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nadya68 [22]
2 years ago
15

Grant walks 4/5 of a mile in 1/4 hour. What is his ratio of miles to hours in simplest form?

Mathematics
1 answer:
Sedbober [7]2 years ago
8 0

Answer:

You can always ask the tutor they give the correct answer :))

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Write 8/5 in a mixed number
Licemer1 [7]
The answer for that question is 1 3/5
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Pleas help i will mark branlist
koban [17]
D because your making the shape smaller 2 times
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3 years ago
What 18% more than 200
djyliett [7]
Answer: 236

Explanation:

100% = 200
118% = x

-> x = (118 * 200) / 100

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3 years ago
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Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15
RUDIKE [14]

Answer:

The vertex of this parabola, (-2, 3), can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

g(x) = a\, (x - h)^2 + k,

where a, h, and k are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at (h,\, k).

The vertex form can be expanded to obtain:

\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}.

Compare that expression with the given equation of this parabola. The constant term, the coefficient for x, and the coefficient for x^2 should all match accordingly. That is:

\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right..

The first equation implies that a is equal to 3. Hence, replace the "a\!" in the second equation with 3\! to eliminate \! a:

(-2\times 3)\, h = 12.

h = -2.

Similarly, replace the "a" and the "h" in the third equation with 3 and (-2), respectively:

3 \times (-2)^2 + k = 15.

k = 3.

Therefore, g(x) = 3\, x^2 + 12\, x + 15 would be equivalent to g(x) = 3\, (x - (-2))^2 + 3. The vertex of this parabola would thus be:

\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}.

8 0
3 years ago
An equilateral triangle has a base of 44 meters and a height of h meters. Inside that triangle is constructed a second equilater
TEA [102]

Answer:

6.25 %  of area of Large triangle =  area of smallest triangle

Step-by-step explanation:

Area of large triangle L = (1/2)*base*height

L = (1/2)*(44 m)* h

L = 22*h  square m.

2nd equilateral triangle area:  S =(1/2)*(22 m)*(0.5h)

S = 5.5*h sq. m.

3rd smallest equilateral triangle area : T = (1/2)*(11 m)*(0.25h)

T = 1.375*h sq. m

-----

Find percent P  where  T = P* L,     1.375*h = P * 22*h

P = 6.25%  = 0.0625

4 0
3 years ago
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