All categories

2 years ago

-6x-7=3x+11 how to solve this problem

1 answer:

6 0

You have to get the x to one side so you'll subtract 3x from -6x and 3x from 3x, the 3x will cancel out and -6x - 3x is -9x-7=11, you have to add 7 from both sides the 7+7 cancels out and also add 11+7 which leaves -9x=18, you have to divide -9x/-9 and do 18/-9, which gets you x=-2. Here's the work shown if you didn't what i said...
-6x-7=3x+11
-3x -3x
-9x-7=11
+7 +7
-9x=18
-9 -9
x=-2

You might be interested in

Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease

Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

$\frac{2}{3}$

Now,

First year =570000

Second year is given by

$570000\times (\frac{1}{3})$

Third year is given by

$570000(\frac{1}{3})^2$

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

$570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6$

a=570000

common ratio is given by

$r=\frac{a_2}{a_1}=\frac{1}{3}$

number of terms = 6

Sum of terms will be given by

$S_n=\frac{a(1-r^n)}{(1-r)}$

We'll put this value in this formula,

$S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16$

So, there are approximately 853827 new cases in 6 years.

6 0

2 years ago

A researcher has two percentages and wants to know if the percentages are statistically different. The researcher calculates the

love history [14]

Answer:

$p_v =2*P(Z>4.21) =2.55x10^{-5}$

And we can use the following excel code to find it:"=2*(1-NORM.DIST(4.21,0,1,TRUE)) "

With the p value obtained and using the significance level assumed for example $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the percentage 1 is significantly different from the percentage 2.

D) Are statistically different.

Step-by-step explanation:

The system of hypothesis on this case are:

Null hypothesis: $\mu_1 = \mu_2$

Alternative hypothesis: $\mu_1 \neq \mu_2$

Or equivalently:

Null hypothesis: $\mu_1 - \mu_2 = 0$

Alternative hypothesis: $\mu_1 -\mu_2\neq 0$

Where $\mu_1$ and $\mu_2$ represent the percentages that we want to test on this case.

The statistic calculated is on this case was Z=4.21. Since we are conducting a two tailed test the p value can be founded on this way.

$p_v =2*P(Z>4.21) =2.55x10^{-5}$

And we can use the following excel code to find it:"=2*(1-NORM.DIST(4.21,0,1,TRUE)) "

And the best option on this case would be:

D) Are statistically different.

4 0

2 years ago

What is the solution of log2x − 3125 = 3? (1 point)

gladu [14]

We have been asked to find the solution of

${Log_{(2x-3)}}^{125}=3\\ \\ \text{we can re-write after Removing logarithm as below}\\ \\ (2x-3)^3=125\\ \\ (2x-3)^3=5^3\\ \\ \text{Now take cubed root on both the sides we get}\\ \\ 2x-3=5\\ \\ \text{Add 3 on both the sides we get}\\ \\ 2x=8\\ \\ \text{Divide both the sides by 2 we get}\\ \\ x=4$

3 0

2 years ago

Does the ratio of cereal to pecans compare a part to part ,part to whole ,or whole a part

kondaur [170]

Ratio is the Whole cereal and pecans are part of
so it is part to part

4 0

2 years ago

Each U.S. penny weighs 2.5 grams. How many pennies (x) are on a scale if their total weight is 37.5 grams

iris [78.8K]

All you need to do is divide 37.5 by 2.5. So 37.5/2.5 = 15. Then check your answer and do 2.5 * 15 = 37.5. So the answer is 15 pennies.

6 0

2 years ago