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2 years ago

Can someone help this is distributive property?

Mathematics

1 answer:

forsale [732]2 years ago

5 0

Answer:

thanks for the points

Step-by-step explanation:

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A company manufactures skateboards. Each skateboard requires 1 6/7 hours of labor to assemble and 2 1/2 hours of labor to finish

Assoli18 [71]

Answer: The total cost will be $156.85.

Step-by-step explanation:

Since we have given that

Time taken by labor to assemble the each skateboard is given by

$1\frac{6}{7}\ hours\\\\=\frac{13}{7}\ hours$

Time taken by labor to finish and stain each skateboard is given by

$2\frac{1}{2}\ hours\\\\=\frac{5}{2}\ hours$

Cost of labour to the company per hour = $36.00

According to question,

We will use "Distributive Property":

$a\times (b+c)=a\times b+a\times c$

$36(\frac{13}{7}+\frac{5}{2})\\\\=36\times \frac{13}{7}+36\times \frac{5}{2}\\\\=\frac{468}{7}+18\times 5\\\\=\frac{468}{7}+90\\\\=\frac{468+630}{7}\\\\=\frac{1098}{7}\\\\=\$156.85$

Hence, the total cost will be $156.85.

5 0

3 years ago

Convert 8^12 = 3x - 5 to corresponding logarithmic function.

julia-pushkina [17]

Answer:

Step-by-step explanation:

$8^{12}=3x-5\quad :\quad x=\frac{8^{12}+5}{3}\quad \left(\mathrm{Decimal}:\quad x=22906492247\right)$

$8^{12}=3x-5\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\3x-5+5=8^{12}+5\\Simplify\\\mathrm{Divide\:both\:sides\:by\:} 3\\\frac{3x}{3}=\frac{8^{12}}{3}+\frac{5}{3}\\\mathrm{Simplify}\\x=\frac{8^{12}+5}{3}$

6 0

2 years ago

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Sofia hits a softball straight up. the equation h= -16t^2 + 90t models the height h, in feet, of the ball after t seconds. How l

andrezito [222]

It is in the air 5.625 seconds.

Using the quadratic formula,

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}
\\
\\=\frac{-90\pm \sqrt{90^2-4(-16)(0)}}{2(-16)}
\\
\\=\frac{-90\pm \sqrt{8100-0}}{-32}
\\
\\=\frac{-90\pm \sqrt{8100}}{-32}=\frac{-90\pm90}{-32}
\\
\\=\frac{-90+90}{-32}\text{ or }\frac{-90-90}{-32}=\frac{0}{32}\text{ or }\frac{-180}{-32}
\\
\\=0\text{ or }5.625$

0 is when the ball is first launched, 5.625 is when it hits the ground again.

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3 years ago

PQR is a right-angled triangle.

ICE Princess25 [194]

Step-by-step explanation:

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3 years ago

How does the y-intercept appear in these three representations: table,equation,and graph?

devlian [24]

In a table it's EXAMPLE: Cars/Drivers the cars is x and the drivers is y(y-intercept). In an equation, EXAMPLE using y=mx+b the b is the y-int., and in a graph it is (x,y) the y being the y-int.

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3 years ago

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