Enter the value of x that makes the given equation true

3(5 - x) = 7x - 2

Answers

Answer 1
the exact form is 17/10, decimal form is 1.7, and mixed number form is 1 7/10
Answer 2

Answer:

[tex]\boxed {x = \frac{17}{10}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]3(5 - x) = 7x - 2[/tex]

-Use Distributive Property:

[tex]3(5 - x) = 7x - 2[/tex]

[tex]15 - 3x = 7x - 2[/tex]

-Take [tex]7x[/tex] and subtract it from [tex]-3x[/tex]:

[tex]15 - 3x - 7x = 7x - 7x - 2[/tex]

[tex]15 - 10x = -2[/tex]

-Subtract [tex]15[/tex] to both sides:

[tex]15 - 15 - 10x = -2 - 15[/tex]

[tex]-10x = -17[/tex]

-Divide bot sides by [tex]-10[/tex]:

[tex]\frac{-10x}{-10} = \frac{-17}{-10}[/tex]

[tex]\boxed {x = \frac{17}{10}}[/tex]

So, the value of [tex]x[/tex] is [tex]\frac{17}{10}[/tex].


Related Questions

If Nicholas is located at (–3, 2), what is the distance to get to the grocery store?
A. 2
B. 3
C. 4
D. 5

Answers

Answer:

it would be D 5 hope this helps :)

Step-by-step explanation:

Write a proof for the conjecture using the contrapositive.
If 5x + 7 = -13, then x = -4.

Answers

The contrapositive of this statement would be: "If x does not equal -4, then 5x + 7 will not equal to -13."

what is contrapositive?

The contrapositive is defined as the inverse and converse of a conditional statement.

X is equal to 4 we know this is because the sign in between the number means greater than or equal to so 3 x 4 equals 12 which makes the equation on right true and on the left x.

So, the contrapositive of this statement would be:

"If x does not equal -4, then 5x + 7 will not equal to -13."

Learn more about contrapositive ;

https://brainly.com/question/5306301

#SPJ2

у= 6x - 27
у= 4x - 17

Answers

Answer:

x=5 y=3

Step-by-step explanation:

6x-27=4x-17

2x=10

x=5

y=6(5)-27

y=30-27

y=3

y=4(5)-17

y=20-17

y=3

4.5 is how many times the value of 1.5?

Answers

Answer:

3 times

Step-by-step explanation:

1.5 times 3 equals 4.5

adding rational numbers:
after swimming 60 feet below the surface of the water, a whale swims up 30 feet. use a number line to help you create an equation that shows the new location of the whale in relation to the water's surface.

ANSWER:

A. The equation is -60 + 30 = 30. The whale is 30 feet below the waters surface.

B. The equation is -60 + (-30) = -90. The whale is 90 feet below the waters surface.

C. The equation is -60 + 30 = -90. The whale is 90 feet below the waters surface

D. The equation is -60 + (-30) = -30. The whale is 30 feet below the waters surface.​

Answers

Answer:

First, in standard notation, we must define our zero.

In this case, would make sense to define the zero in the surface of the water.

(below is a number line so you can see the process to think this)

Then if the whale is swimming 60ft bellow the surface of the water, then the first position of the whale is:

-60

Now the whale goes up 30ft, then the new position of the whale is:

-60ft + 30ft = -30ft.

The correct option is A:

The equation is -60 + 30 = -30. The whale is 30 feet below the water's surface.

(you wrote that the equation was equal to +30 instead of -30 in the option A, i supposed that it was a typo)

Answer:

I belive the answer is A.

Step-by-step explanation:

which expression is equivalent to 54.5-6?​

Answers

Answer: 5-6•54

Hope this helps (:

Which of the following is not a function?

Answers

Answer:I think the first 1 tell me if I’m right

Step-by-step explanation:

Whoever remembers this and knows how to do dis answer correctly plz!!
It’s just simple (Grade5fractions)
(WILL MARK AS BRAINLIEST) promise!
:D

Answers

Answer:

1.  5/7 2. 8/9 3. 5/8

Step-by-step explanation:

They are all closer to one whole

Answer:

1. 5/7

2. 8/9

3. 5/8

I'm pretty sure this is correct

M is the midpoint of LN. If LM = 3x and MN = x + 8, what is MN?

Answers

Answer:

12

Step-by-step explanation:

Since M is a midpoint of LN, we can see 3x equal to x+8. Remove 1 x to get 2x=8. Solve for x to get x=4. Note that this is not the end to your problem. They asked for the length of MN, not the value of x. Plugging x into MN give you 4+8, which is 12.

