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Stells [14]
3 years ago
13

(MARKING BRAINLIEST) Kareem cannot decide which of two washing machines to buy. The selling price of each is ​$390. The first is

marked down by ​40%. The second is marked down by 10​% with an additional ​30% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the machines are the same except for the selling price.
Mathematics
2 answers:
azamat3 years ago
6 0
The selling price is $495
Tems11 [23]3 years ago
5 0

Answer:

See explanation

Step-by-step explanation:

The selling price is ​$495.

The first washing machine:

- is marked down by 30​%

$495 - 100%

$x - 100% - 30% = 70%

Find the value of x:

The second washing machine:

- is marked down by 20​% with an additional 10​% off

$495 - 100%

$y - 100% - 20% = 80%

Find y:

Now,

$396 - 100%

$z - 100% - 10% = 90%

Find z:

Thus, the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.

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Answer: (0,1), (1,0)

Step-by-step explanation:

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5 0
2 years ago
The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3
Zepler [3.9K]

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

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a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

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

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

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

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

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D. a base area of 16y² square units and height of y² + y + 3 units

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Step-by-step explanation:

7 0
3 years ago
Sin(20)=x/670 ????????
mash [69]

Answer:

229.2

Step-by-step explanation:

Remark

There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.

The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.

So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.

Formula

Just as you have it

Sin(20) = x / 670

Solution

Multiply both sides by 570

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sin(20) = 0.3420

x = 670 * 0.3420

x = 229.2

6 0
3 years ago
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