How many solutions does the following equation have?
7(y + 3) = 5y +8
Choose 1 answer:
A
No solutions
B
Exactly one solution
Infinitely many solutions

Answers

Answer 1
Answer:
Exactly one solution

Explanation:
The first step we need to take to find the answer is to find the value of y.

7(y+3)=5y+8
Expand the parentheses
7y+21=5y+8
Subtract both sides by 21
7y+21-21=5y+8-21
7y=5y-13
Subtract both sides by 5y
7y-5y=5y-13-5y
2y=-13
Divide both sides by 2
2y/2=-13/2
y=-6.5

Now, we plug y back into the original equation.

7(y+3)=5y+8
7(-6.5+3)=5(-6.5)+8
Expand the parentheses
-45.5+21=-32.5+8
-24.5=-24.5

Because both sides of the equation is equal and the equation is true, we can conclude that the equation has one solution.

I hope this helps!

Related Questions

NEED HELP ASAP!!!! please! 25 points!

Answers

Answer: 2-4= -2

Step-by-step explanation: hope it helps

Answer: (0 + 2) + ( 2 - 4)

Step-by-step explanation:

Square root -80 by using imaginary unit I

Answers

you already got the answer but if you ever need the answer instantly for any math question use mathaway its a really good app and will gove you the answer and step by step explanation

An artist will use isometric transformations of square LMNO to create a symmetrical design with contrasting colors.


Which statement is true?

If LMNO is reflected over the y-axis, the small center square in the image will have a lesser area.
It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a lesser area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a greater area.

Answers

Answer:

The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.

Step-by-step explanation:

The other answers state that the canter square will change size when reflection doesn't do that. Reflection keeps the size and shape of the object. It only changes the positioning.

I hope this helps. Brainliest would be nice to.

Answer:

The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.

Step-by-step explanation:

Plsss help mee :,) ill give brainlist

Answers

Answer:

3/5, 1, 8/5, 8

Step-by-step explanation:

Answer:

0, 35, 8/5, 8.  I think

Step-by-step explanation:

hope this helps :3

im sorry if im wrong

HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)

Answers

Answer:

A

Step-by-step explanation:

shenika is inviting 7 friends to a party. if each friend will get 5 cookies and each box has 12 cookies. how many boxes does shenika need to get

Answers

Answer:

Shenika invites 7 friends and each one gets 5 cookies.

= 7*5

= 35

Based on above answer, Shenika will need a total of 35 cookies for all.

-----------------------------------------------------------------------------------------------------------

Each box has 12 cookies.

Total cookies = 35

Let the number of boxes be x.

12*x = 35

x = 35/12

x = 2.9

This means she would need 3 boxes.

Struggling with this problem need help badly

Answers

Answer:

Step-by-step explanation:

In the statement 10 + 0 = 0 + 10 how would you describe the zero (0)?​

Answers

the additive property of zero states that when you have any number and add zero to it, your answer will always equal the original number

30 points!!
Find the missing term to make each statement true
1. 18e + __ = 12e
2. __ - (-21x) = 21x
3. 90z + __ = 80z

Answers

Answer:

1. 18e + (-6e) = 12e

2. 0x - (-21x) = 21x

3. 90z + (-10z) = 80z

1. 18e + (-6e) = 12e

2. 0x - (-21x) = 21x

3. 90z + (-10z) = 80z

first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3

Answers

Answer:

y-y1 = m(x-x1)

y - 2 = 3(x-1)

y=3x-3+2

y=3x-1

Step-by-step explanation:

first you type down point slope formula

then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope

then you have to distribute the 3 to the x and the -1 and then isolate y

(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other

then you combine like terms 3x is alone and -3 +2 equals -1

there is your answer hope that works.

Find the inverse of the linear function.

anyone pls?

Answers

Answer:

A

Step-by-step explanation:

inverse means flipping the signs and the numbers of the function

Answer: x - 10/5 = y

help me its an algebra 2 question 2. John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
A. 1 hour 12 minutes
B. 1 hour 15 minutes
C. 1 hour 20 minutes
D. 1 hour 30 minutes
E. 1 hour 35 minutes

Answers

Answer:

A

Step-by-step explanation:

John can mow the same lawn in 3 hours.

