Solve for x. 4(3x - 5) = 7(2x + 3).

Answers

Answer 1

Answer:

x = -20.5

Step-by-step explanation:

Simplifying

4(3x + -5) = 7(2x + 3)

Reorder the terms:

4(-5 + 3x) = 7(2x + 3)

(-5 * 4 + 3x * 4) = 7(2x + 3)

(-20 + 12x) = 7(2x + 3)

Reorder the terms:

-20 + 12x = 7(3 + 2x)

-20 + 12x = (3 * 7 + 2x * 7)

-20 + 12x = (21 + 14x)

Solving

-20 + 12x = 21 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.

-20 + 12x + -14x = 21 + 14x + -14x

Combine like terms: 12x + -14x = -2x

-20 + -2x = 21 + 14x + -14x

Combine like terms: 14x + -14x = 0

-20 + -2x = 21 + 0

-20 + -2x = 21

Add '20' to each side of the equation.

-20 + 20 + -2x = 21 + 20

Combine like terms: -20 + 20 = 0

0 + -2x = 21 + 20

-2x = 21 + 20

Combine like terms: 21 + 20 = 41

-2x = 41

Divide each side by '-2'.

x = -20.5


Related Questions

What is the y-intercept of the graph? 15 points

Answers

Answer:

5

Step-by-step explanation:

bro its literally on the graph lol just check where the line touches the y axis

Answer:

5

Step-by-step explanation:

.........................

A health fitness research group wishes to estimate the mean amount of time (in hours) that members of a fitness center spend each week exercising at the center. They want to estimate the mean within a margin of error of 0.4 hours with a 95% level of confidence. Previous data suggest that the population standard deviation (sigma) is 2.6 hours. What is the smallest sample size that meets these criteria

Answers

Answer:

the smallest sample size is 163

Step-by-step explanation:

The computation of the smallest sample size that meets these criteria is shown below:

n = (Z a/2 ×  Standard deviation  ÷ Margin of error ) ^2

Zα/2 at 0.05% LOS is = 1.96 ( From Standard Normal Table )

Standard Deviation ( S.D) = 2.6

Margin of error i.e. ME =0.4

n = ( 1.96 × 2.6 ÷ 0.4) ^2

= 163

Hence, the smallest sample size is 163

Steven drew Rectangle EFGH. Then, he drew a translation of it, Rectangle E'F'G'H'.
Line segment FG is 3 inches. The distance from E to E' is 5 inches.
a) How long is F'G' ?

Answers

Answer:

can you show a picture

bsbsnsnd

Which set of sides would make a right triangle?​

Answers

Answer:

c

Step-by-step explanation:

Find the volume of the figure below. Round to the nearest tenth it needed. Please help

Answers

Answer:

1,060.8 mm³

Step-by-step explanation:

Volume of the triangular prism = ½*bhl

Where,

b = 12 mm

h = √(12² - 6²) ≈ 10.4 mm (pythagorean theorem)

l = 17 mm

Plug in the values

Volume = ½*12*10.4*17

Volume = 1,060.8 mm³

please help me ,38 points for 2-7 this is 7th grade 1 step equation word problems

2) Alyssa is baking a cake. The recipe calls for 9 cups of flour. She already put in 4 cups. How many more cups does she need to add ?

3) After eating at the restaurant, Sara, Tom, and Keith decided to divide the bill evenly. If each person paid 45 dollars, what was the total of the bill ?

4) Tim had 15 peaches left at his roadside fruit stand. He went to the orchard and picked more peaches to stock up the stand. There are now 68 peaches at the stand, how many did he pick?

5) Keith received 52 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 47 dollars left over, how much did he spent on the baseball gear?

6) Last week Tim had 38 dollars. He washed cars over the weekend and now has 91 dollars. How much money did he make washing cars ?

7) There were 6 roses in the vase. Jessica cut some more roses from her flower garden. There are now 16 roses in the vase. How many roses did she cut?​

Answers

Answer:

the answer would be the equilibrium of 28.59295

A circular walk is 1.5 meters wide, if the outer circumference is 72 meters, what is the inside diameter of the walk?​

Answers

9514 1404 393

Answer:

  about 19.92 meters

Step-by-step explanation:

The circumference is ...

  C = πd

  72 m = πd . . . . . for outer diameter d

  d = (72 m)/π

The inner diameter is 3 meters shorter, so is ...

  inner diameter = (72/π) m - 3 m ≈ 19.92 m

Camden is using his cell phone to watch videos. He has 4/5 of the battery life remaining. Each video takes 1/9 of the battery life.
How many full videos can Camden complete before his phone loses its battery life?

