Solve the following linear equation.

6(x + 2) = 30 x

Answers

Answer 1

Answer:

x=1/2

Step-by-step explanation:

Answer 2
6(x + 2) = 30x
6x + 12 = 30x
Subtract 6x from both sides
6x - 6x + 12 = 30x - 12
12 = 18x
Divide 18 from both sides
12/18 = 18x/18
12/18 = x

Related Questions

What is the sum of the polynomials below ? 3y^5-2y+8 2y^5 - 4y^3-7

Answers

Answer:

[tex](3 {y}^{5} - 2y + 8) + (2 {y}^{5} - {4y}^{3} - 7) \\ = 5 {y}^{5} - 4 {y}^{3} - 2y + 1[/tex]


Solve the following equation for x.

18 – 4.x = 10 - 2x

A x = -4
B) x = -1
C) x = 1
D) x =4

Answers

Answer:

D) x = 4

Step-by-step explanation:

18 - 4x = 10 - 2x

10 - 2x = 18 - 4x

10 - 2x + 4x = 18 - 4x + 4x

10 + 2x = 18

10 - 10 + 2x = 18 - 10

2x = 8

2x ÷ 2 = 8 ÷ 2

x = 4

2. Dakota's hourly salary is $12. If Dakota
normally works 9 hours, but today works for only
4 hours, then how much money will Dakota make
today?

Answers

i think the answer is $48

The president of a small company
made $72,000 last year. She cut her
salary this year to $60,000 because
the company was not doing as well.
What was the percent decrease in
her salary to the nearest percent?

Answers

Answer:

17%

Step-by-step explanation:

Percent decrease

[tex] = \frac{72000 - 60000}{72000} \times 100 \\ \\ = \frac{12000}{72000} \times 100\\ \\ = \frac{1200000}{72000} \\ \\ = 16.67 \% \\ \\ \approx \: 17 \%[/tex]

A - y = -2x + 40
B - y = 2x + 40
C y = 1/2x + 40
D - y=-1/2x +40

Answers

Answer:

c y=1/2x+40

because it's positive (up). /

I have 2 more days to live what to do :(

Answers

Answer:

I would say, spend time with your family and friends and get ready for the time, I'm so sorry that this is happening to you and i hope you had an amazing life.

i cant tell if this is legit or not but if you’re honest well, do anything you want to i guess nothing matters in the world anyways

Helppppp meeeeeeeeeeeee

Answers

Answer: B

Step-by-step explanation:

And also why do you have only 1 hour out of 16 to complete a test?

The answer is B :) Yw

At the dance shoe store, they sell Tap, Point, and Ballet shoes. A pair of point shoes are double the price of ballet shoes. The tap shoes are $10 more than ballet shoes. If the total price of all the shoes is $648, how much is each shoe

Answers

Answer:

a pair of Tap shoes costs $169.50

a pair of Point shoes costs $319.00

a pair of Ballet shoes costs $159.50

Step-by-step explanation:

first tell your teacher, that the problem description is misleading.

as a shoe store has more than one pair per type. so, "all the shoes" would mean all the sites in the store. but that is for sure not meant here.

what your teacher hopefully meant was that the total price of buying one pair of each of the shoe types is $648.

and your teacher was hopefully asking for the price of pairs of shoes, and not actually single shoes.

my solution bases on these assumptions.

so, we got Tap (t), Point (p) and Ballet (b) shoes.

buying one pair each is

t + p + b = 648

now we know some other information.

p = 2×b (Point shoes are double the price of Ballet shoes)

t = b + 10 (Tap $10 more than Ballet)

so, we can replace t and p by expressions of b and get

b + 10 + 2×b + b = 648

4×b + 10 = 648

4×b = 638

b = 159.50

p = 2×159.50 = 319.00

t = 159.50 + 10 = 169.50

which of the following is the slope of a line perpendicular to the line y = -2/3 x +5

Answers

Answer:

-2/3x is the slope

Step-by-step explanation:

y=mx+b is the equation to follow

Help me please! It’s timed

Answers

Answer:

x=36.08

Step-by-step explanation:

Given: From the given triangle DEF, ∠E=[tex]90^{0}[/tex]

DF=55

and DE= x

To find the value of x

According to trigonometry rule,

[tex]\frac{x}{55} =cos49^{0} \\x=55(cos 49^{0} )\\x=55(0.656)\\x=36.08[/tex]

Therefore, the value of x will be 36.08

I didn’t mean to click C but yea I need help

Answers

Answer:

C.

