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lora16 [44]
3 years ago
14

Solve the system of linear equations using linear combination.

Mathematics
2 answers:
lisov135 [29]3 years ago
8 0

Answer:

The answer is (1,7). Hope it helps

brilliants [131]3 years ago
6 0
3a + 6b = 45
2a - 2b = -12....multiply by 3
----------------
3a + 6b = 45
6a - 6b = - 36 ...(result of multiplying by 3)
---------------add
9a = 9
a = 1

3a + 6b = 45
3(1) + 6b = 45
3 + 6b = 45
6b = 45 - 3
6b = 42
b = 7

solution is : (1,7)
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Use the equation below to find d, if r=45 and t = 3.<br> d=rt
Elden [556K]

Answer:

d= 135

Step-by-step explanation:

45*3

6 0
3 years ago
According to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on ave
ki77a [65]

Answer:

The value of test statistics is 1.06.

Step-by-step explanation:

We are given that according to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per month each teenager watched social media posts was 15.6. This data has a sample standard deviation of 2.5.

We have to test if the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year or not.

Let, NULL HYPOTHESIS, H_0 : \mu = 14.8 hours  {means that the mean amount of time American teenagers watch social media posts per month is same as the mean amount of time last year}

ALTERNATE HYPOTHESIS, H_1 : \mu > 14.8 hours  {means that the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year}

The test statistics that will be used here is One-sample t-test;

             T.S. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean amount of time per month each teenager watched social media posts = 15.6 hours

             s = sample standard deviation = 2.5 hours

             n = sample of teenagers = 11

So, <u>test statistics</u> =  \frac{15.6 - 14.8}{\frac{2.5}{\sqrt{11} } } ~ t_1_0

                            = 1.06

Hence, the value of test statistics is 1.06.

5 0
3 years ago
A sign company charges $28 per yard for each custom-made banner. Ms.Gill orders two banners that are each 178 yards long, and on
zhuklara [117]

Given,

A sign company charges $28 per yard for each custom-made banner.

Ms.Gill orders two banners that are each 178 yards long, and one banner that is 258 yards long.

To find,

Total money paid by Ms. Gill.

Solution,

Total length of 2 banners of 178 yards = 356 yards

Third banner is 258 yards long.

Total length of the banners = 356 + 258

= 614 yards

The cost of each banner = $28 per yards.

Total amount paid by Ms. Gill is :

= $28 × 614

= $17,192

Hence, she will pay $17,192 for all the three banners.

8 0
2 years ago
What is the name given to a five-sided polygon that has congruent sides? A. hexagon B. regular hexagon C. pentagon D. regular pe
inysia [295]

Answer:

C

Step-by-step explanation:

Pentagon

Hope this helps (:

5 0
2 years ago
Read 2 more answers
One third of the opposite of a number is less than 12. Write and inequality.
fenix001 [56]
X= a number

The opposite of a number is its negative opposite. It's the additive inverses of a number. The additive inverse of 4 is -4. It will always equal zero when added together.

Inequality:
1/3(-x) < 12

Hope this helps! :)

3 0
3 years ago
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