7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5

and

5(3x+4) -2x = 7x -3(-2x+11)​

Answers

Answer 1

Answer:

For the first problem the answer is x=4

The second Problem the answer is no solutions

Step-by-step explanation:

7x−(3x+5)−8=1/2 (8x+20)−7x+5

7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)

7x+−3x+−5+−8=4x+10+−7x+5

(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)

4x+−13=−3x+15

4x−13=−3x+15

Step 2: Add 3x to both sides.

4x−13+3x=−3x+15+3x

7x−13=15

Add 13 to both sides.

7x−13+13=15+13

7x=28 Divide both sides by 7.

x=4

5(3x+4) -2x = 7x -3(-2x+11)​

Simplify both sides of the equation.

5(3x+4)−2x=7x−3(−2x+11)

(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)

15x+20+−2x=7x+6x+−33

(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)

13x+20=13x+−33

13x+20=13x−33

Subtract 13x from both sides.

13x+20−13x=13x−33−13x

20=−33

Step 3: Subtract 20 from both sides.

20−20=−33−20

0=−53

There are no solutions.

Answer 2

Answer:

Step-by-step explanation:

7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5

1. Distributive Property

7x - 3x - 5 - 8 = 4x + 20 - 7x + 5

2. Combine like terms

4x -13 = -3x + 25

3. Add 13 on both sides

4x -13 + 13 = -3x + 25 + 13

4x = -3x + 38

4. Add 3x on both sides

4x + 3x = -3x + 3x + 38

7x = 38

5. Divide by 7 on both sides

7x / 7= 38 / 7

x = 5.428571428571429

or

x = 5.4

__________________________________________________________

5(3x+4) -2x = 7x -3(-2x+11)​

1. Distributive Property

15x + 20 - 2x = 7x + 6x - 33

2. Combine like terms

13x + 20 = 13x - 33

3. Subtract 20 on both sides

13x + 20 - 20 = 13x - 33 - 20

13x = 13x - 53

4. Subtract 13x on both sides

13x - 13x = 13x - 13x - 53

0 = -53 ( there is no answer for x)

Hope this helped!!!!


Related Questions

−9,000÷3=−3,000 What does -3,000 tell me

Answers

Answer:

Step-by-step explanation:

SEARCH IT UP!!!!!!!

. Mark's profile picture is 4 inches tall, but his actual height is 76 inches. What is the scale factor from his profile picture to his actual height?

Scale factor =
19
72
16
38
3b. If the profile picture of Mark's sister is 3.5 inches tall, how tall is her actual height?
Her actual height is _____ inches.
70
82
59.5
66.5

Answers

Step-by-step explanation:

Answer: 19, because all you´re doing for mark is dividing his actual height from the profile picture.

Marks sister: 66.5, because you will take her height (3.5) and you will put x over 3.5 in fraction form. Then you will take marks profile picture height, and put it in fraction form (76 over 4) then you will cross multiply 3.5 and 76 which will give you 266. Then you´ll divide 266 by 4 which would give you 66.5

simplify if possible 3t+2g-t-3g

Answers

Answer:

2t-g

Step-by-step explanation:

Collect like terms

3t-t= 2t

2g-3g= -g

2t-g

The numbers –12, –7, –2, 3, . . . follow a pattern. What are the next three numbers in this pattern? A. 8, 13, 18 B. 5, 10, 15 C. 2, 8, 13 D. 8, 14, 17

Answers

Answer:

A.

Step-by-step explanation:

5 is added each time

3 + 5 = 8

8 + 5 = 13

13 + 5 = 18

Answer:

8,13,18

Step-by-step explanation:

Which side has a length of 10 units?

Answers

Answer:

I'm not honestly for sure but i'm guessing the side G, J because it is the longest!

Hope this helps,

0Drink0Milk0

it is Gj your welcome it has to be

Hey guys ( or gals ) I have no idea what to do please help me.

Answers

Answer:

Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.

You would have to find a GCF (greatest common factor) and multiply it out of the radical.

ex.

[tex]\sqrt{6}[/tex] = 2 x 2 x 2

when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2

2[tex]\sqrt{2\\}[/tex]

so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.

[tex]\sqrt{11}[/tex]

is an irrational number, so it might fall into 3.3 if turned into a decimal.

