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Dominik [7]
3 years ago
12

I still don't get how to do this: Solve for t then simplify your answer. -6/5t=9

Mathematics
2 answers:
liberstina [14]3 years ago
6 0

Answer:

t= -15/2       or       t= -7.5

Step-by-step explanation:

We are given the equation:

\frac{-6}{5}t=9

and asked to solve for t. Therefore, we must isolate t on one side of the equation.

t is being multiplied by -6/5. The inverse of multiplication is division. We should divided both sides by -6/5, but we are dividing by a fraction. Instead, we can multiply by the reciprocal.

To find the reciprocal, flip the numerator (top number)  and denominator (bottom number).

-6/5 ----> -5/6

Multiply both sides of the equation by -5/6

\frac{-5}{6} *\frac{-6}{5}t=9 *\frac{-5}{6}

t=9 *\frac{-5}{6}

t=\frac{9}1 *\frac{-5}{6}

Multiply across the numerator and denominator.

t= \frac{9*-5}{1*6}

t=\frac{-45}{6}

Simplify the fraction. Both the numerator and denominator can be divided by 3.

t=\frac{-45/3}{6/3}

t=\frac{-15}{2}

t= -7.5

t is equal to -15/2 or -7.5

stepladder [879]3 years ago
5 0

Answer:

t= \frac{-15}{2}

Step-by-step explanation:

Multiply both sides by 5/(-6).

\frac{5}{-6} *\frac{-6}{5}=\frac{5}{-6}*9

ik the doesnt rlly make any sense but hope this helps

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Answer:

There were 30 questions on the test.

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal c
Lina20 [59]

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Step-by-step explanation:

Given : A shoe manufacturer collected data regarding men's shoe sizes and found that the distribution of sizes exactly fits the normal curve.

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ohaa [14]

Answer:

Perpendicular

<em />

Step-by-step explanation:

Given

A = (-4, 8)

B = (4, 10)

C = (1, 1)

D = (-2, 13)

Required

Is AB and CD parallel?

First, we need to calculate the slope (m) of AB and CD

m = \frac{y_2 - y_1}{x_2 - x_1}

For AB:

A (x_1,y_1)= (-4, 8)

B(x_2,y_2) = (4, 10)

So:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{10 - 8}{4 - (-4)}

m = \frac{10 - 8}{4 +4}

m = \frac{2}{8}

m = \frac{1}{4}

For CD:

C(x_1,y_1) = (1, 1)

D(x_2,y_2) = (-2, 13)

So:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{13 - 1}{-2 - 1}

m = \frac{12}{-3}

m = -4

For Lines to be parallel, the slope must be equal:

i.e. m_1 = m_2

This condition is not true because:

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For Lines to be perpendicular, the slope must be:

m_1 = -\frac{1}{m_2}

This implies:

\frac{1}{4} = -\frac{1}{-4}

\frac{1}{4} = \frac{-1}{-4}

\frac{1}{4} = \frac{1}{4}

<em>Hence, the lines are perpendicular</em>

6 0
3 years ago
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