4x - 7 (2 - x) = 3x + 2

Answers

Answer 1

Answer:

x=2

Step-by-step explanation:

4x−7(2−x)=3x+2

4x+(−7)(2)+(−7)(−x)=3x+2(Distribute)

4x+−14+7x=3x+2

(4x+7x)+(−14)=3x+2(Combine Like Terms)

11x+−14=3x+2

11x−14=3x+2

Step 2: Subtract 3x from both sides.

11x−14−3x=3x+2−3x

8x−14=2

Step 3: Add 14 to both sides.

8x−14+14=2+14

8x=16

Step 4: Divide both sides by 8.

x=2


Related Questions

Look at this equation. 2t = 10 Solve for t. Which of the following can you use to make sure your answer is correct? Question 2 options: Substitute 2 for t in the equation t = 5. Substitute 5 for t in the equation t = 5. Substitute 5 for t in the equation 2t = 10. Substitute 2 for t in the equation 2t = 10.

Answers

Answer:

Substitute 5 for t in the equation 2t = 10.

Step-by-step explanation:

2t = 10

t = 10/2

t = 5

Substitute 5 for t in the equation 2t = 10.

The solution for the equation 2t = 10 is t = 5.

This can be made sure by "Substitute 5 for t in the equation 2t = 10".

Given an equation:

2t = 10

The equation has to be solved and find the value of t.

Divide both sides of the equation by 2.

t = 10/2

 = 5

Now, the value of t = 5, which is the solution of the equation 2t = 10.

So, in order to check the correctness of the solution, substitute the solution for the value of t into the original equation, 2t = 10.

Hence the solution is t = 5, and the option to check it is c.

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PLEASE HELP A cylinder with radius 6 feet and height 6 feet has its radius doubled. How many times greater is the volume of the larger cylinder than the smaller​ cylinder? How many times greater is the volume of the larger cylinder than the smaller​ cylinder?

Answers

Answer:

16 Times Greater

Step-by-step explanation:

Smaller cylinder:

radius = 6 inches

height = 8 inches

area = (pi)r^2h

area = (3.14)6^2(8)

radius = 24 inches

height = 8 inches

area = (pi)r^2h

area = (3.14)24^2(8)

.

[(3.14)6^2(8)] / [(3.14)24^2(8)]

[6^2(8)] / [24^2(8)]

[6^2] / [24^2]

[36] / [576]

16 times greater

Answer:

Step-by-step explanation:

Smaller cylinder:

h = 6 ft

r = 6 ft

Volume of smaller cylinder = πr²h

                                             = π * 6 * 6 * 6 cubic ft

Bigger cylinder:

r = 6 * 2 = 12 ft

h = 6 ft

Volume of bigger cylinder = π * 12 * 12 * 6 cubic ft

Volume of bigger cylinder = π * 12 * 12 * 6

Volume of smaller cylinder    π * 6 * 6 * 6

                                           = [tex]\frac{2 * 2}{1*1}\\[/tex]

                                           = 4 : 1

The volume of greater cylinder is 4 times than the smaller cylinder.

Graph 5x + 3y = 15 on a graph ​

Answers

You need to find the equation of y=Mx+b

Answer is y=-5/3x+5

Brainliest?

Which phrase should be inserted in the line to make a true statement? 2/3 is _____ 8/12 A. Is greater than B. Less than C. Cannot be compared.D.is equal to (HELP I NEED THIS HURRYY PLSSSS)

Answers

Answer:

the answer is equal because 8/12=2/3 so 2/3=8/12 (2/3)

Step-by-step explanation:

someone please help me with #63! WILL MARK BRAINLIEST

Answers

Answer:

cos60=b/h

1/2= b/3

b=  3/2=1.5

again

sin60=p/h

[tex]\sqrt3[/tex]/2= p/3

p =3[tex]\sqrt3[/tex]/2

Step-by-step explanation:

Answer:

1.5 in. and [tex]\frac{3\sqrt{3} }{2}[/tex]in.

Step-by-step explanation:

easier method:

angle opp. to 30 degrees is 1/2 of hypotonuse:

3/2=1.5 inches

angle opp. to 60 degrees is [tex]\sqrt{3}[/tex] of 30 degree angle:

3/2*[tex]\sqrt{3}[/tex]=3[tex]\sqrt{3}[/tex]/2

Which expressions are equivalent to the given expression?

Answers

Answer: 1/ x^2y^5 or the third option from the top

Step-by-step explanation:

A road map is drawn to the scale of 1 inch equals 20 miles. How far apart in miles are two towns which are 2 1/2 inches apart on the map?

