What value of x makes the equation, -3 + 4x + 3(4x + 8)=4(7x + 3)-3 true?

Answers

Answer 1

Answer:

x = 1

Step-by-step explanation:

-3 + 4x + 3(4x + 8) = 4(7x + 3) - 3

first, solve the brackets by using the distributive property of multiplication:

3(4x + 8) = 12x + 24

4(7x + 3) = 28x + 12

rewrite equation:

-3 + 4x + 12x + 24 = 28x + 12 - 3

combine like terms:

16x + 21 = 28x + 9

subytact 21 on both sides:

16x + 21 - 21 = 28x + 9 - 21

16x = 28x - 12

subtract 28x on both sides:

16x - 28x = 28x - 28x - 12

-12x = -12

divide both sides by 12

[tex]\frac{-12x}{12} = \frac{12}{12}[/tex]

x = 1

to check, substitute 1 for x:

-3 + 4(1) + 3(4(1) + 8) = 4(7(1) + 3) - 3

-3 + 4 + 12 + 24 = 28 + 12 - 3

37 = 37


Related Questions

6(10 - w) when w = 7
Show your work

Answers

Answer:

18

Step-by-step explanation:

you always do the parenthesis first

10-7=3

6x3=18

Please answer the question above.

Answers

Answer:

∠2 = 80°

Step-by-step explanation:

∠1 and ∠2 are supplementary angles (their sum is 180°)

PLSS HELP ME ASAP I WILL EVEN GIVE U BRAINLYEST BUT PLAA HELP ME!!

Is the probability of red a simple event, complement of a
simple event, or neither?
A. complement of a simple event
B. nelther
C. simple event

Answers

Answer:

Complement of an Event: All outcomes that are NOT the event. So the Complement of an event is all the other outcomes (not the ones we want). And together the Event and its Complement make all possible outcomes.

triangle PQR with side p across from angle P, side q across from angle Q, and side r across from angle R


HELP PLEASE I COULDN'T FIND THE ANSWER ANYWHERE

If ∠R measures 18°, q equals 9.5, and p equals 6.0, then which length can be found using the Law of Cosines?


1. p

2. q

3. RQ

4. PQ

Answers

Answer: 1 P
I hope this helps

Answer:

P

Step-by-step explanation:

which of the following statements describe the system ?​

Answers

Answer:

one solution

Step-by-step explanation:

here, we want to select the correct option

From the system, we have two values of y

Equating the y-values

3x + 2 = -2x - 1

What this mean is that there is only a particular point where this solution will work and as such, the system has one solution

4. Write the ratio for cos M.

cos M = 24/25
cos M = 12/25
cos M = 24/7
cos M = 25/24

Answers

Answer:

24/25

Step-by-step explanation:

Hello There

[tex]cos = \frac{adjacent}{hypotenuse} [/tex]

The adjacent of M is 24 and the hypotenuse is 25 so

[tex]cosm = \frac{24}{25} [/tex]

Answer:

cos M= base/hypotenuse=KM/LM=24/25

Help! I just need someone to check if this answer is indeed correct, I believe it is, but I just would prefer having a second opinion!

Answers

Answer:

Step-by-step explanation:

Yes

I NEED HELP ASAP BEFORE MARCH 26th
Find the Value of X

Answers

Answer:

45

Step-by-step explanation:

90+45=135 180-135 is 45

hii please help i’ll give brainliest!!

Answers

Answer:

D

Step-by-step explanation:

When you hit your brakes hard it will move then stop immeaditly. But when you barley push the brakes it come to a steady stop.

It’s the second one

The diameter of a sphere with a volume of 121.5 cubic mm is ___ mm.

Answers

Answer:

Diameter= 6.15

Step-by-step explanation:

Like the radius explanation but multiply the answer by 2.

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

I am pretty sure it is The third answer choice X < 8
It’s the first answer choice

Please helppp
a. what's the domain of c

Answers

Answer:

5

Step-by-step explanation:

please help quick add egbtfdghy

Answers

Answer:

The second option is correct.

Step-by-step explanation:

If x = 5, then this happens.

1(5) - 2 < 3

5 - 2 < 3

3 < 3

That is incorrect because 3 = 3.

The second option is correct, because:

4 - 2 < 3

2 < 3

This work so the second option is correct

suppose that 12 dimes and nickels are worth 95 cents. how many dimes and nickels are there? use systems of equations to solve.

Answers

Answer:

7 dimes and 5 nickles

Step-by-step explanation:

7 times 10 equals 70 5 times 5 equals 25. 70 plus 25 equals 95

pls help with this problem

Answers

Answer:

2

Step-by-step explanation:

Isolate the variable:

6x - 5 = 7

     +5   +5

6x = 12

/6     /6

x = 2

Check our work:

6(2) - 5 =7

12 - 5 = 7

7 = 7

Correct!

