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kherson [118]
3 years ago
5

Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 78%.

Mathematics
1 answer:
olganol [36]3 years ago
4 0
The answer is:  "39 points" .
_______________________________________________________
Explanation:
_______________________________________________________
" x/ 50 = 78/100 " ;   in which "x" equals the number of points needed.

_______________________________________________________

To solve for "x" ; 
_______________________________________________________

Look at the denominators:  50 * (what value?) = 100.

→ "100 ÷ 50 = 2" .

→ So;  "50 * 2 = 100" ; 

So, let us look at the numerators:

x * 2 = 78 ; 

↔  2x = 72 ; 

Divide each side of the equation by "2" ; to isolate "x" on one side of the equation ; and to solve for "x" ;
_____________________________________________
 →  78 ÷ 2 = 39 ;

The answer is:  "39 points" .
_____________________________________________


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Two numbers have a product of 20. The second number is three less than twice the first number. What are the two numbers?
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Answer:

4 and 5

Step-by-step explanation:

xy = 20

x = 2y - 3

(2y-3)y = 20

2y^2 - 3y = 20

2y^2 - 3y - 20 = 0

Solve the quadratic equation

you get y = 4, -5/2

Use 5 since it is one of the options

xy = 20, y = 4

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6. A pitcher has 16 cups of water in it. During the day, Aditi drank 5⁄2 cups, Kavitha drank 15⁄4 cups, and Rahul drank 33⁄8 cup
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Answer:

A. Aditi 2 1/2 cups, Kavitha 3 3/4 cups, and Rahul 4 1/8 cups

Step-by-step explanation:

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3*4=12  15-12=3       3 3/4

4*8-32  33-32=1     4 1/8

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4 years ago
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6 0
3 years ago
Work out the size of angle x 126* 43*
il63 [147K]

Answer:

83°

Step-by-step explanation:

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We should calculate the first one wich is given by : 180-126= 54

now finally :

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3 years ago
A chef planning for a large banquet thinks that 2 out of every 5 dinner guests will order soup. 800 guests are going to be at th
Xelga [282]

Answer:

The Chef will prepare 320 soups for a large banquet

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chef thinks that 2 out of every 5 dinner guests will order soup

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