Which of the following should be used to show relationships, organize information, and solve problems?

box-and-whisker plots
bar graphs
pictographs
Venn diagrams

Carissa should leave a tip amounting to $6.43 at her favorite restaurant. This is calculated by converting the 20% tip rate to a decimal and multiplying that by the bill total of $32.18.

To calculate the tip that Carissa would leave based on a 20% rate, you would use the formula for percentage calculations which is (Percentage / 100) × Total. In this case, the percentage is 20 and the total is $32.18, her restaurant bill.

Step-by-step calculation:

So, Carissa should leave a $6.43 tip at her favorite restaurant.

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Answer:

The dimensions of the red prism are  1.5

times the dimensions of the blue prism.

The surface area of the red prism is  2.25

times the surface area of the blue prism.

Step-by-step explanation:

Final answer:

To compare the surface areas of the red and blue prisms, divide the surface area of the red prism by the surface area of the blue prism. In this case, the surface area of the red prism is 2 times greater than the surface area of the blue prism.

Explanation:

To compare the surface areas of the red and blue prisms, we need to find the surface area of each prism. The surface area of a prism is found by adding the areas of all of its faces.

Let's say the surface area of the red prism is 100 square units and the surface area of the blue prism is 50 square units. To find out how many times greater the surface area of the red prism is than the blue prism, we can divide the surface area of the red prism by the surface area of the blue prism: 100/50 = 2.

Therefore, the surface area of the red prism is 2 times greater than the surface area of the blue prism.

The vertex A' corresponds to the coordinates (9.6, 6).

To find the vertex in the dilated image with coordinates (9.6, 6), we can apply the formula for dilation.

In a dilation centered at the origin with a scale factor of 1.2, the coordinates of a point (x, y) are transformed to (1.2x, 1.2y).

Let's calculate the coordinates of the vertices after dilation:

Vertex A' = (1.2 * x-coordinate of A, 1.2 * y-coordinate of A)

= (1.2 * 8, 1.2 * 5)

= (9.6, 6)

Vertex B' = (1.2 * x-coordinate of B, 1.2 * y-coordinate of B)

= (1.2 * 8, 1.2 * 10)

= (9.6, 12)

Vertex C' = (1.2 * x-coordinate of C, 1.2 * y-coordinate of C)

= (1.2 * 14, 1.2 * 10)

= (16.8, 12)

Vertex D' = (1.2 * x-coordinate of D, 1.2 * y-coordinate of D)

= (1.2 * 14, 1.2 * 5)

= (16.8, 6)

Comparing the coordinates of the dilated vertices to the given coordinates (9.6, 6), we can conclude that the vertex with coordinates (9.6, 6) is Vertex A' of the dilated image.

The vertex A' corresponds to the coordinates (9.6, 6).

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Answer: 52 square feet

Step-by-step explanation:

The surface area of a rectangular prism is given by :-

[tex]S.A.=2(lw+wh+hl)[/tex], where l is length , w is width and h is height of then prism.

Given: Dimensions of the rectangular prism :   [tex]l\times w\times h=[/tex] 2 feet by 3 feet by 4 feet

Then , the surface area of a rectangular prism will be:-

[tex]S.A.=2(2(3)+(3)(4)+(2)(4))\\\\\Rightarrow\ S.A.=52\text{ inches}^2[/tex]

Hence, the surface area  of a rectangular prism= 52 square feet

Answer:

C) 2520 cm^3

Step-by-step explanation:

The given pyramid is a triangle base pyramid.

Volume of a pyramid = 1/3(base area* height)

Here the base is a right triangle with base 24 cm and height 18.

The height of the pyramid is 35 cm.

Plug in the given values in the formula, we get

V = 1/3 (1/2*24*18)*35

= 1/3(216)(35)

= 72*35

V= 2520 cm^3

The volume of the given pyramid is C) 2520 cm^3

Hope this will helpful.

Thank you.

Final answer:

The drama club purchased 36 cases of popcorn at $18 per case, resulting in a total cost of $648 for all the popcorn.

