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3 years ago

An office clerk earns $120 for two 4 hour shifts. How much will she earn for 15 hours of work

Mathematics

2 answers:

Lilit [14]3 years ago

7 0

$215 Hope this helped

sergejj [24]3 years ago

6 0

I think it might be 900 becuase if you break 120 into a smaller number and multiply it by 15 its 900.

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If one inch represents 12 feet, what dimensions would you use to make a scale drawing of a building 75 by 80 feet

viva [34]

Answer:

Step-by-step explanation:

12 feet is one inch so you times the numbers 75x12 and 80x12. 900+960=864000.

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4 years ago

Find the volume of the prism.<br> H-8cm L-12cm W-6cm

babymother [125]

Answer:

Step-by-step explanation:

Let’s break this apart.

Box= 12cm x 8cm x 6cm

Cube= 2cm x 2cm x 2cm

How many cubes fit in the box?

calculate the volume of the box. To do this, multiply the length by the width by the height (L x W x H)

12 x 8 x 6 = 576cm cubed

2. Calculate the volume of the cube. Once again we multiply L x W x H

2 x 2 x 2 = 8cm cubed

3. Next we divide the volume of the box by the volume of the cube

576 / 8 = 72 cubes

Therefore, it would take 72 cubes to fill a box.

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3 years ago

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How to solve -2(t-4)=10-2t

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This is how to solve this problem :)

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3 years ago

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A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40

malfutka [58]

PART A

The given equation is

$h(t) = - 16 {t}^{2} + 40t + 4$

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4$

We add and subtract

$- 16(- \frac{5}{4} )^{2}$

to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4$

We again factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4$

This implies that,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4$

The quadratic trinomial above is a perfect square.

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4$

This finally simplifies to,

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29$

The vertex of this function is

$V( \frac{5}{4} ,29)$

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

$29$

PART B

When the ball hits the ground,

$h(t) = 0$

This implies that,

$- 16 ( t- \frac{5}{4}) ^{2} +29 = 0$

We add -29 to both sides to get,

$- 16 ( t- \frac{5}{4}) ^{2} = - 29$

This implies that,

$( t- \frac{5}{4}) ^{2} = \frac{29}{16}$

$t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }$

$t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}$

$t = \frac{ 5 + \sqrt{29} }{4} = 2.60$

or

$t = \frac{ 5 - \sqrt{29} }{4} = - 0.10$

Since time cannot be negative, we discard the negative value and pick,

$t = 2.60s$

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3 years ago

The perimeter of a rectangular painting is 290cm. If the length of the painting is 88cm , what is its width?

zubka84 [21]

Answer:

57.

Step-by-step explanation:

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3 years ago

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