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3 years ago

What is the solution to the equation 3x + 2(x - 9) = 8x + X- 14? O-8 -1 O1 O8

Mathematics

2 answers:

anyanavicka [17]3 years ago

8 0

Answer is B -1
Hope it helps

Dovator [93]3 years ago

5 0

Answer:

-1

Step-by-step explanation:

Simplify both sides: 3x + (2(x) + 2(-9)) = 8x + x -14

Add/Combine like terms: 3x+2x= (5x-18) = (9x-14)

New Equation: 5x-18 = 9x-14

add 14 to both sides: 5x-4 = 9x

Subtract 5x from both sides: -4 = 4x

Divide both sides by 4 to get: -1 = x

Answer: x = -1

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The time, t, required to travel a fixed distance varies inversely as the

Lemur [1.5K]

You must travel at 42 mph for 4 hours

Solution:

Time varies inversely as rate of motion

Let "t" be the time required

Let "r" be the rate of motion

Then, we get

$t \propto \frac{1}{r}\\\\t = k \times \frac{1}{r}\\\\t = \frac{k}{r} -------- eqn 1$

Where, "k" is the constant of proportionality

You travel 3 hours at a rate of 56 mph

Substitute t = 3 and r = 56 in eqn 1

$3 = \frac{k}{56}\\\\k = 3 \times 56\\\\k = 168$

Find the rate you must travel for 4 hours

r = ? and t = 4

Substitute t = 4 and k = 168 in eqn 1

$4 = \frac{168}{r}\\\\r = \frac{168}{4}\\\\r = 42$

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3 years ago

Pls solve this ,urgent no spam

aleksklad [387]

Answer:

Question 3

Given expression:

$\sf \left(\dfrac{-8}{9} \times \dfrac{1}{-5}\right)+\left(\dfrac{-8}{9} \times \dfrac{-7}{11}\right)$

Both parentheses share a common term.

To factor out a common term: ab + ac = a(b + c)

$\textsf{Factor out the common term }\dfrac{-8}{9}$

$\sf \implies\dfrac{-8}{9} \times \left(\dfrac{1}{-5}+\dfrac{-7}{11}\right)$

-------------------------------------------------------------------------------------------------

Question 4

To calculate the amount of money Rajni had to begin with, sum the three amounts she spent:

$\sf \implies total=10\frac14+25\frac34+16\frac12$

As $\sf a\frac{b}{c}=a+\frac{b}{c}$ , then:

$\sf \implies 10+\frac14+25+\frac34+16+\frac12$

Collect and sum the whole numbers:

$\sf \implies (10+25+16)+\frac14+\frac34+\frac12$

$\sf \implies 51+\frac14+\frac34+\frac12$

As $\sf \frac14+\frac34=\frac44=1$ , then

$\sf \implies 51+1+\frac12$

$\sf \implies 52+\frac12$

$\sf \implies 52\frac12$

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2 years ago

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4 years ago

Todd scored 132 points in 12 games. Terry scored 81 points in 8 games. Which rate is better?

olga_2 [115]

Answer:

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3 years ago

Read 2 more answers

Jaime has 5 over 11 spaceof a project completed while Tim has finished 7 over 13 spaceof the same project.

faust18 [17]

Answer:

a. Tim has completed a greater amount of work.

b. Together they have completed $\frac{142}{143}$ part of two projects.

Step-by-step explanation:

Let us assume that the project on which Jaime and Tim are working has x amount of space.

Now, given that Jaime has 5 over 11 space of a project completed while Tim has finished 7 over 13 space of the same project.

Therefore, Jaime has completed $\frac{5x}{11}$ amount of space and Tim has finished $\frac{7x}{13}$ amount of space.

a. Now, (7x) \times 11 > (5x) \times 13

⇒ $\frac{7x}{13} > \frac{5x}{11}$

Therefore, Tim has completed the greater amount of work. (Answer)

b. Together they have completed $(\frac{7x}{13} + \frac{5x}{11}) = \frac{(7 \times 11 + 5 \times 13)}{13 \times 11} x = \frac{142}{143}x$ amount of space out of 2x amount of space. (Answer)

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3 years ago