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2 years ago

Brainliest available Simplify

Mathematics

2 answers:

olasank [31]2 years ago

7 0

Answer:

8x^3y^3

Step-by-step explanation:

Thats the answer but the ones with the symbol are up

Rasek [7]2 years ago

7 0

To simplify this, we must simply power every component within the parentheses by 3

$(2xy)^3=2^3*x^3*y^3 = 8x^3y^3$

Hope that helps!

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32 3/4 - 12 1/2 ??????????????

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32 3/4-12 1/2
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3 years ago

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A local improvement store sells different sized of storage sheds. The most expensive shed has a footprint that is 15 feet wide b

Mekhanik [1.2K]

Answer:

Question 1: Are the footprints of the two sheds similar?

Yes, the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction,

It is a reduction

Question 3: Find the scale factor from the most expensive shed to the least expensive shed

The scale factor is 3/2

Explanation:

Question 1: Are the footprints of the two sheds similar?

The footprints of the two sheds will be similar if their measures are proportional.

The ratio of the measures of the footprint of the most expensive shed is:

width/length = 15 feet / 21 feet = 5 / 7

The ratio of the measures of the footprint of the least expensive shed is:

width/length = 10 feet / 14 feet = 5 / 7

Since, the two ratios are equal, you conclude that the corresponding dimensions are proportional and the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction.

A reduction is a similar transformation (the image and the preimage are similar) that maps the original figure into a smaller one.

Since the dimensions of the foot print of the least expensive shed, 10 feet wide by 14 feet long, are smaller than the dimensions of the most expensive shed, 15 feet wide by 21 feet long the you conclude that the former is a reduction of the latter.

Question 3: Find the scale factor from the most expensive shed to the least expensive shed.

To find the scale factor from the most expensive shed to the least expensive shed, you divide the measures of the corresponding dimensions. You can do it either with the widths or with the lengths.

Using the widths, you get:

width of the foot print of the most expensive shed / width of the foot print of the least expensive transformation

15 feet / 10 feet = 3/2.

That means that the scale factor from the most expensive shed to the least expensive shed is 3/2.

Using the lenghts, you should obtain the same scale factor:

length of the foot print of the most expensive shed / length of the foot print of the least expensive transformation

21 feet / 14 feet = 3/2. Such as expected.

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3 years ago

the monthly budget for the front of the house is $18,000. you spent 9% of the budget on fresh flowers. How much did you spend on

Kipish [7]

To find how much was spent on fresh flowers, we just multiply 9% to the monthly budget, which is $18,000.

To multiply a percent to a number, we must first turn the percent into a decimal. Just divide the percent by 100 to get the decimal form. 9% is 0.09.

$0.09 \times 18000 = 1620$

$1620 was spent on fresh flowers (that's quite a lot of money!)

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3 years ago

Ruby Company produces a chair for which the standard specifies 5 yards of material per unit. The standard price of one yard of m

azamat

Answer

given,

Standard price = $ 7.50

8,500 chairs were manufactured, using 43,600 yards at a cost of $7.55 per yard.

Price Variance = Actual Quantity x (Actual Rate - Standard Rate)

= 43,600 x (7.55 - 7.50)

= 2180 (U)

Quantity Variance = Standard Rate x (Actual Quantity - Standard Quantity)

= 7.5 x (43600 - 8500 x 5)

= 8250 (U)

Cost Variance = 2180+ 8250 = 10430 (U)

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4 years ago

At the bargain store , Tanya bought 3 items that each cost the same amount. Tony bought 5 items that each cost the same amount b

Afina-wow [57]

Answer:

"Tanya bought 3 items that each cost the same amt"

"Let x represent the cost of one of Tanya's items"

So, Tanya bought 3 items, costing x+x+x = 3x

Note that (number of items)*(cost per item) = (number of items)*(cost/item) = cost, [item cancels out]

"Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought."

The cost for Tony's items was: (x-2.25)+(x-2.25)+(x-2.25)+(x-2.25) = 4*(x-2.25)

"Tanya and Tony paid the same amt. of money"

This is an equation (the same amount means equals)

Tanya's cost = Tony's cost

a.) Write an equation. Let x represent the cost of one of Tanya's items

3x = 4(x-2.25)

Now, the math:

b.) Solve the equation. Show your work.

3x = 4(x-2.25)

3x = 4x - 9.00 [distributive principle; multiply]

-x = -9.00 [subtract 4x from both sides; option, could instead add 9.00, then subtract 3x from both sides, getting 9.00=x]

x = 9.00 [multiply both sides by (-1)]

[note: to "solve for x" means to find the value(s) of x that make the equation true,

so let's see if it is true --]

c.) Check your solution. Show your work.

Is 3x = 4(x-2.25), when x=9.00 ?

3(9.00) = 4(9.00-2.25) ?

27.00 = 36.00 - 9.00 ?

27.00 = 27.00 ?yes

d) State the solution in a complete sentence.

The problem started with: "Tanya bought 3 items that each cost the same amt. Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought. Both Tanya and Tony paid the same amt. of money."

I would write: "Tanya bought 3 items, each costing $9.00. Tony bought 4 items, each costing $6.75. Tanya and Tony each paid $27.00."

Step-by-step explanation:

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4 years ago

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