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Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x + 4 (x - 1) = 2 + 4x
(b) 25 - x = 15 - (3x + 10)
(c) 4x = 2x + 2x + 5 (x - x)

Answers

Answer 1

Answer:

Step-by-step explanation:

(a) 2x + 4 (x - 1) = 2 + 4x

 2x +4x - 4 = 2 + 4x

 6x -4 = 2 + 4x

 2x = 6

   x = 3  One solution

(b) 25 - x = 15 - (3x + 10)

 25 - x = 15 - 3x - 10

2x = 15 - 25 - 10

2x = -20

 x = -10  One solution

(c) 4x = 2x + 2x + 5 (x - x)

 4x = 4x + 5x - 5x

  0 = 0

No solutions


Related Questions

You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?​

Answers

Answer:  1/6

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

Explanation:

Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.

PLS HELP ME IMMA CRY ONGG GGHGHJH

Answers

Answer:

127

Step-by-step explanation:

We started at 7

We keep going up 3

multiply

[tex]3\cdot40=120[/tex] Now add [tex]120+7=127[/tex] at the 40th term

Answer:

I believe its 127?

Step-by-step explanation:

I solved this by 7+3x40 and that was my answer.

Please tell me if its wrong, if so tell me what the correct one is. :)

Have a good day!

PLEASE HELP ME ASAP
NO LINKS

Answers

Step-by-step explanation:

1)

x⁴×x^a = x¹²

you know that you can add the exponents when multiplying terms with the same base value/variable ?

because that is what we are doing here to solve it :

x^(4 + a) = x¹²

therefore,

4 + a = 12

a = 8

2)

y^b / y⁵ = y²

similar to 1), but when we divide, we subtract the exponents.

y^(b - 5) = y²

b - 5 = 2

b = 7

3)

3^c = 1/27

27 = 3³

27×3^c = 1

3³×3^c = 1

3^(3 + c) = 1

now we need to remember : x⁰ = 1.

therefore, 3⁰ = 1

3^(3 + c) = 3⁰

3 + c = 0

c = -3

4)

(m³)² = m^d

aha !

now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.

m^(3×2) = m^d

3×2 = d

6 = d

5)

7⁰ = e

remember, x⁰ = 1, so also 7⁰ = 1.

therefore, e = 1.

6)

4^-2 × 4⁹ × 4^‐5 = 4^f

so, now we need apply what we just learned to a sequence of operations :

each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :

4^(-2 + 9 - 5) = 4^f

therefore,

f = -2 + 9 - 5 = 2

Answer:

just here 4 points

Step-by-step explanation:

What is the slope for this table?

Answers

Do u have a graph?
Sheeeeeeeeeeeeeeeeeeeeeeeesh

ayo help me please im dying of math
Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3

Answers

Step-by-step explanation:

relax ! don't panic. just breathe deeply and then focus again.

a geometric sequence means that every new term is created by multiplying the previous term by a constant factor.

this factor is given here as 3/2.

this is called common ratio, because of that building rule the ratio of 2 consecutive terms is

an/an-1 = factor = 3/2

the first term is 3.

so,

a1 = 3

a2 = a1×3/2 = 3×3/2 = 9/2

a3 = a2×3/2 = a1×3/2 × 3/2 = 3× 3/2 × 3/2 = 27/4

we see

an = an-1 × 3/2 = a1 × (3/2)^(n-1) = 3 × (3/2)^(n-1)

and therefore

a8 = 3 × (3/2)⁷ = 3× 2187/128 = 6561/128 = 51.2578125

|2x + 6| = 16
plsss helppp

Answers

Answer:

x = 5

Step-by-step explanation:

|2x + 6| = 16

=> 2x + 6 = 16

=> 2x = 16 - 6

=> 2x = 10

=> x = 5

Hoped this helped.

X=5
2x +6 = 16
-6 -6
2x = 10
/2 /2
X=5

8 × (4^2 + 2) please help

Answers

Answer:

144

Step-by-step explanation:

Using the process PEMDAS I got 144

8 × (4^2 + 2)

First, you solve inside the parentheses, the exponent is the beginning step.

8 x(16+2)

The next step of this equation is adding, which gives us the sum of 18.

8 x 18

Our last step is multiplication.

144 is our product/answer.

grace read 4 days a this week. She reads 10 minutes each day. if her teacher wants her to read a total of 60 minutes, how many more minutes does grace need to still read?

