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hoa [83]
3 years ago
7

Use the elimination method to solve the system of equations. Choose the

Mathematics
2 answers:
Dimas [21]3 years ago
8 0

Answer: x=6

Step-by-step explanation:

Let's solve your system of equations by elimination.

3x+5y=48;−3x+5y=12

Steps:

3x+5y=48

−3x+5y=12

Add these equations to eliminate x:

10y=60

Then solve

10y=60

for y:

10y/10=60/10

(Divide both sides by 10)

y=6

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

3x+5y=48

Substitute

6 for y in 3x+5y=48:3x+(5)(6)=48

3x+30=48

(Simplify both sides of the equation)

3x+30+−30=48+−30

(Add -30 to both sides)

3x=18

3x/3=18/3

(Divide both sides by 3)

x=6

IRINA_888 [86]3 years ago
4 0

Answer: x=6

Y=6

Step-by-step explanation:

Using the elimination method

3x+5y=48.....equ1

-3x+5y=12......equ2

Add equation 1 &2

3x+5y=48

+

-3x+5y=12

Answer =

10y=60

Y=60/10

Y=6

Substitute for y in equation 1

3x+5y=48

3x+5(6)=48

3x+30=48

3x=48-30

3x=18

X=18/3

X=6

Therefore,

X= 6

Y= 6

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Solve: 3/x-4 >0 A.x -4 C.x>4 D.x<-4
rosijanka [135]

Answer:

C. x>4

Step-by-step explanation:

3/(x-4) > 0

3>0, so

x-4 >0

x > 4

4 0
3 years ago
Olivia scored 82 points on her first math test of the year.On the second math test she scored 78 points. What is the percent of
nadya68 [22]

There is 4.88% decrease in Olivia's score.

Step-by-step explanation:

Given,

Score on first math test = Old value = 82 points

Score on second math test = New value = 78 points

Change = New value - Old value

Change = 78 - 82 = -4

The negative sign indicates the decrease.

Decrease percent = \frac{Change}{Old\ value}*100

Decrease percent = \frac{4}{82}*100=\frac{400}{82}

Decrease percent = 4.88%

There is 4.88% decrease in Olivia's score.

Keywords: percentage, difference

Learn more about percentage at:

  • brainly.com/question/8520610
  • brainly.com/question/846474

#LearnwithBrainly

5 0
3 years ago
The average yield of the standard variety off soybeans per acre on a farm in a region is 48.8 bushels per acre, with a standard
I am Lyosha [343]

Answer:

z=\frac{53.4-48.8}{\frac{12}{\sqrt{36}}}=2.3  

p_v =P(Z>2.3)=1-P(Z  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significantly higher than 48.8 at 1% of signficance.  

Step-by-step explanation:

1) Data given and notation  

\bar X=53.4 represent the sample mean

\sigma=12 represent the population standard deviation assumed

n=36 sample size  

\mu_o =48.8 represent the value that we want to test  

\alpha=0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is higher than 48.8, the system of hypothesis would be:  

Null hypothesis:\mu \leq 48  

Alternative hypothesis:\mu > 48  

Since we assume that know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{53.4-48.8}{\frac{12}{\sqrt{36}}}=2.3  

4)P-value  

Since is a right tailed test the p value would be:  

p_v =P(Z>2.3)=1-P(Z  

5) Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significantly higher than 48.8 at 1% of signficance.  

3 0
3 years ago
I need help plz ???
jasenka [17]

Answer: M=-2 , B= 2 , Equation: Y= -2x+2

Step-by-step explanation:

M is the slope. Slope is "rise / run", so 2 over -1. simplified, that is -2. B is the y-intercept, or where the graph crosses the y-axis. So, b will be 2.

8 0
3 years ago
GIVING BRAINLEST TO THE PERSON WHO ANSWERS IT FIRST AND CORRECT!!
Kruka [31]

Answer:

read below explanation

Step-by-step explanation:

KEY= C;CAROL T;TINO B;BAXTER

inches: C=90 T=90 B=90

Feet: C=7.5 T=7.5 B=7.5

Yards C=2.5 T=2.5 B=2.5

5 0
3 years ago
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