How do I solve this question 5x - [7 - (2x - 1)] = 3(x - 5) + 4(x + 3)

Answers

Answer 1

Answer:

x = 6/4, or x = 3/2, OR x = 1 1/2

Step-by-step explanation:

5x - [7 - (2x-1)] = 3(x-5) + 4(x+3)

Pick one side to work on first, I will chose the right side,

Distribute on the right side.

5x - [7 - (2x-1)] = 3x - 15 + 4x + 3

Now, add like terms on the right side.

5x - [7 - (2x-1)] = 7x - 12

Now, to isolate 7 - (2x -1), subtract 5x from both sides.

so now,

-7 - (2x-1) = 2x - 12

Now, we can add 7 to both sides of the equation to isolate -(2x-1)

we add instead of subtract because the seven is a negative.

-(2x-1) = 2x - 5

Now, there is still a negative sign in front of the (2x-1), so we distribute the - to the equation.

-2x + 1 = 2x - 5

Now, we can isolate the variable and numbers bu adding five to both sides, and adding 2 to both sides. This is to make the equation easier by removing any negative terms.

6 = 4x

Divide both sides by 4

x = 6/4, or x = 3/2, OR x = 1 1/2


Related Questions

simplify
please to the end

Answers

THIS MIGHT NOT BE RIGHT CAUSE I'M SICK

What is the area of a circle with a diameter of 29 centimeters?
cm2
(Use 3.14 for Pi.)

Answers

Answer:

Step-by-step explanation:

AREA OF CIRCLE = 660.185CM^2

HOPE IT HELPS

Type the correct answer in the box. Use numerals instead of words.
Find the sum of the finite geometric series.
Mr. Jamison deposited $100 into a new savings account on January 1. On the first day of each month thereafter, he deposited three times the amount he deposited in the previous month. On June 15 of the same year, the total amount Mr. Jamison has deposited is $

Answers

Answer:

$36,400

Step-by-step explanation:

Mr Jamison deposited $100 in January

February=3*100=$300

March=3{3(100)=3^2(100)=9*100=$900

April=3^3(100)=27*100=$2,700

May=3^4(100)=81*100=$8,100

June=3^5(100)=243*100=$24,300

Total amount=$100 + $300 + $900 + $2700 + $8100 + $24300

=$36,400

The total amount deposited by Mr Jamison on June 15 is $36,400

Please help! Brainliest answer gets 10 points! what is x^2+x^4?

Answers

Answer:

Step-by-step explanation:

You cannot add these because they are not like. IF you have a value for x, then the expression could be evaluated at the x value, but you can't add them.

Chelsea received $60 for her birthday. She used three fifths of her birthday money to purchase a pair of jeans. She used two thirds of the remaining birthday money to go to the movies. How much money did Brittany have after attending the movies?

Answers

Answer: 24$

Step-by-step explanation: First, you need to do 3/5*60 which is  36$.

Then you need to find 2/3 of 36$ which is 24$. So Brittany now has 24$ after going to the movies. I hope this helps you!

(PLEASE HELP ASAP I REALLY DON’T UNDERSTAND THIS PLEASE EXPLAIN)

Answers

Answer:

Intergers

Step-by-step explanation:

A subset is a part of a whole math concept, idea, or sample space.

We need to find what math concept -5 is apart of.

-5 is part of the All Real Numbers section.

-5 is also part of integers as well.

Please help hurry!


Find the lateral surface area of the instant oatmeal container. Round your answer to the nearest hundredth.


SA = in2

Answers

Answer:

≈ 145.23 in²

Step-by-step explanation:

The lateral surface area is:

SA = 2πrh = 2*3.14*2.5*9.25 ≈ 145.23 in²
radius=2.5in=rHeight=h=9.25in=h

[tex]\\ \tt\longmapsto SA=2\pi rh[[/te]

[tex]\\ \tt\longmapsto SA=2\times 22}{7}\times (2.5)(9.25)[/tex]

[tex]\\ \tt\longmapsto SA=145.23in^2[/tex]

Can someone help me? Thanks!

