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Drupady [299]
3 years ago
13

Sally is 3 years younger than Ralph. What equation represents this relationship?

Mathematics
1 answer:
Fiesta28 [93]3 years ago
3 0
The correct answer is D.
Sally is 3 years younger than Ralph therefore S=R-3 which means Sally is Ralph’s age minus 3.
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Please simplify<br> –z -10y +2 +15y – 2z -10
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Step-by-step explanation:

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If the radius of a circle is 5 what is the circumference
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11. For a math homework assignment, Karla found the
riadik2000 [5.3K]

Answer:

Option C. 12 by 15

Step-by-step explanation:

Let the length be L

Let the width be w

Area of rectangle = L x w

Perimeter of rectangular = 2 (L + w)

From the question given,

A = 180

P = 54

180 = L x w (1)

54 = 2(L + w) (2)

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54 = 2(L + w)

Divide both side by the 2

54/2 = L + w

27 = L + w

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Substituting the value of L into equation (1), we have:

180 = L x w

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Rearrange the expression

w^2 — 27w + 180 = 0 (4)

Solving by factorization method:

Multiply the first term (i.e w^2) with the last term (i.e 180). This gives 180w^2. Now find two factors of 180w^2, such that their sum will result to the second (i.e —27w). These factors are —12w and —15w.

Now, substitute these factors (—12w and —15w) into equation (4)

w^2 — 27w + 180 = 0

w^2 — 12w —15w + 180 = 0

w(w — 12) — 15(w — 12) =0

(w — 12) (w — 15) = 0

w = 12 or w = 15.

Substituting the value of w into equation (3)

L = 27 — w

When w = 12

L = 27 — 12 = 15

When w = 15

L = 27 — 15 = 12

Since the length is longer than the width, the length is 15 and the width is 12.

Therefore the dimensions is 12 x 15

6 0
3 years ago
Robert can make 24 gadgets in 2.5 hours. How many can he make in<br> 11.25 hours?
frez [133]

Answer:

108  gadgets

Step-by-step explanation:

We can use a ratio to solve

24 gadgets           x gadget

------------------- = ---------------

2.5 hours           11.25 hours

Using cross products

24 * 11.25 = 2.5 *x

270 = 2.5x

Divide by 2.5

270/2.5 = 2.5x/2.5

108 = x

5 0
3 years ago
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