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almond37 [142]
3 years ago
15

A manufacturing plant earned $80 per man hour of labor when it opened Each year, the plant carns an

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer: 16

Step-by-step explanation:

80 divided by 5 equals 16

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A dairy sells $3 and $5 ice creams. In one day they sell 50 ice creams earning a total of $180. How many of each type of ice cre
murzikaleks [220]
We are going to make simultaneous equations.
x will be our $3 ice cream and y will be our $5 ice cream

Equation1 ----            x + y = 50   (the sum of all the ice creams they sell)
Equation 2 ----          3x + 5y = 180  Sum of all the $3 and $5 ice creams is $180
Since we can't solve for both variables we will put one of the variables in terms of the other.
Take x+y=50 and subtract y from both sides.  (I could have done subtracted x - it did not matter).       Now we have x= ₋ y +50  (negative y +50)
Now I am going to take equation 2 and replace the x with -y +50

3 (-y +50) + 5y = 180   
Now I will use the distributive law on the 3 and what's in the parentheses:
-3y + 150 + 5y = 180
Now I will combine like terms (the -3y and the 5y)
2y + 150 = 180
Now subtract 150 from both sides of the equation
2y = 30
Divide both sides by 2
and get y= 15 They sold 15 ice creams that cost $5 each
Since equation 1  is  x+y=50 we can replace y with 15
x + 15 = 50    Now subtract 15 from both sides  x = 35
Since x represents the $3 ice creams, they sold 35 of those.
Check:
35 X 3 = $105
15 x 5  = +  <u>75
</u>               $180  

8 0
3 years ago
A rose garden is formed by joining rectangle and a semicircle, as shown below. The rectangle is 29 ft long and 21 ft wide. If th
Iteru [2.4K]

Answer:

The answer to your question is 116.53 ft

Step-by-step explanation:

Data

length = 29 ft

width = 21 ft

π = 3.14

Process

1.- Calculate perimeter of the rectangle and subtract 1 length

Perimeter of the rectangle = 2l + 2w - l

Perimeter of the rectangle = 2(29) + 2(21) - 29

                                            = 58 + 42 - 29

                                            = 71 ft

2.- Calculate the perimeter of a semicircle

Perimeter = 2πr/2 = πr

radius = r = 29/2

               = 14.5 ft

Perimeter = (3.14)(14.5)

                 = 45.53 ft

3.- Calculate the total length of the fence

fence = 45.53 + 71

          = 116.53 ft

7 0
3 years ago
I need. Help plz 50 points
Marrrta [24]
I know this hold up I’ve done this in yr 7
3 0
3 years ago
2. Find the simple interest. P=$90300, R=8.7%, T=2
ZanzabumX [31]

Answer:

$15,712.20

Step-by-step explanation:

First you convert the percentage to decimal form out of 100 (which you divide)

8.7%/100 =  0.087

A = P(1 + rt)

A = $90,300(1 + 0.087 * 2)     ( * = multiplication)

I = $106,012.20 - $90,300= $15,712.20

Which you should get $15,712.20

Hope this helps!

5 0
3 years ago
What is 250/12 plus 100/21 add all that up to get your answer
Dafna1 [17]

Answer:

  1075/42

Step-by-step explanation:

  \dfrac{250}{12}+\dfrac{100}{21}=\dfrac{250(21)+(12)100}{(12)(21)}=\dfrac{6450}{252}\\\\=\dfrac{(6)(1075)}{(6)(42)}=\boxed{\dfrac{1075}{42}}

8 0
3 years ago
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