4x + 4(3 - 2×) = 2(4x + 2)/4 + 5
Solve this equation

Answers

Answer 1

Answer:

x=1

Step-by-step explanation:

Factor out the common term 22.

4x+4(3-2x)=2\times \frac{2(2x+1)}{4}+5

4x+4(3−2x)=2×  

4

2(2x+1)

​   +5

2 Simplify  2\times \frac{2(2x+1)}{4}2×  

4

2(2x+1)

​   to  2x+12x+1.

4x+4(3-2x)=2x+1+5

Simplify  2x+1+5 to  2x+6.

4x+4(3-2x)=2x+6

Expand.

4x+12-8x=2x+6

Simplify  4x+12-8x  to  -4x+12.

-4x+12=2x+6

Add 4x to both sides.

12=2x+6+4x

Simplify  2x+6+4x  to  6x+6.

12=6x+6

Subtract 6 from both sides.

12-6=6x

Simplify 12−6  to  6.

6=6x

Divide both sides by 6

1=x

Switch sides.

x=1


Related Questions

In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standard deviation of 4 minutes. The slowest quarter of customers will require longer than how many minutes (to the nearest tenth) for a simple haircut?

Answers

Answer:

Longer than 27.7 minutes.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 25, \sigma = 4[/tex]

The slowest quarter of customers will require longer than how many minutes (to the nearest tenth) for a simple haircut?

Longer than the 100 - 25 = 75th percentile of times, which is X when Z has a pvalue of 0.75. So X when Z = 0.675. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 25}{4}[/tex]

[tex]X - 25 = 4*0.675[/tex]

[tex]X = 27.7[/tex]

So

Longer than 27.7 minutes.

Dante has been putting one penny in his bank every day. Now he has 161 pennies. For how many weeks has Dante been adding pennies to his bank?

Answers

Answer:

23 weeks because the penny is 161 and u dividing 161 by 7 because 1week hace 7 days and calculate 161÷7=23

the answer is 23 week

(6x2-5x-26) divided by (x-3)

Answers

Answer:

Put it In gogle she will solve it !!

Step-by-step explanation:

Pls help I need a good grade

Answers

Answer:

y=4/7x

Step-by-step explanation:

Graph the point (4,7) and (0,0) because x is pint and y is servings

The equation is y=4/7 x because the slope is 4/7 and it starts at the origin.

Simplify -6(a +8) can someone help me with that with the steps included

Answers

Answer:

−6(a+8)

=(−6)(a+8)

=(−6)(a)+(−6)(8)

=−6a−48

Step-by-step explanation:

multiply -6 x a to get -6a and multiply -6 x 8 to get -48 so -6a-48

The question in the picture

Answers

Answer: he should also add that the sides are the same and the shapes look same

Step-by-step explanation:

it looks very same though, how is it different?

Tim runs 3 miles every 45 minutes. At this rate, how long did it take Tim to run 18 miles?

Answers

Answer: 270 minutes or 4 hours and 30 minutes

Step-by-step explanation: 3x6 =18  and 45 x 6= 270

Please help meee...........

Answers

Answer:

to be honest this was hard and even I don't know it but I will give it a shot so I guess you divide or sub I don't know 804 divide by 150? then round your answer to the nearest 10th degree. if this is wrong I deeply apologize

please help asap !!

Answers

the answer is 5/12....

i think thats correct

The answer is 5/12 or A

Light bulbs are normally distributed with an average lifetime of 1000 hours and a standard deviation of 250 hours. The probability that a light bulb picked at random will last between 1400 and 1500 hours is about:

Answers

Answer:

The probability that a light bulb picked at random will last between 1400 and 1500

P(14 00≤X≤1500) = 0.032

Step-by-step explanation:

Explanation:-

Given that mean of the Population = 1000

Given that the standard deviation of the Population = 250 hours

Let 'X' be the random variable in a normal distribution

Let  X = 1400

[tex]Z = \frac{X-mean}{S.D} = \frac{1400-1000}{250} = 1.6[/tex]

Let X = 1500

[tex]Z = \frac{X-mean}{S.D} = \frac{1500-1000}{250} = 2[/tex]

The probability that a light bulb picked at random will last between 1400 and 1500

P(x₁≤ X ≤x₂) = P(Z₁≤ Z ≤z₂)

                   = A( Z₂ ) -A(Z₁)

P(1400≤X≤1500)  = P(1.6≤ Z ≤2)

                            =  A(2 ) -A(1.6)

                           =  0.4772-0.4452

                          = 0.032

Final answer:-

The probability that a light bulb picked at random will last between 1400 and 1500

P(14 00≤X≤1500) = 0.032

                   

B. Mason put sticky notes on some pages of his math book. The page numbers form this sequence: 3, 5, 8, 13, 21, 34, ... Describe the rule for the sequence.

