What is the correct choice for this question ???

Answers

Answer 1

Answer: The answer would be C, 61 years old, because if the ages were consecutive, the youngest would be 59, then the next oldest would be 60, then the oldest would be 61. 59+60+61=180

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At a cost of $2.50 per square yard, what would be the price of carpeting a rectangular ﬂoor, 18 ft x 24 ft?
Which equation is true when b = -4?A b/4 + 5.5 = 4.5B -54 + 2b = -46С 7b - 8 = -20D b/8 - 6 = -8
Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?
What is the solution to y = 0.7x for the replacement set x = {2}?.
lucas and erick are factoring the polynomial 12x3 – 6x2 8x – 4. lucas groups the polynomial (12x3 8x) (–6x2 – 4) to factor. erick groups the polynomial (12x3 – 6x2) (8x – 4) to factor. who correctly grouped the terms to factor? explain.

A cosmetics company that makes small cylindrical bars of soap wraps the bars in plastic prior to shipping. Find the surface area of a bar of soap if the diameter is 5cm and the height is 2cm.

Answers

we would have two circles of 5cm diameter each, and a rectangle of the length pi*diameter and 2cm, so lets add them:
total = 2circles + rectangle
total = 2(2*pi*(5/2)^2) + pi*diameter*heigth
= 4*pi*(2.5)^2 + pi*5*2
= 109.9
that is the surface area of a bar soap 109.9 cm^2

The formula you use is pi x radius ^ 2 + pi x radius x l ( l stands for lateral height)
pi x 2.5^2 + pi x 2.5(2)
3.14 x 6.25 + 3.14 x 5
19.6 + 15.7
= 35.3 cm^2

The isosceles triangle has a perimeter of 7.5 m. Which equation can be used to find the value of x if the shortest side, y, measures 2.1 m?

Answers

Answer:

Equation used to solve for x is 2x + 2.1 = 7.5

The value equal sides of triangle is 2.7 m

Step-by-step explanation:

Given: The isosceles triangle has a perimeter of 7.5 m and the shortest side, y, measures 2.1 m.

We have to find the value of x.

Since y is shortest sides and the triangle given is isosceles thus the other two sides must be equal.

So, length of two equal sides is x.

Then equation becomes,

⇒ x + x + y = 7.5

⇒ 2x + y = 7.5

Substitute the values of y = 2.1 , and solve for x, we have

⇒ 2x + 2.1 = 7.5

Subtract 2.1 both side, we get,

⇒ 2x = 7.5 - 2.1

Divide both side by 2, we get,

⇒ x = 2.7

Thus, the value equal sides of triangle is 2.7 m.

An isosceles triangle has 2 sides of the same length and one side that's not the same length.

So it says the shortest side, y, is 2.1m, so that means it's the side that is not the same length as the other two sides.

But the other two sides will be the same length. Let's make those 2 sides x.

The equation would be
x + x + 2.1 = 7.5

And with that you can find x.

What is the surface area of the prism? A. 138 yd2 B. 192 yd2 C. 264 yd2 D. 272 yd2

Answers

In order to find the area of the triangular prism, we need to find the area of each of the figures that make it up. It might help if you draw the triangles and rectangles that make up the prism individually.

Let's start with the two triangles at either end of the prism.

A = 1/2bh Area of a triangle
A = 1/2(6)(8) Substitute
A = 24 Multiply / Divide

We now know that the area of the triangle at the end of the prism is 24 yd². However, since there are two of these triangles, we'll need to multiply that by 2. So, in total, the area of the two triangles is 48 yd².

There are three more rectangles that we need to find the area for: the base of the prism, the vertical edge of the prism, and the slanted edge of the prism.

A = lw Area of a rectangle
A = (9)(10) Area of the slanted edge
A = 90 yd² Multiply

A = (9)(6) Area of the base
A = 54 yd² Multiply

A = (8)(9) Area of the vertical edge
A = 72 yd²

We now have the area for both triangles and each rectangle. Now, all we have to do is add these together to get the total surface area!

72 + 54 + 90 + 48 = 264 yd²
Surface Area = 264 yd²

The answer is 264 yd², or answer choice C.

A company makes a product and has no way to determine which ones are faulty until an unhappy customer returns it. Three percent of the products are faulty and will cost the company $200 each in customer service and repairs. If the company does not refund the customer when repairing the item, how much should the company charge to make a profit of $2.00 per item? $6.00 $6.19 $8.00 $8.25

Answers

(x) - (0.03)(200) = 2.00
Let x be the company charge to make the profit

solving for x gives 8$

Answer: $8.00

Step-by-step explanation:

Given: Percent of products which are faulty=3%=0.03

Cost of each faulty product =$200

Let x be the company charge to make the profit .

According to the question,

$x-0.03*200=2.00\n\Rightarrow\ x-6.00=2.00\n\Rightarrow\ x=2.00+6.00\n\Rightarrow\ x=$8.00$

Hence, the company should charge $ 8.00 to make a profit of $2.00 per item.

Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes. Let x represent the number of quick washes and let y represent the number of premium washes. Which system of linear equations represents the situation? 5x + 8y = 775 and x + y =125 5x – 8y = 125 and x + y = 775 5x + 8y = 775 and x – y = 125 5x – 8y = 125 and x – y = 775