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2 years ago

The table shows the time it takes a carpenter to build various pieces of furniture.

Mathematics

1 answer:

makkiz [27]2 years ago

5 0

time taken to make bed = 15.75 hours

time taken to make a coffee table = 6.375 hours

time taken to make a dresser = 9.5 hours

Total time =

$2(15.75) + 6.375 + 3(9.5)$

$= 66.375$

$66 \frac{3}{8}$

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5(x + 8) + x + y; x=3 and y=30

Thepotemich [5.8K]

Plug in 3 for x and 30 for y

5(3 + 8) + 3 + 30

Use PEMDAS

5(11) + 3 + 30

55 + 33

88

88 is your answer

hope this helps

6 0

3 years ago

Read 2 more answers

a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.

satela [25.4K]

Answer:

$t=2.47\ s$

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

$h(t) = h_0 + s_0t -16t ^ 2$

Where $h_0$ is the initial height, $s_0$ is the initial velocity and t is the time in seconds.

We know that the initial height is:

$h_0 = 4.5\ ft$

The initial speed is:

$s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s$

So the equation is:

$h (t) = 4.5 + 37.62t -16t ^ 2$

The ball hits the ground when when $h(t) = 0$

$4.5 + 37.62t -16t ^ 2 = 0$

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

$at^2 +bt + c$

The quadratic formula is:

$t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}$

In this case

$a= -16\\\\b=37.62\\\\c=4.5$

Therefore

$t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}$

$t_1=-0.114\ s\\\\t_2=2.47\ s$

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

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3 years ago

A paint store makes three batches of a color called Sunset Orange using the recipe

Fofino [41]

Answer:

Red (Batch 2): 2

Red (Batch 3): 3

Yellow (Batch 2): 1 1/3

White (Batch 1): 2/6

5 0

3 years ago

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The scale on a map is 1 inch per 150 miles. The map shows the town of Bluebell is 3.5 inches away

Bezzdna [24]

Answer:

525

Step-by-step explanation:

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3 years ago

A Rubik’s cube is 2 inches wide what is the surface area of the cube ?

Sati [7]

The formula to solve for the area of a cube is
A=6a^2
you plug your edge in for the a
A=6(2)^2
A=6(4)
A=24 inches
your surface are would be 24 inches

8 0

3 years ago