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2 years ago

8

A mattress store sold 1,330 mattresses in one year. If 30% of the mattresses sold were king size mattresses, how many king size

mattresses did the store sell

2 answers:

Ksju [112]2 years ago

4 0

Answer: 399

Step-by-step explanation:

Given : A mattress store sold 1,330 mattresses in one year.

If 30% of the mattresses sold were king size mattresses , then the number of king size mattresses would be

30% of 1330

Replace 'of' be Multiply sign '×' and convert percent into decimal by divide it by 100 , we get

$\dfrac{30}{100}\times1330=\dfrac{39900}{100}=399$

Therefore , the number of king size mattresses were sold = 399

kodGreya [7K]2 years ago

3 0

The total number of mattresses that are sold in a year = 1,330

Percentage of King size mattresses sold = 30% = 30/100 = 0.3

Next, we have to calculate the actual number sold by using the formula given below:

Number of king size mattresses sold = Total mattresses sold in a year * percentage of king size mattresses sold

Number of King Size mattresses sold = 1,330*0.3 = 399

Number of king size mattresses sold = 399

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A cylindrical roller 2.5 m in length, 1.5 m in radius when rolled on a road was found to cover the area of 16500 m2 . How many r

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Answer:

701 revolutions

Step-by-step explanation:

Given: Length= 2.5 m

Radius= 1.5 m

Area covered by roller= 16500 m²

Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.

Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.

Formula; Lateral surface area of cylinder= $2\pi rh$

Considering, π= 3.14

⇒ lateral surface area of cylinder= $2\times 3.14\times 1.5\times 2.5$

⇒ lateral surface area of cylinder= $23.55 \ m^{2}$

∴ Area covered by cylindrical roller in one revolution is 23.55 m²

Next finding total number of revolution to cover 16500 m² area.

Total number of revolution= $\frac{16500}{23.55} = 700.6369 \approx 701$

Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.

8 0

2 years ago

The hypotenuse of a 45 -45° -90° triangle measures 18 cm. What is the length of one leg of the triangle?

sdas [7]

<h2>Steps</h2>

So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:

$x\sqrt{2} =18$

From here we can solve for x. Firstly, divide both sides by √2.

$x=\frac{18}{\sqrt{2}}$

Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:

$\frac{18}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{18\sqrt{2}}{2}\\\\\\x=\frac{18\sqrt{2}}{2}$

Next, divide:

$x=9\sqrt{2}$

<h2>Answer</h2>

<u>In short, the length of one leg of the triangle is 9√2 cm.</u>

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2 years ago

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Given directed line segment QS , find the coordinates of R

Degger [83]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, what are the coordinates of point Q and R. But I would show how to solve this.

The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at ( $x_1,y_1$ ) and B( $x_2,y_2$ ) is given by the formula:

$x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1$

If point Q is at ( $x_1,y_1$ ) and S at ( $x_2,y_2$ ) and R(x, y) divides QS in the ratio QR to RS is 3:5, The coordinates of R is:

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Let us assume Q(−9,4) and S(7,−4)

$x=\frac{3}{8}(7-(-9))+(-9)=\frac{3}{8}(16)-9=-3\\\\y=\frac{3}{8}(-4-4)+4=\frac{3}{8}(-8)+4=1$

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2 years ago

Wendy opens a bank account with money she has saved. After this initial deposit, Wendy then deposits the same amount of money ea

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If the table is:

x | y

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1 | 76

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2 | 92

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3 | 108

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4 | 124

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108 - 92 = 16

etc.

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2 years ago

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At 60°,

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2 years ago