How many solutions are there for this equation?
3(4x + 2) = 8x + 24 –2x

Answers

Answer 1

Answer:

one solution i believe

Step-by-step explanation:

x = 3

Answer 2
Answer:

Only one solution, x = 3

Step-by-step explanation:

3(4x + 2) = 8x + 24 - 2x

12x + 6 = 8x + 24 - 2x

12x = 8x + 18 - 2x

12x = 6x + 18

6x = 18

x = 18/3

x = 3

Related Questions

20 days to 2 weeks ratio

Answers

Answer:

20:14 = 10:7

Step-by-step explanation:

A week is equal to 7 days

2 weeks is equal to 2*7 = 14 days

Answer:

20 : 14

Step-by-step explanation:

Since there are 20 days, convert 2 weeks into days, (7 x 2), and you get 14.

Leonard owns a business earning $37,800 in profits. These profits are appreciating at about 2.3% each year. What are Leonard's profits after eight years? (2 points)
$38,383.50
$45,341.60
$31,379.67
$44,755.20

Answers

Answer:

B. $45341.60

Step-by-step explanation:

Given:

Initial profit = $37800Rate of appreciation = 2.3% per year

The equation for this:

[tex]P(t) = 37800*(1 + 0.023)^t = 37800*1.023^t[/tex]

Find the value of P(8):

[tex]P(8) = 37800*1.023^8 = 45341.60[/tex]

Correct choice is B

a watermelon is thrown down from the 7th floor of urey hall at ucsd. if the initial height of the watermelon is 21.0 meters, and it is thrown straight downward with an initial downward velocity of 3.00 m/s. how far will the watermelon have fallen from its starting height after 1.50 seconds?

Answers

Answer:

The watermelon has fallen 15.53625m

Step-by-step explanation:

x=vi*t+.5*a*t^2

x=3*1.5+.5*9.81*1.5^2

x=15.53625m

The answer would be 15.5

Helppp please I will mark brainiest

Answers

Answer:

number 1

Step-by-step explanation:

read the qeustion again

The value of c varies directly with y, and when x=1/3, y=5

Write an equation to represent the direct variation

Find the value of y if x=-2

PLS HELP

Answers

Answer:

-3/10

Step-by-step explanation:

y = k/x

5 = 3k

k = 3/5

y = 3/5x

y = 3/5(-2)

   = 3/-10

    = [tex]-\frac{3}{10}[/tex]

Feel free to mark this as brainliest! :D

HELP PLSSSSSSSSSSSSS

Answers

The 80 degree part is corresponding to 2x so use a one step equation for that one, 80=2x 80/2= 40, x=40. The two lines are parallel so they are equal, using another one step equation 80=5y, 80/5=16 y=16. For the next one 30 and w are perpendicular to the right angle beside it so 90-30= 60, w=60. 3y and x are on a supplementary angle so 180= 3y, y=60, 180-60=90, z=90, 5x+4=90-4=86/5=17.2, x=17.2

I need an explanation on how to do this one

Answers

ok!

to find mean, add all of the numbers, and divide that by how many numbers you have.

for example:

number 7 on your paper (8,9,10,15,28)

add those numbers together to get: 70

then divide 70 by 5 (since that's how many numbers there are in the problem) to get: 14

to get median write out all the numbers from least to greatest like you've done and find the middle number by marking off a number from the side each time then you will get: 10

to find mode you just write the number that appears the most. since there are no repeating numbers in your problem, theres no mode.

to find range you subtract the smallest number from the largest number in the problem.

so in your case, it would be 28-8

your range would be: 20

helpp!!! plz!!!!!!!!!!!

Answers

odd; positive because the line goes up

simplify a⁷ ÷ a⁴ × a⁵​

Answers

Answer: a^8

My work: a^12 divided by a^4 and got a^8

(hope this helps) :)

A rectangular farm has an area of 5/8 square miles. If its length is 1/9 miles, what is its width?

Answers

45/8 or 5 5/8

5/8 divided by 1/9 - 5/8 x 9/1

I need theses answer quick please! (will mark brainliest)

determine whether each pair of ratios are equivalent ratios.

1. 8/9, 72/81

2. 3/14, 21/98

3. 12/17, 50/85

Answers

Answer:

1. Equivalent

2. Equivalent

3. Not equivalent

Step-by-step explanation:

So basically for all of them you need to find a multiple for the numerator of the first fraction to see if it equals the numerator of the second fraction, and same goes for denominator.

