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adoni [48]
3 years ago
10

Solve this system of equations by

Mathematics
1 answer:
makvit [3.9K]3 years ago
6 0

Answer:

x=4 and y=11

Step-by-step explanation:

x+y=15

5x-y=9

x+5x-y+y=15+9

6x=24

X=4

x+y=15

4+y=15

y=11

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Simplify the equation. (5xE2 - 3x) - (5xE2 - 3x+1)
s2008m [1.1K]

Answer:

\huge \boxed{\mathrm{-1}}

Step-by-step explanation:

(5xe^2  - 3x) - (5xe^2  - 3x+1)

Distribute negative sign.

5xe^2  - 3x- 5xe^2  +3x-1

Combine like terms.

0xe^2 +0x-1

0-1=-1

8 0
3 years ago
Question 1 (Essay Worth 10 points) (01.02 MC) Part A: If (26)x = 1, what is the value of x? Explain your answer. (5 points) Part
katen-ka-za [31]

Answer:

See Explanation

Step-by-step explanation:

The question is not clear. However, I will treat the question as:

(26)x = 1

(50)x = 1

and:

(2^6)^x = 1

(5^0)^x = 1

Solving: (26)x = 1  and  (50)x = 1

(26)x = 1

Divide both sides by 26

x = \frac{1}{26}

(50)x = 1

Divide both sides by 50

x = \frac{1}{50}

Solving (2^6)^x = 1 and (5^0)^x = 1

(2^6)^x = 1

Express 1 as 2^0

(2^6)^x = 2^0

Remove bracket

2^{6x} = 2^0

Cancel out 2

6x = 0

Divide both sides by 6

x = \frac{0}{6}

x = 0

(5^0)^x = 1

Express 1 as 5^0

(5^0)^x = 5^0

Cancel out 5^0

x = 1

8 0
3 years ago
A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.
AysviL [449]

Answer:

n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107

So the answer for this case would be n=107 rounded up to the nearest integer

Step-by-step explanation:

Information given

\bar X= 0.996 the sample mean

s=0.004 the sample deviation

n =25 the sample size

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

We can use as estimator of the real population deviation the sample deviation for this case \hat \sigma = s/ The critical value for 99% of confidence interval is given by z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107

So the answer for this case would be n=107 rounded up to the nearest integer

6 0
3 years ago
6. Michael Johnson holds the Olympic record for the men's 400m race at 43 seconds. His
vlada-n [284]

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Step-by-step explanation:

We have to calculate his unit rate for both type of races

So,

<u>Unit rate for 400m race:</u>

Distance = 400m

Time = 43 sec

Unit\ rate = U_1= \frac{Distance}{Time}\\=\frac{400}{43}\\=9.30\ meters\ per\ second

<u>Unit rate for 300m Race:</u>

Distance = 300m

Time = 31 sec

Unit\ Rate= U_2=\frac{300}{31}\\=9.68\ meters\ per\ second

The difference between both unit rates is:

U_2-U_1 = 9.68-9.30\\=0.38 => 0.4\ meters\ per\ sec

Hence,

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Keywords: Unit rate, Speed

Learn more about unit rate at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

7 0
3 years ago
13. Identify the terms, like terms, coefficients, and constants in the
Free_Kalibri [48]

Answer:

Expression

Step-by-step explanation:

2,3, and 7 are coefficient .

x and y are constant

3 0
2 years ago
Read 2 more answers
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