Step-by-step explanation:

PLEASE HELP!! Will mark brainlest!!
Which number is equivalent to 16 1/2
A. 2
B. 4
C. 8
D. 32

Answers

Answer:

I'm not even lying, it's none of them ;-;

btw if you want, can you give me brainliest :((

Answer:

4

Step-by-step explanation:

16^(1/2)

when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number

we are left with an order 2 root, which is a square root

[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]

9 ⅚ + 1 ¼ + ___________ = 14

Answers

Answer:

14

reeaADADSDDSSA

Step-by-step explanation:

[answer 1 11/12 or 2.917]

1. 9 5/6 + 1 1/4 =  11 1/12

2. 14 - 11 1/12 = 35/12 then you smiplfy to get  1 11/12 or 2.917

how many degrees is the measurement of angle 1? show you work GVING BRAINLY

Answers

Answer:

m<1 = 79°

Step-by-step explanation:

12x + 19 + 22x - 9 = 180

add the numbers

34x + 10 =180

minus 10

34x = 170

divide by 34

x = 5

plug 5 into the equation of angle 1

12(5) + 19 =

79

Ramona has a bag that contains candies of the same size and shape. There are 5 green candies, 4 orange candies and 3 yellow candies. She draws a candy at random, replaces it, and then draws a second candy. What is the probability that both candies will be orange?

Answers

Answer:

the answer is 1/3

Step-by-step explanation:

HEELLPPP!!!!! fastttt plzzzzz!

The sales for products sold at an electronic store are below. What percent of the products sold were speakers?

Answers

Answer:

6.00%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?

PLEASE ANWSER SERIOUSLY

Answers

Answer:

im pretty sure its 56.25 cus 45= 80% of 56.25

Step-by-step explanation:

15 * 15 is?
YYYYYYYYYYYYYYYYYYYYYYY

Answers

Answer:

225 I just checked tell me if you're right

Answer:

15*15 = 225

15*15 is the same as [tex]15^{2}[/tex]

if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.

no matter how ya do it, 15 *15 is 225

Step-by-step explanation:

Expand and simplify
(x + 3)(x + 5)​

Answers

Answer:

x^2+8x+15 this is it simplified

which of the following is a solution to the linear function y = 4/5x+7

Answers

I think it’s X= -35/4

Where would be located on the number line below?


between P and Q
between Q and R
between M and N
between N and P

Answers

Between p and q is the one

What is a real solution and examples of real solutions

Answers

Answer:

A real solution in algebra is simply a solution to an equation that is a real number.

for example

If y>0, then x2 = y has two real solution or roots. x = ±√y

If y=0, then x2 = y has one real solution.

What is the range of the cluster in the scatter plot?

A: Between 4 and 8 years of experience
B: Between 6 and 12 years of experience
C: Between $10,000 and $60,000
D: Between $40,000 and $60,000

Answers

Answer:

b

Step-by-step explanation:

answer :


b


hope this helped

PLEASE HELP WILL GIVE 30 POINTS

The data set shows the ages of guests on a recent tour of a museum: 34, 18, 29, 60, 44, 51, 65, 68.
A. What is the five-number summary of the data? Show your work.
B. How could the museum curator use this information to improve sales at the gift shop?

I already did part A I just need help on part B

The five-number summary is
Min: 18 Max: 68 Median: 47.5
Q1: 31.5 Q3:62.5

Answers

he can use the information to put stuff on sale so more people will come and he can make more money

Step-by-step explanation:

A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.

Answers

Answer:

[tex]A=0.0192[/tex]

Step-by-step explanation:

Diameter labeled twelve centimetres D =12cm => 0.12

height labeled thirty-two centimetres H= 32cm => 0.32

Generally the vertical cross section of this cone is a triangle

Mathematically solving

Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]

[tex]A=R*H[/tex]

Therefore

[tex]A=\frac{0.12}{2} *0.32[/tex]

[tex]A=0.06 *0.32[/tex]

[tex]A=0.0192[/tex]

Select the three situations that model a sum of zero.
Explain your answer. ​

Answers

i believe it’s the first third and fourth because, 10 and -10 cancel out to 0, moving 12 and going -12 back also cancels out and the car returns to the ground so the toy car ends in the same place it started

Answer:

Step-by-step explanation:

1,2,4

Juan deposits $1,500 into a savings account that pays 4.5% interest compounded annually. If Juan makes no deposits or withdrawals, how much money will be in his savings account after 3 years?