For the first one, 8*9 is 72, and you must multiply the denominator with the same number you multiplied the numerator with, so 9*9 is 81, so it is equivalent.

SOMEONE HELPPP PLZ!!!

Answers

Divide 1.68 by .12 to get your answer

HELP PLEASE WILL MARK BRAINLIEST TO BEST ANSWER

Answers

Answer:

a

Step-by-step explanation:

Answer:

c. (3x)^2

Step-by-step explanation:

Which expression is equivalent to (2x^4+8x^3-25x^2-6x+14)÷(x+6)

(1). 2x^3+4x^2+x-12 + (86/(x+6))
(2). 2x^3-4x^2-x+14
(3). 2x^3-4x^2-x + (14/(x+6))
(4). 2x^3-4x^2-x​

Answers

Answer:

Here is your Answer

(3.) 2x^3-4x^2-x + (14/(x+6))

Step-by-step explanation:

The expression for the division of polynomials is obtained as  (2x³- 4x²- x) + 14/(x + 6).

What is remainder theorem for polynomials?

The remainder theorem states that that when a polynomial p(x) is divided by another polynomial x + a, then the remainder obtained is given as the value of the polynomial at x = -a which is written as p(-a).

The given problem can be solved by remainder theorem as follows,

Suppose p(x) = 2x⁴ + 8x³- 25x²- 6x + 14.

Now, when p(x) is divided by x + 6, the remainder is given as,

p(-6) = 2 × -6⁴ + 8 × -6³ - 25 × -6² - 6 × -6 + 14

⇒ p(-6) = 14

Thus, by division lemma the following equation can be written as,

2x⁴ + 8x³- 25x²- 6x + 14 = (x + 6)(2x³- 4x²- x) + 14

⇒ (2x⁴ + 8x³- 25x²- 6x + 14) ÷ (x + 6) = (2x³- 4x²- x) + 14/(x + 6)

Hence, the equivalent expression is given as (2x³- 4x²- x) + 14/(x + 6).

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Name two obtuse angles

Answers

Answer:

more than 90° or less than 180°

Heathers rabbit has a mass of 5.190 kilograms. Jeff's rabbit has a mass of 5.195 kilograms.Write and inequality statement comparing the masses of the rabbits

Answers

Answer:

5.190 < 5.195

Step-by-step explanation:

5.195 is bigger than 5.190, so 5.195>5.190

Heather does not have 5.190 kg she has something else

Noreen can walk 1/3 of a mile in 12 minutes what is her average speed in miles per hour. (this is multiple choice)

A. 36 miles per hour
B. 12 miles per hour
C. 1/4 a mile per hour
D. 1 2/3 miles and hour

Answers

Step-by-step explanation:

1/3 mile in 12 minutes (=1/5 of an hour).

so, the speed (ratio of distance/time) is

1/3 mile / 12 minutes

the speed in mph is the converted ratio, where the denominator (bottom) is turned into 1 (hour).

what do I need to multiply 12 minutes with to get 1 hour ?

the same to multiply 1/5 with to get 1 : 5

to keep the overall value of the ratio the same I need to multiply both parts (top and bottom) of the fraction with the same value.

therefore,

1/3 / 12 × 5/5 = (1/3 × 5) / (12×5) = 5/3 / 60

so, the speed in mph is

5/3 miles / 60 minutes = 5/3 miles / 1 hour = 5/3 mph = 1 2/3 mph

D is the right answer.

\frac{5+p}{9}<-1

Can someone help me find how to solve this?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{5+p}{9} <-1\\5+p<-9\\p<-9-5\\p<-14[/tex]

when 4a - a x 3a + 7a is simplified it is equivalent to?

Answers

Answer: -3a^2 + 11a

Step-by-step explanation:

4a - (a x 3a) + 7a - Multiply first to get 4a - 3a^2 + 7a

4a - 3a^2 + 7a - Add like terms (a terms) to get -3a^2 + 11a

So the answer in -3a^2 + 11a

Find the missing dimension of the prism. Volume = 532 in. 3 19 in​

Answers

Subtract them but turn 532 into a decimal

The required width of the rectangular prism is 16in.

What is a rectangular prism?

A rectangular prism is a three dimensional shape , that has six faces. The shape of a rectangular prism is just a cuboid shape.

Use the formula of volume of a cuboid since a rectangular prism is in the shape of a cuboid. The volume of a cuboid is V= length×breadth×height.

Given that, The volume of prism V=[tex]532 in^{3}[/tex]

The length of prism , L= 19in.

The height of prism [tex]H=1\frac{3}{4}=\frac{7}{4}[/tex].

