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3 years ago

Make w the subject of aw-x=3w+2

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

Answer:

w = x+2/a−3

Step-by-step explanation:

Let's solve for w

aw−x=3w+2

Step 1: Add -3w to both sides

aw−x+−3w=3w+2+−3w

aw−3w−x=2

Step 2: Add x to both sides

aw−3w−x+x=2+x

aw−3w=x+2

Step 3: Factor out variable w

w(a−3)=x+2

Step 4: Divide both sides by a-3

w(a−3)/a−3 = x+2/a−3

w = x+2/a−3

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PLZ HELP ME I DON'T REALLY UNDERSTAND<br><br> M-7<6

KATRIN_1 [288]

M-7<6

add 7 to each side

M-7 +7 < 6+7

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3 years ago

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Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

denis23 [38]

<h2>Answer: 2.8 miles</h2>

Step-by-step:

We can write it in the proportion $\frac{7}{60} = \frac{x}{24}$

where x is our number of miles trying to find

We now cross multiply or use the butterfly method which I will demonstrate both

<h3>Cross Multiply</h3>

We multiply the numerator with the dominator

so $7 multiplied by 24$

and $60 multiplied by x$

$7*24=60x$

$168=60x$

$\frac{168}{60} =\frac{60x}{60}$

$2.8=x$ or $x=2.8$

Now for the

<h3>Butterfly Method </h3>

You would do 7 times 24 divided by 60 or $\frac{7*24}{60}$

Then $\frac{168}{60}$ simplify

$2.8$ so 2.8 miles in either method

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2 years ago

Sanjay has £356.54 in his bank account. He spends £595.99 on a new mountain bike. What is his new bank balance?

Vaselesa [24]

your answer would be -239.45.

356.54

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

-239.45

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3 years ago

A triangle has side lengths of 24 cm, 24 cm, and 24 cm.

zhenek [66]

Answer:

equilateral

Step-by-step explanation:

In an equilateral triangle, all sides and angles are equal.

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3 years ago

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3 regions are defined in the figure find the volume generated by rotating the given region about the specific line

anastassius [24]

The volume generated by rotating the given region $R_{3}$ about OC is $\frac{4}{g} \pi$

<h3>Washer method</h3>

Because the given region ( $R_{3}$ ) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

We first find the value of x and y

$y=2(x)^{\frac{1}{4} }$

$x=(\frac{y}{2} )^{4}$

$y=2x$

$x=\frac{y}{2}$

$\int\limits^a_b {\pi } \, (R_{o^{2} } - R_{i^{2} } ) dy$

$R_{o} = x = \frac{y}{2}$

$R_{i} = x= (\frac{y}{2}) ^{4}$

$a=0, b=2$

$v= \int\limits^2_o {\pi } \, [(\frac{y}{2})^{2} - ((\frac{y}{2}) ^{4} )^{2} ) dy$

$v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }} ] dy$

$v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]$

$v=\pi [\frac{1}{4} \frac{y^{3} }{3} \int\limits^2_0 - \frac{1}{2^{8} } \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi$

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

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1 year ago