Answers

Answer: 31 videos

Step-by-step explanation:

Solve for c.
a(c- b) =d

Answers

the answer to your question would be...
___________________________________
answer: c = d/a + b

(please give thanks if i am correct)

Answer:

c=[tex]\frac{d}{a}[/tex]+b

Step-by-step explanation:

a(c-b)=d

c-b=[tex]\frac{d}{a}[/tex]

c=[tex]\frac{d}{a}[/tex]+b

Hope this helps! :)

What is the recursive formula for this sequence . 10,14,18,22,26,...

Answers

X+4 it is add 4 digit

Please help me!!
A. Identify the quadrant point C is in. B. Identify the point that is on an axis. Which axis is it?

Answers

Answer:

Quadrant 2, x-axis

Step-by-step explanation:

Point C is on top left side of the x-y graph, which is quadrant 2.

An axis refers to line, so the x axis the is horizonal line, as it says on the right end of it.  The y axis is the vertical line, noted at the top of the line.

The only line that's on a line is point D and it's on the x-axis.

Divide the given polynomial by the given monomial.​

Answers

Answer:

Looks like all of your questions have been answered.

The sum of two numbers is 80.6. One of
the numbers is 9 times the other. What
are the two numbers?

Answers

X+y= 80.6
9x=y
Then x+9x=10x=80.6
X=8.06
Y=72.54

2³(3÷4+x)+12=2 iuybki[ojiouhnkluibkjb

Answers

Answer:

what?

Step-by-step explanation:

hansnskekkwkwnw

Answer:

X=-2

Step-by-step explanation:

1. Open up the brackets

You then get

6+8x+12=2

2. Send the whole numbers to the other sides

8x= 2-6-12

8x = - 16

3. Divide both sides by 8 to leave x alone

X=-2

Maureen's drink coaster has a diameter of 12 centimeters. What is the coaster's area?

Answers

Answer: 113.1 cm

Step-by-step explanation:

Area of circle: (pi) * r^2
Find radius: 12/2 = 6
Assuming pi = 3.14
3.14 * 6^2 = 3.14 * 36 = 113.04
The area is 113.04

Use distributive property to remove the parenthesis for:
(1-y+x)(-6)

Answers

-6+6y-6x

there ya go can u please give me brainliest

Answer:

Step-by-step explanation:

Multiply -6 to the first bracket so it would be

-6+6y-6x This is the answer

Greg feeds his dog 2/3 pounds of dog food for each meal. Greg has just bought 18 pounds of dog food. For how many years will the food last? Write your answer in simplest form

Answers

Answer:

24

Step-by-step explanation:

24 divuded by .75 = 32 Meals

Factor Completely:

16x8−81y8

Answers

Answer:

Step-by-step explanation:

16x⁸ - 81y⁸ is the difference of squares.

16x⁸ - 81y⁸ = (4x⁴)² - (9y⁴)² = (4x⁴ + 9y⁴)(4x⁴ - 9y⁴)

Note that 4x⁴ - 9y⁴ is also the difference of squares.

4x⁴ - 9y⁴ = (2x²) - (3y²)² = (2x² + 3y²)(2x² - 3y²)

16x⁸ - 81y⁸ = (4x⁴ + 9y⁴)(2x² + 3y²)(2x² - 3y²)

Help please i need i will mark you brill

Answers

Answer:

(x^2)*(56+3.42)

i think that is the answer

Step-by-step explanation:

What’s b I have to type it in

Answers

Answer: solve the problems and then divide it

Step-by-step explanation:

Electromagnetic radiation is more common than you think. Radio and TV stations emit radio waves when they broadcast their programs; microwaves cook your food in a microwave oven; dentists use X rays to check your teeth. Even though they have different names and different applications, these types of radiation are really all the same thing: electromagnetic (EM) waves, that is, energy that travels in the form of oscillating electric and magnetic fields.
Consider the following:
radio waves emitted by a weather radar system to detect rain drops and ice crystals in the atmosphere to study weather patterns;
microwaves used in communication satellite transmissions;
infrared waves that are perceived as heat when you turn on aburner on an electric stove;
the multicolor light in a rainbow;
the ultraviolet solar radiation that reaches the surface of the earth and causes un-protected skin to burn; and X rays used in medicine for diagnostic imaging.
Which of the following statements correctly describe the various forms of EM radiation listed above?
A. They have different wavelengths.
B. They have different frequencies.
C. They propagate at different speeds through a vacuum depending on their frequency.
D. They propagate at different speeds through non-vacuum media depending on both their frequency and the materialin which they travel.
E. They require different media to propagate.