The width, W=?

The rectangular prism has volume V=Length×Height×Width.

Therefore,  532=19×(7/4)×W

So,  532×4=19×7×W

Thus,  (532×4)/(19×7)=W

Therefore,  W=16in.

Thus, the width of the rectangular prism is 16in.

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Drag and drop the fractions to order them from least to greatest. -3/7 1/4 -4/5 2/3

Answers

Answer:

-4/5, -3/7, 1/4, 2/3

Step-by-step explanation:

The last one is the greatest as a positive but because it's both the greatest positive but a negative it is the smallest. Since 2/3 is closest to 1 and is positive it would be the greatest. -3/7 is a smaller value than 1/4 as it's closer to 0 than 1/4 is.

-4/5, -3/7, 1/4, 2/3

I just turned them into decimals and sorted it.
-4/5 = -0.80
-3/7 = -0.42
1/4 = 0.25
2/3 = 0.67
But you can also infer without converting. -4/5 is closer to being a whole since there are 4 “pieces” out of 5, so only 1 piece left. -3/7 is farther because 4 pieces left. Same with the positive numbers. But this method doesn’t always work because some pieces can be bigger than others like 9/10 (0.90) and 5/6 (0.83)

?
11.9 cm
9.1 cm
-oblem
Two side lengths of a triangle are shown above. What could be the measurement of the missing side length? (choose 2)
A 20.3 cm
B22.4 cm
C 2.6 cm
D14.6 cm
E 25 cm

Answers

Answer:

14.98cm

Step-by-step explanation:

Just using the pythagorean theroem

Which symbol correctly compares these fractions?

−3/5□−2/3

A. >

B. <

C. =

Answers

Step-by-step explanation:

Or are you looking for the least

write the following ratios in the simplest form

80cm to 2m
76 cents to 3 dollars
2h to 45 min

Answers

Answer:

1. 1600

Step-by-step explanation:

1 80*20 =1600

2. 76

−3,−8,12,−15,9

find the mean

Answers

First we have to add all five numbers up then divide that total to get the mean (which is the average)
So -5 divided by 5 is -1
The mean is -1

30) x/4 = 9

31) a/5 = 7

32) n/3 = 29

33) n/3 = 10

34) y/5 = 24

35) b/9 = 15

36) n/7 = 17

37) x/3 = 8

38) y/5 = 33

39) e/36 = 5

40) a/25 = 4

41) b/16 = 7

Answers

Answer:

30). x=36

(31). a=35

32. n=104

33. n=30

34. y=120

35. b=135

Step-by-step explanation:

x/4=9

cross multiply

x=4×9

x=36

a/5=7

cross multiply

x=5×7

x=35

(repeat thesame steps over and over)

PLEASEE HELP WILL MARK YOU BRAINLIEST

Answers

-(6y-4)+(6y-4)-(-2)
= -6y+4+6y-4+2
= 2

please someone helpppppp im giving brainliest!

Answers

Answer:

A

Step-by-step explanation:

The order of operations, or PEMDAS, is used like so:

Parentheses

Exponents

Multiply

Divide

Add

Subtract

exponents are the second step of the order of operations

Answer:

The 2nd step i think I'm not totally sure.

Step-by-step explanation:

The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. What is the height of the statue?

Answers

Answer: 150 + 3 = 150

Step-by-step explanation: The statue of liberty is approximately 150 feet tall from the base to the tip of the torch. A scale model is built that is 3 feet tall.

For a quadratic in standard form f (x) = ax² + bx +e with
vertex (h,k), determine the indicated values.

Answers

For a general quadratic equation, we want to find the equations for the vertex (h, k).

The values of the vertex are:

h =  -b/(2*a) k = f(h) =  b^2/(4a) - b^2/(2a) + c

We start with the general quadratic equation:

f(x) = a*x^2 + b*x + c

To find the x-value of the vertex (h in this case) we need to find the zero of the first derivate of f(x) (because the vertex is a minimum/maximum of the function).

We have:

f'(x) = 2*a*x + b

We solve:

f'(h) = 0 = 2*a*h + b

        -b/(2*a) = h

So we just found the value of h.

To find the value of k, the y-value of the vertex, we need to evaluate the function in the x-value of the vertex, we will get:

k = f(h) = a*( -b/(2*a))^2 + b*( -b/(2*a)) + c

k = b^2/(4a) - b^2/(2a) + c

Then, concluding, we have:

h =  -b/(2*a) k = f(h) =  b^2/(4a) - b^2/(2a) + c

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