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dem82 [27]
3 years ago
14

The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the s

hirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold StartFraction one-third EndFraction of the short-sleeved shirts and StartFraction one-half EndFraction of the long-sleeved shirts, for a total of 100 shirts. How many short-sleeved shirts were ordered?
How many long-sleeved shirts were ordered?
Mathematics
2 answers:
noname [10]3 years ago
7 0

Answer:

b

Step-by-step explanation:

i did it on edge

blagie [28]3 years ago
3 0

Answer:

  • 150 short-sleeved shirts
  • 100 long-sleeved shirts

Step-by-step explanation:

Let S and L represent the numbers of short- and long-sleeved shirts ordered.

The expected earnings were ...

  5S +10L = 1750

The number sold was ...

  (1/3)S + (1/2)L = 100

We can multiply the first equation by 1/5 and the second equation by 6 to put the equations into standard form:

  • S +2L = 350
  • 2S +3L = 600

Subtracting the second equation from twice the first gives ...

  2(S +2L) -(2S +3L) = 2(350) -(600)

  L = 100 . . . . . . simplify

  2S +3(100) = 600

  S = 150

150 short-sleeved and 100 long-sleeved shirts were ordered.

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Alex and his friend Kim made a one-gallon pitcher of lemonade because it was so hot. They drank 5 glasses that each help 2 cups
natulia [17]

we know that

4 cups of lemonade = 1 quart

1 gallon of lemonade = 4 quarts

1 gallon of lemonade = 16 cups

Step 1

<u>  find the amount of lemonade that's left expressed in cups</u>

5 glasses * 2 cups = 10 cups  

16 cups - 10 cups = 6 cups.  

There are 6 cups of lemonade left.  

Step 2

<u>  find the amount of lemonade that's left expressed in  quarts:  </u>

4 cups = 1 quart.  

(6 cups divided by 4 cups will equal the quarts.)  

6/4=1.5

6 cups = 1.5 quarts.  

There are 1.5 quarts of lemonade left.  

Step 3

<u>  find the amount of lemonade that's left expressed in gallons  </u>

4 quarts = 1 gallon.  

(1.5 quarts divided by 4 quarts will equal the gallon)  

1.5/4=0.375

1.5 quarts = 0.375 gallon.  

There is 0.375 gallon left of lemonade.

6 0
3 years ago
Given the net with dimensions below, find the surface area of the shape.
nlexa [21]

Answer:

184cm^2

Step-by-step explanation:

(5+5+6) * 10 = 160

6*4 = 24

160+24=184

there are 2 triangles so I am assuming they have the same dimensions

3 0
2 years ago
31. You work 35 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will y
ivann1987 [24]

Answer:

  • Option B

Step-by-step explanation:

<u>Calculate and compare:</u>

  • A) $32000
  • B) $18.5*35*52 = $33670
  • C) $30000 + 5% = $30000 + $1500 = $31500
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7 0
2 years ago
Read 2 more answers
The population of Country A is about 1,047,000 and the population of Country B is about 1,080,000,000. Approximately how many ti
Kamila [148]

Answer:

1000

Step-by-step explanation:

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6 0
3 years ago
Evaluate g(p)•h(p) by modeling or by using the distribution property
Nataly [62]

g(p) \cdot h(p) = p^{4}+2 p^{3}-8 p^{2}-2p+4

Solution:

Given data:

g(p)=(p-2) and h(p)=\left(p^{3}+4 p^{2}-2\right)

To find g(p) \cdot h(p):

g(p) \cdot h(p)= (p-2)\cdot \left(p^{3}+4 p^{2}-2\right)

Distributive property: a(b+c)=ab + ac

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               = \left(p^{4}+4 p^{3}-2p\right) +\left(-2p^{3}-8 p^{2}+4\right)

               = p^{4}+4 p^{3}-2p-2p^{3}-8 p^{2}+4

Arrange and add/subtract same powers.

              = p^{4}+(4 p^{3}-2p^{3})-8 p^{2}-2p+4

               = p^{4}+2 p^{3}-8 p^{2}-2p+4

Hence g(p) \cdot h(p) = p^{4}+2 p^{3}-8 p^{2}-2p+4

5 0
3 years ago
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