Ask question

Ask question

All categories

3 years ago

9

How do I solve for x?

1 answer:

saveliy_v [14]3 years ago

4 0

$\displaystyle\\\text{The equation is:}\\\\13^2-x^2=15^2-(14-x)^2\\\\13^2-x^2=15^2-(14^2-28x+x^2)\\\\13^2-x^2=15^2-14^2+28x-x^2)\\\\-x^2+x^2-28x=15^2-14^2-13^2\\\\-28x=225-196-169\\ \\-28x=-140~~~\Big|~\cdot(-1)\\\\28x=140\\\\x=\frac{140}{28}\\ \\\boxed{\bf x=5}$

You might be interested in

A lady bought plates and bowls, 24 items in all. The price of each bowl was 60 cents; the price of each plate was 75 cents. The

vova2212 [387]

Plate bowl total
.60 .75 1.35
8.4(14) 7.5(10) 15.9
7.8(13) 8.25(11) 16.05
9.6(16) 6(8) 15.6
9(15) 6.75(9) 15.75
13.8(23) .75 14.55
13.2(22) 1.5(2) 14.7
12.6(21) 2.25(3) 14.85
12(20) 3(4) 15

answer: 4

6 0

3 years ago

50% of a number is 32 <br> what is the number

Paladinen [302]

Answer:

64

Step-by-step explanation:

Half (50%) of 64 would be 32

6 0

3 years ago

Read 2 more answers

The doubling period of a bacterial population is 20 20 minutes. At time t = 100 t=100 minutes, the bacterial population was 9000

Nuetrik [128]

Answer:

The initial population was 2810

The bacterial population after 5 hours will be 92335548

Step-by-step explanation:

The bacterial population growth formula is:

$P = P_0 \times e^{rt}$

where P is the population after time t, $P_0$ is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours

Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:

$2 P_0 = P_0 \times e^{r 1/3}$

$2 = e^{r \; 1/3}$

$ln 2 = r \; 1/3$

$ln 2 \times 3 = r$

$2.08 \% = r$

Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:

$90000 = P_0 \times e^{2.08 \; 5/3}$

$\frac{9000}{e^{2.08 \; 5/3}} = P_0$

$2810 = P_0$

Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:

$P = 2810 \times e^{2.08 \; 5}$

$P = 92335548$

3 0

3 years ago

What is 62 1/2% as a decimal?

babymother [125]

Answer:

62.50 or 0.625

Step-by-step explanation:

7 0

3 years ago

both brian and jermaine solve the problem. brian says the answer is $40,704. jermaine's answer is $4,604.

Studentka2010 [4]

Could you possibly be more specific?what math problem did they solve? i can help but just be a little more specific so i can answer your question

7 0

4 years ago