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KiRa [710]
2 years ago
14

Amber works as a waitress at a restaurant. She earns an hourly wage and also earns tips. One night, she worked 6 hours and earne

d a total of $69.20, which included tips of $15.50. Explain how the equation 6w + 15.5 = 69.2 represents this situation. Then, calculate Amber’s hourly wage.
Mathematics
1 answer:
marshall27 [118]2 years ago
4 0

Answer:

Hey there!

The given equation helps us understand the relationship between Amber's tips earned and the money she earned through her hourly wage. This information will add up to equal a grand total of $69.20.

We know that Amber earns $15.50 in tips during her 6 hour shift. Therefore, this is not considered part of her wage. This would be one of the constants of our equation.

We also know that Amber earns a fixed hourly wage, but we don't know what this wage is. We need to find w.

6w+15.5=\$69.20

Subtract 15.5 from both sides of the equation (and get rid of the currency symbol).

6w=69.20-15.5\\6w=53.7

Divide both sides of the equation by 6.

\displaystyle \frac{6w}{6}=\frac{53.7}{6}\\\\w=8.95

Therefore, Amber's hourly wage is $8.95.

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2 years ago
On a number line what is the distance between-3/7 and -2/3
Nikitich [7]
Is simply their difference,

\bf -\cfrac{3}{7}-\left( -\cfrac{2}{3} \right)\implies -\cfrac{3}{7}+\cfrac{2}{3}\impliedby \textit{LCD of 21}\implies \cfrac{-3(3)+2(7)}{21}
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\cfrac{-9+14}{21}\implies \cfrac{5}{21}

4 0
3 years ago
A baseball team has home games on Friday and Sunday. The two games together earn ​$3432.00 for the team. Friday​'s game generate
scoundrel [369]

Answer:

Friday's game generates $1,664 while Sunday's, game generates $1,768 for a total of $3432.00.

Step-by-step explanation:

First, identify what you know:

1) A baseball team has home games on Friday and Sunday

2) Both games, combined, earned $3432.00

3) Friday's game generated $104.00 less than Sunday's game.

We can create a formula to solve our problem!

$3,432 = x + (x - 104)

$3,432 + 104 = x + x

$3,536 = 2x

$3,536/2 = x

x = $1,768

Sunday's game earned $1,768! If Friday's game earned $104 less, then simply subtract that from Sunday's earning!

$1,768 - $104 = $1,664

Friday's game cost $1,664, and Sunday's game earned $1,768!

Hope this helps! :)

7 0
3 years ago
Read 2 more answers
Lindsie is painting on a canvas with dimensions of 3 ft by 4 ft. She wants to make a display model for a gallery that has twice
love history [14]

Answer:

B. 1.4 feet

Step-by-step explanation:

Let, the amount of increase be 'x' ft.

Since, the length and width of the canvas are 4 ft and 3 ft respectively.

Thus, area of the canvas, A_{c} = length × breadth = 4 × 3 = 12 ft²

Since, the area of display model is twice the area of the canvas. We have,

A_{d} = 2 × A_{c}

i.e. A_{d} = 2 × 12

i.e. A_{d} = 24 ft².

As, the length and width of the canvas are increased  by 'x'.

The, length and width of the display model are (x+4) ft and (x+3) ft.

So, we get,

A_{c} = length × breadth = (x+4) × (x+3) = x^{2} +7x+12

Since, A_{d} = 24 ft²

i.e.  x^{2} +7x+12 = 24

i.e.  x^{2} +7x-12=0

Solving the quadratic equation, we get,

i.e. x = -8.4 and x= 1.4

Since, the value of x cannot be negative.

Thus, x = 1.4 feet.

4 0
3 years ago
Parallel lines e and f are cut by transversal b. What is the value of x? A.130 B.16 C.164 D.50
Gnesinka [82]

Answer:

A) 130

Step-by-step explanation:

(2x + 18) + y = 180 <--- Is True

(4x - 14) + y = 180 <--- Is True

(2x + 18) + y = y + (4x - 14)  

(2x + 18) = (4x - 14)

2x + 18 = 4x - 14

-2x + 18 = -14

   - 18    - 18

-2x = -32  

x = 16

2(16) + 18 = 50

4(16) - 14 = 50

180 - 50 = 130

4 0
3 years ago
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