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stiks02 [169]
3 years ago
6

3(4 + x) = 45 What is x?

Mathematics
2 answers:
olchik [2.2K]3 years ago
8 0

<u>Answer:</u>

  • x = 11

<u>Step-by-step explanation:</u>

3(4 + x) = 45

=> 12 + 3x = 45

=> 3x = 33

=> x = 11

<u>Conclusion:</u>

Therefore:

  • x = 11

Hoped this helped.

polet [3.4K]3 years ago
5 0
The x is 11 because 4+11 = 15 and 15x3= 45 .
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Since there are 8 students, each student gets 1/8 of the available cake. Since there is 3/4 of a cake available, they will get 1/8 of 3/4.


Source: https://www.wyzant.com/resources/answers/142015/there_are_8_students_in_a_group_and_3_4_cake_how_much_cake_will_each_student_get_if_divided_evenly

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3 years ago
If u=6 feet, v=7 feet, w=4 feet, x=6 feet, y=12, and z=3 feet, what is the area of this object?
eimsori [14]

Answer:

D. 62 square feet

Step-by-step explanation:

uz + wx + (v+z)(y-u-w)

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7 0
3 years ago
Please answer! I crossed out the ones you don’t have to complete.
Nina [5.8K]

Answer:

1. Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: \mathbf{5^3a^2b^4c}

5.  x^-6 = \frac{1}{x^6}

6. 5^{-3}.3^{-1}=\frac{1}{5^3.3^1}

7. a^{-3}b^0c^4=\frac{c^4}{a^3}

Step-by-step explanation:

Question 1:

We need to rewrite the expression using exponents

5.a.b.b.5.c.a.b.5.b

We will first combine the like terms

5.5.5.a.a.b.b.b.b.c

Now, if we have 5.5.5 we can write it in exponent as: =5^{1+1+1}=5^3

a.a as a^{1+1}=a^2

b.b.b.b as: b^{1+1+1+1}=b^4

So, our result will be:

5^3a^2b^4c

Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: \mathbf{5^3a^2b^4c}

Question:

Rewrite using positive exponent:

The rule used here will be: a^{-1}=\frac{1}{a^1} which states that if we need to make exponent positive, we will take it to the denominator.

Applying thee above rule for getting the answers:

5) x^{-6} = \frac{1}{x^6}

6) 5^{-3}.3^{-1}=\frac{1}{5^3.3^1}

7) a^{-3}b^0c^4=\frac{b^0c^4}{a^3}

We know that b^0=1 so, we get

a^{-3}b^0c^4=\frac{b^0c^4}{a^3}=\frac{c^4}{a^3}

4 0
3 years ago
1) 4x + 3y = -13<br>-5x + 2y = -24​
Nataliya [291]
(4x+3y=-13) * 2
(-5x+2y=-24)*3
_____________
8x+6y=-26
-
-15x+6y=-72
___________
23x=46
X=2
6 0
4 years ago
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