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4 years ago

Divide £24 in ratio 3:5

1 answer:

4 0

When i divide into ratio, i like to think of them as units:

so 24 will be divided into units, where the first thing gets 3 units and the second 5 units. In total those are 3+5=8 units.

so each unit will have 24/8=4

so the division into the two numbers is like this: the first one gets 3 units (3*4=12) and the second 5 (5*4=20)
so it's 12:20.

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The pipe fitting industry had 546.5 thousand jobs in 2015 and is expected to decline at an average rate of 3 thousand jobs per y

lesya692 [45]

Answer:

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

Step-by-step explanation:

Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs ( $n$ ) after a certain amount of years (t) is given by the following formula:

$n = n_{o} + \frac{\Delta n}{\Delta t}\cdot t$

Where:

$n_{o}$ - Initial amount of jobs in pipe fitting industry, measured in thousands.

$\frac{\Delta n}{\Delta t}$ - Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)

If $n_{o} = 546.5$ , $t = 2025-2015 = 10\,years$ and $\frac{\Delta n}{\Delta t} = -3\,\frac{1}{years}$ , then:

$n = 546.5+\left(-3\,\frac{1}{year}\right)\cdot (10\,years)$

$n = 516.5$

The percent change in jobs from pipe fitting industry is calculated as follows:

$\%n = \left(1-\frac{n}{n_{o}}\right)\times 100\,\%$

$\% n = \left(1-\frac{516.5}{546.5}\right)\times 100\,\%$

$\%n = 5.5\,\%$

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

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3 years ago

Name an amount that is NOT a solution to the<br> inequality. Explain how you know.

djyliett [7]

answer: 20

in the number line, you can see that the dot on 20 is an open circle. this means that it is not included. so 20 could be one of the answers.

- anything greater than 20 would be an answer.

5 0

4 years ago

What fractions in this list are less than 1/2? 3/6,7/15,4/9,5/8

Vedmedyk [2.9K]

All we need to do is to find a common denominator for both 1/2 and the other numbers individually:

1/2 = 3/6 (so 3/6 is not less than 1/2 - both numbers are equal)
1/2 = 15/30 and 7/15 = 14/30 (so 7/15 is less than 1/2)
1/2 = 9/18 and 4/9 = 8/18 (so 4/9 is less than 1/2)
1/2 = 4/8 (so 5/8 is not less - it's greater than 1/2)

Answer: From the list above only <u>7/15 and 4/9</u> are less than 1/2.

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4 years ago

Unit 3: Parallel & Perpendicular Lines Homework 5: Linear Equations Slope-Intercept & Standard Form

Alona [7]

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3 years ago

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Sedaia [141]

Answer:

I believe the answer is 95.15 %

Step-by-step explanation:

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3 years ago