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3 years ago

Could someone help me with this?

Mathematics

1 answer:

Olegator [25]3 years ago

6 0

Answer:

1. 18.74%

2. 33.34%

3. 45.5%

4. 20%

5. 33.11%

6. 16.38%

Step-by-step explanation:

1. For Shoes, the actual price is $79.99 and the selling price is $65.00.

The discount is $\frac{79.99 - 65}{79.99} \times 100 = 18.74$ %.

2. For 12 pack og golf balls, the actual price is $29.99 and the selling price is $19.99.

The discount is $\frac{29.99 - 19.99}{29.99} \times 100 = 33.34$ %.

3. For Exercise bike, the actual price is $1099 and the selling price is $599.

The discount is $\frac{1099 - 599}{1099} \times 100 = 45.5$ %.

4. For Basketball, the actual price is $49.99 and the selling price is $39.99.

The discount is $\frac{49.99 - 39.99}{49.99} \times 100 = 20$ %.

5. For Sports socks, the actual price is $14.95 and the selling price is $10.00.

The discount is $\frac{14.95 - 10}{14.95} \times 100 = 33.11$ %.

6. For Hockey sticks, the actual price is $299 and the selling price is $250.

The discount is $\frac{299 - 250}{299} \times 100 = 16.38$ %.

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I need to find the answer to this question and please explain how.

deff fn [24]

Among the given statements, the true statements are:

If a number is divisible by 3 and 4, then it is divisible by 12.
The number 119 is a composite number.

In the question, we are asked for the true statements among the given options:

1. All even numbers are composite numbers.

Answer - False

Reason - 2 is an even number, which is not a composite number.

2. If a number is divisible by 3 and 4, then it is divisible by 12.

Answer - True

Reason - If any number, n, is divisible by any two numbers, x and y, then it is also divisible by their LCM, and the LCM of 3 and 4 is 12.

3. All prime numbers are odd numbers.

Answer - False

Reason - 2 is a prime number, which is not odd.

4. The number 119 is a composite number.

Answer - True

Reason - The number 119 is a composite number, as it is not a prime number, as it is divisible by 7 and 17 too, other than 1 and itself.

5. 12 is a factor of 6.

Answer - False.

Reason - When 6 is divided by 12, the integral quotient that we get is 0, and the remainder is 6, but for any number x, to be a factor of y, on dividing y by x, the remainder should be 0.

6. If a number is divisible by 6 and 4, then it is also divisible by 4.

Answer - False

Reason - If any number, n, is divisible by any two numbers, x and y, then it is also divisible by their LCM, and the LCM of 6 and 4 is 12.

Thus, a number divisible by 6 and 4 is divisible by 12 but not necessarily by 24. Example 12 is divisible by both 6 and 4 but not divisible by 24.

Thus, among the given statements, the true statements are:

If a number is divisible by 3 and 4, then it is divisible by 12.
The number 119 is a composite number.

Learn more about divisibility at

brainly.com/question/26789053

#SPJ9

8 0

2 years ago

The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i

Hunter-Best [27]

Answer:

$(x+3)^2+(y+11)^2=121$

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

Blue line is given by y = 4x + 1.
Point B is the center of the circle.
Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the general equation of the circle of radius lenght r centered at (h, k) is given by

$(x-h)^2+(y-k)^2=r^2$

then with h = -3, k = -11 and r= 11, the equation of our circle is

$(x+3)^2+(y+11)^2=121$

5 0

3 years ago

Sam is filling up his pool. The water hose filled the 315 gallon pool in 45 minutes. At what rate did the hose fill the pool in

Serhud [2]

Answer:

7 gallons per minute

Step-by-step explanation:

315/45 = 7

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g100num [7]

Given the radius, circumference can be solved by the equation, C = 2πr. The circumference of the circle above is C = 2π(8 in) = 16π in. To solve for the length of the segment joining the arc is the circumference times the ratio of central angle and 360 degrees.

Length of the segment = (16π in)(60/360) = 8/3 π in

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Answer:

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