Step-by-step explanation:

It says from least to greatest. You start off looking at the whole numbers and 1 is the least. Your going to start at 1 2/5 (that rules off A and B). The next number you need to compare is 3/10 and 5/8. Since 5/8 is bigger than 3/10 the answer would be C.

the answer to this problem actually is C

Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum of their three ages is 31 years. How old is each one them?​

Answers

We are given these three people age below:

Jim's ageCarla's ageTomy's age

We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.

Jim's age = x

Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.

Carla's age = x+5

Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).

Tomy's age = 6+(x+5)

The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.

[tex] \large{x + x + 5 + 6 + x + 5 = 31}[/tex]

Combine like terms and solve for x.

[tex] \large{3x + 16 = 31} \\ \large{3x = 31 - 16} \\ \large{3x = 15} \\ \large{x = 5}[/tex]

Then we substitute the value of x in ages to find these three people ages.

Jim's age = x = 5Carla's age = x+5 = 5+5 = 10Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.

Answer

Jim's age = 5Carla's age = 10Tomy's age = 16

Amber and Ruben play a game with one 6-sided die. Ruben gets a point if he rolls a prime number. Amber gets a point if she rolls a number that is a factor of 6. Is this game fair? Explain.

Answers

Answer:

Explain what?

Step-by-step explanation:

What is the equation of the translated function, g(x), if
f(x) = x2?

g(x) = (x + 5)2 + 2
g(x) = (x + 2)2 + 5
g(x) = (x – 2)2 + 5
g(x) = (x – 5)2 + 2

Answers

Answer:

D

Step-by-step explanation:

g(x) = (x+4)^2 +6

I’ll mark brinaliest if the answe is correct. I need those two answers that are blank

Answers

Answer:

blue marbles: 4/15

red marbles: 8/15

Step-by-step explanation:

add all the marbles together then put how many marbles in front as the numerator.

The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors?

Answers

This question is incomplete

Complete Question

A varsity boys' basketball team has a ratio of seniors to juniors that is 7:4.

The varsity girls' basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors

Answer:

The boys' team has more seniors

Step-by-step explanation:

If each team has 12 juniors,

Step 1

For the boys' basketball team, lets find the total number of people on the team

A varsity boys' basketball team has a ratio of seniors to juniors that is

7:4 = seniors : juniors

Sum of proportion

= 7 + 4 = 11

Let the total number of people on the team = x

Hence:

4/11 × x = 12

4x/11 = 12

Cross Multiply

4x = 11 × 12

x = 11 × 12/4

x = 33 members

The number of seniors is calculated as

33 members - 12 juniors

= 21 seniors

Step 2

For the girls' basketball team, lets find the total number of people on the team

The varsity girls' basketball team has a ratio of seniors to juniors that is 3 to 2.

= 3:2 = seniors : juniors

Sum of proportion

= 3+2 = 5

Let the total number of people on the team = x

Hence:

2/5 × x = 12

2x/5 = 12

Cross Multiply

2x = 5 × 12

x = 5 × 12/2

x = 30 members

The number of seniors is calculated as

30 members - 12 juniors

= 18 seniors

Therefore, from our above calculations, the boys' team has more seniors

express 81 as sum of odd numbers.​

Answers

Step-by-step explanation:

[tex]1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17[/tex]

Solution all the odd no. show sum is 81

PLEASE HELP How can you make different triangles with the same angle measures?
Form different triangles with angle measures 90°, 75°, and 15°
How can you make different triangles with the same angle measures?
O A. Make triangles with the same angle measures and the same side lengths
OB. It is not possible to make different triangles with the same angle measures.
OC. Make triangles with the same angle measures but different side lengths
OD. Make triangles with the same side lengths but different angle measures

Answers

C. Make triangles with the same angle measures but different side lengths.

Reasoning:
The angle measurement has to be the same according to the question. The side lengths only impact the shape of a triangle, making it different even if two triangles have the same measurement.

CORRECTLY ANSWER PLEASE AND THANK YOU

Answers

9514 1404 393

Answer:

  (-3, 4)

Step-by-step explanation:

The midpoints of the diagonals of a parallelogram are coincident. This means the sums of coordinates at the ends of the diagonals are the same. For missing point P, we must have ...

  P +(0, -3) = (-6, -6) +(3, 7)

  P = (-6, -6) +(3, 7) -(0, -3)

  P = (-6 +3 -0, -6 +7 -(-3))

  P = (-3, 4)

$1.50 is what fraction of $6.00?

Answers

Answer:

$1.50 is [tex]\frac{1}{4}[/tex] of $6.00

Step-by-step explanation:

In order to answers this, we should put $1.50 as the numerator, and $6.00 as the denominator, then simplify it and get the following...

