All categories

3 years ago

Solve the Equation. Show work and explain steps. 2(x +4) +2 = 3(x − 2) +x

Mathematics

2 answers:

Sophie [7]3 years ago

6 0

Answer:

X = 8

Step-by-step explanation:

A breakdown of the calculation is attached. I hope you find it helpful, thanks.

kolbaska11 [484]3 years ago

5 0

Answer:

first step.

Multiply everything in the brackets by the number outside of the brackets.

then; 2x + 8 = 3x - 6

second step.

Collect the like terms, pronumerals on one side and numbers on one side .

2x - 3x = -6 - 8

-x = -14

therefore divide each side by -1 to make it look good then we end up with

x = 14

that's the answer.

You might be interested in

I need help plzzzzzzzzz help me

andrew11 [14]

Answer:

Which do you need help with?

1. -6 is 4 units from -2 in the negative direction.

2. A. and D

Step-by-step explanation:

When adding negative numbers the negative will be more, but if you are adding positive and negative numbers, whichever sign (+ or -) has the bigger number then that is the sign of the answer.

Additive inverses are when two numbers are added together to equal zero. Therefore if you have -3+3, it would be an additive inverse.

Hope this helps.

5 0

3 years ago

Help me asap you guys i need help

Thepotemich [5.8K]

Hi there! :)

Answer:

$\huge\boxed{C}$

To simplify the process, convert each given weight into standard notation:

Lion:

$1 * 10^{5} = 1 * 100000 = 100,000 g$

Ant:

$2 * 10^{-3} = 2* 0.001 = 0.002$

Divide the ant's weight from the lion's weight:

$100000 / 0.002 = 50,000,000$

Convert to scientific notation: (use # of zeros to determine exponent)

$50,000,000 = 5 * 10^{7}$

Therefore, the correct answer is C.

5 0

3 years ago

Dina is arranging 45 wedges of cheese on 7 plates. Each plate has the same number of wedges.

slamgirl [31]

C. 3.

7 × 6 = 42.

45 - 42 = 3.

5 0

3 years ago

Read 2 more answers

Fractions equivalent to -2/-3

Amanda [17]

Answer:

2/3, 4/6, -4/-6... gtg sorry if you needed more

Step-by-step explanation:

7 0

2 years ago

An auto company claims that the fuel efficiency of its sedan has been substantially improved. A consumer advocate organization w

zzz [600]

Answer:

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021$

$df=n-1=12-1=11$

$p_v =P(t_{(11)}>2.021) =0.0342$

If we compare the the p value with the significance level provided $\alpha=0.1$ , we see that $p_v < \alpha$ , so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.

Step-by-step explanation:

Previous concepts

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

Let put some notation :

x=test value 2017 , y = test value 2019

x: 28.7 32.1 29.6 30.5 31.9 30.9 32.3 33.1 29.6 30.8 31.1 31.6

y: 31.1 32.4 31.3 33.5 31.7 32.0 31.8 29.9 31.0 32.8 32.7 33.8

Solution to the problem

The system of hypothesis for this case are:

Null hypothesis: $\mu_y- \mu_x \leq 0$

Alternative hypothesis: $\mu_y -\mu_x >0$

Because if we have an improvement we expect that the values for 2019 would be higher compared with the values for 2017

The first step is calculate the difference $d_i=y_i-x_i$ and we obtain this:

d: 2.4, 0.3, 1.7,3,-0.2, 1.1, -0.5, -3.2, 1.4, 2, 1.6, 2.2

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{11.8}{12}=0.983$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =1.685$

We assume that the true difference follows a normal distribution. The 4th step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021$

The next step is calculate the degrees of freedom given by:

$df=n-1=12-1=11$

Now we can calculate the p value, since we have a right tailed test the p value is given by:

$p_v =P(t_{(11)}>2.021) =0.0342$

4 0

3 years ago