(If you need to show work, here it is)

3x=x+8

2x=8

x=4

MN=x+8

MN=4+8

MN=12

Anthony writes a numerical expression 2+10x3-2 and says that the expression has a value of 34. Is Anthony correct? Explain your answer.

Answers

Answer:

he is incorrect

Step-by-step explanation:

He is incorrect because 10 times 3 is 30, plus-minus 2 which is 30. So instead of 34, it is 30. or you can say Anthony is wrong. Following the order of operations, you would do the 10*3 first. Then, you would take the 30, and finish the equation from left to right. So you would add 2 to make it 32 and then subtract 2 to make it 30 again. So your final answer is 30, not 34. So Anthony is wrong.

write 2 numbers that multiply to the value on top and add to the value on bottom.​

Answers

Answer:

-11 and -5

Step-by-step explanation:

-11 x -5 = 55, and add to -16

Which best explains why this triangle is or is not a right triangle?

Answers

Answer:

B

Step-by-step explanation:

what is the factor of x2+3x-18?

Answers

Step-by-step explanation:

[tex]x {}^{2} + 3x - 18 \\ = x {}^{2} + (6 - 3)x - 18 \\ = x {}^{2} + 6x - 3x - 18 \\ = x(x + 6) - 3(x + 6) \\ = (x + 6)(x - 3)[/tex]

Thank you ☺️☺️

Of 56 dogs, 34 have spots, 23 have blue eyes, and 11 have neither. How many have both blue eyes and spots?

Answers

I don’t think that’s possible
ooh the answering its so weird

What is the domain of the relation?
Oa. {-1,0, 1, 3)
Oc. { -2,-1, 0, 1, 2, 3}
Ob.{-2, 0, 1,3}
Od. {0, 1, 2, 3}

Answers

Answer:

(03.01) The domain of a relation is the output (y) values of the relation the input (x) values of the relation a set of points that pair input values with output values x and y values written in the form (x, y)

{-2, -1, 0, 1, 2, 3} representing the domain of the relation.

What is a function?

A relation is a function if it has only One y-value for each x-value.

To determine the domain of a relation, we need to identify all possible values for the input or independent variable.

In this case, without any further information, we can look for the set of numbers provided in the answer choices and determine which set includes all possible values for the input.

Looking at the given answer choices:

A. {-1, 0, 1, 3}

B. {-2, 0, 1, 3}

C. {-2, -1, 0, 1, 2, 3}

D. {0, 1, 2, 3}

Since there is no specific information or restrictions mentioned, the most inclusive set that covers all possible values for the input variable is {-2, -1, 0, 1, 2, 3}.

Therefore, {-2, -1, 0, 1, 2, 3}, representing the domain of the relation.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

PLEASE HELP, DUE AT 12:00 am

Answers

Answer:

B

statement a is division property of equality

statement b is symmetry property of congruence

statement c is multiplication property of equality

Solve each equation algebraically. Show all work. #1, #4, and #6

Answers

Answer:

Step-by-step explanation:

A projectile is launched into the air. The function h(t) = –16t2 + 32t + 128 gives the height, h, in feet, of the projectile t seconds after it is launched. After how many seconds will the projectile land back on the ground?
The projectile will land after ______ seconds

Answers

Answer:

t = 4 seconds

Step-by-step explanation:

The height of the projectile after it is launched is given by the function :

[tex]h(t)=-16t^2+32t+128[/tex]

t is time in seconds

We need to find after how many seconds will the projectile land back on the ground. When it land, h(t)=0

So,

[tex]-16t^2+32t+128=0[/tex]

The above is a quadratic equation. It can be solved by the formula as follows :

[tex]t=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, a = -16, b = 32 and c = 128

[tex]t=\dfrac{-32\pm \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=\dfrac{-32+ \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}, \dfrac{-32\- \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=-2\ s\ \text{and}\ 4\ s[/tex]

Neglecting negative value, the projectile will land after 4 seconds.

(3,-7) and (9,-5) slope

Answers

Answer:

1/3

Step-by-step explanation:

which could be the side lengths of a right triangle?

Answers

Answer:

B

Step-by-step explanation:

90+45+45=180

All triangles equal 180.

Its B because if one angle is 90° then the other angles will equal each other. It cant be 60° and 30° because they dont equal, so your final answer is B.

Hope this Helps!!! :)

may be helpful to your discussion.

