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frutty [35]
2 years ago
9

In two hours Holden completed 3/4 of his race how long will it take Holden to complete the entire race?

Mathematics
1 answer:
vivado [14]2 years ago
8 0

Answer:

\frac{1}{4} = 50 Minutes

Whole Race Time : 2 Hour and 50 Minutes

Step-by-step explanation:

so 2 Hour = \frac{3}{4} Race completed

we need to find what 1/4 Race = x Hours

so 200 divided by 4 because \frac{3}{4} Race is done.

we need to find how long to finish the whole race also known as \frac{4}{4}.

200 divided by 4 = 50

so Holden still need 50 Minutes to finish the race.

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Greeley [361]
Vertical angles are congruent, so
107=3x-4
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3 years ago
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the gasoline gauge on a van initially read 1/8 full. When 15 gallons were added to the tank, the gauge read 3/4 full. how many m
nexus9112 [7]
Let x be the capacity of the tank then
3x/4-x/8 =15,
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5 0
3 years ago
The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
11 months ago
Please help!! i will help you back!!
NeX [460]

Answer:

c = 50

Step-by-step explanation:

Using the Pythagorean Theorem:

Plug in the values of a = 14, and b = 48

a^{2} +b^{2} =c^{2}\\14^{2} +48^{2} =c^{2}  \\c^{2} = 2500\\c = \sqrt{2500} \\c = 50

7 0
3 years ago
What is the smallest positive degree angle measure equivalent to sin^-1 (0.391)?
natta225 [31]

Given:

The value is:

\sin^{-1}(0.391)

To find:

The smallest positive degree angle measure equivalent to \sin^{-1}(0.391).

Solution:

We have,

\sin^{-1}(0.391)

Using the scientific calculator, we get

\sin^{-1}(0.391)=23.0167366398^\circ

\sin^{-1}(0.391)\approx 23^\circ

Therefore, the smallest positive degree angle measure equivalent to \sin^{-1}(0.391) is 23 degrees.

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2 years ago
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