‼️YALL I NEED HELP PLEASE HELP DUE IN 20 MINUTES ‼️

Answers

The line (in Standard Format, Ax+By=C) is 3x+6y=-17 [note: Convention is that x-coefficient is positive].
The slope of this line is (-A/B)=(-3/6)=-1/2.

All perpendicular lines have a negative reciprocal slope: 2
The equation of the perpendicular line is: 6x - 3y = D
[switch A and B and make negative; and we need point (6,3) to determine D]
6(6)-3(3)=D
36 - 9 = D
27 = D

The perpendicular line is:
6x - 3y = 27
or 2x - y - 9

Please help ASAP I’m really confused please help!!!

Answers

Answer:

top right pls give brainliest

Step-by-step explanation:

Pythagorean Theorem Word Problems Mazel​

Answers

Is there supposed to be a picture here?? There isn’t.

HELP IM LITTTEAKAY BEGGING YALL

Answers

Answer:

The model shows a total of 2 wholes, 13 tenths and 6 hundreths. After regrouping 10 tenths into 1 whole there are 3 wholes, 3 tenths, and 6 hundredths. Therefore the sum of the numbers is 3.36

Step-by-step explanation:

help please ill give brainliest

Answers

I think maybe 150 because when you add them all up you only get 620 so you would need 30 more so I just added 30 to 120 and got 150

A river 3m deep and 40 m wide is flowing at the rate 2km /h . how much water will fall into the sea in a minute.​

Answers

Answer:

Area of river = depth × width

=3×40

[tex] = 120 {m}^{2} [/tex]

amount of water that falls into the sea ⇒

Area of river × flow rate

[tex]120 {m}^{2} \times 2 \: \frac{km}{hr} [/tex]

[tex]120 \times \frac{2 \times 1000 {m}^{2} }{(60)min} [/tex]

[tex]4000 \: \frac{ {m}^{3} }{min} [/tex]

:. [tex] {4000m}^{3} [/tex] of water falls into the sea per min.

So, [tex] {4000m}^{3} [/tex]

= 4000 × 1000 litres

= 4000000 litres

So, in 1 minute, water will fall into the sea is 4000000 litres.

Step-by-step explanation:

Hope it is helpful....

what is the 3rd root of -125

Answers

Answer:

-5

Step-by-step explanation:

-5


dkfnfjdksknfmdmcnc

Please help me out! (Find the measurements of the following angles. Fill in the blanks with your answer. Your answer should be numerical)

Answers

Answer in the file below

Which best describes the probability of the rolling a 7 on a number cube that is numbered from 1 through 6

Answers

Answer:

[tex]\huge\boxed{\text{Impossible}}[/tex]

Step-by-step explanation:

To find the probability of something happening, we find all the outcomes that can happen, find all the outcomes in which our criteria is met, and set that up as a fraction, where it's criteria met/total possible outcomes.

When we roll a 6-sided die, we will have 6 possible outcomes that we can roll.

1, 2, 3, 4, 5, and 6.

We can not roll anything except these 6! Since a die only has 6 sides, numbered 1-6, we will only roll these numbers.

7 is not in this list! It is impossible to roll a 7 on a die that only has 6 sides. Since 7 isn't even possible, it would be impossible to get a 7 on a 6-sided die.

Hope this helped!

He wants to wrap the present. How much wrapping paper does he need if it’s 1:00 in the afternoon and he wants to give it to her at 5:00pm?

Answers

How much wrapping paper does he have

uh yeahhhhhhhhh you see it​

Answers

Answer:

1296

Step-by-step explanation:

Answer:

what they said. jk i actually don't know if they're correct

Step-by-step explanation:

Please help me I beg. :)​

Answers

Answer:

A and D are correct

Answer:

A and D

Step-by-step explanation:

Basically, having in mind that the earth is a sphere and the sunlights have the same length, the poles are more distant from the sunlights than the lower parts.

the perimeter of a rectangle is at least 74 cm the length of a rectangle is two more than four times the width of a rectangle what are the minimum dimensions of the rectangle​

Answers

Answer:

2W+2L=perimeter=74

Step-by-step explanation:

2W=74-2L

2(2W)+2(L/2)=76

substitute 74 - 2L for 2W in the last equation to solve for L. Put that value in the first equation to find W. Check by putting both values into the last equation.

Need help fast for 1 2 3 and 4 for please and thank you

Answers

The formula for the area of a circle is [tex]\pi r^2[/tex]

So if we have the first one...[tex]3.14*5^{2}[/tex]≈78.5

Now you can solve the other ones with this formula! Good luck!

Five students bought supplies. Three students each bought 3 pencils and an eraser. Two students each bought a pen and 2 pencils. Supply Cost pencil $0.16 eraser $0.56 pen $0.45 Select the equation that can be used to find the total cost (c) of the supplies. Mark all that apply.

Answers

Answer:

(5×0.16)+ (1× 0.56) +(1 ×0.45)

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