Can somebody help me with this homework

Answer:

Chris is 12 years old and Don is 6 years old.

Step-by-step explanation:

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The present age of Don is 6 years old and Chris age is 12 years.

Two or more expressions with an Equal sign is called as Equation.

Let's denote Don's current age as x.

As Chris is twice as old as Don, Then, Chris's current age is 2x.

Next year, their ages will be x+1 and 2x+1 respectively.

The sum of their ages will be four times as much as Don’s age last year.

(x+1) + (2x + 1) = 4(x-1).

Expanding and solving for x:

3x + 2 = 4x - 4

x = 6

So, Don is 6 years old and Chris is 2×6 = 12 years old.

Hence, the present age of Don is 6 years old and Chris age is 12 years.

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Final answer:

To find the area of Ms. Hendricks' rectangular land, multiply the lengths of the sides (2/5 mile and 5/6 mile), resulting in an area of 1/3 square mile.

Explanation:

The area of a rectangular piece of land is calculated by multiplying the length by the width. For Ms. Hendricks' piece of land, which measures 2/5 mile on one side (length) and 5/6 mile on an adjacent side (width), you would calculate the area by multiplying these two dimensions together:

So, the calculation for the area would be:

(2/5) mile * (5/6) mile = (2*5)/(5*6) square miles = 10/30 square miles = 1/3 square mile.

Therefore, the area is 1/3 square mile.

To find the value of 'a' when a = 37 degrees and b = 6, trigonometry principles are used to calculate 'a' as approximately 34.08 degrees.

Given: a = 37 degrees and b = 6. To find a.

Using trigonometry: We can use the trigonometric ratio tangent to find a. tan(a) = b/c, where c is the hypotenuse. So, tan(37) = 6/c. Therefore, c = 6/tan(37) = 8.37. Hence, a = tan-1(b/c) = tan-1(6/8.37) ≈ 34.08 degrees.

Answer: Therefore, a = 34.08 degrees.

Answer:

3/4

Step-by-step explanation:

Final answer:

24.50 divided in the ratio 3:4 gives £10.50 and £14.00.

Explanation:

To divide £24.50 in the ratio 3:4, you first need to add the parts of the ratio together, which gives you 3 + 4 = 7 parts in total.

Then, you should divide the total amount of money by the total number of parts to find the value of one part.

In this case, £24.50 ÷ 7 = £3.50 per part.

Since the ratio is 3:4, you multiply the value per part by the number of parts for each portion of the ratio.

For the first part of the ratio, you multiply £3.50 by 3, giving £10.50. For the second part, you multiply £3.50 by 4, giving £14.00.

Hence, £24.50 divided in the ratio 3:4 gives £10.50 and £14.00.

If you add the extra 2 inches in each side and give the base a diameter of 24. The area comes out to 452.39. The answer is 452.39.

Area of the metal base of the water heater is equals to 452.6 square inches.

"Area of a circle is the region enclosed by the circle in two dimensional plane."

Formula used

Area of a circle = πr²

Value of π = 22 /7

According to the question,

Given diameter = 20 inches

2 inches extended around the base of the water heater

    New diameter = 24 inches

Therefore, radius = 12inches

Substitute the value of radius and π in the formula we get ,

Area of the base of the water heater = ( 22/ 7) ×(12)²

                                                            = 452.57 square inches

                                                         = 452.6 square inches (nearest tenth)

Hence, area of the metal base of the water heater is equals to 452.6 square inches.

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The reason why it is more difficult to use repeated addition when multiplying two mixed numbers than it is to use repeated addition when you are multiplying a mixed number by a whole number is:

This refers to the mathematical operation that involves to find the product of a set of numbers.

This refers to the type of number that is made up of a whole number and a proper fraction, for example,2 [tex]1/4[/tex].

With this in mind, if we have mixed numbers like  1 1/2 x 2 1/2, and we were to use repeated addition to multiply them, we would have 2 whole groups of 1 1/2, but then we would need to represent 1/2 group which requires multiplying or dividing first.

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To find the number of field trips Cornell's class took last year, we set up the equation 3x + 1 = 7, where x represents the number of trips last year. Solving this, we find that Cornell's class took 2 field trips last year.

The question involves a basic mathematical equation to determine the number of field trips taken by Cornell's class last year. Since this year Cornell's class took 7 trips, and this number is one more than three times the amount of the previous year, we can set up the equation as x being the number of trips taken last year:

3x + 1 = 7

To find x, subtract 1 from both sides of the equation:

3x = 7 - 1

3x = 6

Now divide both sides by 3 to solve for x:

x = 6 / 3

x = 2

So, Cornell's class took 2 field trips last year.

Answer:

a

Step-by-step explanation:

m,n

The required expression for the sales price is 0.85p.

Given that,
A used car lot has all vehicles on sale at a 15% discount. Which expression can be used to find the sale price of a vehicle with an original price of p dollars is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Cost price is the price the buyer pays to the seller for an object or product.

Here,
The original sales price of the card is p dollars,
There is a 15% discount on the sale of cars,
15 % discount,
= p 15/100
= 0.15p
Now, price after discount,
= p - 0.15p
= 0.85p

Thus, the required expression for the sales price is 0.85p.

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Answer:

A.

Step-by-step explanation:

To calculate the area and perimeter of a quadrilateral, you need to know the shape of the quadrilateral and the lengths of its sides. The area can be calculated using different formulas depending on the shape, such as trapezoid, rectangle, parallelogram, or square. The perimeter is calculated by adding the lengths of all the sides.

To calculate the area and perimeter of a quadrilateral, we need to know the shape of the quadrilateral and the lengths of its sides.

1. Area:

2. Perimeter:

Answer: D

55,89

I just did it and I got it right

Step-by-step explanation:

Answer:

The answer is: 1, 2, and 6

Step-by-step explanation:

Answer with Step-by-step explanation:

Diameter of larger circle=8

Diameter of smaller circles=4

We know that radius is half times the diamketer

and Area=πr² where r is the radius

Radius of larger circle=4

Radius of smaller circles=2

Area of larger circle=π×4²

                                =16π

Area of two smaller circles=2×π×2²

                                           = 8π=one-half the area of larger circle

Area of one small circle=π×2²

                                       =4π=one fourth the area of larger circle

Hence, the correct options are:

1.The radius of the large circle is 4.

2.The radii of the small circles are each 2.

6.The total area of the two small circles will be one-half of the area of the large circle.

The measure of an edge of a cube = 4.7 in

We have to determine the surface area of the cube.

The surface area of a cube is the area of the six squares that cover it. The area of one square is [tex] a^{2} [/tex]. Therefore, area of six squares = [tex] 6a^{2} [/tex].

Surface area of cube = [tex] 6a^{2} [/tex] , where a is the edge of a cube

Therefore, Surface area of this cube

= [tex] 6a^{2} [/tex]

= [tex] 6 \times (4.7)^{2} [/tex]

= 132.54 square inches.

Therefore, surface area of the cube is 132.54 square inches.