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3 years ago

John J. Parker worked 44 hours this week. He gets time-and-a-half for any hours beyond 40.

Mathematics

1 answer:

Pepsi [2]3 years ago

5 0

Answer:

He worked 40 regular hours.

He 4 hours beyond 40.

He worked 40 + 4(1.5) = 40 + 6 = 46 adjusted hours

Step-by-step explanation:

John worked 44 hours and a regular work week is 40 hours. This means John worked 40 regular hours plus 4 hours over time. He receives time and a half or 1.5 for each hour over 40.

So 40 + 4(1.5) = 40+6=46 adjusted hours.

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A signal can be formed by running different colored flags up a pole, one above the other. Find the number of different signals c

DochEvi [55]

there should be 16 different signals that can be made!

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3 years ago

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The aspect ratio of a TV screen is the ratio of the horizontal length to the vertical height. If the TV has a diagonal of 100 cm

Sati [7]

Answer:

The horizontal length is 80 cm, and the vertical height is 60 cm.

Step-by-step explanation:

The aspect ratio is the ratio of the horizontal length to the vertical height.

We have a rectangle with sides 4 and 3. We can find the length of the diagonal.

We can use the Pythagorean theorem to find the length of the diagonal.

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

c^2 = 25

c = 5

The diagonal is 5 in the ratio.

The ratio of the horizontal length to the vertical height to the diagonal is

4:3:5

We multiply all the numbers in the ratio by the same unknown, x.

A ratio of 4:3:5 is the same as a ratio of 4x:3x:5x.

We are told that the diagonal is 100 cm, so we have

4x : 3x : 100,

but we already had a ratio of

4x : 3x : 5x, so

5x = 100, and we can find x.

5x = 100

Divide both sides by 5.

x = 20

Since x = 20, then the horizontal length 4x = 4(20) = 80,

and the vertical height 3x = 3(20) = 60

Answer: The horizontal length is 80 cm, and the vertical height is 60 cm.

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3 years ago

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HELP PLEASE

OLEGan [10]

Answer:

Point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.

Step-by-step explanation:

It is given that the radius of the cylinder is 4 units and the height of the cylinder is 4 units.

The volume of the cylinder is

$V=\pi r^2h$

Where, r is radius and h is height of the cylinder.

Substitute r=4, h=4, π=3.14 in the above formula.

$V=(3.14)\times (4)^2\times (4)$

$V=200.96$

The volume of the cylinder is 200.96. Therefore, point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.

3 0

4 years ago

If (x-2) is a factor of x^3 + bx^2 - 4 , what is the value of b?

REY [17]

Answer:

b= -1

Step-by-step explanation:

Step 1: Find out value of x

x-2 = 0

x= 2

Step 2: Substitute value of x in the equation

x^3 + bx^2- 4 = 0

(2)^3 + b (2)^2 - 4 = 0

8 + 4b - 4=0

4 - 4b = 0

4b = -4

b = -1

4 0

3 years ago

Still don’t get it idk lol

KonstantinChe [14]

Answer:

XQ = 12

Step-by-step explanation:

In this question it asks for XQ instead of x, but you need to find x first.

1. Find x.

XQ is half of MQ so this statement is true: 3x - 3 = 2(2x - 6)

Solve for x.

3x - 3 = 2(2x - 6)

Distribute 2.

3x - 3 = 4x - 12

Isolate x.

3x = 4x - 9

-x = -9

Divide -1 out.

x = 9

Now solve for XQ, which the equation is given.

XQ = 2(9) - 6

XQ = 18 - 6

XQ = 12

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3 years ago

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