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Norma-Jean [14]
3 years ago
13

Sharon runs a screen-printing business. To print T-shirts each day, it costs her $200 in labor plus $5 per T-shirt for materials

. Her income is $15 for each T-shirt she sells. How many T-shirts does Sharon need to sell each day in order for her costs to equal her income for that day?
(i mainly need the equation for this problem)
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

Equation: 15n = 200 + 5n

Number of T-shirts: 20

Step-by-step explanation:

We need to find an expression for the costs for 1 day for making n number of T-shirts and an expression for the income for 1 day for selling n number of T-shirts. Then we set the expressions equal and solve for n, the number of T-shirts.

<u><em>Expenses in 1 day: </em></u>

The expenses are a fixed cost of $200 plus the cost per T-shirt.

$200 plus $5 per T-shirt

We need an expression for the cost per T-shirt in terms of n, the number of T-shirts.

If she makes 1 T-shirt, she spends $5 * 1.

If she makes 2 T-shirts, she spends $5 * 2.

If she makes n T-shirts, she spends $5 * n, or simply 5n.

Her total costs for a day are:

200 + 5n

<u><em>Income in 1 day:</em></u>

All the income comes from selling T-shirts.

She sells 1 T-shirt for $15 * 1.

She sells 2 T-shirts for $15 * 2.

She sells n T-shirts for $15 * n, or simply 15n

Her total income for 1 day is:

15n

Now we set the costs equal to the income and solve for n.

15n = 200 + 5n           <---------   here is the equation you need

Subtract 5n from both sides.

10n = 200

Divide both sides by 10.

n = 20

Answer: She needs to sell 20 T-shirts.

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Elan Coil [88]

Answer:

318 days or 10.6 months,

No, because the time between august and december is 8 months and it would take 10 to complete the tunnel

Step-by-step explanation:

start by determining the slope:

subtract the remaining distance from the total distance to determine distance so far, then divide by time.

m = (3200 - 1700)/5

m = 1500/5

m = 300

y = mx + b

Plug in to solve for x.

3200 = 300x + 0

3200 = 300x

divide y by m. This is x. (this is known as inverse operation if you didnt know already.)

3200 = 300(10.6_)

8 0
3 years ago
Which equation represents this number sentence?
olasank [31]

Answer:

The answer to your question is: the second option

Step-by-step explanation:

a) This is not the right answer, the sentence to this option could be: fourteen more than the quotient of five and a number is 23.

b) This is the right option, the sentence is given in the description.

c)  This is not the right answer, the sentence to thi option could be: the quotient of fourteen plus a number and five is 23.

d) This is not the right answer, the sentence of this option could be: the quotient of five and the addition of a number and fourteen is 23.

4 0
3 years ago
mr.tucker has four sockets in his tool chest that are labeled 3/4 in., 3/16in., 11/32in., and 1/8 in. order the sizes of sockets
miv72 [106K]
They all have to have common denominators

The common denominator is 32

3/4= multiply by 8/8= 23/32

3/16= multiply by 2/2= 6/32

11/32. Is. 11/32

1/8 multiply by 4/4 =. 4/32

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8 0
3 years ago
Need help ASAP !!!!!!
Slav-nsk [51]

Answer:

Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.  

Step-by-step explanation:

Given:

Let,

point S( x₁ , y₁) ≡ ( -1 , 1)  

point T( x₂ , y₂) ≡ (3 , -5)

Point M( x , y ) is the Mid point of segment ST.  

To Find:

Point M( x , y )= ?

Solution:

As Point M( x , y ) is the Mid point of segment ST.

So we have Mid Point Formula as

Mid\ pointM(x,y)=(\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2})

On substituting the given values in above equation we get

M(x,y)=(\frac {-1+3}{2},\frac{-5+1}{2})\\\\M(x,y)=(\frac{2}{2},\frac{-4}{2}) \\\\M(x,y)=(1,-2)\ \textrm{which the required midpoint}

Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.  

4 0
3 years ago
Can anybody please help?
seropon [69]

Area of the shaded region = Area <span>of a square - Area of a circle
</span>
Side of a square = 2r
Area of a square = (2r)² = 4r²

Area of a circle = πr²

Area of the shaded region = 4r² - πr² = r²(4-π)

3 0
3 years ago
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