Answers

Answer:

It goes up one number counting each time

Step-by-step explanation:

3 4 5  2 one cap

5 8 13   two cap

18x-(-3x+9)help!!! Please

Answers

Answer:

21x - 9

Step-by-step explanation:

What is the unit cost per bottle if a pack of 6 bottles of juice sells for $4.80?

$0.28 per bottle
$28.80 per bottle
$0.80 per bottle
$8.00 per bottle

Answers

Answer:

$0.80 per bottle

Step-by-step explanation:

[tex]\frac{4.80}{6}[/tex] = total cost / units

= 0.80

Answer:

$o.80

Step-by-step explanation:

4.80 divided by 6 equals 0.8

0.8 can also be 0.80

Which of the following is the product of the rational expressions shown below ? (x + 3)/(x + 2) * (x - 3)/(x - 2)

Answers

Answer:

Option D : [tex]\frac{x^2-9}{x^2-4}[/tex] is the correct answer.

Step-by-step explanation:

Given rational expression is:

[tex]\frac{x+3}{x+2}*\frac{x-3}{x-2}[/tex]

In the first step of solving the rational expression, we will multiply the nominators and denominators.

[tex]\frac{(x+3)(x-3)}{(x+2)(x-2)}[/tex]

[tex]\frac{x^2-3x+3x-9}{x^2-2x+2x-4}[/tex]

Now we will solve the alike terms.

[tex]\frac{x^2-9}{x^2-4}[/tex]

The product of rational expression is [tex]\frac{x^2-9}{x^2-4}[/tex]

Hence,

Option D : [tex]\frac{x^2-9}{x^2-4}[/tex] is the correct answer.

Answer:

option D

Step-by-step explanation:

Ap3x

Which describes the relationship between the x- and y-values in the scatter plot?
A)
no association
B)
linear association
C)
positive association
D)
nonlinear association
PLSSS ITS FINNA BE DUE

Answers

Answer:

C) possitive association

Step-by-step explanation:

Answer:it would be (d)

Step-by-step explanation:

find the side of a right triangle

Answers

The 2 sides of the right triangle is 25 and 24.

Any multiple of a Pythagorean triple is also considered a Pythagorean triple. Multiplying 3, 4, 5 by 2 gives 6, 8, 10, which is another triple. To see if a set of numbers makes a Pythagorean triple, plug them into the Pythagorean Theorem.

3,4,5     5,12,13     7,24,25    8,15,17     9,12,15

Final Result: 25,24

Give 50 mg/kg to a child weighing 56 lbs. The drug is in oral suspension of 100 mg/ml. How many mL would the nurse administer per dose to the child?

Answers

Answer:

About 13 ml

Step-by-step explanation:

The child weighs 56 lbs. We need to first convert the weight of the child from lbs to kg so that we can know the amount of drug in mg is needed to be given to the child.

1 lb = 0.4536 kg

[tex]56\ lbs=56\ lbs*\frac{0.4536\ kg}{1\ lb} =25.4\ kg\\\\[/tex]

Therefore the amount of mg needed to be administered to the child = 50 mg/kg * 25.4 kg = 1270 mg

Since the oral suspension is in 100 mg per ml, hence:

Amount per dose = 1270 mg / (100 mg/ml) = 12.7 ml ≅ 13 ml

The child should be given 13 ml for each dose.

Combine the following like terms 8y - y =

Answers

Answer:

7y

Step-by-step explanation:

y = 1y

8y - 1y = 7y

how to i find the lowest terms of a ratio 12 minutes to 3 hrs ?​

Answers

Answer:75 minutes. Pls brainless..

Step-by-step explanation:

In order to express a ratio in the simplest form, we find the HCF of the terms ... 60/48 (divide both the numerator and denominator by 12 since, the h.c.f. of 60 ... (vi) 3 hours to 75 minutes.

