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poizon [28]
3 years ago
14

Solve each equation. Check your solution. A number decreased by 12 is equal to 30. Find the number.

Mathematics
1 answer:
mina [271]3 years ago
7 0

x-12=30

In the problem it states <u>a number (x) decreased (-) by 12. </u> So with that information you're equation should look like x-12. The next part of the problem says that it is <u>equal (=) to 30</u> So now you're equation should be set up as x-12=30. To find "x" you must isolae "x". To do that you would add 12 from the left hand side leaving x and then you would also add 12 to 30. And with that you're left with what x is.

x=42

Hope it helps!

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Solve using substitution.<br><br> x = –2<br> 5x + 3y = 14
Nookie1986 [14]

Answer:  (-2, 8)

Explanation:

Plug x = -2 into the second equation. Isolate y.

5x+3y = 14

5(-2)+3y = 14

-10+3y = 14

3y = 14+10

3y = 24

y = 24/3

y = 8

We have x = -2 lead to y = 8.

Therefore, the ordered pair (x,y) = (-2,8) is the solution to this system.

4 0
2 years ago
Which of the following is a which of the following is a rational number?
Nastasia [14]

Answer:

A. √25

General Formulas and Concepts:

<u>Math</u>

  • Rational Numbers - numbers that can be written as integers, terminating decimals, or fractions
  • Irrational Numbers - numbers that have non-terminating decimals i.e infinite decimals and cannot be written into a fraction

Step-by-step explanation:

<u>Step 1: Define</u>

A. √25

B. √123

C. √20

D. π

<u>Step 2: Identify</u>

A. √25 = 5; Rational

B. √123 ≈ 11.0905...; Irrational

C. √20 = 2√5 ≈ 4.47214...; Irrational

D. π ≈ 3.1415926535897932384626433832795...; Irrational

Therefore, our answer choice is A.

5 0
3 years ago
The Smiths are moving from New Jersey to South Africa. They pack their belongings in rectangular creates and hire a box to ship
Viefleur [7K]

Answer:

16 crates

Step-by-step explanation:

-This is a division problem.

-Let x be the number of crates that will fit in to the box car.

-To solve x, we divide the volume of the boxcar by the volume of one crate:

V=lwh\\\\l=length\\w=width\\h=height\\\\V_{bc}=20m\times 3m\times 4m\\\\=240\ m^3\\\\V_c=lwh\\\\=5m\times1.5m\times 2m\\\\=15\ m^3\\\\\therefore x=\frac{V_{bc}}{V_c}\\\\=\frac{240}{15}\\\\=16\ crates

Hence, 16 crates will fit in the boxcar.

6 0
4 years ago
It's a. not sure if its B. I'll give branliest!
atroni [7]

Answer:

P is complementary to x

Step-by-step explanation:

Complementary means adding to 90 degrees

P+x = 90 degrees

So P is complementary to x

4 0
3 years ago
Read 2 more answers
Complete the square to determine the maximum or minimum value of the function defined by the expression. x2 + 30x + 21 A) maximu
AveGali [126]
X^2 + 30x + 21
=   ( x + 15)^2 - 225 + 21
= (x + 15)^2 - 204

Its D  minimum at -204
8 0
4 years ago
Read 2 more answers
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