Answers

Answer:

question 11: A

question 12: B

Step-by-step explanation:

Thanks calculator :)

Answer:

11. less than

12.less than

hope this helps

Step-by-step explanation:

-x/c=6.5
I need to solve for x first then c

Answers

Answer:

[tex]x = -6.5c[/tex]

[tex]c = -\frac{x}{6.5}[/tex]

Step-by-step explanation:

In both cases, you are simply isolating the variable you are trying to solve for:

[tex]\frac{-x}{c} = 6.5[/tex]

Solve for x. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. First, multiply c to both sides, and then divide -1 from both sides:

[tex]\frac{-x}{c} = 6.5\\\frac{-x}{c} * c = 6.5 * c\\-x = 6.5c\\\frac{-x}{-1} = \frac{6.5c}{-1}\\x = -6.5c[/tex]

Solve for c. Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Multiply -1/x to both sides of the equation:

[tex]\frac{-x}{c} = 6.5\\\frac{-x}{c}(c)) = 6.5(c) \\-x = 6.5c\\\frac{-x}{6.5} = \frac{6.5c}{6.5}\\c = -\frac{x}{6.5}[/tex]

Answer:

x = -6.5c

-x/6.5 = c

Step-by-step explanation:

-x/c=6.5

Multiply each side by -c

-x/c * -c=6.5*-c

x = -6.5c

-x/c=6.5

Multiply each side by c

-x/c *c=6.5*c

-x = 6.5c

Divide each side by 6.5

-x/6.5 = 6.5c/6.5

-x/6.5 = c

2. US, SV and UV are the midsegments of triangle QRT. If the length of US is 22 cm, what is the length of QT?
The last one says 33cm

Answers

Based on the triangle midsegment theorem, the length of QT is calculated as: B. 44 cm.

What is the Triangle Midsegment Theorem?

Using the image above as a reference, the triangle midsegment theorem states the length of the midsegment US, of triangle QRT is parallel to the third side, segment QT, and therefore has a length that is half of the length of segment QT.

Given that US is a midsegment in triangle QRT, and it is equal to 22 cm, therefore, we can find the length of the third side it is parallel to, side QT by  applying the triangle midsegment theorem as explained below:

The length of US = 1/2(the length of QT)

Substitute

22 = 1/2(QT)

Multiply both sides by 2

2(22) = QT

44 = QT

QT = 44 cm

Therefore, the answer is: B. 44 cm.

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Answer:

B. 44 cm.

Step-by-step explanation:

i need help please :(

Answers

Answer:

The answer is option 1.

Step-by-step explanation:

You have to apply Indices Law :

[tex] \frac{ {a}^{m} }{ {a}^{n} } ⇒ {a}^{m - n} [/tex]

So for this question,

[tex] \frac{ {7}^{ - 3} }{ {7}^{ - 5} } = {7}^{ - 3 - ( - 5)} = {7}^{ - 3 + 5} = {7}^{2} [/tex]

Answer :

7²

[tex] \frac{ {7}^{ - 3} }{ {7}^{ - 5} } = \\ {7}^{ - 3 - ( - 5)} = \\ {7}^{ - 3 + 5} = {?}^{2} [/tex]

A new brand of gym shoe claims to add up to 2 inches to an athlete’s vertical leaps. Design an experiment to test this claim.

Describe a sample procedure.

A) Find the average vertical leap of all the athletes in their regular shoes. Give the control group the new shoes and the experimental group a different pair of shoes. Find the average vertical leap of the athletes in both groups. Compare the increases in vertical leap for each group.

B) Find the average vertical leap of all the athletes in their regular shoes. Give the experimental group the new shoes and the control group a different pair of shoes. Find the average vertical leap of the athletes in both groups. Compare the increases in vertical leap for each group.

C) Find the average vertical leap of a group of athletes in their regular shoes. Then give them each the new shoes and find their average vertical leap. Compare the before and after results.

Answers

Answer:

The correct option is (B).

Step-by-step explanation:

In this case, we need to test whether the claim made by the new brand of gym shoe is correct or not.

Claim: A new brand of gym shoe claims to add up to 2 inches to an athlete’s vertical leaps.

So, we need to test whether the average vertical leap of all the athletes increased by 2 inches or not after using the new brand of gym shoe.

The sample procedure would be to compute the average vertical leap of a group of athletes in their regular shoes (or a different pair) and the average vertical leap of a group of athletes in their new shoes.

Compare the two averages to see whether the difference is 2 inches or not.

The experimental group would be the one with the new shoes and the control group would be the one with the different pair of shoes.

Thus, the correct option is (B).