Answers

50

Step-by-step explanation:

You set this up with a ratio,  1:20 or 1 equals 20 miles.   So i'm multiplying by 20 regardless.   Now I have 2 and a half inches or you can say 2.5.  Multiply 2.5 (on paper..) and 20 and there you go.    20 times 2 equals 40 and 20 times a half is 10, 40 + 10= 50.  

Which are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”? Check all that apply. It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.” The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides. The hypothesis is: it is a trapezoid. The conclusion is: a quadrilateral having exactly one pair of parallel opposite sides. The conclusion is: it is a trapezoid.

Answers

Answer: A,B,E

Step-by-step explanation:

The statement is "The conclusion is: it is a trapezoid." the correct option is D.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

We are given that;

The statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”

Now,

The following statements are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid":

It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”

The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.

The conclusion is: it is a trapezoid.

Therefore, by quadrilaterals the answer will be "The conclusion is: it is a trapezoid."

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MATH


Please heeeeeeeeeeeeeeelp​

Answers

Answer:
1. 5mn
2. -125p^3q^6

Step by Step:
1. 15m^2n^2/3mn
=5mn^2/n
=5mn

2. (-5q^2p)^3
=(-5pq^2)^3
=-125p^3q^6

Which expression is equivalent to –3 – 3x – 1 + x?
2x – 4
–2x + 4
–2x – 4?
4 – 2x

Answers

Answer:

-2x-4

Step-by-step explanation:

-3-1-3x+x

-4-2x

Answer:

-2x-4?

Step-by-step explanation:

Assignment on Edge 2021

⊂(®ω®)⊃  

Solve for x x-23=17

a -40
b 40
c -6 d 6

Answers

Answer: It is B - 40

Step-by-step explanation:

40-23 = 17

Answer:

40

Step-by-step explanation:

x-23 =17

x=17 +23

x=40

What number is 7 unit to the leaft of -1

Answers

Answer:

-8

Step-by-step explanation:

Since its going left I’m assuming it means negative. So you’re adding -7 to -1.

That gives you -8.

help me please i need help

Answers

Answer: x=y/(3b-7)

Step-by-step explanation:

To solve for v, you want to use algebraic properties to isolate x.

y=3bx-7x                [factor out x]

y=x(3b-7)                [divide both sides by 3b-7]

x=y/(3b-7)

Now, we know that x=y/(3b-7).

Answer:

3bx -7x = y

or, x(3b -7) = y

or, x= y/(3b -7)

-5, -6, 0,6
Which pair of numbers has a sum of zero? (5 points)
-6,0
-5,6
6, -6
-5,0

Answers

Answer:

6,-6

Step-by-step explanation:

6+(-6)=6-6=0

The answer is 6,-6

Find the derivative of the function. g(x) = ∫5 x 4 x u2 − 1u2 +1 dug'(x) = g

Answers

Answer:

[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]

Step-by-step explanation:

The question can be better structured and represented as :

[tex]g(x) = \int ^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ du[/tex]

now the derivative of the function of g(x) is g'(x) which is equal to:

[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2 +1 }\dfrac{d}{dx}(5x) - \dfrac{(4x)^2-1}{(4x)^2 +1 }\dfrac{d}{dx}(4x)[/tex]

[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]

Can someone help me with 4?

Answers

Answer:

ok so the answer is 343

Step-by-step explanation:

so for 4) you first use PEMDAS(Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction), and you do what's in the parenthesis first, so 7^4= 2401, that is inside the parenthesis, next you do the exponent outside the parenthesis, so is (2401)^2=5764801, and then you divide the 7^5=16807, so it looks like 5764801/16807=343

hope it helps

Answer:

The Answer is 343.

Step-by-step explanation:

First- We do the parenthesis first according to PEMDAS which is 7 x 7 x 7 x 7 equals 2401.

Next- We do 2401 x 2401 which equals 5764801.

Then- We do the bottom exponent which is 7 x 7 x 7 x 7 x 7 equals 16807.

Last- We divide 5764801 by 16807 and we get 343.

Hope this helps!

A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on the scale drawing? Explain or show your reasoning.

Answers

Answer: 12.5 cm

Step-by-step explanation:

Equation would be:

1:80

?:1000

So you'll just have the cross multiply the equation above to find ? ( scale drawing lake). It'll be 1000*1/80 which will be 12.5 cm.

                               

The width of the lake on the  scale drawing is 12.50 cm

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

The scale drawing is usually reduced at a constant dimension

Dimension of the scale drawing = original dimensions / scale of the drawing

The scale is 1 cm to 80m

Thus, the width of the lake on the  drawing = 1000 / 80 = 12.50cm

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A student has some​ $1 and​ $5 bills in his wallet. He has a total of 14 bills that are worth ​50$. How many of each type of bill does he​ have?

