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3 years ago

Two numbers are in the ratio of 3:4. If they sum of the numbers is 63, find the numbers

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

6 0

Answer:

27 and 36

Step-by-step explanation:

Let's call the two numbers x and y.

$3x=4y \\\\x+y=63$

If you subtract y from both sides of the second equation, you can isolate x and substitute it into the first equation:

$x=63-y \\\\3(63-y)=4y\\\\189-3y=4y\\\\189=7y\\\\y=27\\\\x=63-27=36$

Hope this helps!

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Calculate the volume of a ball having a radius of 8 cm

34kurt

Answer:

267.9 $cm^{3}$

Step-by-step explanation:

volume of a circle = 4/3 * π * $r^{2}$

=4/3 *3.14 * $8^{2}$

=12.56/3 *64

=803.84/3

=267.94

=267.9 $cm^{3}$

3 0

3 years ago

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.

4 0

3 years ago

Bethany knits hats and scarves. A hat takes her 1.5 days, and a scarf takes her 4 days. Bethany recently spent 18 days knitting

zvonat [6]

The answer would be B.

7 0

3 years ago

A line goes through points (0, 3) and (6, 12). What would be the slope of this line's perpendicular bisector?

Leto [7]

Answer:

the slope of the perpendicular bisector is -2/3

Step-by-step explanation:

The slope of the line joining the two points P1(0,3), P2(6,12) is given by

m1 = (y2-y1) / (x2-x1) = (12-3) / (6-0) = 9/6 = 1.5

The slope m2 of a line perpendicular to the previous line is given by

m1*m2 = -1

solving

m2 = -1/m1 = -1/ (3/2) = -2/3

THerefore the slope of the perpendicular bisector is -2/3

3 0

3 years ago

In the diagram, CE=12 units and BE=5 units.

LekaFEV [45]

Answer:

AE = CE —> identical

So ; AE= 12 units

I hope I helped you^_^

4 0

3 years ago