[tex]\frac{1.50}{6.00} = \frac{1.50 / 1.50}{6.00/1.50} = \frac{1}{4}[/tex]

whats the value of x? 8(-6 + 6x) = 240

Answers

Answer:

x = 6

Step-by-step explanation:

8(-6 + 6x) = 240

Distribute the 8

-48 + 48x = 240

Add 48 to both sides

48x = 288

Divide both sides by 48

x = 6

Susan and Katie are running an ultra marathon. Susan averages 5 miles per hour. Katie averages 5.2
miles per hour. If Susan gets a 45 minute head start, then exactly how many hours after Katie begins
running will she catch up to Susan?

Answers

Answer:

Katie will catch up to Susan after running 33.4 h.

Step-by-step explanation:

We can find the time that takes Katie to catch up to Susan by using the following equation:

[tex] x_{f_{k}} = x_{0_{k}} + v_{0_{k}}t + \frac{1}{2}at^{2} [/tex]

Where:        

[tex] x_{f_{k}} [/tex]: is the final position of Katie

[tex] x_{0_{k}} [/tex]: is the initial position of Katie = 0

[tex] v_{0_{k}}[/tex]: is the initial speed of Katie = 5.2 mi/h

a: is the acceleration = 0 (she is moving at constant speed)

t: is the time

Since Katie will catch up to Susan, the final distance traveled by Katie will be equal to the final distance traveled by Susan.

[tex] x_{f_{s}} = x_{0_{s}} + v_{0_{s}}t + \frac{1}{2}at^{2} [/tex]

[tex] x_{0_{k}} + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]

Since Susan gets a 45 minutes head start, in that time she traveled the following distance:      

[tex] d = \frac{v}{t} = \frac{5 mi/h}{45 min*\frac{1 h}{60 min}} = 6.67 mi [/tex]

So, this will be the initial position of Susan.

[tex] 0 + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]

Hence, the time will be:

[tex] 5.2t = 6.67 + 5t [/tex]              

[tex] t = 33.4 h [/tex]                

Therefore, Katie will catch up to Susan after running 33.4 h.

I hope it helps you!            

Which number is rational?

Answers

Answer:

Option D, [tex]\sqrt{16}[/tex], since the answer is 4 which is a rational number considering that it's a whole number

Hope this helps!

see attachment :)) I've been stuck on this question forever... I do not understand how they got 2r^2-60r-45=0. I know the formula for the area of the circle is r^2 pi... but still... Can someone answer the question with explanation?

Answers

Answer:

2r² - 60r - 45 = 0

Step-by-step explanation:

Hang on this is going to be convoluted

------------------------------

Area of pond

a = πr²

Area of path

a = πr²/10

Combined Area

a = πr² + πr²/10

a = π(r² + r²/10)

---------------------------

The Combined Area can also be expressed as

a = π(r + 1.5)²

a = π(r² + 3r + 2.25)

-----------------------------

Set the areas equal

π(r² + r²/10) = π(r² + 3r + 2.25)

Divide both sides by π

r² + r²/10 = r² + 3r + 2.25

Subtract r² from both sides

r²/10 = 3r + 2.25

Multiply both sides by 20

2r² = 60r + 45

Subtract 60r + 45 from both sides

2r² - 60r - 45 = 0

Help pleaseeeeeeeeeeeeeeeeeee

Answers

Answer:

9 and ,-7 , -4

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

Answer:

9 and ,-7 , -4

Step-by-step explanation:

Factories the following expression correctly 8x2 +4x

Answers

Answer:

4x(2x+1)

Step-by-step explanation:

8x^2+4x

x(8x+4)

4x(2x+1)

Answer:

4x(2x + 1)

Step-by-step explanation:

8x² + 4x

4(2x² + x)

4x(2x + 1)

please help me!!!!!!!!!​

Answers

Answer:

10 * 5 / 2 = 25 cm

Step-by-step explanation:

Hope this helps

Answer:

25 cm² is the answer ..... my sister

if cos a>0 and cot a is undefined then where does the terminal side of a located?
A. Quadrant II
B.quadrant III
C.negative x axis
D.negative y axis
E.no such angle a exists

Answers

Answer:C

Therefore: In Quadrant I, cos(θ) > 0, sin(θ) > 0 and tan(θ) > 0 (All positive). For an angle in the second quadrant the point P has negative x

Step-by-step explanation:

consider the equation k over x equals 12 where k is any number between 20 and 65 and X is a positive integer what are the possible values for x​

Answers

x could be the positive integers 2, 3, 4, or 5

Choose the attributes that are true for all quadrilaterals.
four angles
four right angles
four sides
opposite sides equal in length
opposite sides parallel

Answers

Answer:

four angles

four sides

Step-by-step explanation:

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