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Alexxx [7]
3 years ago
12

Rachel solved 50 problems of her Homework correctly and scored 62.5%. How many problems were there in the Homework?

Mathematics
2 answers:
sergiy2304 [10]3 years ago
7 0
There are 80 questions in her homework!

(Please Mark me brainliest, And also thank you for putting extra points on this question :) have a good day)
maria [59]3 years ago
3 0

Answer:

80

Step-by-step explanation:

50 problems/x total = 62.5%

50/62.5=0.8 problem for each percent

0.8 * 100 percent = 80 problems

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Find<br>a,b<br>such<br>that 7.2, a, b, 3 are in A.P.​
leonid [27]

Answer:

  • The value of a = 5.8
  • The value of b = 4.4

Step-by-step explanation:

Given

7.2, a, b, 3 are in A.P

2a = 7.2+b

b = 2a - 7.2

as

a, b, 3 are also in A.P

2b\:=\:a\:+\:3

Putting b = 2a - 7.2

2\left(2a-7.2\right)=a+3

4a-14.4=a+3

\mathrm{Add\:}14.4\mathrm{\:to\:both\:sides}

4a-14.4+14.4=a+3+14.4

4a=a+17.4

4a-a=a+17.4-a

3a=17.4

\mathrm{Divide\:both\:sides\:by\:}3

\frac{3a}{3}=\frac{17.4}{3}

a=5.8

Now, plugging a=5.8 in b = 2a - 7.2

b=2\left(5.8\right)-7.2

b=2\cdot \:5.8-7.2

b=11.6-7.2

b=4.4

Therefore,

  • The value of a = 5.8
  • The value of b = 4.4
4 0
3 years ago
Maddie has a retangular garden in her backyard. The perimeter of the garden is eighty-two feet. The width is five shorter than t
Ulleksa [173]
The length is 46 feet and the width is 36 feet.
5 0
3 years ago
How do you solve this (−18) ÷ 3 + (5)(−2) ?
Alekssandra [29.7K]
<span>(−18) ÷ 3 + (5)(−2)
Multiply 5 by -2
(-18)/3 -10
Divide -18 by 3
-5-10
Subtract 10 from -5
Final Answer: -15</span>
6 0
4 years ago
Enita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus
sattari [20]

This shows that the greatest common factor is 8, Hence Venita's error is that she incorrectly determined the GCF.

<h3>Greatest common factor</h3>

Given the following expression

32ab - 8

Find the factors of each terms

32ab = 8 * 4. * a * b

8 = 8 * 1

Since 8 is common to both factors, hence

32ab - 8 = 8(4ab -1)

This shows that the greatest common factor is 8, Hence Venita's error is that she incorrectly determined the GCF.

Learn more on GCF here; brainly.com/question/219464

#SPJ1

8 0
2 years ago
Determine the expression you can substitute for y in to solve the system below.
FromTheMoon [43]

Answer:

Step-by-step explanation:

given are the two following linear equations:

                       f(x)  =  y  = 1 +  .5x

                       f(x)  =  y  = 11 -  2x

Graph the first equation by finding two data points.  By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.

           If x = 0, then  f(0)  =  1  + .5(0)  =  1

           If y = 0, then  f(x)  =  0  = 1  +  .5x

                                               -.5x  =  1

                                                    x  =  -2

           The resulting data points are  (0,1)  and  (-2,0)

Graph the second  equation by finding two data points.  By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.

           If x = 0, then  f(0)  =  11  - 2(0)  =  11

           If y = 0, then  f(x)  =  0  = 11  -  2x

                                               2x  =  11

                                                    x  =  5.5

           The resulting data points are  (0,11)  and  (5.5,0)

At the point of intersection of the two equations x and y have the same values.  From the graph these values can be read as x = 4 and y = 3.

6 0
3 years ago
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