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3 years ago

Kate asked some friends how many movies they saw last winter. Use her data in the table below for your

Mathematics

1 answer:

Elena-2011 [213]3 years ago

3 0

Answer:

mean: 4.7

median: 4.5

mode: 5, 2, and 8

range: 13

Step-by-step explanation:

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Choose the graph that represents the following system of inequalities:

Licemer1 [7]

Answer:

FIRST.

64 square inches matches to a cross section parallel to the base of a right rectangle prism that is 3 inches long, 7 inches wide, and 11 inches tall

This is shown in the first figure below. A right rectangular prism where every edge connecting its base and the opposite face makes right angles with both faces. Since the tall is the side that measures 11 inches, then the base is formed by 3 inches long and 7 inches wide. Therefore, the area of this shape can be found as the area of a rectangle, which is: 21 in squared.

SECOND.

64 square inches matches to a cross section parallel to the base of a cube whose edges are 8 inches long.

This is shown in the second figure below. A cube is a prism whose sides all have the same length and in this case is 8 inches. We name cross section is to the slice that cuts through a solid. If the cross section is parallel to the base of a cube, then it forms a square with length . Therefore, the area of this shape can be found as the area of a square, which is: 64 in squared.

Third.

7 square inches matches to a cross section passing through the diagonal of opposite faces of a cube with edges that are 7 inches long and a diagonal that is approximately 10 inches

This is shown in the third figure below. As you can see, the cross section passes through the diagonals of the base and the top of the cube that are two opposite faces. This form a rectangle having sides where:

So: 70 in squared

FOURTH.

300 square inches matches to a cross section perpendicular to the base and passing through the diagonals of the base and opposite face of a right rectangular prism that is 24 inches wide, 7 inches long, and 12 inches tall and measures 25 inches along the diagonal of the base.

This is shown in the fourth figure below. The cross section passes through the diagonals of the base and the top of the right rectangular prism. They are opposite to each other, so the shape of the cross section is a rectangle whose sides are where:

So: 300 in squared.

Step-by-step explanation:

6 0

3 years ago

The sum of two numbers is 28 and there quotient is 3 what are the numbers

Zepler [3.9K]

54 and 21 and thats how i got it lol

5 0

3 years ago

find the value of a and b for which the system of equations has infinitely many solutions : 2x + 3y = 7 ; (a-b)x + (a+b)y = 3a +

hodyreva [135]

Answer:

a= 5 and b=1

Step-by-step explanation:

To solve, we will follow the steps below:

2x + 3y = 7

(a-b)x + (a+b)y = 3a + b - 2

We should note that since it has infinitely many solutions then,

$\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }$

Hence

2/a-b = 3/a+b = 7/3a +b-2

2/a-b = 3/a+b

cross-multiply

3(a-b) = 2( a+b)

open the bracket

3a - 3b = 2a + 2b

collect like term

3a - 2a = 2b + 3b

a = 5b -------------------------------------------(1)

Similarly

3/a+b = 7/3a +b-2

cross-multiply

7(a+b) = 3(3a+b -2)

7a + 7b = 9a + 3b -6

take all the variables to the left-hand side of the equation

7a - 9a+ 7b-3b = -6

-2a + 4b = -6 ---------------------------------(2)

but a = 5b

substitute a= 5b in equation (2) and solve for b

-2(5) + 4b = -6

-10 + 4b = -6

add 10 to both-side of the equation

-10 + 10+ 4b = -6+10

4b = 4

divide both-side of the equation by 4

b = 1

substitute b= 1 in equation (1)

a = 5b

a =5(1)

a=5

Therefore, a= 5 and b=1

8 0

3 years ago

Can you plz help me solve this simplify the expression 8w-13w+6-20-10w

OverLord2011 [107]

Answer:

this is your answer

5 0

3 years ago

Find the surface area of the prism. A 75 cm^2 B 125 cm^2 C 95 cm^2 D 113 cm^2

Sav [38]

Did you ever get the answer to this?

3 0

3 years ago