7. Here's how Mo solved the subtraction problem

635 - 813:

635

- 813

- 222

Mo did this by working from right to left, saying

5 – 3 = 2

3 - 1 = 2

6 - 8 = -2

a. Is Mo's answer right?

b. Solve

6(100) + 3(10) + 5(1)

- [8(100) + 1(10) + 3(1)]

by working with expanded forms. Discuss how

Mo's work compares with your work in expanded

forms.

Answers

Answer:

Mo's answer is wrong.

635 - 813

= -178

Step-by-step explanation:

a. Is Mo's answer right?

No, Mo's answer is incorrect

Mo did this by working from right to left, Just like Subtraction

• 3 - 5 =

We that 1 from the number in tens , add that to 3, making it 13

13 - 5 = 8

• 1 - 3 = 7

The one above becomes 0, because 1 was taken from it. We add 1 to 0, making it 10

10 - 3 = 7

• 8 - 6 = 1

The 8 above reduces to 7 because 1 has been taken from 8.

Hence: 7 - 6 = 1

635 - 813

= -178

The answer is minus 178 because, we are subtracting the bigger number form the smaller number.

b. Solve

6(100) + 3(10) + 5(1)

- [8(100) + 1(10) + 3(1)]

by working with expanded forms. Discuss how Mo's work compares with your work in expanded forms.

= -1(100) + 7(10) + 8(1)

write 9 x 9 x 9 x 9 x 9 x 9 x 9 using a positive exponent

Answers

It’s 9 to the seventh power because the 9 is repeated 7 times!

Answer:

9 to the 7th power

Step-by-step explanation:

Help!!!!!!! i don’t get it !!!!!!!!!!

Answers

Answer:88*8y=6x

Step-by-step explanation:

Maggie's brother is 4 years younger than twice her age. The sum of their ages is 17.
How old is Maggie?

Answers

Answer:

Maggie is 7 years old

Step-by-step explanation:

m+2m-4=17

3m-4=17

3m=21

m=7

Answer:

Maggie is seven years old

Step-by-step explanation:

Maggie's Brothers Age = B

Maggie's Age = M

2M - 4 = B

B + M = 17

Plug in 2M - 4 for B

( 2M - 4 ) + M = 17

Combine Like Terms

3M - 4 = 17

Add 4 to either side

3M = 21

Divide either side by 3

M = 7

Check your answer

2M - 4 = B -> 2 x 7 - 4 = B -> 14 -4 = B -> B = 10

B + M = 17 => 7 + 10 = 17 => 17 = 17

Marietta was given a raise of $0.50 per hour, which gave her a new wage of $18.75 per
hour. Enter and solve an equation to determine Marietta's hourly wage, x, before the raise.
Complete the explanation to show that your answer is reasonable.
The equation is
= 18.75.
Marietta's hourly wage before the raise was $
Marietta received a raise that was less than $1.00 per hour, so her new hourly wage should
be less than $ (select) + $1 = $19.25. Her new hourly wage of $18.75 is less than $19.25,
so the answer is reasonable.

Answers

Answer:

11.50

Step-by-step explanation:

The new wage is equal to the old wage plus her raise, so:

x + 0.75 = 12.25

or

x= 12.25-0.75

Meaning x is her original wage, being $11.50

(This is my first answer so let me know if I did anything wrong)

What is (n+8) + (n-12)

Answers

Answer:

n = 2

Step-by-step explanation:

Simplifying

(n + 8) + (n + -12) = 0

Reorder the terms:

(8 + n) + (n + -12) = 0

Remove parenthesis around (8 + n)

8 + n + (n + -12) = 0

Reorder the terms:

8 + n + (-12 + n) = 0

Remove parenthesis around (-12 + n)

8 + n + -12 + n = 0

Reorder the terms:

8 + -12 + n + n = 0

Combine like terms: 8 + -12 = -4

-4 + n + n = 0

Combine like terms: n + n = 2n

-4 + 2n = 0

Solving

-4 + 2n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 2n = 0 + 4

Combine like terms: -4 + 4 = 0

0 + 2n = 0 + 4

2n = 0 + 4

Combine like terms: 0 + 4 = 4

2n = 4

Divide each side by '2'.

n = 2

Simplifying

n = 2

I WILL GIVE BRAiNLIEST TO FIRST PERSON WHO ANSWERS

Answers

Answer: 6 and 5

Step-by-step explanation:

Answer:

I will give you brainliest if you give me.    :)

Step-by-step explanation:

Walking at a speed of 3 mph, Jack gets to school in 10 minutes and arrives at school right before the class starts. Today Jack needs to be at school 4 minutes earlier. How fast does Jack need to run this morning?

