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3 years ago

Solve the following equation. Then place the correct number in the box provided. 6x - 8 = 16

Mathematics

2 answers:

uysha [10]3 years ago

8 0

6x-8=16
6x-8+8=16+8
6x=24
6x=24
— —
6 6
X= 4

Masteriza [31]3 years ago

8 0

ANSWER

$x=4$

EXPLANATION

We have $6x-8=16$

We add 8 to both sides of the equation

$6x-8+8=16+8$

We simplify

$6x=24$

We divide both sides by 6

$x=\frac{24}{6}$

$x=4$

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Simplify: -1 | 2/3 - 4 | / 5/6

stealth61 [152]

Answer:

Step-by-step explanation:

$- 1 | \frac{2}{3} - 4| \div \frac{5}{6} \\ - 1 | \frac{2}{3} - \frac{4 \times 3}{1 \times 3} | \div \frac{5}{6} \\ - 1 | \frac{2 - 12}{3} | \div \frac{5}{6} \\ - 1 | \frac{ - 10}{3} | \div \frac{5}{6} \\ \frac{10}{3} \div \frac{5}{6} \\ \frac{10}{3} \times \frac{6}{5} \\ \frac{2}{1} \times \frac{2}{1} = 4$

3 0

2 years ago

Marc wants to guess how many marbles are in a box that has a height of 18 inches. He calculates that there are 32 marbles in a h

Rainbow [258]

So every 5 inches in height, there are 32 marbles. You want to know how many marbles there are per 18 inches in height.

$\frac{32}{5} = \frac{x}{18}$

To get from 5 to 18, you multiply by 3.6.

Do the same thing to the numerator; 32 × 3.6 = 115.2.

Since 0.2 marbles is no marbles, you round down.

There are 115 marbles in the box.

♡ Hope this helps! ♡

❀ 0ranges ❀

8 0

3 years ago

A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2;

nevsk [136]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------$

$\bf f(x)= 4x^2 \qquad 
\begin{cases}
x_1=3\\
x_2=3+h
\end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)}
\\\\\\
\cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h}
\\\\\\
\cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h}
\\\\\\
\cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h$

8 0

3 years ago

Ok need help this is the question :Use the Pythagorean theorem to write an equation for the distance Jane's trainer bikes.

IRINA_888 [86]

Answer:

<em>Jane traveled 8 miles farther then her trainer</em>

Step-by-step explanation:

<u>The Pythagora's Theorem</u>

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

$c^2=a^2+b^2$