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3 years ago

16c-24=4c-144 can you please explain how to do this equation

Mathematics

2 answers:

love history [14]3 years ago

6 0

Answer:

c = -10

Step-by-step explanation:

16c -24=4c -144

Subtract 4c from both sides

16c - 4c - 24 = 4c - 4c - 144

12c - 24 = -144

Add 24 to both sides

12c -24 + 24 = -144 + 24

12c = -120

Note: -144 + 24 = -120

12c = -120

Divide both sides by 12

12c/12 = -120/12

c = -10

Note: 12/12 = 1 and -120/12 = -10

Checking :

16c -24=4c -144

Put c = -10

16(-10) - 24 = 4(-10) - 144

-160 - 24 = -40 - 144

-184 = -184

Therefore

c = -10

I hope this was helpful, please rate as brainliest

Feliz [49]3 years ago

4 0

Answer:

c= -10

Step-by-step explanation:

16c-24=4c-144

+24 +24

16c=4c-144+24

16c=4c-120

-4c -4c

12c=-120

:12 :12

c=-120/12

c= -10

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Answer:

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3 years ago

In converting 30 pounds to ounces, what unit (omit the number) would you

gladu [14]

Step-by-step explanation:

to convert pounds into ounces you'd

actually multiply 16 by 30:

30 * 16

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3 years ago

Which best describes the graphs of the line that passes through (−12, 15) and (4, −5), and the line that passes through (−8, −9)

konstantin123 [22]

Answer:

C) They are perpendicular lines.

Step-by-step explanation:

We first need to find the slope of the graph of the lines passing through these points using:

$m = \frac{y_2-y_1}{x_2-x_1}$

The slope of the line that passes through (−12, 15) and (4, −5) is

$m_{1} = \frac{ - 5 - 15}{4 - - 12}$

$m_{1} = \frac{ - 20}{16} = - \frac{5}{4}$

The slope of the line going through (−8, −9) and (16, 21) is

$m_{2} = \frac{21 - - 9}{16 - - 8}$

$m_{2} = \frac{21 + 9}{16 + 8}$

$m_{2} = \frac{30}{24} = \frac{5}{4}$

The product of the two slopes is

$m_{1} \times m_{2} = - \frac{4}{5} \times \frac{5}{4} = - 1$

Since

$m_{1} \times m_{2} = - 1$

the two lines are perpendicular.

4 0

3 years ago

Read 2 more answers

In a certain year, when she was a high school senior, Idonna scored 671 on the mathematics part of the SAT. The distribution of

goldfiish [28.3K]

Answer:

Idonna's standardized score is 1.41.

Jonathan's standardized score is 0.55.

A.) Idonna's score is higher than Jonathan's

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Idonna scored 671 on the mathematics part of the SAT. The distribution of SAT math scores in that year was Normal with mean 509 and standard deviation 115.

This means that her standardized score is Z when $X = 671, \mu = 509, \sigma = 115$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{671 - 509}{115}$

$Z = 1.41$

Idonna's standardized score is 1.41.

Jonathan took the ACT and scored 24 on the mathematics portion. ACT math scores for the same year were Normally distributed with mean 21.1 and standard deviation 5.3 .

This means that his standardized score is Z when $X = 24, \mu = 21.1, \sigma = 5.3$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{24 - 21.1}{5.3}$

$Z = 0.55$

Jonathan's standardized score is 0.55.

Due to the higher z-score, Iddona's has a higher score.

5 0

2 years ago

Which pair of numbers is relatively prime? A. 42 and 77 B. 34 and 55 C. 45 and 102 D. 99 and 123

leonid [27]

Two pair of numbers are said to be relatively prime if there is no integer greater than 1, that divides them both.

Consider the given pair of the numbers to identify which pair is relatively prime.

1. Consider 42 and 77

7 is the number which divides 42 and 77 both. Therefore, they are not relatively prime.

2. Consider 34 and 55

Since, there is no number greater than 1, which divides both the numbers. So, they are relatively prime numbers.

3. Consider 45 and 102

3 is the number divides 45 and 102 both. Therefore, they are not relatively prime.

4. Consider 99 and 123

3 is the number divides 99 and 123 both. Therefore, they are not relatively prime.

Therefore, Option B is the correct answer.

8 0

3 years ago