In 1 hour he can mow 1/3rd of the lawn.

In 1 hour they can together mow (1/2+1/3)=5/6th of the lawn.

Together they can mow the lawn in 6/5 hours=1.2 hours.

I hope this helped, please mark Brainliest, thank you!!

Time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

The correct option is (C).

What is a algebra ?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

John can mow his lawn in 3 hours.

Julie can mow same lawn in 2 hours.

In 1 hour = 1/3rd of the lawn.

In 1 hour, together they can mow

= (1/2+1/3)

=5/6th of the lawn.

Hence, time taken to mow the lawn together is 6/5 hours i.e., 1.2 hours.

Learn more about Algebra here:

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(EASY) I WILL MARK THE BRAINLYEST !!!

so, these problems are currently my last two problems. There were two rude people that answered them and didn't actually give me an answer and responded with "no". Can you guys please help me? These are the only two questions giving me problems at the moment. Thank you for taking the time to help me.

1) |5x+5|+22>57

solve for both absolute values
( it would help if you could include how to graph it on a number line as well as the interbal notation )


2) I= prt
solve for I

Answers

Answer:

-8>x>6

Step-by-step explanation:

I 5x+5I +22> 57subtract 22 on both sides

I5x+5I >35

                                    SPLIT

5x+5>35                                              5x+5< -35 ( flip sign and 35 negative)

5x>30                                                   5x< -40

x>6                                                         x< -8

  Draw a number line Write  zero in the middle

From zero count  to the  left until- 8  make an open circle because- 8  is not included  From -8 draw  an arrow to the left (because x  is less than -8)  

From zero  count to the right until  6  Make an open circle bc 6     is not included.  From 6 draw an arrow to the right   (because x is more than 6)

PART 2 is not already solved?  

If you need to solve fot t

Divide both parts by pr

t= (l/ pr)                                      

A prime number is an integer greater than 1 with exactly two different positive factors, 1 and the number itself. There are three children in a family. Each of their ages is a prime number. The sum of their ages is 41 and at least two of the children have ages that differ by 16. Determine all possibilities for the ages of the children.

Answers

Answer:

Hence,

a=19,b=19,c=3

a=11,b=7,c=23

Step-by-step explanation:

[tex]Let\ their\ ages\ be\ a,b\ and\ c\ respectively, where\ a,b,c\ are\ primes\\Hence,\\a+b+c=41\\b-c=16\\Listing\ out\ all\ the\ primes\ from\ 0\ to\ 41\ we\ get:\\2,3,5,7,11,13,17,19,23,29,31,37,\\Hence,\\Lets\ seperate\ out\ the\ primes\ who\ differ\ by\ 16 :\\3\ and\ 19, 7\ and\ 23\ ,[/tex]

Hence,

[tex]Lets\ consider\ this\ set\ as\ b,c:\\Hence,\\To\ find\ a \\a=41-(b+c)\\Hence, By\ doing\ this\ indiviually\ we\ get:\\[/tex]

[tex]a=41-(19+3)\\a=41-22\\a=19\\Hence, a=19,b=19,c=3[/tex]

[tex]a=41-(23+7)\\a=41-30\\a=11\\Hence, a=11,b=7,c=23[/tex]

A submarine is at a depth of 100 feet below sea level. Then it starts to dive at a rate of 50 feet per minute. What is the slope?​ I will give brainliest and help you ☻

Answers

Answer:

Independent variable: Time in minutes

Dependent variable: The elevation in feet

Slope: -50

Y-Intercept: -100

Step-by-step explanation:

Just did the assignment

Which number can fill in the blank below?



4.3 < _________ < 4.5



A.440%

B.44%

C.4.4×10^1

D.4.4%

Answers

Answer:

A

Step-by-step explanation:

440 percent is the same thing as 4.4

The cost to manufacture calculators is represented by the function (). The correct explanation of the statement (17)=225 is:

225 calculators cost $17


3,825 calculators cost $225


17 calculators cost $13.24


17 calculators cost $225

Answers

Answer:

225 Calculators cost $17

Step-by-step explanation:

Since the Function () is Representing the cost, it is logical 17 dollars is the cost, and the 225 is the number of calculators.

