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tester [92]
3 years ago
12

What is the ratio 10:32 (10 to 32) in its simplest form?

Mathematics
2 answers:
erastova [34]3 years ago
5 0
5 to 16 because you divide them by two answer is 5:16

sweet [91]3 years ago
3 0
5:16 because you divide each one by 2
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(12 divided by 3) 2 – (18 divided by 3 2)) < (4 divided by 2)
gladu [14]

Answer:

(12 \div 3)(2 - (18 \div 32) \\  = 4(2 -  \frac{19}{16} ) \\  = 4( \frac{23}{16} ) \\  =  \frac{23}{4}  \\ since \: (4 \div 2) = 2 \\  \frac{23}{4} is \: not \:  < 2 \: but \: its \:  > 2

4 0
3 years ago
Colby is making a home video consisting of a 5-minute introduction followed by several short skits. Each skit is 8 minutes long.
Delvig [45]
Colby is making a home video consisting of a 5-minute introduction followed by several short skits. Each skit is 8 minutes long. If colby's video is 133 minutes long how many skits are in his video? 

He would have 16 skits in his video. 
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3 years ago
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You are 5 feet tall and cast an 8-foot shadow. A lamppost nearby casts a shadow that is 20 feet. Which equation can you use to s
aleksandrvk [35]
I believe the answer is the first option. Tell me if i'm wrong. :)
3 0
3 years ago
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Hey guys please help me solve this math question​
spin [16.1K]

Step-by-step explanation:

When x = -2, x + 2 = (-2) + 2 = 0.

8 0
3 years ago
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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
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