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3 years ago

Find the percent of increase from 8 feet to 10 feet. Round the percent to the nearest tenth if necessary.

Mathematics

1 answer:

Misha Larkins [42]3 years ago

5 0

Answer:

20%

Step-by-step explanation:

10-8=2

If 10 is equal to 100%

So, 2 is 20%

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Michael drives 30 miles in 5 hours. How many miles can he drive in 8 hours?

NARA [144]

Answer:

In 8 hours, Michael can drive 48 miles.

Step-by-step explanation:

Let's write our equation.

30 miles = 5 hours
=> 30/5 miles = 1 hour
=> 6 miles = 1 hour
=> 6 x 8 miles = 1 x 8 hours
=> 48 miles = 8 hours

Hence, in 8 hours, Michael can drive 48 miles.

Hoped this helped.

$BrainiacUser1357$

4 0

2 years ago

What is the perimeter of triangle LMN

Gennadij [26K]

Lmn has sides measuring 7 m and 6 m and a perimeter of 16 m.
But if you were asking for the area it would be 3 m

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3 years ago

write the equation of the line that passes through the vertex of the parabola y=-2x^2+12x-11 and the point (-2,47)

pshichka [43]

$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{-11} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{12}{2(-2)}~~,~~-11-\cfrac{12^2}{4(-2)} \right)\implies \left( 3~~,~~-11+\cfrac{144}{8} \right) \\\\\\ (3~~,~~-11+18)\implies (3~~,~~7) \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{vertex}{(\stackrel{x_1}{3}~,~\stackrel{y_1}{7})}\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{47}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{47}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{3}}}\implies \cfrac{40}{-5}\implies -8$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{-8}(x-\stackrel{x_1}{3}) \\\\\\ y-7=-8x+24\implies y=-8x+31$

5 0

4 years ago

Find the lowest common denominator of the following fractions.5/n-2 and n+2/ n^2-4 n - 2 n2 - 4 (n - 2)(n2 - 4)

DanielleElmas [232]

Answer:

(n-2)(n+2)

Step-by-step explanation:

The denominator of the second fraction is the difference of squares, so can be factored using the formula for that.

(n^2 -4) = (n -2)(n +2)

Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...

(n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2

This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).

If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).

5 0

4 years ago

PLEASE! 10 POINTS! For what number A does the equation 3Ax - 24 = 5x - 9 + x have no solutions for x?

Gala2k [10]

Answer:

3Ax-6x = 15

3x(A-2)=15

If A were 2, the left side of the equation would be 0 and it wouldn't equal 15 no matter what the value of x is. So A is 2

6 0

3 years ago