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3 years ago

What is the solution of this equation -6+5x=6x-7

Mathematics

1 answer:

fomenos3 years ago

5 0

Answer:

x = 1

Step-by-step explanation:

Our goal is to isolate x on one side. So:

-6 +5x = 6x - 7

-6 = x - 7

1 = x

Hope that helped!

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Sarah measured her square garden to have an area of 122 ft 2 . How long is one side of Sarah’s garden?

Mashutka [201]

Answer:

30.5 ft squared

Step-by-step explanation:

First, find the area and shape. If it is a square then you want to divide by four since all sides are equal. So divide 122 by 4 and you get the answer.

<h2><u><em>If you need more help or explanation, follow up in the comments below. :P</em></u></h2>

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3 years ago

Simplify 7.4z - 5 (-1.6z + 2.4) please

Sergeu [11.5K]

The answer is 15.4z-12

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3 years ago

The volume of a cylindrical container

Ray Of Light [21]

Answer:

A. $\frac{3}{4}\textrm{ gal}$

Step-by-step explanation:

Given:

Volume of the cylindrical container before dilation, $V_{i}=1\textrm{ gal}$

Scale factor of the dilation, $SF=\frac{3}{4}$

Therefore, the volume of the dilated cylinder is given as:

$V_{f}=SF\times V_{i}$

Plug in 1 gal for $V_{i}$ and $\frac{3}{4}$ for SF. Solve for $V_{f}$ . This gives,

$V_{f}=\frac{3}{4}\times 1\\V_{f}=\frac{3}{4}\textrm{ gal}$

Therefore, the volume of the dilated cylinder is $\frac{3}{4}$ gallons.

3 0

3 years ago

The listed price of the video game was $34, but the price with tax came to $37.40. Find the percent sales tax.

Katarina [22]

Answer:

10%

Step-by-step explanation:

we want to find what % of 34 is 37.40

so, we will use the following equation:

$\frac{part}{whole} = \frac{percent}{100}$

for this scenario:

part = 37.40

whole = 34

percent = x

now plug in:

$\frac{37.40}{34} = \frac{x}{100}$ cross multiply

34x = (37.40)(100)

34x = 3740 divide both sides by 34

x = 110%

now we know that with tax, we paid 110% of the video game's price

110 - 100 = 10%

so the percent sales tax is 10%

<u>just to check... </u>

34 • 1.10 = $37.40

34 • .10 = 3.40

34 + 3.40 = 37.40

8 0

3 years ago

A space vehicle deploys its re-entry parachute when it's traveling at a vertical velocity of -150 meters/second (negative becaus

Arlecino [84]

The initial velocity is -150m/s.
Remember that:
V(t) = Vi + at, where v(t) is velocity at time t, Vi is initial velocity, and a is acceleration.
We know that the vehicle stopped after 30 seconds, so V(30) = 0.
Let's plug the useful info into our function and solve for a:
0 = -150 + a*30 Add 150 to both sides
150 = 30a Divide both sides by 30
a = 5 m/s²
The average acceleration is 5 meters per second squared.

8 0

4 years ago

Read 2 more answers