a pizza with a diameter of 24 inches is cut into 16 equal slices. to the nearest square inch, what is the area of each slice of the pizza?

When adding make sure you add 4 sides worth of calculations. You have to consider the left and right side (for length) and front and back for the width.

The solution for this problem is:

Side 1 (8+36+8) 
+ 
Side 2 (8+48+8) 
+ 
Side 3 (8+36+8) 
+ 
Side 4 (8+48+8) 
= 232 

The perimeter of the glass tabletop is 232 inches. The option (E) is correct.

To find the perimeter of the glass tabletop, we need to determine its dimensions first. According to the problem, the glass tabletop is 8 inches wider than the pedestal on each side.

Dimensions of the Pedestal:

- Width: 36 inches

- Length: 48 inches

Since the tabletop extends 8 inches beyond the pedestal on each side, we add 16 inches (8 inches on each side) to both the width and the length of the pedestal.

Width of the glass tabletop:

[tex]\[ \text{Width} = 36 \, \text{inches} + 16 \, \text{inches} = 52 \, \text{inches} \][/tex]

Length of the glass tabletop:

[tex]\[ \text{Length} = 48 \, \text{inches} + 16 \, \text{inches} = 64 \, \text{inches} \][/tex]

The perimeter [tex]\( P \)[/tex] of a rectangle is given by:

[tex]\[P = 2 \times (\text{Length} + \text{Width})\][/tex]

Substituting the dimensions:

[tex]\[P = 2 \times (64 \, \text{inches} + 52 \, \text{inches})\\P = 2 \times 116 \, \text{inches} = 232 \, \text{inches}\][/tex]

The correct perimeter of the glass tabletop is [tex]\( 232 \)[/tex] inches.

The complete question is:

A glass tabletop is supported by a rectangular pedestal. If the tabletop is 8 inches wider than the pedestal on each side, what is the perimeter of the glass tabletop?

A) 92 inches

B) 116 inches

C) 176 inches

D) 184 inches

E) 232 inches

The two consecutive even integers whose sum is 126 are 62 and 64.

Let's represent the first even integer as x. Since the next consecutive even integer would be the next even number, we can represent it as x + 2.

The problem states that the sum of these two consecutive even integers is 126. We can set up the equation:

x + (x + 2) = 126

Now, let's solve for x by simplifying and combining like terms:

2x + 2 = 126

Subtract 2 from both sides of the equation:

2x + 2 - 2 = 126 - 2

2x = 124

Divide both sides of the equation by 2 to isolate x:

(2x) / 2 = 124 / 2

x = 62

Now that we have found the value of x, we can find the second consecutive even integer:

x + 2 = 62 + 2 = 64

Therefore, the two consecutive even integers whose sum is 126 are 62 and 64.

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Answer:

Mr. haigwood is not right.

Step-by-step explanation:

The veggie burgers comes in packages of 15 and buns come in packages of 6.

Mr. haigwood wants to serve veggie burgers on buns and wants to have no items left over.

Now, to find the least number of burgers and buns needed so nothing is left over, we will find the LCM of 15 and 6.

15 = 3 x 5

6 = 2 x 3

LCM = 2 x 3 x 5 = 30

As given, Mr. haighwood says that he will have to buy at least 90 of each item 6 x 15 =90.

This is not right. He needs to buy at least 30 of each item so that nothing is left over.

Answer:  The required sum is [tex]6x^4-x^3-5x^2+10x+5.[/tex]

Step-by-step explanation:  We are given to find the following sum:

[tex]S=(2x^4+x^3-4x^2+3)+(4x^4-2x^3-x^2+10x+2).[/tex]

To find the sum, we need to add the coefficients of the same exponents of the unknown variable x.

The summation is as follows:

[tex]S\\\\=(2x^4+x^3-4x^2+3)+(4x^4-2x^3-x^2+10x+2)\\\\=(2+4)x^4+(1-2)x^3+(-4-1)x^2+10x+(3+2)\\\\=6x^4+(-1)x^3+(-5)x^2+10x+5\\\\=6x^4-x^3-5x^2+10x+5.[/tex]

Thus, the required sum is [tex]6x^4-x^3-5x^2+10x+5.[/tex]

"3 miles; it represents the original distance of the bird from its nest."

dfor every 20 houses 13 have computers

 divide 60 by 20

60/20 = 3

 multiply 3 by 13

3*13 = 39

 39 houses have computers

The value of j is -3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

j = (2j + 3)

Solve for j.

j = 2j + 3

Keep like terms on one side.

2j - j = -3

j = -3

Thus,

The value of j is -3.

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Answer:

he's wrong it's actually 80mph

Step-by-step explanation:

To find the probability of getting a blue jelly bean, we use the equation P = B / Total. Substituting the given values, we find that the probability of getting a blue jelly bean is approximately 0.1733 or 17.33%.

To solve the given problem, we can use the equation provided in the example: P = B / 26. Since we know that there are 26 blue jelly beans out of 150 total jelly beans, we can substitute these values into the equation to find the probability: P(B) = 26 / 150. Simplifying this fraction, we get P(B) = 13 / 75.

Therefore, the probability of getting a blue jelly bean is 13/75, or approximately 0.1733, which can be expressed as a percentage as 17.33%.

Answer:

P = 0.43h + 0.65p + 1.31d  represents the total profit, in dollars that the stand will make on a day when they sell h hot dogs, p pretzels, and d drinks

Step-by-step explanation:

Given :  The concession stand at a ballpark makes $0.43 profit from each hot dog sold. It also makes a profit of $0.65 from each pretzel sold and $1.31 from each drink sold

We have to find an expression that represents the total profit, in dollars that the stand will make on a day.

Let the stand sells h hot dogs, p pretzels, and d drinks on a day

Since profit of one hot dog is $ 0.43

So , profit of h hot dogs is $ 0.43h

also, profit of one pretzels is $ 0.65

So , profit of p pretzels is $ 0.65p

also, profit of one drink is $1.31

So , profit of d drinks  is $ 1.31d

Total profit of a day is the total profit he earned from selling each item.

thus, total profit is given by equation

P = 0.43h + 0.65p + 1.31d

Thus, P = 0.43h + 0.65p + 1.31d  represents the total profit, in dollars that the stand will make on a day when they sell h hot dogs, p pretzels, and d drinks

[tex]\bf u\implies \begin{cases} (14,-6)\\ (-4,7) \end{cases}\implies (-4-14)~,~(7-(-6)) \\\\\\ (-18) ~,~(7+6)\implies \stackrel{\textit{component form}}{\ \textless \ -18~,~13\ \textgreater \ } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ||u||=\sqrt{a^2+b^2}\implies ||u||=\sqrt{(-18)^2+13^2}\implies ||u||=\sqrt{493}[/tex]

The component form of vector u is (-18, 13) and its magnitude is approximately 22.2.

The subject of this question is vector algebra, specifically finding the component form and magnitude of a vector. The component form of a vector is found by subtracting the coordinates of the initial point from the terminal point. Thus, the component form of vector u with initial point at (14, -6) and terminal point at (-4, 7) is (-4-14 , 7-(-6)) = (-18, 13).

To find the magnitude of a vector, you use the formula which is the square root of the sum of the squares of the components. So for vector u, the magnitude is found by calculating √((-18)² + 13²) = √ (324 + 169) = √493, which is approximately 22.2.

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Answer:2,800.00

Step-by-step explanation: