What value of x makes the equation –7x + 4 – 3x = –2x – 12 true?

Answers

Answer 1

Answer:

x=2

Step-by-step explanation:

To solve this equation combine like terms and move all like terms to the same side. Then, isolate the variable.

First, combine like terms that are on the same side,

-10x+4=-2x-12

Next, move -10x to the other side by adding it to both sides,

4=8x-12

Then, add 12 to both sides as well,

16=8x

Finally, isolate x by dividing the whole equation by 8,

2=x

Answer 2

Answer:

x=2

Step-by-step explanation:

I know the answer is x=2.

First, I set up the equation.

-7x+4-3x=-2x-12

Next, I added like values on each side.

-10x+4=-2x-12

Then, I added 10x to both sides.

4=8x-12

Then, I added 12 to both sides.

16=8x

Next, I divided 8 on both sides.

2=x

To make sure 2 is the true value of x, I inserted 2 to all values of x in the equation. -7(2)+4-3(2)=-2(2)-12. Both sides of the equation are -16. So, 2 is the real value of x in this equation.


Related Questions

Find the third side in simplest radical form:

Answers

Answer:

4

Step-by-step explanation:

the third side = x

Pythagorean theorem: a² + b² = c²

3² + x² = 5²

=> x² = 5² - 3²

=> x = √5² - 3²

=> x = √25 - 9

=> x = √16

=> x = 4


The city of Arachna has a spider population that has been doubling every year. If there are about 100,000 spiders this year, how many will there be 2 years from
now?

A:200,000
B:400,000
C:800,000
D:1,600,000

Answers

B: 400,000 Bbecause if it doubles every year the the first year it doubles will be 200,000 and then the second year will be 400,000
B: 400,000

Present date- 100,000

In 1 year- 100,000*2 = 200,000
In 2 years- 200,000*2= 400,000

Find the reference angle in radians: 7pi over 12

Answers

Answer:

5π/12

Step-by-step explanation:

5 pie / 12

(hope this helps can i plz have brainlist :D hehe)

Which expression has the greatest value?
2,067 + 49
20 x (2,067 + 49)
1/3x (2,067 +49)
(2,067 +49) x 21
if you help me you will get brainlyest​

Answers

Answer:

(2,067 + 49) x 21

Step-by-step explanation:

I did the math for each answer

please help me i really need help please help me please

Answers

Answer:

F'=(1,-5)

Step-by-step explanation:

First off, F is moved 4 units right and 2 units down: add 4 to the x component of the coordinate and take 2 from the y component:

-3+4=1

7-2=5

So our point is (1.5) before it is reflected over the y-axis.

When a point (a,b) is reflected over the y-axis, it's coordinates change to (a,-b). Therefore (1,5) changes to (1,-5)

I need help real quick

Answers

Iskaiwnwkwkqlakk 111”2!:$:!:!!:!

Qkwjeiwowbeueiwjeje
apple cider vinegar da baby

What is the greatest number of pizzas Mrs. Rane can buy?

Answers

Please put how many pizzas there are and how much money he has (please put the full question)

Helpp plzz will mark brainlrast

Answers

bro i will do it but just tell me the answer to question 1 cuz thats what it is referring too

Imagine that a researcher correctly computes a correlation coefficient to quantify the relationship between two variables. In the data set that she works with, low scores on Variable X tend to be paired with low scores on Variable Y, and high scores on Variable X tend to be paired with high scores on Variable Y. Based on this data set, what type of correlation coefficient should the researcher expect to find

Answers

Answer:

Positive value of correlation Coefficient

Step-by-step explanation:

The correlation Coefficient value, R is a correlation measure which gives information about both the strength of association between two variables and also the type of association between them (negative or positive). R has a standardized value which ranges from - 1 to +1

Negative relationship between variables are depicted with negative (where one variable decreases as the other increases) R value while positive association (increase in one variable means leads to increase in the other variable) are depicted with positive R values.

Therefore, for the relationship described above, the correlation Coefficient will be positive.

Find the area of this parallelogram

Answers

Answer:

140 cm²

Step-by-step explanation:

The height of the parallelogram is 10cm . And its base is 14cm .We know that the area of parallelogram is product of base and height .

⇒ Area = base × Height

⇒ Area = 14cm × 10cm

Area = 140 cm² .

Hence the area of the parallelogram is 140 cm² .

The manufacturers of a dietary supplement claim that their product will help customers lose weight. To test their claim, they select a sample of nine subjects, and their weights are recorded. Then, the ten subjects take the supplement for one month, and their weights are recorded again. The weights, before and after, are listed below: Subject 1 2 3 4 5 6 7 8 9 Before 225 245 188 210 282 275 230 195 190 After 215 240 188 212 175 260 225 200 185 Assuming that this data is used to conduct a hypothesis test to test the manufaturers' claim, what would be the test statistic

Answers

Answer:

Assuming that this data is used to conduct a hypothesis test to test the manufacturers' claim, the test statistic we an use is:

the paired sample t-test.

Step-by-step explanation:

a) Data and Analysis:

Subject   Before   After

1                 225      215

2                245     240

3                 188      188

4                210       212

5               282       175

6               275      260

7               230      225

8               195      200

9               190       185

b) The paired sample t-test is used to compare the means from the same dataset but at different times (say, one month apart).  It supports the comparison of sample data before and after the data subjects have taken the dietary supplement.  When the t-value is high, it is an evidence that the null hypothesis should be rejected.  The higher value of the t-test, therefore, indicates that there is a large difference between the two sample sets.  On the other hand, a small t-value shows similarity between the two sample sets.

What type of sequence is this? *
9, 14, 19, 24, 29, ..

Answers

Answer:

an arithmetic sequence

Step-by-step explanation:

I think it's because it adds 5 each time and in arithmetic sequences there's a common difference, so it'd be an arithmetic sequence :)

help me for a brianly

Answers

Answer:

32 yd²

Step-by-step explanation:

because 8 • 4 is 32 so it's 32 yd²

Answer:

A = 32 yds^2

Step-by-step explanation:

We know the formula for the area of a rectangle is

A = lw  where l is the length and w is the width

A = 4 yds * 8 yds

A = 32 yds^2

If the price of onions is $8 per pound, how much would 4.7
pounds of onions cost?

Answers

Answer:

37.6 dollars

Step-by-step explanation:

4 pounds = 32 dollars

0.2 pound = 1.6 dollars

0.5 = 4 dollars

0.1 = 0.8 dollars

The state of Georgia has roughly 10⁷ human residents. Each human has roughly 10¹³ bacteria cells in his or her digestive tract. How many bacteria cells are there in the digestive tracts of all the humans in Georgia?

Answers

Answer:

10^20

Step-by-step explanation:

So in this word problem, we have to multiply 10^13 bacteria cells on a single person by the 10^7 of people.

Always remember this, when you have exponenets with the same bases, and the question asks for multiplying and dividing exponents, you just need to add and subtract the exponent.

So in this case, we will just add since it calls for multipactation.

So we need to solve:

10^13+7

This will just equal:

10^20 power

Hope this helps ;)

A traveling circus is moving in a train consisting of 20 cars, which were randomly adjoined to each other. 2 cars are carrying clowns, 2 cars house trapeze artists, 4 are reserved for lions, 4 - for bears, 4 - for elephants, and 4 for tents and provisions. What is the probability that no elephant or bear car precedes the first car with lions

Answers

Answer:

the no elephant or bear car precedes the first car with lions is 0.60

Step-by-step explanation:

The computation of the probability is shown below:

= 1 - (no depend or acrobat car precedes)

=  1 - (4 ÷ 20  + 4 ÷ 20)

= 1 - 8 ÷ 20

= 20 - 8 ÷ 20

= 12 ÷ 20

= 0.60

Hence, the no elephant or bear car precedes the first car with lions is 0.60

The same would be considered and relevant too

Help me please and B

Answers

Answer:

answer a

Step-by-step explanation:

Write 3 ratios equivalent to 2/5

Answers

Answer:

4/10, 6/15, 8/20

Step-by-step explanation:

to Find the quotient of 4÷1/5 multiply 4 by WHAT???




HURRY PLSS​

Answers

Answer:

So 4 ÷ 1/5 = 4 × 5. So your answer is 5.

WILL GIVE BRAINLEST!!!!!
On Saturday, Joe ran (M) miles in 1.5 hours. On Sunday, he ran four times as far in six hours. If his average speed for two days is 6 mph, how far did he run on Saturday?

A. 5.3 miles

B. 9 miles

C. 7 miles

D. 13.5 miles

Answers

Answer:

D I'm not sure if it is correct but I'm sorry if wrong Good luck!

Answer: C or D

Explanation: not really sure but I think it’s one of them

10 POINTS FOR THE CORRECT ANSWER PLEASE HELP ME

Answers

Answer:

10.3

Step-by-step explanation:

6²+b²=9²

36+b²=81

b²=81-36

b²=45

b=√45

b=6.7

So CE is 6.7.

6²+b²=7²

36+b²=49

b²=49-36

b²=13

b=√13

b=3.6

so EA is 3.6

AC = CE+EA = 6.7+3.6 = 10.3

The volume of a right circular cone with radius r and height h is V = pir^2h/3.
a. Approximate the change in the volume of the cone when the radius changes from r to r and the height changes from h = 4.00 to h = 3.96.
b. Approximate the change in the volume of the cone when the radius changes from r to r and the height changes from h = 10.0 to h = 9.92.
a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)
b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)

Answers

The question is incomplete. The complete question is :

The volume of a right circular cone with radius r and height h is V = pir^2h/3. a. Approximate the change in the volume of the cone when the radius changes from r = 5.9 to r = 6.8 and the height changes from h = 4.00 to h = 3.96.

b. Approximate the change in the volume of the cone when the radius changes from r = 6.47 to r = 6.45 and the height changes from h = 10.0 to h = 9.92.

a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)

b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)

Solution :

Given :

The volume of the right circular cone with a radius r and height h is

[tex]$V=\frac{1}{3} \pi r^2 h$[/tex]

[tex]$dV = d\left(\frac{1}{3} \pi r^2 h\right)$[/tex]

[tex]$dV = \frac{1}{3} \pi h \times d(r^2)+\frac{1}{3} \pi r^2 dh$[/tex]

[tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]

a). The radius is changed from r = 5.9 to r = 6.8 and the height is changed from h = 4 to h = 3.96

So, r = 5.9  and dr = 6.8 - 5.9 = 0.9

     h = 4  and dh = 3.96 - 4 = -0.04

Now, [tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]

[tex]$dV = \frac{2}{3} \pi (5.9)(4)(0.9)+\frac{1}{3} \pi (5.9)^2 (-0.04)$[/tex]

[tex]$dV=44.484951 - 1.458117$[/tex]

[tex]$dV=43.03$[/tex]

Therefore, the approximate change in volume is dV = 43.03 cubic units.

b).  The radius is changed from r = 6.47 to r = 6.45 and the height is changed from h = 10 to h = 9.92

So, r = 6.47  and dr = 6.45 - 6.47 = -0.02

     h = 10  and dh = 9.92 - 10 = -0.08

Now, [tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]

[tex]$dV = \frac{2}{3} \pi (6.47)(10)(-0.02)+\frac{1}{3} \pi (6.47)^2 (-0.08)$[/tex]

[tex]$dV=-2.710147-3.506930$[/tex]

[tex]$dV= -6.22$[/tex]

Hence, the approximate change in volume is dV = -6.22 cubic units

Ms. Alders has $50 to buy prizes for the treasure box in her classroom. She bought 12 packages of stickers, 8 boxes of pencils, and 14 boxes of erasers. Each package of stickers cost $1.50, each box of pencils cost $1.35, and each box of erasers cost $0.80. How much money did Ms. Alders have left after these purchases?
A.$40.00
B.$10.00
C. $16.00
D $34.00

Answers

the answer is $10

if you add up the total price for each of the items it totals to $40, she has $50 so $50-$40=$10

Muhammad spent $45 buying three pizzas and two orders of wings for his roommates. Each pizza cost twice as much as the wings +1 dollar what does one order of wings cost?

Answers

MARK BRAINLIEST SO I CAN LEVEL UP
so I did $45 divided by 3 and got $15 I then divided $15 by 2 since the cost of one pizza is the cost of the wings plus $1 so you get $7.50 so you add $7.50 plus 1 and you get $8.50 therefore one order of wings in $8.50

от
Background
14/15 -
Wesley walked 11 miles in 4
hours.
If he walked the same distance every hour,
how far did he walk in one hour?
Write your answer:
a. Using only miles
b. Using a whole number of miles and a whole number of feet

Answers

Answer:

2.75 miles, 14520 feet

Step-by-step explanation:

11 miles/4=2.75

1 mile=5280 feet

2.75 miles=14520 feet

The angle measures of a triangle are shown in the
diagram.

What is the value of x?
FOR BRAINLIST!!

Answers

Answer: 30

Reason: you divide 60=2x which makes x=30

Type the correct answer in each box.
y у
&
X
1000
Z
1500
The three interior angle measures of this triangle are x=
y=
, and z=
Reset
Next
2021 Edmentum. All rights reserved.

Answers

Answer:

x = 30°

y = 70°

z = 80°

Step-by-step explanation:

[tex]x = 180 \degree - 150 \degree = 30 \degree \\ \\ z = 180 \degree - 100 \degree = 80 \degree \\ \\ y = 180 \degree - (30 \degree + 80 \degree ) \\ \\ y = 180 \degree -110 \degree \\ \\ y = 70 \degree[/tex]

If F(x) = 5x – 7 and G(x) = -2x+9, what is F(G(x))?

A. -10x+38
B. 10x2 -59x+63
C. -10x2 +59x-63
D. -10x+23

Answers

The answer would be A

The length of a rectangle is 20 meters and the width is 4 meters. What is the perimeter of the rectangle? Do not include units in your answer

Answers

Answer:

48

Step-by-step explanation:

Find the distance between the points (3,7) and (3,2)

Answers

Answer:

5 units.

Step-by-step explanation:

Since the distance is straight up.

You have two options:

Graph those two points and count the spaces separating them

or

Since they have the same x, you would only need to subtract 7-2.

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