Answers

Answer:

$1711.5

Step-by-step explanation:

Step one

given data

Principal = $1500

interest rate= 4.5% = 0.045

time = 3 years

Step two:

The compound interest expression is

[tex]A= P(1+r)^t\\\\A=1500(1+0.045)^3\\\\A=1500(1.045)^3\\\\A=1500*1.141\\\\A=1711.5[/tex]

If one of the diagonals of a rectangle is 20cm and the difference between the length and the width is 4cm. What is the area of the triangle

Answers

Answer:

192cm²

Step-by-step explanation:

The diagonal of the rectangle is expressed using the formula:

d = √l²+w²

l is the length

w is the width

Given d = 20

20 = √l²+w²

400 = l²+w² .... 1

Since the difference between the length and the width is 4cm, then;

l - w = 4 ... 2

l = 4 + w

Substitute equation 2 into 1;

400 = (4+w)²+w²

400 = 16 +8w + w² +w²

400 = 16 + 8w + 2w²

2w²+8w - 384 = 0

w²+4w - 192 = 0

w = -4±√4²-4(-192)/2

w = -4±√16+768/2

w = -4±28/2

w = -4+28/2

w = 24/2

w = 12

Since l = w+4

l = 12+4

l = 16

Area of the rectangle = 16 * 12

Area of the rectangle = 192cm²

Answer:

rytytyf

Step-by-step explanation:

yiyiuyiuy

When 80 is decreased by 15%, the new number is

Answers

Answer:68

Step-by-step explanation:

Percentage decrease = 15% × 80

New value =

80 - Percentage decrease =

80 - (15% × 80) =

80 - 15% × 80 =

(1 - 15%) × 80 =

(100% - 15%) × 80 =

85% × 80 =

85 ÷ 100 × 80 =

85 × 80 ÷ 100 =

6,800 ÷ 100 =

68

What is the vertex of the function defined as
g(x) = f(x – 5) + 3?

Answers

Answer:

f=gx−3/x−5

Step-by-step explanation:

Step 1: Flip the equation.

fx−5f+3=gx

Step 2: Add -3 to both sides.

fx−5f+3+−3=gx+−3

fx−5f=gx−3

Step 3: Factor out variable f.

f(x−5)=gx−3

Step 4: Divide both sides by x-5.

f(x−5)/x−5=gx−3/x−5

can someone pls answer this question for my sis she's in the 4th grade and i don't remember how to solve this

17/15 - 4/5

TYSM( btw worth twelve points )

Answers

Answer:

i think its 13/45

Step-by-step explanation:

In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.

Triangle D E F has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments D C, E B, F A.

[Figure may not be drawn to sacle]

What is DG?

12 units
17 units
34 units
51 units

Answers

A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.

What is a triangle?

A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

Given that,

There is a triangle ΔDEF.

The centroid of the given triangle is G.

The medians of the triangle are DC, EB and FA.

CG = (x + 5)

DG = (3x - 2)

Here, CG and DG are parts of the median DC.

Since, centroid of a triangle divides its each medians into the ratio of 2 : 1

in the direction from the vertex to the midpoint of the opposite side.

The following expression can be written for the given problem,

DG/CG = 1/2

=> (3x - 2)/ (x + 5) = 1/2

=> 2(3x - 2) = x + 5

=> 6x - x = 5 + 4

=> x = 9/5

=> x = 1.8

Thus, DG = (3x - 2)

                = 3 × 1.8 - 2

                = 2.4

Hence, the length of DG is given as 2.4 unit.

To know more about triangle click on,

https://brainly.com/question/2773823

#SPJ1

Answer:

34 units

Step-by-step explanation:

The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.

ILL GIVE BRAINLIEST


An angle measures 100° less than the measure of its supplementary angle. What is the measure of each angle? _° and _°​

Answers

Answer:

Step-by-step explanation:

the sum of supplementary angles equal to 180

let x=angle

180-x= the other angle

180-x=x-100

2x=280

x=140

the other angle is 40

could someone please help me with this​

Answers

Answer:

E is the correct choice

Step-by-step explanation:

i hope this helps

Steve’s baseball team played 33 games and won 15 of them. What percent did the team win? *

Answers

Answer:

Approximately 45%.

Step-by-step explanation:

We know that Steve's team played in total 33 games. Out of the 33, they won 15 of them.

So, as a fraction of the total won over the total games, we can write:

[tex]\displaystyle\frac{15}{33}[/tex]

So, by dividing, the percent the team won is:

[tex]\displaystyle\frac{15}{33}=0.\overline{45}=0.454545...\approx0.45=45\%[/tex]

The team won approximately 45% of its games.

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