Answer:

B) Find the average vertical leap of all the athletes in their regular shoes. Give the experimental group the new shoes and the control group a different pair of shoes. Find the average vertical leap of the athletes in both groups. Compare the increases in vertical leap for each group.

Step-by-step explanation:

Please help explanation if possible

Answers

Answer:

y = | x-5|

Step-by-step explanation:

y = |x-h| +k  where (h,k) is the center of the "v"

The "v" is located at (5,) so h=5 and k = 0

y = | x-5| +0

For which function is the ordered pair (4, 12) not a solution? y = 3 x y = 16 - x y = x + 8 y = 8 - x

Answers

if an ordered pair is a solution, it should satisfy the equation.

see the first option

[tex]y=3x[/tex] , if you put $x=4$ and $y=12$

you'll get $12=12$ which is true.

now the last option, $y=8-x$ put $x=4$ and $y=12$

$12=8-4\implies 12\ne4$ thus it is not a solution.

So option 4 is correct

Answer:

Last one:

y = 8 - x

Step-by-step explanation:

y = 8 - x

Replace x and y in this function

12 = 8 - 4

12 = 4 (impossible)

So, (4 , 12) is not solution for: y = 8 - x

Which property can you use to show that 6x – 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5)?

Answers

Answer:

Distributive property

Step-by-step explanation:

6x – 3x + 9y + 4 + 11 =

First, we combine like terms.

= 3x + 9y + 15

Now we use the distributive property to factor out a common factor.

= 3(x + 3y + 5)

The  property can you use to show that 6x – 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5) is  Distributive property

What is Distributive property

To show that 6x - 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5), we can use the distributive property of multiplication over addition.

The distributive property states that for any real numbers a, b, and c:

a(b + c) = ab + ac

6x – 3x + 9y + 4 + 11 =

First, we combine like terms.

= 3x + 9y + 15

Now we use the distributive property to factor out a common factor.

= 3(x + 3y + 5)

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sin theta upon 1 + cos theta + 1 + cos theta upon sin theta is equals to 2 cosec theta prove ​

Answers

Answer:

Step-by-step explanation:

I'll use x  instead of theta.

So we have:

sin x / ( 1 + cos x) + (1 +cos x) / sinx

The LCM is sin x(1 + cos x) so we have

sin^2 x + (1 + cos x)^2 /  sin x(1 + cos x)

= sin^2 x + cos^2x + 2 cos x + 1 /  sin x(1 + cos x)

Now sin^2x + cos^2x = 1 so:

= 2 + 2 cos x /  sin x(1 + cos x)

= 2(1+ cos x) /  sin x(1 + cos x)

The 1 + cos x is common so we have:

2 / sin x

= 2 cosec x.

A textbook store sold a combined total of 255 physics and math textbooks in a week. The number of math textbooks sold was 81 less than the number of physics textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

math = 87

physics = 168

Brainliest, please!

Step-by-step explanation:

Variables:

m = math, p = physics

Equations:

m + p = 255

m = p - 81

Substitution:

m + p = 255

(p - 81) + p = 255

2p - 81 = 255

2p = 336

p = 168

Solving for m:

m + p = 255

m + 168 = 255

m = 255 - 168

m = 87

Checking with the other equation:

m = p - 81

87 = 168 - 81

87 = 87

So, math = 87 and physics = 168

Brainliest, please!

4. Find the range of the number line shown below. ​

Answers

Answer:

I think is 4

Step-by-step explanation:

Please answer quickly, what is the measure of c

Answers

Answer: B. 140

===================================================

Explanation:

The only given number here is the 20 degree angle. So we'll start with that. This is an inscribed angle, which doubles to 2*20 = 40, and this is the measure of the arc the inscribed angle cuts off (inscribed angle theorem). Consequently, it means that central angle b is also 40 degrees.

With b = 40, we can see that c = 180-b = 180-40 = 140. This is because b+c = 180 as the two angles are supplementary.

Answer:

140 degrees

Step-by-step explanation:

If the given angle is 20 degrees then the other unknown angle would also be 20 degrees because this triangle is an isosceles triangle. 20+20+20=180 proving the triangle sum theorem.

