displaystyle \mathbf{\frac{EF}{AB}} =\frac{1}{2}

\displaystyle \mathbf{\frac{CD}{CE}} =\frac{2}{4} = \frac{1}{2}

Which gives;

\displaystyle \frac{EF}{AB} =\displaystyle \mathbf{\frac{CD}{CE}}

<u>(C) The values are equal</u>

9. AC = 6, BE = 8

DF = 3, BD = 6

Column A

\displaystyle \frac{AC}{BE} =\displaystyle \mathbf{\frac{6}{8}} = \frac{3}{4}

Column B

\displaystyle \frac{DF}{BD} =\displaystyle \mathbf{\frac{3}{6}} = \frac{1}{2}

\displaystyle \frac{3}{4} > \mathbf{\frac{1}{2}}

Therefore;

Column A is greater than column B

<u>(A) The value in column A is greater</u>

Learn more about ratios here:

brainly.com/question/2774839

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Answer:

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