If a system of linear equations has infinitely many solutions, then the graph of the system is:

The length of a rectangular garden is 8 feet longer than its width. the garden's perimeter is 184 feet. find the length of the g

Brilliant_brown [7]

Width: W
Length: L = W + 8

Perimeter = 2W + 2L = 2(W) + 2(W+8) = 184 (ft)

Solving for W: 2W + 2W + 16 = 184 (ft)
4W = 168 ft, and so W = 42 ft.

The length, L, is (42 + 8) ft = 50 ft. (answer)

5 0

3 years ago

A business owner issues a paycheck in the amount of two thousand, three hundred fifty-seven dollars and forty-nine cents. What i

vivado [14]

The numerical value of the first check will be $2,357.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A business owner issues a paycheck in the amount of two thousand, three hundred fifty-seven dollars and forty-nine cents.

Then the numerical amount of this check will be

The numerical value of the check will be

Two thousand, three hundred fifty-seven dollars and forty-nine cents = $2,357.49

The numerical value of the first check will be $2,357.49.

More about the Algebra link is given below.

brainly.com/question/953809

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8 0

1 year ago

3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round

Mariana [72]

The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone : $V=\pi r^{2} \frac{h}{3}$ = $3.14 \times 9^{2} \times \frac{14}{3}$ = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³).