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3 years ago

Solve the following equation 2x/3 - x/5 = 7 Please help

1 answer:

5 0

Multiply all terms by 15 to get rid of fractions
10x-3x=105

Combine like terms
7x=105

Divide both sides by 7
x=15

Final answer: x=15

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What value of x makes this equation true?<br> -12 + 5x = -24 + x

Alex

Answer:

Step-by-step explanation:

-12+5x=-24+x

4x=-12

x=-3

4 0

3 years ago

Dan built deck that is 5 feet long and 5 feet wide He built another deck that is 5 feet long and 7 wide. He built a third deck t

Elodia [21]

As the width gets larger so does the total area

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4 years ago

HELP!!! HURRY!!! NO SPAM!!!! Identify the translation of the figure with the vertices W(2,−3), X(5,−3), Y(5,−5) and Z(2,−5), alo

kakasveta [241]

Answer:

W - (-4,4)

X - (-1,4)

Y - (-1,2)

Z - (-4,2)

Step-by-step explanation:

hope it helps. :)

6 0

3 years ago

Please help me with question 4!

Minchanka [31]

Answer:

I think that there might be some complex differential equation

stuff going on here if this were in the real world, but for the sake of this problem... may I suggest that the tank is filling up at a rate of

1/8 of a tank per hour...

it is evaporating at a rate of 1/12 tank per hour

you can subtract the rates

1/8 - 1/12 = 12/96- 8/96 = 3/96 = 1/32 tank/hr

so to fill the tank it should take 32 hours...

I think the logic and math work... lets see if someone else will verify this analysis?

Step-by-step explanation:

6 0

3 years ago

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 9090% of all males. (Accommodating 1

Molodets [167]

Answer:

Hip breadths less than or equal to 16.1 in. includes 90% of the males.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14.5

Standard Deviation, σ = 1.2

We are given that the distribution of hip breadths is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.10.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 14.5}{1.2})=0.10$

$= 1 -P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.10$

$=P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.90$

Calculation the value from standard normal z table, we have,

$P(z < 1.282) = 0.90$

$\displaystyle\frac{x - 14.5}{1.2} = 1.282\\x = 16.0384 \approx 16.1$

Hence, hip breadth of 16.1 in. separates the smallest 90% from the largest 10%.

That is hip breaths greater than 16.1 in. lies in the larger 10%.

4 0

3 years ago