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pickupchik [31]
3 years ago
7

Michael started his first job and was paid $521 per week. Michael’s grandmother gave him $220. Generate an equation in the form

of y = mx + b that can be used to represent the total amount of money Michael has been given or earned in terms of x, number of weeks, and y, the total amount of money Michael received.
Mathematics
1 answer:
lana [24]3 years ago
3 0

Answer:

y=521x+220

Step-by-step explanation:

he makes 521 per week, his income depends on the number of weeks worked.

The 220 is a one time thing, his grandma is not giving his 220 a week.

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AB and CD are parallel find the value of y<br> Show clearly how you got your answers with reasons
Zina [86]

Answer:

y = 167°

Step-by-step explanation:

The vertex of the triangle = 154° ( alternate angle to 154° )

The triangle has 2 equal legs so is isosceles with 2 base angles congruent

base angle = \frac{180-154}{2} = \frac{26}{2} = 13°

base angle and y are adjacent angles, lie on straight line AB and sum to 180°

y + 13° = 180° ( subtract 13° from both sides )

y = 167°

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3 years ago
Is 0.158 greater than 0.58
Juli2301 [7.4K]
No. 0.158 is less than 0.58
4 0
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The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal
Fynjy0 [20]

Answer:

The volume of a single tennis ball is 14.14\ in^{3}

The volume of three tennis balls is 42.42\ in^{3}

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

V=\frac{4}{3}\pi r^{3}

where r is the radius of the sphere

In this problem

r=3/2=1.5\ in

substitute

V=\frac{4}{3}\pi (1.5)^{3}

V=14.14\ in^{3}

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

V=\pi r^{2} h

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

r=3/2=1.5\ in

h=8.4\ in

substitute

V=\pi (1.5)^{2}(8.4)

V=59.38\ in^{3}

Statement

<u>case A)</u> The volume of a single tennis ball is 14.14\ in^{3}

The statement is true

See the procedure in Step 1

<u>case B)</u> The volume of the can is 56.55\ in^{3}

The statement is false

The volume of the can is 59.38\ in^{3} --> see the procedure Step 2

<u>case C)</u> The empty space inside the can is 14.13\ in^{3}

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}

<u>case D)</u> The volume of three tennis balls is 42.42\ in^{3}

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

14.14*3=42.42\ in^{3}

8 0
3 years ago
What is not equivalent to each other 3/15 2/10 1/5 9/45 10/50 6/40 7/35 100/500?
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The answer is 6/40. All the others equal 1/5.
8 0
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C - 7 = 12 :((((((((((((((((((((((((((((((((((((((((((((((((((((((
m_a_m_a [10]
C-7=12
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Then C= 19
4 0
3 years ago
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