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xz_007 [3.2K]
3 years ago
5

Parking lot has 121 spots. Ratio of senior to junior is 7 to 4. How many spots go to each grade level?

Mathematics
1 answer:
Andrej [43]3 years ago
6 0
I am going to build a chart this is best when using ratios 

              seniors    junior  total
                 7              4       
                 *?             *?     *?
    Totals                          121   

The way we fill out this chart is that we add the rows and multiply the columns. 

So we add 7 + 4 and fill it in our chart we get 11 

            seniors    junior  total
                 7              4       11
                 *?             *?     *?
    Totals                          121   

now to find the *? need to divide 121/11 to get *?

121/11 = 11

so now our chart looks like this 
            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals                          121   

Now we multiply each column 

so
7 * 11  = 77
 4*11 = 44

now our chart look like this 

            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals     77           44      121   

so seniors get 77 spaces 
and juniors get 44 spaces. 

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Cane buys candy in bulk and sells it at a 25% markup. If c represents the original cost of the candy, which expression represent
ioda

Answer:

  • <em>C. 1.25c </em>

Step-by-step explanation:

  • <em>Options are: </em>
  • <em>A. 25c </em>
  • <em>B. 0.75c </em>
  • <em>C. 1.25c </em>
  • <em>D. 1.25c - 1.25 </em>

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Original price  = c

Markup = 25%

<u>Markup price is:</u>

  • c + 25% =
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Correct option is C

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3 years ago
the area of a rectangle is 162 square meters. if the length is 18 meters, what is the perimeter of the rectangle
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Answer:

The perimeter of the rectangle is 54 meters.

Step-by-step explanation:

In order to find the perimeter of the rectangle, which is the sum of all the sides, we need to know not only the length, but also the width.  The formula for area of a rectangle is A = length x width.  Setting up an equation to find width 'w', we get:  162 = 18 x w.  Using inverse operations, we divide both sides of the equation by 18 to get w = 9.  Since we now know that w = 9 and l = 18, we can find the perimeter using the following equation:  P = 2w + 2l or P= 2(9) + 2(18) or P=54 meters.  

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A job order requires you to use a miter saw to cut 38 pieces of rough stock. The pieces have to be 5 1/4" long, the width of the
lilavasa [31]

Answer:

<h2>19.95 ≅ 20 boards will be required.</h2>

Step-by-step explanation:

The pieces have to be 5 + \frac{1}{4} = \frac{21}{4} feet long.

A total number of 38 pieces are needed to cut.

In order to make 38 pieces total required length is 38 \times\frac{21}{4} = \frac{19times21}{2} = 199.5

1 board is 10 feet long, hence total requirement of board is \frac{199.5}{10} = 19.95

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1. in the figure FL=5 and HL= 8 what is FM (hint Pythagorean theorem and radi of circles)
marta [7]
1- FM is 3

we know that FM and FG are radius of the circle. so:
FM =FG


so if we find FG by Pythagorean theorem, we find FM, too


FL (hypotenuse) is 5

HL is 8. GL is half of HL. so GL is 4

now we can use Pythagorean theorem to find FG
4 {}^{2}  +  {x}^{2} =  {5}^{2}    \\  {x}^{2}  =  {5}^{2}  -  {4}^{2}  \\  {x}^{2}  = 25 - 16 = 9 \\ x =  \sqrt{9}  = 3




2- x is 40


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ADB is half of m AB


so BAD is 50

and ADB is 90


Then ABD will be:
180 - (50 + 90) = 180 - 140  \\ = 40



good luck

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The second equation has the solution

x-3=0 \iff x=3

So, globally, the expression equals zero if and only if x=3

8 0
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