-6x + 3x = -21 solving for variable

Answers

Answer 1

x= 7 is the answer

Combine like terms

-3x=21

Divide both sides by 3

x=7

Answer 2

Answer:

[tex]:\implies \sf -6x + 3x = -21 \\ \\ \\ [/tex]

[tex]:\implies \sf - 3x = -21\\ \\ \\ [/tex]

[tex]:\implies \sf x = \dfrac{-21}{ - 3} \\ \\ \\ [/tex]

[tex]:\implies \sf x = \dfrac{21}{3} \\ \\ \\ [/tex]

[tex]:\implies \underline{ \boxed{ \textsf { \textbf{x = 7}}}} \\ [/tex]


Related Questions

Figure out what x and y are. Please explain well!

Answers

Answer:

(2y+50)+(7x-248)=180    (solve for x and y)    supplementary angles add up to 180 and these two angles are supplementary complements

(5y-17) + (x+44) = 180   (solve for x and y)

Step-by-step explanation:

What is the prime factorization of 235

Answers

Answer:

5 x 47

Step-by-step explanation:

Hope this helps! <3

Answer:The prime factorization of 235 = 5•47.Step-by-step explanation:

The number 235 is a composite number because 235 can be divided by 1, by itself and at least by 5 and 47. So, it is possible to draw its prime tree.

The prime factorization of 235 = 5•47.

hope this help! ^^

Please help, due in 6 hrs (will mark brainliest and giving 85 points) will ask seperate question for the 85 points

Answers

Answer: If I'm being honest I only know parts A and B.

A. (4, 19) and (7, 7).

B. 4/1 or just 4.

Step-by-step explanation:

B. From point (7, 7) to (6, 11) is up 4 and left 1, rise over run is how you write the slope so it would be written as 4/1. Depending on you're teacher you can just put 4 and it can be correct, so, 4/1 or just 4.

A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?

Answers

Answer:

170

Step-by-step explanation:

you have to set up a proportion and cross multiply.

[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]

that would cross multiply to

[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]

which would simplify to

[tex]1020 = 6x[/tex]

then, you isolate x by dividing 6 from both sides to get the final answer of

[tex]170 \: miles = x[/tex]

These ordered pairs represent a proportional relationship. Use the interactive and the constant of proportionality to find the missing coordinates for the ordered pairs.

(3, 9), (A, 12), (5, 15), (6, B)

A =
B =

Answers

3,A,5,6 = A
9,12,15,B= B

Answer:

A=4 B=18

Step-by-step explanation:

plzzz help

-7/9 times 9/8 in fraction form

Answers

Answer:

7/8 (simplified)

Step-by-step explanation:

Answer:

-7/8

Step-by-step explanation:

-7/9*9/8

Simplify

-7/1*1/8=

-7/8

A plant is already 15.00 meters tall, and it will grow 9 centimeters every month. The plant's height, H (In meters), after x months is given by the following
function.
H(x) = 15.00 +0.09x
What is the plant's height after 30 months

Answers

Answer:

17.7 meters

Step-by-step explanation:

x = 30

15 + 0.09*30

0.09*30 = 2.7

2.7 + 15 = 17.7 meters

Find the slope of the line that passes through the points (2,6 ) and ( 4 , 12)

Answers

Answer:

3

Step-by-step explanation:

slope is rise over run. to find the rise subtract the second y value from the first. 12-6=6. Now let’s find the run. subtract the second x value from the first. 4-2=2. now the answer is 6/2=3 the slope of this line would be 3.

х
0
3
6
9
12
у
10
19
28
37
Slope m=
Y-intercept b =
Equation

Answers

Answer:

no

Step-by-step explanation:

Landon is going to use a computer at an internet cafe. The cafe has an initial charge of $10 to use a computer and an additional charge of $0.80 for every minute of use. Write an equation for C , C, in terms of t , t, representing the total cost of using a computer for t t minutes at the internet cafe.

