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Alekssandra [29.7K]
2 years ago
10

Isobel and Marnie volunteer at a daycare center. Isobel works 3 hours for every 2 hours Marnie works. If the 2 girls together wo

rk 20 hours one month, how many hours does Isobel work?
Mathematics
1 answer:
stealth61 [152]2 years ago
3 0
Isobel =I  
Marnie =M
I(X) + M(X) = 20
3x + 2x =20
5x =20
divide by 5 both sides
5x/5 = 20/5
x = 4
then multiply I hours by 4  and M hours by 4

3(4) + 2(4) =20
12+ 8 = 20

Isobel worked a total of 12 hours and Marnie worked a total of 8.  
Hope this helps

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3 years ago
The perimeter of a rectangular field is 60ft and its width is 20ft find the area of this field
Gennadij [26K]

Perimeter of rectangle = 2( length +width)

given: Perimeter=60 ft and width=20 ft

plugging these values in the formula,

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dividing both sides by 2

30=20+length

length =30-20=10

length is 10 feet

width is 20 feet

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Area = l*w

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Answer : Area of rectangle is 200 square feet.

4 0
3 years ago
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The variables A, B, and C represent polynomials where A=x^2, B=3x+2, and C=x-3. What is AB-C^2 in simplest form?
yuradex [85]

Answer:

AB-C^2 = 3x^3 + x^2 + 9

Step-by-step explanation:

Hi

AB = (x^2)*(3x+2)= 3x^3 + 2x^2

C^2= (x-3)^2 = x^2 - 9

So

AB-C^2 = 3x^3 + 2x^2 - x^2 + 9 = 3x^3 + x^2 + 9

7 0
2 years ago
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Hello : 
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6 0
3 years ago
1/4(x-2) = 10 NEED DONE ASAP
kari74 [83]

Answer:

x = 42

Step-by-step explanation:

Step  1  :

           1

Simplify   —

           4

Equation at the end of step  1  :

  1              

 (— • (x - 2)) -  10  = 0

  4              

Step  2  :

Equation at the end of step  2  :

 (x - 2)    

 ——————— -  10  = 0

    4      

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         10     10 • 4

   10 =  ——  =  ——————

         1        4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x-2) - (10 • 4)     x - 42

————————————————  =  ——————

       4               4  

Equation at the end of step  3  :

 x - 42

 ——————  = 0

   4  

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator,  multiplys both sides of the equation by the denominator.

Here's how:

 x-42

 ———— • 4 = 0 • 4

  4  

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-42  = 0

Solving a Single Variable Equation :

4.2      Solve  :    x-42 = 0

Add  42  to both sides of the equation :

                     x = 42

One solution was found :

                  x = 42

Processing ends successfully

plz mark me as brainliest :)

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2 years ago
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