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Citrus2011 [14]
3 years ago
15

Solve for x.

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0

Answer:

x = 3

Step-by-step explanation:

set up proportion based on corresponding sides of similar triangles:

15 / 10 = 15 + x / 12

cross-multiply:

10(15 + x) = 15(12)

150 + 10x = 180

10x = 30

x = 3

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Kevin spent 10 hours doing homework last week. This week he spent 15 hours doing homework. He says that he spent 150% more time
agasfer [191]
No he is wrong because 75% more time would be spent doing homework
6 0
3 years ago
How to solve? im doing piecewise functions
Novosadov [1.4K]

If

g(x) = \begin{cases} -x + 4 & \text{if } x \le -1 \\ 3 & \text{if } -1

then by this definition,

g(0) = 3 … … … (since -1 < 0 < 2)

and

g(1) = 3 … … … (also because -1 < 1 < 2)

7 0
3 years ago
If the second term of a geometric sequence of real numbers is -2 and the fifth term is 16 then what is the fourteenth term?
Agata [3.3K]
<h3>Given</h3>

A geometric sequence such that ...

a_2=-2\quad\text{and}\quad a_5=16

<h3>Find</h3>

a_{14}

<h3>Solution</h3>

We can use the ratio of the given terms to find the common ratio of the sequence, then use that to find the desired term from one of the given terms. We don't actually need the common ratio (-2). All we need is its cube (-8).

a_2=a_1r^{(2-1)}=a_1r^1\\a_5=a_1r^{(5-1)}=a_1r^4\\a_{14}=a_1r^{(14-1)}=a_1r^13=a_5r^9\\\\\dfrac{a_5}{a_2}=\dfrac{a_1r^4}{a_1r^1}=r^3=\dfrac{16}{-2}=-8\\\\r^9=\left(r^3\right)^3=(-8)^3=-512\\a_{14}=a_5(-512)\\\\a_{14}=-8192

7 0
3 years ago
What is 13,931 round by 10​
miv72 [106K]

Answer:

13,930

Step-by-step explanation:

hope this helps!

4 0
3 years ago
Please no links and i need this to be right please
Nataly_w [17]

Answer:

Part A: 6x + 20

Part B: Expression G and H are not equivalent for any value of x.

Step-by-step explanation:

Part A:

G = 2(3x + 10)

G = 6x + 20

Part B:

6x + 20  = 6x + 12

      -20           -20

6x = 6x - 8

-6x  -6x

0 = -8

No solution. This means that expressions G and H are not equivalent for any value of x.

4 0
3 years ago
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