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11Alexandr11 [23.1K]
3 years ago
9

jade buys a blouse and a skirt for 3/4of thier original price jade pays a total of 31.50 for the two items if the original price

of the blouse is 18 what is the original price of the skirt write an equation to represent the situation and use the disributive property to solve show your work
Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0

Answer: the original price of the skirt is $24

Step-by-step explanation:

Let x represent the original price of the skirt. if the original price of the blouse is 18, then the original price of the skirt and blouse is (x + 18)

Jade buys a blouse and a skirt for 3/4of their original price. It means that the amount at which she bought the skirt and blouse is

0.75(x + 18)

Applying the distributive property, it becomes

0.75x + 13.5

Jade pays a total of 31.50 for the two items. It means that

0.75x + 13.5 = 31.5

0.75x = 31.5 - 13.5

0.75x = 18

x = 18/0.75

x = $24

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A cylinder has a diameter of 6 feet. the volume of the cylinder is 36/5π cubic feet.
Anton [14]

Answer:

Height of cylinder is \frac{4}{5}\ ft.

Step-by-step explanation:

Diameter of cylinder, D = 6 feet

Relation between Radius, R and diameter, D is given by:

R = \dfrac{D}{2}

So, radius, R = \frac{6}{2} \Rightarrow 3 feet

Let height of cylinder be h feet.

Formula for volume of cylinder is given by:

V = \pi R^{2} H

Where, R is the radius of base of cylinder

and H is the height of cylinder

We are given that,

V = \dfrac{36 \pi}{5} ft^{3}

Using formula for volume, V = \pi R^{2} H

\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft

Hence, Height of cylinder is \frac{4}{5}\ ft.

7 0
3 years ago
A grocery store offers a 10% discount on your entire purchase when you spend more than $50. You have $117 to spend on groceries
Fynjy0 [20]
Hope this helps you

7 0
3 years ago
What 2 numbers can be added to make 16 as well as multiplied to make -36
Sladkaya [172]

Answer:

18 and -2

Step-by-step explanation:

Let x = 1st no.

y = 2nd no.

(1)    x + y = 16            (2)     xy = -36

           y = 16 - x                 x(16 - x) = -36

                                           16x - x^{2} = -36\\x^{2}  - 16x - 36 = 0\\

                                           (x - 18)(x + 2) = 0

                                               x = 18   or x = -2

          y = 16 - 18 = -2

         y = 16 -(- 2) = 16 + 2 - 18

The two numbers are 18 and -2

3 0
3 years ago
A population of 30 deer is introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 200 deer,
gogolik [260]

Answer:

After one year the population will be 33 deers, and after two years it will be 36 deers.

Step-by-step explanation:

Given that a population of 30 deer is introduced into a wildlife sanctuary, and it is estimated that the sanctuary can sustain up to 200 deer, and absent constraints, the population would grow by 10% per year, to predict the population after one year and after two years, the following calculations must be performed:

A)

30 x 1.1 = X

33 = X

B)

30 x 1.1 ^ 2 = X

30 x 1.21 = X

36.3 = X

Therefore, after one year the population will be 33 deers, and after two years it will be 36 deers.

7 0
3 years ago
Find the equation of (2,3), slope 4
zhenek [66]

Answer:

y=4x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=4(x-2)

y=4x-8+3

y=4x-5

Please mark me as Brainliest if you're satisfied with the answer.

3 0
2 years ago
Read 2 more answers
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