Answers

Answer:

3.5$

Step-by-step explanation:

Nine 5's and five 1's. Nine five-dollar bills hit $45 dollars, and the remaining $5 can only be paid in 1's to reach 14 bills.

If the length of a box of Milk Duds box is tripled, how much longer will the box be?​

Answers

Answer:

3x

Step-by-step explanation:

x = original length of the box.

~theLocoCoco

3.60 rounded to the nearest tenth

Answers

Answer:

3.6 its already rounded just take off the 0

The requried when rounding 3.60 to the nearest tenth is given as 3.60.

When rounding a number to the nearest tenth, we consider the digit immediately to the right of the tenth place. In this case, the number is 3.60.

The digit in the hundredth place is 0. Since it is less than 5, we do not need to round up. When rounding to the nearest tenth, if the digit in the hundredth place is 5 or greater, we would round up by increasing the digit in the tenth place by 1. However, if the digit in the hundredth place is less than 5, we leave the digit in the tenth place as it is.

In this case, since the digit in the hundredth place is 0, we simply keep the digit in the tenth place, which is 6. Therefore, rounding 3.60 to the nearest tenth results in 3.6.

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What is the value of the expression 2.58 x - 53?​

Answers

Answer:

-136.74

Step-by-step explanation:

-136.74 is the answer because 2.58x53= 136.74 and then because one of the numbers is negative and in multiplication and devision if there is an odd number of negatives it’s negative and if there is an even amount it’s positive

Divide 2.9 x 107 by 6.9 x 103 by using scientific notation. Round your answer to one decimal place in scientific notation with no spaces

Answers

I think it’s 85 if I’m wrong Im really sorry

If you run a 10 km race in 43 minutes 30 seconds, what is your average time per mile? What is your average speed in mph? Hint: there are 1.61 km in a mile.

Answers

Answer:

Your Average Speed was 8.57057285 mph.

Step-by-step explanation:

Please answer this question

Answers

Answer:

I think it would be B but im not completly sure.

The age of Noelle’s dad is 6 less than 3 times Noelle’s age. The sum of their ages is 74. Find their ages

Answers

Noell is 17 and her father is 45
Noelle is 20. Her dad is 54.

Please please help fast

Answers

Answer:

no I'm pretty sure. hope it helps

Answer: No

Step-by-step explanation:

First convert 10 feet to yards and also 20 inches to yards.

10 feet to yards is 3.3 and 20 inches to yards is  0.55

Now add them to see if they equal to 4 or greater than.

0.55 + 3.33= 3.88

3.88 is less than 4 so Anis will not be able to make a fence

2 lines intersect. Where the 2 lines intersect, 4 angles are created. Labeled clockwise, from uppercase right: angle 1 (3 x minus 1) degrees, angle 2 is blank, angle 3 (2 x + 9) degrees, and angle 4 is blank. What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.

Answers

Answer:angle 1 and 3 measure 29 degrees.

angle 2 and 4 measure 151 degrees.

Step-by-step explanation:

Answer:

29 and 151

Step-by-step explanation:

I need help on. this question. (3x^6)^3 the answer must have one exponent

Answers

Answer:

[tex]27x^{18}[/tex]

Step-by-step explanation:

[tex]\left(3x^6\right)^3[/tex]

Separate [tex]3x^6[/tex]:

[tex]3^3\times\left(x^6\right)^3[/tex]

[tex]27\times\left(x^6\right)^3[/tex]

[tex]27x^{6\times3}[/tex]

[tex]27x^{18}[/tex]

parallel to y = 3x – 1 and passes through the point ( – 4, – 11)

Answers

If the line is parallel, you know it’s going to have the same slope, which in this case is 3

Using the format y= mx + b, plug in your x and y values to find b (m is the slope)
-11 = 3(-4) + b
-11= -12 + b
b = 1

You now have all the needed values to write the equation in slope-intercept form:

y = 3x + 1



A serving of small frozen casserole is 1/3 of the pan. If you eat 1/4 of the pan, what fraction of a serving have you eaten

Answers

Answer:

If the portion of frozen casserole occupies 1/3 of the pan, it can be affirmed that it occupies 0.333 of it. Thus, if someone eats 1/4 of the pan, it could be stated that they are eating 0.25 of it.

Therefore, to determine the fraction of the portion that has been eaten, the following calculation must be performed:

33 = 100

25 = X

(25 x 100) / 33 = X

2500/33 = X

75.75 = X

25/33 = X

Therefore, the fraction of the serving that was eaten is 25/33, or 76% of the serving.

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