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Furkat [3]
3 years ago
8

Maria has three children. there are two age diffrence between each child . the total ages of all three is 36 years. rosa is the

youngest how old is rosa
Mathematics
1 answer:
shtirl [24]3 years ago
8 0
R = Rosa's age
r + 2 = next child 
r + 4 = eldest child

r + (r + 2) + (r + 4) = 36

*Substitute '1' for the Rs

1r + 1r + 1r + 2 + 4 = 36

3r + 6 = 36

*Subtract '6' to both sides

3r + 6 - 6 = 36 - 6

3r = 30

*Divide '3' to both sides

\frac{3r}{3} = \frac{30}{3}

r = 10

Rosa is 10 years old.
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The width of a rectangle is 2 units less than the length. The area of the rectangle is 63 units. What is the length, in units, o
Oduvanchick [21]

Answer: Length = 9 units

Step-by-step explanation:

Let L represent the length of the rectangle.

The width of a rectangle is 2 units less than the length. It means that the width of the rectangle is (L - 2) units.

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of the rectangle is 63 units. It means that

L(L - 2) = 63

L² - 2L = 63

L² - 2L - 63 = 0

L² + 7L - 9L - 63 = 0

L(L + 7) - 9(L + 7) = 0

L - 9 = 0 or L + 7 = 0

L = 9 or L = - 7

Since the length cannot be negative, then

L = 9 units

Width = 9 - 2 = 7 units

5 0
3 years ago
Fifteen times the square of a non-zero number is equal to 20 times number.
STatiana [176]
Let the number be x

15 × x² = 20 × x
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⇒ x = 20/15
⇒ x = 4/3

The number is 4/3

Hope it helps!
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3 years ago
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The table shows the amounts of food collected by two homerooms. Homeroom A collects 21 additional items of food. How many more i
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<span>Let x be additional food item the homeroom B should collect  to have greater item per student than homeroom A.</span>

(22 +24 + x) / 16 > (30 + 42 + 21) /24

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X > 16

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