Explanation:

The question involves calculating the total amount spent on popcorn by the drama club, which requires some basic arithmetic and understanding of multiplication and division. To find the total cost, we first need to determine how many cases of popcorn the club bought and then multiply that number by the cost per case.

Step-by-Step Calculation

Determine the number of cases: Divide the total number of bags of popcorn (864) by the number of bags per case (24).

Calculate the total cost: Multiply the number of cases by the cost per case ($18).

Now, let's perform these steps:

Number of cases = 864 bags ÷ 24 bags/case = 36 cases

Total cost = 36 cases × $18/case = $648

Therefore, the drama club paid $648 for all the popcorn.

Final answer:

To calculate the monthly payments for a $1,752 home theater system at 15% APR over 25 months, convert APR to a monthly rate and apply the loan payment formula, yielding an estimated payment not precisely matching the provided options. This suggests a potential discrepancy in calculation or provided options.

Explanation:

To determine the monthly payments for financing a home theater system at a 15% APR for a 25-month loan costing $1,752, we use the formula for calculating the monthly payment on an amortizing loan. First, convert the annual interest rate to a monthly rate by dividing by 12. In this case, 15% annually becomes 1.25% per month. Then, apply the formula: Monthly Payment = P * (r(1+r)^n) / ((1+r)^n - 1), where P=principal amount ($1,752), r=monthly interest rate (0.0125), and n=number of payments (25).

Plugging into the formula gives us: Monthly Payment = 1,752 * (0.0125(1+0.0125)^25) / ((1+0.0125)^25 - 1), which calculates to approximately $76.55.

However, since the provided options do not include this exact figure, it's essential to note that either there's been a miscalculation or a misunderstanding in the method or given options. The closest provided option is $70.08.

Solution:

102 ÷ 6 = 17

As you can see , 102 has unit digit of 2 ,it means it is divisible by 2

Sum of digits of (102) = 1 + 2 =3, it means it is divisible by 3 also.

So , if a number is divisible by 2 and 3 it means it is divisible by 6 also.

Option (A) and Option (C) are true options which are

105 ÷ 5 = 21, and 100÷5 =20

The reason being if you will look at the unit digit of 105 and 100 , it is 5 and 0. So if a number have unit digit either 5 or 0 it is divisible by 5.  

Which pair shows equivalent expressions?

A.2(2/5x + 2)=2 2/5x + 1

B.2(2/5x + 2)=4/5x + 4

C.2(2/5x + 4)=4/5x + 2

D.2(2/5x + 4)=2 2/5x + 8

Solution:

[tex] 2(\frac{2}{5}x + 2) [/tex]

Let us distribute 2 inside the parenthesis.

That is, we use distributive property:

a(b+c)=ab+ac

[tex] 2(\frac{2}{5}x + 2) =\frac{2*2}{5}x+2*2 [/tex]

So, [tex] 2(\frac{2}{5}x + 2) =\frac{4}{5}x+4 [/tex]

Answer:Option (b)

[tex] 2(\frac{2}{5}x+4) [/tex]

Applying distributive property, a(b+c)=ab+ac

[tex] 2(\frac{2}{5}x+4) =2*\frac{2}{5} x+2*4 [/tex]

[tex] 2(\frac{2}{5}x+4) =\frac{2*2}{5} x+2*4 [/tex]

[tex] 2(\frac{2}{5}x+4) =\frac{4}{5} x+8 [/tex]

So, Option (B) is correct.

Answer:

B.

Step-by-step explanation:

Final answer:

The area of the enlarged picture will be 250 square inches, calculated by multiplying the new width and height which are scaled up by the factor of 2.5 from the original dimensions.

Explanation:

To find the area of the enlarged picture, we begin by scaling up the dimensions of the original picture using the given scale factor. The original width is 5 inches, and the original height is 8 inches. Applying a scale factor of 2.5 to both dimensions, we calculate the new dimensions as follows:

Now, to find the area of the enlarged picture, we multiply the width by the height:

New area = New width × New height = 12.5 inches × 20 inches = 250 square inches

Therefore, the area of the picture after it is enlarged will be 250 square inches.