MATHEMATICS MIDDLE SCHOOL

Simplify 3x – 2y + 6 - 6x + 5y - 8.A)
-2xy
- 2x²y²
-3x - 7y - 2
-3x + 3y - 2

Answers

Answer 1

Answer:

Answer:

-3x+3y-2

Step-by-step explanation:

3x-6x= =3x

-2y+5y= 3y

6-8= -2

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A rectangular pool is 20 feet wide and 50 feet long. A deck used for sunning surrounds the pool. The deck is the same width all the way around the pool. The total area of the deck is 456 square feet. How wide is the walkway?

Answers

deck=456
area of pool=legnth times width=20 times 50=1000

the area of the deck is made up of 4 rectangles and 4 squares, the rectangles' areas come in pairs
areas are
area of deck= 2(20w)+4(w^2)+2(50w)d

456=2(20w)+4(w^2)+2(50w)

distribute

456=40w+4w^2+100w

add like terms

456=4w^2+140w

divide everybody by 4

114=w^2+35w

subtract 114 from both sides

0=w^2+35w-114

find what 2 numbers multiply to get 114 and add to get 35 and factor

-3 and 38

0=(w-3)(w+38)

set each to zero

w-3=0

w=3

w+38=0

w=-38

false since measures in real life cannot be negative

therfor width of walkway=3ft

Answer: 3 feet

Step-by-step explanation: this basically sum up the verifed answer

A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units. What is the volume of the pyramid

Answers

Answer:

14.8 cubic units

Step-by-step explanation:

The volume of the right pyramid can be calculated using formula

$V_(pyramid)=(1)/(3)\cdot A_(base)\cdot height.$

You are given

$A_(base)=7.4\ un^2.\n \nheight=6\ un.$

Then

$V_(pyramid)=(1)/(3)\cdot 7.4\cdot 6=2\cdot 7.4=14.8\ un^3.$

Answer:

$14.8\text{ Units}^3$

Step-by-step explanation:

We have been given that the base area of a right pyramid with hexagonal base is 7.4 square units. The pyramid has a height of 6 units.

To find the volume of the given pyramid we will use formula:

$\text{Volume of hexagonal pyramid}=\text{ Base area}* \frac{\text{Height}}{3}$

$\text{Volume of hexagonal pyramid}=7.4\text{ Units}^2* \frac{\text{6 units}}{3}$

$\text{Volume of hexagonal pyramid}=7.4\text{ Units}^2* \text{2 units}$

$\text{Volume of hexagonal pyramid}=14.8\text{ Units}^3$

Therefore, the volume of given hexagonal pyramid is 14.8 cubic units.

Is 27 ft greater than 324 in

Answers

They are equal. There are 12 inches in 1 foot so you can divide 324 inches by 12 to make the units become feet instead of inches. 324 inches is 27 feet.

What is the rule: 36 --> 60, 12 --> 20, 6 --> 10, 15 --> 25

Answers

in other words divide by 3 and multiply by 5

36 to 60 = 22
12 to 20 = 8
6 to 10 = 4
15 to 25 = 10
Hope you get the pattern, if not comment
Happy to Help!

rug area 122.12 sq ft, the rug is 8.7 ft wide. To the nearest hundredth, how many feet long is the rug?

Answers

Area of a rectangle formula: A=LW

substitute the values in:
122.12=L(8.7)

Solve for L. Divide by 8.7 to isolate L.

L≈14.04 feet

Which products result in a difference of squares or a perfect square trinomial? Check all that apply. (5x + 3)(5x – 3) (7x + 4)(7x + 4) (2x + 1)(x + 2) (4x – 6)(x + 8) (x – 9)(x – 9) (–3x – 6)(–3x + 6)