3. Miss. Mead pays Miss. Adams $160.00 per week. She works 40 hours per week. Miss. Adams
was idle for 4 hours and 30 minutes during one week. How much did Miss. Mead pay for idle
time?
SHOW
a. $16.00 b. $18.00 c. $22.00 d. $24.00

Answers

Answer:

B. $18.00

Step-by-step explanation

160/4 divide 160 by 4 to see how much Miss Adams makes and hour

She makes $4 an hour

multiply this ($4) by her idle time (4.5) hours to get $18

in triangle ABC the measure of angle A is 90. the length of AB is 1 unit the length of AC is 8 unit, find the legth of BC

Answers

Answer:

8.06

Step-by-step explanation:

by using pythagoras

BC^2=1^2+8^2

BC^2=1+64

BC^2=65

BC=√65

BC=8.06

All points of the step function f(x) are graphed
What is the domain of f(x)?
O {x4 O {x] -3 < x 54}
O {x|1 < x 54}
O {x|2

Answers

I can’t tell what those options are.

The domain is the input values of a function, therefore the x values.

In this case the interval for the domain is

-4< x <= 4

please help on 30–31

Answers

Step-by-step explanation:

30-option c

because only crows r black in appearance

31-option d

thats the option which represents the question asked

PLEASE HELP ASAP!!!!! The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?

Answers

Answer:

2/3

Step-by-step explanation:

The graph point is on (3,2)

When you roll a 6-sided cube, numbered 1 to 6, the probability of rolling a 2 is . This is
an example of:
a) an experimental probability
b) theoretical probability
c) subjective reasoning
d) assumption​

Answers

Answer:

When you roll a 6-sided cube, numbered 1 to 6, the probability of rolling a 2 is 1:6. This is an example of theorectical probability.

Step-by-step explanation:

The probability of rolling a 2 on a 6-sided dice is  

1

6

The probability of rolling two 2s on two 6-sided die is, by the multiplication principle,  

1

6

×

1

6

=

1

36

Subjective is something that is based on personal opinion, so I think the answer is actually theoretical probability! Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

Hope this helps, have a good day :)

(brainliest would be appreciated?)


A textbook store sold a combined total of 331 physics and sociology textbooks in a week. The number of sociology textbooks sold was 45 less than the number
of physics textbooks sold. How many textbooks of each type were sold?

Answers

Answer: Number of sociology books sold = 143 books

              Number of physics books sold = 143 + 45 = 188 books

Step-by-step explanation:

Let us take the number of sociology books sold = x

Number of physics books sold = x+45

So now we can form an equation

x+x+45 = 331

2x+45 = 331

2x = 331-45

2x = 286

x = 286 ÷ 2

x = 143

How much would $600 invested at 8% interest compounded continuously worth after 3 years?

Answers

Answer:

[tex]a \: = \: pe ^{rt} [/tex]

[tex]a = 600e^{(.08)(3)} [/tex]

[tex]a = 762.75 \: dollars[/tex]

Since the question stated that the interest is compounded continuously, we know that Euler number is required

Rewrite the fraction with the indicated denominator

Answers

Answer:

170

Step-by-step explanation:

17/7

Multiply the top and bottom by 10

17*10/ 7*10  =170/70

The fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].

The given fraction is[tex]\frac{17}{7}[/tex].

Convert the fraction with a denominator of 70.

To do this, multiply the numerator and denominator by 10:

[tex]\frac{17}{7} \times \frac{10}{10}[/tex]

[tex]=\frac{17 \times 10}{7 \times 10}[/tex]

[tex]=\frac{170}{70}[/tex]

Hence, the fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].

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Sabina has a box containing bottles of juice. The three flavors are
orange, mango and apple. The ratio of these flavor’s is 3 : 5 : 4 There are 35
bottles of mango juice. How many bottles are there altogether?

Answers

Answer:

[tex]36 + 35 = 71[/tex]

Step-by-step explanation:

[tex]3 + 5 + 4 = 12 \\ \\ 3 \times 3 = 9 \\ 5 \times 3 = 15 \\ 4 \times 3 = 12 \\ 9 + 15 + 12 = 36[/tex]

Answer:71 is correct

Step-by-step explanation:

3+5+4=12

3*3=9

5*3=15

4*3=12

9+5+12=36

36+35=71

The double number line shows that to make 4 apple pies takes 14 pounds of apples.Select the double number line that correctly labels the number of pounds of apples that are needed to make 1 , 2, and 3 pies.

Answers

Answer:

10.5 pounds of apples

Step-by-step explanation:

4 devided by 14 = 3.5

3.5* 3 = 10.5

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