Answers

Answer: 20 more minutes

Step-by-step explanation:

Grace has already read 40 minutes due to her reading 4 times a week and 10 minutes each time(4x10=40). She has 20 more minutes to read as there as 60 minutes in a hour  

Grace needs 20 minutes more to read.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Grace read 4 days a this week.

In one day she read= 10 minutes

So, in 4 days she read = 4 x 10

                                     = 40 minutes.

So, total time taken = 60 minutes.

Thus, she needs to read (60 - 40) = 20 minutes.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ5

parallel perpendicular or neither

Answers

Well I guess it should be perpendicular

I need help quickly

Answers

the answer is 6 (x- 5)= 36

A customer in a coffee shop purchases a blend of two coffees: Kenyan, costing $3.50 a pound, and Sri Lankan, costing $5.60 a pound. He buys 3 lb of the blend, which costs him $11.55. How many pounds of each kind went into the mixture

Answers

Answer:

10.55.

Step-by-step explanation:

no

Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)

Step by Step please​

Answers

Answer:

35.113 km per hour is the correct answer

c) 2 x x 3 x y


Please help

Answers

The answer to your problem is 6x^2y

Solve the slope for the table.

Answers

Answer:

Slope = -1

Step-by-step explanation:

7-9/-1+3=-2/2=-1 : Slope Formula

The Stock Market Nadia is a stockbroker. She earns 13% commission each week. Last week, she sold $5,300 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?

Answers

Answer:

34

Step-by-step explanation:

Actually the answer is 7560.Because 3 1/2 X 2x4 X 4, 4 1/2 X x5 X 1=7560

Answers

Answer:

k

Step-by-step explanation:

What is the equation for the line in slope-intercept form?

Answers

y=-2x-4 is the answer:)

The sizes of the angles in degrees of e triangles are.

2x+7
2x
X+18
Use this information to write down an equation in terms of x

Answers

(2x + 7) + (2x) + (x + 18) = 180

5x + 25 = 180

5x = 155

x = 31 °

"the product of negative three and x"​

Answers

-3x

That’s pretty much it

3g + h = 1
-2g + h= 10
?​

Answers

Answer:

{g,h} = {-9/5,32/5}

Step-by-step explanation:

h = 2g + 10

3g + (2g+10) = 1

[1]    5g = -9

5g = - 9  

g = - 9/5

g = -9/

h = 2g+10

h = 2(-9/5)+10 = 32/5

{g,h} = {-9/5,32/5}

BRAINLIEST FOR CORRECT ANSWER NEEDS HELP ASAP
At Chrissy's Clothes Warehouse, it takes fraction 2 over 5 of a day to complete fraction 1 over 10 of an order of t-shirts. At this rate, how long will it take to complete the entire order of t-shirts?
4 days
Mixed number 10 and 2 over 5 days
Mixed numbers 12 and 1 over
2 days
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Step-by-step explanation:

Find the value of x

A. 30
B. 40
C. 50
D. 60​

Answers

Answer:

B. 40

Step-by-step explanation:

We can make this an equation since the entire thing equals 360

3x+110+90+40=360

3x=120

x=40

Answer is B

Brainliest please :)

10. The ordered pairs (1, 2), (2, 8), (3, 18), and (4, 32) represent a function. What is a rule that represents this function? Show your work for full credit!

a.2x
b.2x+2
c.x^2
d.2x^2

Answers

Answer:

B 2x+2 I don't know whether is correct or not

Professor Baird wants to mix a solution
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Answers

Answer:

The answer is 12 ounces :)

Step-by-step explanation:

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Answers

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Step-by-step explanation: your welcome

The product of six minus a number and five equals 60÷2 which equation relates the sentence

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Step-by-step explanation:

You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?

Answers

Answer:

Yes

Step-by-step explanation:

20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so  that gives you 84 % . So you scored %84.

Good job

Can someone please help me with this?

Answers

Step-by-step explanation:

4a - 5b = 7

substract 4a from both sides

4a - 5b - 4a = 7 - 4a

positive 4a with negative 4a

5b = 7 - 4a

devide both sides by 5

[tex] \frac{5b}{5} = \frac{7 - 4a}{5} [/tex]

[tex]b = \frac{7 - 4a}{5} [/tex]

Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.

Answers

Answer:

x=(m)(7)(6) or x=m*7*6

Step-by-step explanation:

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