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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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-9y15

Step-by-step explanation:

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3 years ago
The data reflects the number of hours an employee spends working a checkout line (x), paired with the number of customers served
Whitepunk [10]

The slope of the line can be interpreted that with each additional hour, nearly 18 customers are served; option B

<h3>What is the slope of a line?</h3>

The slope of a line is the ratio of climb to that of run

Slope = change in y/change in x

The given graph is a graph of the number of hours an employee spends working a checkout line (x), against the number of customers served (y).

The slope of the graph can be written as follows:

Slope = change in the number of customers served/change in the number of hours an employee spends working

Therefore, the slope of the line can be interpreted that with each additional hour, nearly 18 customers are served.

In conclusion, slope of a line is ratio of change in y to change in x.

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Simplify the polynomial expressions by combining like terms and then multiply the resulting binomial expressions to find their p
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(6x-9)(8+5x-5)=(6x-9)(5x+3)=

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6 0
3 years ago
Read 2 more answers
15x^2 + 41x + 28 <br><br>STEP BY STEP ANSWER PLSSS​
maria [59]

Answer:

(3x+4)(5x+7)

Step-by-step explanation:

15x^2 +41x+28

Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.

a+b=41

ab=15×28=420

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.

1,420

2,210

3,140

4,105

5,84

6,70

7,60

10,42

12,35

14,30

15,28

20,21

Calculate the sum for each pair.

1+420=421

2+210=212

3+140=143

4+105=109

5+84=89

6+70=76

7+60=67

10+42=52

12+35=47

14+30=44

15+28=43

20+21=41

The solution is the pair that gives sum 41.

a=20

b=21

Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).

(15x^2 +20x)+(21x+28)

Factor out 5x in the first and 7 in the second group.

5x(3x+4)+7(3x+4)

Factor out common term 3x+4 by using distributive property.

(3x+4)(5x+7)

7 0
3 years ago
Read 2 more answers
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