The answer is to this question is 75

PLEASE HELP ME PLEASE​

Answers

a. {2,4,6,8} as the domain is the x values

SSS & SAS proofs practice
I NEED HELPING ANSWERING THE LAST TWO PLEASEEE!!!! thank you!

Answers

Answer:

4. Corresponding angles of congruent triangles. ( Angle)

5. Common side. (Side)

6. From 1, 4, and 5. (SAS axiom)

Step-by-step explanation:

chealsea wants to rearrange her room

Answers

Answer:

Good for her.

Answer:

ok wheres the question

Step-by-step explanation:

I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!

Answers

Answer:

Your image wont load IM SO SORRY:(

Step-by-step explanation:

PLEASE HELP ASAP!!!
A new pair of sunglasses normally costs $50. These sunglasses are currently on sale for $12 off.
What percentage off (discount) are the sunglasses?

Answers

Answer: 24% off.

Explanation: You start by subtracting the amount off from the normal price to get $38. Then you divide 38 by 50 to get 0.76 or 76% which means that that is only 76% of the normal price. Then you subtract 76% from 100% to find how much the difference is, 24%.

WILL give brainleist to the right answer

Answers

Yiu seem to have correct answer which is D



In a certain triangle two sides have lengths 5 and 13. The angle between them is 49

degrees. What is the area of the triangle?

Answers

Answer:

Area = 24.54

Step-by-step explanation:

two sides have lengths 5 and 13.

Let the two sides be;

a = 5

b = 13

The angle between them is 49

C = 49°

Let the third side be c

Thus, using cosine rule, we can find the side c.

c² = a² + b² - 2ac•Cos C

Plugging in the relevant values, we have;

c² = 5² + 13² - 2(5 × 13)Cos 49

c² = 25 + 169 - 130(0.6561)

c² = 108.707

c = √108.707

c = 10.43

Since we now have 3 sides, from herons formula, we can find the area;

Area = √[p(p − a)(p − b)(p − c)]

Where p is half of the perimeter = (a + b + c)/2 = (5 + 13 + 10.43)/2 = 14.215

Thus;

Area = √(14.215(14.215 - 5)(14.215 - 13)(14.215 - 10.43))

Area = √602.4

Area ≈ 24.54

Jenna is at a fair with four friends. They all want to ride the roller coaster, but only three people can fit in a car. How many different groups of three can the five of them make

Answers

Answer:

They can make 10 different groups of three.

Step-by-step explanation:

The order in which the people are in the car is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many different groups of three can the five of them make?

Combinations of 3 from a set of 5. So

[tex]C_{5,3} = \frac{5!}{3!(5-3)!} = 10[/tex]

They can make 10 different groups of three.

Please help me I will offer 20 points

Answers

Answer:

9.3 x 8.5 = 79.05

7.6 x 2.4 = 18.24

an easier way to multiply decimals is to take away decimals and add later

example: 9.3x8.5 > 93x85 = 7905 since there are two places behind the decimal add that many to the solution 7905 > 79.05

ok real quick question how does your teacher give you a D on one of your assignments after they just signed you up for an honor class?
an honor class is something that helps with your collage and could raise you up a grade but my teacher goes ahead and gives me a D she must be missing brain cells right she has to be because that is ridiculous

Answers

Answer:

when the signed you up for the honor class they probably expected you to know more

Answer: knowing what an honors course is, she probably thought you were good at the subject. Just because you got one bad grade on an assignment, doesn't mean that you can't be in an honors course. (That... or she really is missing a brain cell or 2)

Step-by-step explanation:

Delaney plans to run at least 5 miles each week for her health. Delaney has a circular route in the neighborhood to run. Once around that route is 420 yards. If runs that route times during the​ week, will cover at least 30 ​miles?
A: No, because 5 miles is (8800) yards and 30 times around the route is ( ) yards.
B: Yes, because 5 miles is (8800) yards and 30 times around the route is ( ) yards.

Answers

Answer:

B: Yes, because 5 miles is (8800) yards and 30 times around the route is ( ) yards.

Step-by-step explanation:

Delaney plans to run at least 5 miles each week for her health. Delaney has a circular route in the neighborhood to run. Once around that route is 420 yards. If runs that route times during the​ week, will cover at least 30 ​miles?

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