All categories

3 years ago

Solve the equation. −10x + 1 + 7x = 37 x = −15 x = −12 x = 12 x = 15

Mathematics

2 answers:

k0ka [10]3 years ago

6 0

−10x + 1 + 7x = 37

-10x+7x+1=37

-3x+1= 37

Move +1 to the other side. Sign changes from +1 to -1.

-3x+1-1= 37-1

-3x=36

Divide by -3.

-3x/3= 36/-3

x= -12

Answer : x= -12

Artyom0805 [142]3 years ago

5 0

Answer:

x=-12

Step-by-step explanation:

−10x + 1 + 7x = 37

Solve the given equation for x

WE need to get 'x' alone.

First we combine like terms

$-10x + 1 + 7x = 37$

$-3x + 1 = 37$

Now we subtract 1 from both sides

$-3x + 1-1= 37-1$

$-3x= 36$

Divide both sides by -3

$x=-12$

So the value of x= -12

You might be interested in

Which of the following is the graph of Y -

Ipatiy [6.2K]

Answer:

the line that goes up and down is the y top is positive

the one that goes left to right is the X and if the Y line goes below the x is negative.

3 0

3 years ago

The difference between two numbers is 14. if 1/3 of the larger number is subtracted from the smaller number ,the result equals 1

otez555 [7]

Answer:

Step-by-step explanation:

x-y=14

x-1/3y=1/10

-y=14-x

y=-14+x

take out the factors

x-10/30y=3/30

30x-10y=3

substitute

30x-10(-14+x)=3

30x+140-10x=3-140

20x/20=-137/20

x=-6.85

y=-14+(-6.85)

y=-20.85

7 0

3 years ago

A professional baseball team won 84 games.The team won 14 more games than it lost.There were no ties.How many games did the team

babunello [35]

Hello There!

Games won = 84
Games lost = 84 - 14
Games lost = 70
Total games played = games lost + games lost
Total games played = 84 + 70
Total games played = 154.

They played 154 games and lost 70 games.

Hope This Helps You!
Good Luck :)

- Hannah ❤

7 0

3 years ago

An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr

Veseljchak [2.6K]

Answer:

The calculated value |t| = 2.375 > 2.1009 at 0.05 level of significance

Null hypothesis is rejected 

Alternative hypothesis is accepted

The extra carbonation of cola results in a higher average compression strength

Step-by-step explanation:

Step(i):-

Given data

First sample size (n₁) = 10

mean of the first sample(x₁⁻) = 537

standard deviation of the first sample (S₁) = 22

second sample size (n₂) = 10

mean of the second sample (x₂⁻) = 559

standard deviation of the second sample (S₂) = 17

Step(ii):-

Null hypothesis : H₀:- The extra carbonation of cola results in a lower average compression strength

Alternative Hypothesis :H₁

The extra carbonation of cola results in a higher average compression strength

Step(iii):-

By using student's t -test for difference of means

Test statistic

  $t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}$ 

 where 

  $S^{2} = \frac{n_{1}S^{2} _{1} + n_{2} S_{2} ^{2} }{n_{1}+n_{2} -2 }$ 

  $S^{2} = \frac{10(22)^{2} + 10 (17) ^{2} }{10+10 -2 } = \frac{ 7730}{18} = 429.4$ 

  $t = \frac{537-559 }{\sqrt{429.4 (\frac{1}{10 }+\frac{1}{10 } } )}$ 

 t = -2.375

|t| = |-2.375| = 2.375

Degrees of freedom

γ = n₁+n₂ -2 = 10+10-2 =18

 $t_{\frac{\alpha }{2} ,n-1}=t_{(\frac{0.05}{2} ,18)} = t_{(0.025,18)}}=2.1009$ 

The calculated value |t| = 2.375 > 2.1009 at 0.05 level of significance

Null hypothesis is rejected 

Alternative hypothesis is accepted

Final answer:-

The extra carbonation of cola results in a higher average compression strength

 

5 0

3 years ago

A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 90 feet long and the water i

Marina86 [1]

41.2 ft is the answer to your question hope this helps.

4 0

3 years ago

Read 2 more answers