Answers

Answer:

Jack needs to run at a speed of 1/12 mph

Step-by-step explanation:

Mathematically;

speed = distance/ time

Distance = speed * time

10 minutes = 10/60 h = 1/6 hours

The distance to the school will be

Distance = 3 * 1/6 = 1/2 = 0.5 miles

Now, he needs to be at school 4 minutes earlier, time will now be 10 - 4 = 6 minutes

To get the speed here;

Recall that the distance from above does not change

So speed = 0.5/6 mph 0r 1/12 mph

$3.50 per pound for potato salad OR 1.5 pounds of potato salad for $4.50

Answers

Answer:

1.5 pounds of potato salad for 4.50 would be cheaper

Step-by-step explanation:

because if you divide 3.50 by two you get 1.75 and added back to 3.50 you can purchase 1.5 pounds for 5.25 which is more expensive than 4.50

Please help!!! I need the correct answer. Thx!

Answers

Answer:

I think the answer is A if my math is wriye

Step-by-step explanation:

the answer to this question is A if i’m correct
Other Questions
(2^3)^2 -(10-6)^4 x 4^-6 which is an equation for the line shown? Is b = 7 a solution to the inequality below? 13 > 7 + b I need help!! 13 points A moving car backs into a parked car in a parking lot. Why would the bumpers on both cars be dented? why might the military in 1914 try and discourage aborginal canadias from joining the war WHAT ROLE DOES INDIVIDUALISM PLAY IN AMERICA SOCIETY? Read the excerpt from "Gawayne."Now the giant cried aloud: "Yield or fight, King Arthur; which will you do? If you fight I shall conquer you, for you have no power to resist me; you will be my prisoner, with no hope of ransom, will lose your land and spend your life in my dungeon with many other brave knights. If you yield I will hold you to ransom, but you must swear to accept the terms I shall offer."What do the giant's words reveal about him? Q1.) Industrialization was the time when world economy was evolving and flourishing. How do you think it contributed to make World War I one the deadliest wars in the world history? What was the role of industrialists? Q2.) World war I started when Archduke Ferdinand was shot, but Historians tell us that the war was being prepared since a long time. Can you explain the factors that were already there which triggered the war? Q3.) nationalism is considered as a very important feeling for country to prosper. Has it been such a positive feeling, how do you think it became one of the underlying reasons for world war i? The following balance sheet for the Los Gatos Corporation was prepared by a recently hired accountant. In reviewing the statement you notice several errors. LOS GATOS CORPORATION Balance Sheet At December 31, 2018Assets Cash $ 74,000 Accounts receivable 131,000 Inventories 72,000 Machinery (net) 137,000 Franchise (net) 47,000 Total assets $ 461,000 Liabilities and Shareholders Equity Accounts payable $ 84,000 Allowance for uncollectible accounts22,000 Note payable 89,000 Bonds payable 127,000 Shareholders equity 139,000 Total liabilities and shareholders equity $ 461,000 Additional information:Cash includes a $37,000 restricted amount to be used for repayment of the bonds payable in 2022.The cost of the machinery is $224,000.Accounts receivable includes a $37,000 note receivable from a customer due in 2021.The note payable includes accrued interest of $22,000. Principal and interest are both due on February 1, 2019.The company began operations in 2013. Income less dividends since inception of the company totals $52,000.67,000 shares of no par common stock were issued in 2013. 100,000 shares are authorized.Required:Prepare a corrected, classified balance sheet. (Amounts to be deducted should be indicated by a minus sign.) Simplify348.94-188.34 A misture contains undissolved particles that are mixed evenlythroughout a liquid. what do you call this mixture?C. pure substanceD. suspensionA colodB. solution the equation for x: 3(x - 4) = 3x + 2 * How did the HERA themes contribute to the development of China? is found in a humid subtropical climate region of the United States.please help Can anyone help me how to do this? I NEED HELP PLEASE!!! How do you do this question? 4. Why would the Founding Fathers place the Preamble at the front of the Constitution?ABecause it lists all the goals of the new government laid down in the ConstitutionB.It established the power of the military over the civilian government.It lists all the failures of the Articles of Confederation, the previous plan of governmentDIt describes the powers of the President in the American Revolution What was the impact of these activities after the war?