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pickupchik [31]
2 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]2 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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Please show work for both problems
sukhopar [10]

(1) The value of x is 25

(2) The measure of ∠CBD is 60°

Explanation:

(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.

Thus, we have,

5x+15=6x-10

Subtracting 5x from both sides, we have

15=x-10

Adding 10 to both sides , we have,

25=x

Thus, the value of x is 25.

(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°

Since, these two angles are supplementary angles and supplementary angles add upto 90°

Thus, we have,

2x+14+x+7=90

Simplifying, we get,

3x+21=90

       3x=69

         x=23

Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

2x+14=2(23)+14=46+14=60

Thus, the measure of ∠CBD is 60°

5 0
3 years ago
Three friends fill bags with trash at a neighborhood cleanup. Randall's bag weighs
BabaBlast [244]

Answer:

Randall picks up 68 pounds

Seth picks up 40 pounds

Joanna picks up 52 pounds

Step-by-step explanation:

Let us make an equation in x to find it

∵ Randall's bag weighs  3x - 7 pounds

∵ Joanna's bag weighs  2x + 2 pounds

∵ Seth's bag weighs 2x - 10 pounds

∵ Randall's and Joanna's bags weigh 3 times as much as  Seth's bag

- That means add Randall's bag and Joanna's bag and equate

    the sum by 3 times Seth's bag

∵ Randall's bag + Joanna's bag = 3(Seth's bag)

∴ (3x - 7) + (2x + 2) = 3(2x - 10)

- Simplify the two sides

∴ (3x + 2x) + (-7 + 2) = 3(2x) - 3(10)

∴ 5x + (-5) = 6x - 30

∴ 5x - 5 = 6x - 30

- Add 5 to both sides

∴ 5x = 6x - 25

- Subtract 6x from both sides

∴ -x = -25

- Divide both sides by -1

∴ x = 25

Substitute x by 25 in the weight of each bag

∵ Randall's bag weighs = 3(25) - 7 = 75 - 7

∴ Randall's bag weighs = 68 pounds

∵ Seth's bag weighs = 2(25) - 10 = 50 - 10

∴ Seth's bag weighs = 40 pounds

∵ Joanna's bag weighs  = 2(25) + 2 = 50 + 2

∴ Joanna's bag weighs  = 52 pounds

7 0
3 years ago
Read 2 more answers
Is 3/4y=9 true or false
amm1812

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

Let's solve your equation step-by-step.

3 / 4 y = 9

Step 1: Multiply both sides by 4/3.

(4 / 3 ) * ( 3 / 4 y ) = ( 4 / 3 ) * ( 9 )

y = 12

Answer:

y = 12

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Insert 12 to the y value:

3 / 4 ( 12 ) = 9

9 = 9

True

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

3 0
2 years ago
Read 2 more answers
Please help me with number six
Tpy6a [65]

w = 2x = 2( \frac{y}{3}) \\ v = 2w = 2 \times 2( \frac{y}{3} ) \\ v + w  + x + y = 180 \\  \frac{4}{3} y +  \frac{2}{3} y +  \frac{y}{3}  + y = 180 \\ y( \frac{4}{3}  +  \frac{2}{3}  +  \frac{1}{3}  + 1) = 180 \\ y =  \frac{180}{()}
5 0
2 years ago
1. 1 +2r =<br><br><br> 2. 12 = 18 - d<br><br><br> 3. 5b + 10 = 30
seropon [69]

Answer:

1. r=anything

2. d=6

3. b=4

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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