Which shows the following numbers ordered from greatest to least?
0.5, 5/8, 65%, 3/5

A. 3/5, 5/8, 0.5, 65%
B. 0.5, 3/5, 5/8, 65%
C. 65%, 3/5, 0.5, 5/8
D. 65%, 5/8, 3/5, 0.5

I assume it's D, but I'm not fully sure.​

Answers

Answer:

D You got it right. 65% 5/8 3/5 0.5

Use inverse operations to solve: x + 3.2 = 7

Answers

Answer:

x=3.8

Step-by-step explanation:

You would use the inverse operation by subtracting 3.2 from both sides of the equation, leaving you with x=3.8

The sum of two numbers is 100, The difference between the two numbers is 95
workout the two numbers

Answers

Answer:

Let the numbers be x and y

x+y=100

x-y=95

taking x-y=95

x=95+y

x+y=100

95 + y +y = 100

2y=100-95

y=5/2

y=2.5

x=95+y

x=95+2.5

x= 97.5

Hope it helps...............

The two numbers are 97.5 and 2.5.

What is Addition and Subtraction?

Subtraction is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Let x and y be the two numbers.

The sum is 100 and the difference is 95.

x + y = 100 ⇒ x = 100 - y

x - y = 95

Substituting x = 100 - y in the second equation,

100 - y - y = 95

100 - 2y = 95

2y = 100 - 95

2y = 5

y = 5/2 = 2.5

x = 100 - y = 100 - 2.5 = 97.5

Hence the numbers are 97.5 and 2.5.

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51×59 evaluate and answer​

Answers

51 multiply by 59 is 3009
51 multiply by 59 and evaluate and you should get 3,009 plz mark brainliest


What is the decimal equivalent of
7/8
?
A. 0.780
B. 0.870
C. 0.875
D. 0.885

Answers

7/8 is equal to 0.875. Have a good day!

Round -5 1/2 to the nearest whole number

Answers

Answer:

dear explain your question briefly

Step-by-step explanation:

We will try to explain you

The round off -5 1/2 to whole number is -6.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Fraction: -5 1/2

Now, converting it to the decimal

= -11/2

= -5.5

now, rounding off to whole -5.5 will lie between -5 and -6.

Hence, the whole number round off for - 1/2 is -6.

Learn more about Fraction here:

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16) tan Ø
7C
6
Y
3
A)
B) -2
3
C)
داد
D)1
2

Answers

Answer:

:O

Step-by-step explanation:

This​ week, 957 people went to the beach. Last​ week, 1,207 people went to the beach. The number of people who went to the beach fell by what​ percent? Use pencil and paper. Explain how you know whether the answer is greater than or less than​ 25%

Answers

Answer:

Less than 25%

Step-by-step explanation:

1. Find the difference of the two numbers: 1,207 - 957 = 250

decrease = original number - new number

2. Then, divide the decrease by the original number

250/1,207 = 0.207

3. Multiply the answer by 100 to get the percentage

0.207 x 100 = 20.7%

Therefore, the number of people fell by 20.7%

Hence, the answer is less than 25%

Step-by-step explanation:

What is the image of (-3,9) after a reflection over the y = x?

Answers

Answer:

(9,-3)

Step-by-step explanation:

6x + 21y = 103
-6x + 23y = 51

Answers

Hope that helps you :))


PLZZZZ HELPPPP THIS IS A TIMED TESTTT!!

DEFG has been dilated to D’E’F’G’. Use a pair of corresponding sides to determine the scale factor.

Answers

Answer:

2/3

Step-by-step explanation:

DEFG ~ D'E'F'G'

[tex]\frac{D'G'}{DG}[/tex] = [tex]\frac{2}{3}[/tex]

evaluate 68 x 71 mentally.

Answers

Answer:

4828 = 68 x 71

Step-by-step explanation:

how I looking at it all I did was multiply

Answer:

4828

Step-by-step explanation:

68x71=4828

A group of people planned to go to the amusement
park. Adult tickets are $45.00 and child tickets are $20.
There are two adults in the group. If the budget for the
trip is $600, what is the greatest number of children
that can attend.

Answers

Answer:the greatest amount of children that can go is 30

Step-by-step explanation:

$20 x 30= $600

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