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GalinKa [24]
2 years ago
9

At a sale this week, a suit is being sold for $296.40. This is a 62% discount from the original price. What was the original pri

ce?
Mathematics
2 answers:
Soloha48 [4]2 years ago
7 0
Suppose the original price to be x.
62%x=296.4
Divide both sides by 62% to get x=478, which is the original price.
Dominik [7]2 years ago
7 0

Answer:

Rounded: $478.06

Step-by-step explanation:

Set up an equation:

Variable x = original price

62/100 = 296.40/x

Cross multiply

62 × x = 100 × 296.40

62x = 29,640

Divide both sides by 62:

x = 478.064516....

Round to nearest cent (hundredths place):

x = 478.06

Check your work (using the rounded estimate will be close to $296.40 but not exact because it is rounded; once you round your answer and it should match):

478.06 × 62%

Convert the percentage into a decimal:

478.06 × 0.62

296.3972

Round to the nearest cent (hundredths place):

296.40

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a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base s
slavikrds [6]

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane  so that the two solids of equal weight will be formed.

<u>It is assumed that weight of pyramid is proportional to its volume.</u>

So,   w  = k V , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h  distance,  pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is,   V= \frac{1}{3}  *A* 5

So, weight of original pyramid,  W = k *(\frac{1}{3}  *A* 5) = 800

Volume of small pyramid is,  v = \frac{1}{3}* a* h

So, weight of small pyramid, w = k*(\frac{1}{3}* a* h)=400

<u>Since, base and height of small pyramid and original pyramid are in proportion.</u>

So,  \frac{a}{A}  = (\frac{h}{5}) ^{2}

       a = (\frac{h}{5} )^{2}A

Substituting value of a in  equation k*(\frac{1}{3}* a* h)=400

So, k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400

       (k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400

Since, (k *\frac{1}{3}  *A* 5) = 800, substitute in above equation.

    So, 800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet

Learn more:

brainly.com/question/17950304

6 0
2 years ago
Read 2 more answers
Miss Wilton is planning a rectangular flower box for her front window she wants the flower box to hold exactly 16 cubic feet of
Sav [38]

Answer:

Three rectangular boxes having bases 4 cubic feet, 3 cubic feet and 2 cubic feet respectively will be required to hold 16 cubic feet of soil.

The dimensions of the three rectangular boxes will be 4 \times 1 \times 2, 3 \times 1 \times 2, and 2 \times 1 \times 1.

Step-by-step explanation:

The total soil to be held is 16 cubic feet.

The volume of a rectangular box is given by the product, lbh, where l is the length, b is the base and h is the height.

16 cubic feet of volume can be divided into two different volumes having values 8 cubic feet, 6 cubic feet and 2 cubic feet, to get two set of dimensions having different bases.

To get the first value of volume, 8 cubic feet, the length, base and height can be 1 foot, 4 feet and 2 feet respectively.

To get the second value of volume, 6 cubic feet, the length, base and height can be 1 foot, 3 feet and 2 feet respectively.

To get the other value of volume, 2 cubic feet, the length, base and height can be 1 foot, 2 feet and 1 foot respectively.

Since, all the three boxes have to be rectangular in shape, the base has to be more than the other two dimensions to get the required volumes as explained above.

If the number of rectangular boxes are increased, the dimensions would not be whole numbers as per the requirement.

The above mentioned can be shown in calculations as given below.

Volume of the first rectangular box

= lbh

= 1 \times 4 \times 2

= 8

Thus, the volume of the first rectangular box is 8 cubic feet.

Volume of the second rectangular box

= lbh

= 1 \times 3 \times 2

= 6

Thus, the volume of the second rectangular box is 6 cubic feet.

Volume of the other rectangular box

= lbh

= 1 \times 2 \times 1

= 2

Thus, the volume of the third rectangular box is 2 cubic feet.

Total volume of both boxes

= 8 + 6 + 2

= 16 cubic feet

7 0
3 years ago
Y’all help, I have no idea what sec is or how to find it
IRINA_888 [86]
Sec is the length of the hypotenuse divided by the length of the adjacent side.

Meaning divide 20/16

Meaning your secant or sec is 1.25 or 1 1/4
7 0
3 years ago
H=-16t^2+368
elixir [45]
The vertex and the t-intercept where t>0, will help solve this problem. Sending the work on the attachment.

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3 years ago
What is the y- intercept of the graph of 2x + y = -4?
Brrunno [24]

First write the equation in slope-intercept form which is more commonly known as <em>y = mx + b</em> form where the <em>m </em>or the coefficient of the x term represents the slope of the <em>b</em> or the constant term represents the y-intercept.

Subtract 2x from both sides to get <em>y = -2x - 4</em>.

I put the x term first because that's how it is in y = mx + b form.

Now we can see that the <em>b</em> or the constant term is -4.

We can write this as the ordered pair (0, -4).

Keep in mind when writing a y-intercept as an ordered pair, your x-coordinate will always be 0 in the ordered pair.

8 0
3 years ago
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