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2 years ago

Simplify 3xy - 9xy + 11y

Mathematics

2 answers:

iogann1982 [59]2 years ago

5 0

-6xy+11y
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Aleonysh [2.5K]2 years ago

3 0

-y · (6x-11)

Hope that helps

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The sum of three integers is 92. The second number is three times the first number. The third number is ten less than twice the

daser333 [38]

X+y+z=92

y=3x

z=2x-10
subsitute
x+3x+2x-10=92
6x-10=92
add 10 to both sdies
6x=102
divide by 6
x=17
subsitute

y=3x
y=3(17)
y=51

z=2x-10
z=2(17)-10
z=34-10
z=24

x=17
y=51
z=24

the numbers are 17,51,24

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Answer: 4

Step-by-step explanation:

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George usually takes 1.5 hours to mow his neighbor’s grass and trim the bushes. Today he has only 0.75 of the usual amount of ti

g100num [7]

Anyhoot, you can multiply 1.5 by 0.75 to find the time. And you can multiply by 60 to get 67.5 minutes, aka, 1.125 hours

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A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell

guapka [62]

Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

The number of wind chimes sold per month will become 140 - 7x

$\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}$

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum

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2 years ago

Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the

Assoli18 [71]

The diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.

<h3>What is of volume of cylinder?</h3>

Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of the cylinder can be given as,

$V=\pi r^2h$

Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.

Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the diameter of the barrel was.

She needs to know the diameter so that she can build a platform for it to sit on.

The seller told her the volume of the barrel is 6,925pi cubic in and its height is 38 in.

$V=\pi r^2h\\6925=\pi r^2(38)\\\dfrac{6925}{38\pi}= r^2\\r=\sqrt{\dfrac{6925}{38\pi}}\\r\approx7.62 \rm\; in$

The diameter of the cylinder is twice the radius of it. Thus, the diameter of the cylinder is,

$d=7.62\times2\\d=15.23\rm\\d\approx15\rm\; in$

Thus, the diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.

Learn more about the volume of cylinder here;

brainly.com/question/12748872

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