Answers

Answer:

A. They have different wavelengths.

B. They have different frequencies.

C. They propagate at different speeds through a vacuum depending on their frequency.

Step-by-step explanation:

Electromagnetic waves have electric and magnetic fields which travel in the free space together. They travel at the speed of light and accelerate by particle oscillates. EM radiations are differently used for different purposes. They are modified in order to create micro waves or radio waves.

The charge for a bicycle repair was $9.28 for parts, 1/4 hour of labor at $18 per hour, and a $2 shop fee. What was the total cost (c) of the repair?​

Answers

Answer:

15.78

Step-by-step explanation:

4 goes into 18 (4 quarters in 1 hour), 4.5 then 4.50+ 9.28+2= $15.78

HELP MEEE 5(−4) = 15-4x

Answers

Answer:

8.75

Step-by-step explanation:

Please help it’s for homework

Answers

Answer:

y=10x+4

The slope is 10 and the y-intercept is 4.

Let me  know  if this helps!

y=10x+4 have a good day

Find the interest on $4,000 at 3% for 4 months.

Answers

Answer:

$80 interest will be owed for 4 months

Step-by-step explanation:

P is the principal amount, $4000.00.

r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.

t is the time involved, 3....month(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.

So, t is 0.25....year time periods.

To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that:

Express q/4p−q/p as a single fraction

Answers

Answer: -3q/4p

I hope this helps

The fraction q/4p−q/p as a single fraction is −3q/4p.

We are given that;

The fraction= q/4p−q/p

Now,

A fraction represents a part of a number or any number of equal parts.

To express q/4p−q/p as a single fraction, we need to find a common denominator for the two fractions and subtract them. The least common multiple of 4p and p is 4p, so we can multiply the second fraction by 4/4 to get an equivalent fraction with the same denominator:

q/4p−q/p = q/4p−(q/p)(4/4) = q/4p−4q/4p

Now we can subtract the fractions by subtracting the numerators and keeping the denominator:

q/4p−4q/4p = (q−4q)/4p = −3q/4p

Therefore, by the fraction answer will be −3q/4p.

Learn more about fraction;

https://brainly.com/question/729654?referrer=searchResults

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the scientific notation, 170.04 is written as​

Answers

Answer: 1.7004 × 10^2

Step-by-step explanation:

There are 200 male students at a particular school. Of these, 58 play football. 40 play basketball, and
8 play both
a) Draw and label a Venn diagram for this situation.
b) How many play both sports.
c) How many play basketball but not football?
d) How many play football but not basketball?
e) How man do not play football or basketball?
CORRECT ANSWERS ONLY

Answers

Answer:

B) 8 play both

C)32 play only basketball

D) 50 play only football

E) 110 play none

The Venn Diagram is a method of representing stets in a logical manner. The number of students who don't play any of the sports is 110.

What is Venn Diagram?

The Venn Diagram is a method of representing stets in a logical manner.

Given that there are 200 male students at the school. Also, Of these, 58 play football, 40 play basketball, and 8 play both.  

A.) The venn diagram can be drawn as shown below.

B.) The number of students who play both sports is 8.

C.) The number of students who play basketball but not football, are the student in the blue circle. Therefore, the number of students is 32.

D.) The number of students who play football but not basketball, are the student in the red circle. Therefore, the number of students is 50.

E.) The number of students who don't play any of the sports,

= Total student - Basketball playing student - Football playing student

- both sports playing student

= 200 - 50 - 32 - 8

= 110

The number of students who don't play any of the sports is 110.

Learn more about Venn Diagram:

https://brainly.com/question/1605100

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20 minus 8 help
.... 6×7. 2 differt questions answer separately

Answers

20-8=12

6x7=42

i shall say this is correct

Answer:

43.2

Step-by-step explanation:

What is the minimum value points of z=30x+40y subject of x+y<=140 x>=45 y>=32 20x+10y>=1500

Answers

9514 1404 393

Answer:

  minimum z: 3050

Step-by-step explanation:

The attached graph shows the feasible region as a white space. The dashed lines at its edges are part of the solution set. The vertex closest to the origin is the one that minimizes z: (x, y) = (59, 32).

The minimum value of z is ...

  30·59 +40·32 = 3050

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