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trapecia [35]
3 years ago
6

14 less than 8 times a number is 3 more than 4 times the number what is the number?

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0

Answer:

12

Step-by-step explanation:

8.x-13=3+4.x

8.x-13=7.x

x-13+8=7.x

x-5=7.x

x-x=7+5

x-x=12

x=12

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1. Add or subtract. Show your work for each problem.
Aleks04 [339]
Hi there!

a. 8x^2 - 1
(x^2 - 4x + 5) + (7x^2 + 4x - 6)
= x^2 + 7x^2 - 4x + 4x - 1
= 8x^2 - 1

b. 5x^2 + 7x - 7
(7x^2 + 4x - 6) - (2x^2 - 3x + 1)
= 7x^2 + 4x - 6 - 2x^2 + 3x - 1
= 7x^2 - 2x^2 + 4x + 3x - 6 - 1
= 5x^2 + 7x -7

Hope this helps!
4 0
3 years ago
The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard de
qaws [65]

Answer: a. 0.6759    b. 0.3752    c. 0.1480

Step-by-step explanation:

Given : The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes

i.e. \mu = 6.3 minutes

\sigma=2.2 minutes

Let x be the long-distance call length.

a. The probability that a call lasts between 5 and 10 minutes will be :-

P(5

b. The probability that a call lasts more than 7 minutes. :

P(X>7)=P(\dfrac{X-\mu}{\sigma}>\dfrac{7-6.3}{2.2})\\\\=P(Z>0.318)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z

c. The probability that a call lasts more than 4 minutes. :

P(X

8 0
3 years ago
Kitara has 100 quarters and dimes. Their total value is $19. How many of each coin does Kitara have?
Sedbober [7]
Q + d = 100 so q = 100 - d
0.25q + 0.10d = 19

substitute q = 100 - d into 0.25q + 0.10d = 19

0.25q + 0.10d = 19
0.25(100 - d) + 0.10d = 19
25 - 0.25d + 0.10d = 19
-0.15d = -6
        d = 40

q = 100 - 40 = 60

answer
Kitara has 60 quarters and 40 dimes

4 0
3 years ago
Lucas is solving this problem.
kumpel [21]
I think it's d... ok?
3 0
3 years ago
If f(x)=4x^2+1 and g(x) = x^2-5 fins (f-g)(x)
arlik [135]

Answer:

Given:

f(x) = 4x² + 1

g(x) = x² - 5

Then

(f + g)(x) = 4x² + 1 + x² - 5

             = 5x² - 4

Answer: 5x² - 4

5 0
3 years ago
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