MATHEMATICS
MIDDLE SCHOOL

a)

-2

b)

4

c)

-8

d)

2

Answer:

Answer:

4

Step-by-step explanation:

The answer would be 4 for the question

MIDDLE SCHOOL

Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 3 in, x = 6 in, y = 6 in, z = 3 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth. a cone with a height of x and a radius of w, a cylinder with a diameter of y and a height of z

The cup holds 84.8 in3 more ice cream than the cone.

The cone holds 84.8 in3 more ice cream than the cup.

The cup holds 28.3 in3 more ice cream than the cone.

The cone holds 28.3 in3 more ice cream than the cup.

Answer:

The correct answer is C. The cup holds 28.3 in³ more ice cream than the cone.

Step-by-step explanation:

1. Let's find the volume of ice cream that the cone holds, this way:

Volume = π * r² * h/3

Replacing with the real values, we have:

Volume = 3.14 * 3² * 6/3

Volume = 3.14 * 9 * 2 = 56.5 inches³

2. Let's find the volume of ice cream that the cup holds, this way:

Volume = π * r² * h

Diameter = 6 inches ⇒ Radius = 3 inches

Replacing with the real values, we have:

Volume = 3.14 * 3² * 3

Volume = 3.14 * 9 * 3 = 84.8 inches³

3. Let's find the difference, this way:

Volume of the cup - volume of the cone = 84.8 - 56.5 = 28.3 inches³

The correct answer is C. The cup holds 28.3 in³ more ice cream than the cone

Answer:

The correct answer is C. The cup holds 28.3 in³ more ice cream than the cone.

Step-by-step explanation

I took the test and got it right

MIDDLE SCHOOL

Which shows the expression below in simplified form? (7.2 × 107) ÷ (9 × 104) A. 8 × 101 B. -1.8 × 102 C. 8 × 102 D. 8 × 104

(7.2 × 10^7) ÷ (9 × 10^4)

= (7.2 / 9) x 10^(7 - 4)

= 0.8 x 10^3

= 8 x 10^2

Answer

C. 8 × 10^2

HIGH SCHOOL

Consider the given right triangle. If a=20 and b=20, then angle B=

The Angle B is 45°

What are isosceles triangles?An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Given

Since a and b are both of length 20, this is an isosceles right triangle, and the angle opposite side b must be 45°.

To know more about the isosceles triangle refer to :

brainly.com/question/1447883

#SPJ2

Answer:

Angle B is 45°

Step-by-step explanation:

Since a and b are both of length 20, this is an isosceles right triangle, and the angle opposite side b must be 45°.

MIDDLE SCHOOL

3x+y=4 6x+2y=8

Use the system of equations to solve. Please explain or show how you got the answer!

3x + y =4 6x + 2y=8

-3x -3x -6x -6x

y=-3x+4 2y= -6x+8

*divide everything by 2

y= -3x+4

you have to get it into y=mx+b form

*drop the y from both problems and use from x and back for both problems

-3x+4= -3x+4

+3x +3x

4=x+4

-4 -4

1/1 = 1/1

x=1

-3x -3x -6x -6x

y=-3x+4 2y= -6x+8

*divide everything by 2

y= -3x+4

you have to get it into y=mx+b form

*drop the y from both problems and use from x and back for both problems

-3x+4= -3x+4

+3x +3x

4=x+4

-4 -4

1/1 = 1/1

x=1

MIDDLE SCHOOL

Kenyon earns $105 for mowing 3 lawns. How much

would Kenyon earn for mowing 10 lawns?

Answer:

$350

Step-by-step explanation:

3 lawns --------------> $105

find unit rate:

1 lawn -------------> $105 ÷ 3 = $35 per lawn

10 lawns --------> $35 per lawn x 10 lawns = $350

Answer:350 dollors

Step-by-step explanation:105 divided by 3 is 35 times 35 by 10 to get your answer 350

COLLEGE

What is the length of the shortest side of a triangle that has vertices at (-6, -5), (-5, 6), and (-2, 2)? A. B. C. D.

Answer:

5

Step-by-step explanation:

We can use the distance formula with 3 different vertices to figure out the shortest of the three sides.

The distance formula is

Where (x_1,y_1) is the first points and (x_2,y_2) is the second set of points, respectively.

Now let's figure out the length of 3 sides.

1. The length between (-6,-5) & (-5,6):

2. The length between (-6,-5) & (-2,2):

3. The length between (-5,6) & (-2,2):

Thus, length of the shortest side is 5.

Answer:

5 units

Step-by-step explanation:

Draw the triangle with the vertices given. Identify the smallest side and draw in a right triangle using the smallest side of the original triangle as the hypotenuse of the right triangle, as shown on the grids below.

The horizontal side of the small right triangle measures 3 units and the vertical side of the small right triangle measures 4 units.

Use the Pythagorean theorem to find the length of the hypotenuse.

Therefore, the length of the shortest side of the triangle measures 5 units.

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

5 = c

MIDDLE SCHOOL

A bicycle store costs $3250 per month to operate. The store pays an average of $35 per bike. The average selling price of each bicycle is $85

How many bicycles must the store sell each month to break even?

Answer:

65 bikes

Step-by-step explanation:

The store buys the bikes that they sell for $35, and they sell them for $85, so in order to find the actual amount of money earned from one sale, you have to subtract how much they sell the bikes for by how much they bought them for, so:

85 - 35 = 50

Then, you divide the $3250 by the 50:

3250 / 50 = 65

So now we know that the store must sell 65 bikes a month to break even.

MIDDLE SCHOOL

Louis spent 12 hours practicing guitar if 1/4 of the time was spent practicing chords, how much time did Louis spend practicing chords?

HIGH SCHOOL

As a case worker, Bonnie Armstrong earns $13.47 an hour plus time-and-a-half for weekend work. Last week she worked her regular 40 hours plus 8 hours of overtime on the weekend. What was her total pay for the week?

This is a hard question but I think the answer is 2,155?