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Kryger [21]
3 years ago
12

You want to put a 2" thick layer of topsoil for a new 20'x30' garden. The dirt store sells by the cubic yards. How many cubic ya

rds will you need to order?
Mathematics
1 answer:
Rama09 [41]3 years ago
7 0

Answer:

100/27 yd^3

Step-by-step explanation:

2"= 1/18 yd

20'= 20/3 yd

30'= 10 yd

1/18*20/3*10= 100/27 cubic yards

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You spend 2 hours and 15 minutes commuting to work each day. You work five days per week. How much time do you spend commuting t
xeze [42]

11 hours and 15 minutes because doing 2.25, which is equal to 2 hours and 15 minutes, times 5 you end up getting 11.25, and converting that to time you get 11 hours and 15 minutes.

8 0
3 years ago
Use set-builder notation to describe the following sets: (a) {1,2,3,4,5,6,7} (b) {1, 10, 100, 1000, 10000} (c) {1,1/2, 1/3, 1/4,
Alja [10]

Answer:

A) The set builder notation is: {n | n∈Z, 1≤n≤7}.

B) The set builder notation is: \{10^x | x=0,1,2,3,4\}

C) The set builder notation is: \{\frac{1}{n} | n\in z\}

D) The set builder notation can be: \{x\ \in R | x=x^3\ and\ x\neq 1\}

Step-by-step explanation:

Consider the provided information,

We need to use set-builder notation to describe the following sets.

(a) {1,2,3,4,5,6,7}

Here, the number are integer starting from 1 to 7.

Thus, the set builder notation is: {n | n∈Z, 1≤n≤7}.

(b) {1, 10, 100, 1000, 10000}

The above set can be written as:

\{1, 10, 100, 1000, 10000\}=\{10^0, 10^1, 10^2, 10^3, 10^4\}

Thus, the set builder notation is: \{10^x | x=0,1,2,3,4\}

(c) {1, 1/2, 1/3, 1/4, 1/5, ...}

Here the numerator is 1 for each term but denominator is natural number.

Thus, the set builder notation is: \{\frac{1}{n} | n\in z\}

(d) {0}

The set builder notation can be: \{x\ \in R | x=x^3\ and\ x\neq 1\}

8 0
3 years ago
(x+1)^2+(x-1)^2-2x(x+2)=0
antoniya [11.8K]

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • (x+1)^2+(x-1)^2-2x(x+2)=0
  • x^2 + 2x + 1 + x^2 - 2x + 1 -2x^2 -4x = 0
  • (x^2 + x^2-2x^2) + (2x-2x-4x)+(1+1)=0
  • -4x + 2 = 0

Step 2: Subtract 2 from both sides.

  • -4x + 2 - 2 = 0 - 2
  • -4x = -2

Step 3: Divide both sides by -4.

  • \frac{-4x}{-4} = \frac{-2}{-4}
  • x = \frac{1}{2}
8 0
2 years ago
Help me with this pleassssseeeedeeeeeeee..
irakobra [83]
We’re told that QR and RS are equal, so this is an isosceles triangle.

Meaning the two base angles must also be equal

Using this information, we know that the third angle must be 180 - (22 + 22), since the angles in a triangle add up to 180

8 0
2 years ago
The area of a rectangular wall of a barn is 100 square feet. Its length is 10 feet longer than twice its width. Find the length
Leona [35]

Answer:

aw dawd awdaw adawd awd a

Step-by-step explanation:aw dawd awd a

wd awd awd a awa da a

d ad a

d aw

d aw

daw

d

awd

ad

ad adawd awd awdd

5 0
2 years ago
Read 2 more answers
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