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kap26 [50]
3 years ago
10

the big dog weighs 5 times as much as the little dog. The little dog weighs 25% as much as the medium sized dog. The medium size

d dog weighs 12 pounds more than the little dog. How much does the big dog weigh?
Mathematics
1 answer:
USPshnik [31]3 years ago
5 0
15 pounds, 12 divided by four multiplied by 5 (4 because 25% = 1/4)
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There will be 12 eggs in each carton.
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Lily built an orange shelf and a brown shelf to hang in her rom. The orange shelf is 5 feet 6 inches long. The brown shelf is tw
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The brown shelf is 11 feet long.
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3 years ago
Find the height of a cone with a volume of 150 in^3 and a diameter of 20 in. Use 3.14 for π.
Zolol [24]

Volume = \frac{1}{3} \pi r^{2} h

150 = \frac{1}{3} x 3.14 x 10 x 10 x h

150 x 3 = 314 x h

h = 450/314

h = 1.43 inches

6 0
3 years ago
Solve for x.<br> X = 12<br> 4
kirill115 [55]

Answer:

Step-by-step explanation:

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8 0
3 years ago
The function f(x) = (x − 4)(x − 2) is shown. what is the range of the function?
defon

Answer:

y\geq -1

All real numbers greater than or equal to -1

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

f(x)=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

if a> 0 ----> the parabola open upward ( vertex is a minimum)

if a< 0 ----> the parabola open downward ( vertex is a maximum)

In this problem we have

f(x)=(x-4)(x-2)

Convert to vertex form

f(x)=(x-4)(x-2)=x^{2} -2x-4x+8\\f(x)=x^{2}-6x+8

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-8=x^{2}-6x

Complete the square. Remember to balance the equation by adding the same constants to each side.

f(x)-8+9=x^{2}-6x+9

f(x)+1=x^{2}-6x+9

Rewrite as perfect squares

f(x)+1=(x-3)^{2}

f(x)=(x-3)^{2}-1 -------> equation in vertex form

The vertex is the point (3,-1)

a=1

therefore

a> 0 ----> the parabola open upward ( vertex is a minimum)

The range of the function is the interval-------> [-1,∞)

y\geq -1

All real numbers greater than or equal to -1

see the attached figure to better understand the problem

8 0
4 years ago
Read 2 more answers
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