Answers

Answer:0.80t+10

Step-by-step explanation:

Which function has exactly three distinct real zeros? A. h(x) = (x − 9)2(x − 4)2 B. h(x) = x(x + 7)2 C. h(x) = (x − 3)(x + 1)(x + 3)(x + 8) D. h(x) = (x − 2)2(x + 4)(x − 1)

Answers

Answer: D is the correct answer .

D. h(x)= (x-2)^2(x+4)(x-1)

Step-by-step explanation: For Plato users the correct answer is D .

The function which has three distinct zeroes is h(x) = (x − 2)²(x + 4)(x − 1), the correct option is D.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The zeroes of the function are the point at which the function value becomes 0.

The function which have three distinct real zeroes is

h(x) = (x − 2)²(x + 4)(x − 1)

(x-2)² = 0

x = 2

(x+4) = 0

x = -4

x-1 = 0

x = 1

To know more about Function

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:( CAN SOMEONE PLEASE HELP ME

Answers

Answer:

I think that Nick is correct because you are going to have to make your answer positive and when you do the two fractions -4/9 + -6/9 are going to be   6/9 + 4/9 and there is already a addition sign in the last problem we are just going to keep it there. And when we add we get 10/9 or 1 1/9

If i get it wrong please don't hate im just in 7 grade ok :(

Answer:

Solution given:

Gobriella is correct.

Nick change - to + in second line.

Photons of red light have a wavelength of approximately $7\times 10^{-7}$ meters. The energy of a photon is inversely proportional to its wavelength. A photon with 2000 times the energy as a photon of red light will have a wavelength that can be written as $a\cdot 10^b$ meters, where $1\le a < 10$. (In other words, in scientific notation.) What is $a+b$ written as a decimal?

Answers

Answer:2.97 ×10 − 19 J

Noah walks to school from home by going 7 blocks north, to a post office, and then 24 blocks east. Noah's home, point H, is at (0,0); the post office, point P, is at (0,7); and the school, point S, is at (24,7). If Noah then walks home using the direct path, what would be the total distance Noah traveled to school and back home?

Answers

Answer:

25

Step-by-step explanation:

The total distance Noah traveled to school and back home will be Noah's displacement. Displacement of Noah can be gotten using Pythagoras theorem.

d² = y²+x²

Direction through north (along y-axis)

Direction through east (along x-axis)

Given

y = 7units

x = 24units

Substitute

d² = 24²+7²

d² = 576+49

d² = 625

d = √625

d = 25 units

Hence the total distance Noah traveled to school and back home is 25blocks from post office

help solve 90 please​

Answers

Answer:

c=263

Step-by-step explanation:

Nestor works at a garden center where he posts plants. It takes him 2 1/2 hours to pot 15 plants. How many plants can Nestor pot in 1 hour? * how many plants can he pot in 1 hour?

Answers

Answer:

Nestor can pot 6 plants in 1 hour.

Step-by-step explanation:

first lets convert 2 1/2 hours in mixed fraction form for better calculation

2 1/2 hours = (2*2 + 1)/2 = 5/2 hours

no of plants pot in  5/2 hours = 15

to find no. of plants pot in 1 hours lets

divide both side by 5/2

no of plants pot in  5/2/(5/2)  hours = 15/(5/2) = 15*2/5 = 6

no. of plants pot in 1 hour = 6

Thus, Nestor can pot 6 plants in 1 hour.

The functions below represent the amounts of water released from two reservoirs over x weeks: Reservoir A f(x) = x2 – 7x + 5 Reservoir B g(x) = 3x2 – 6x + 2 The function h(x) = f(x) – g(x) represents the difference in the amounts of water released. Determine which statements about h(x) and about the reservoirs are true. Check all that apply.

Answers

Answer:

Step-by-step explanation:

Find the option below:

h(x) = –2x2 – 13x + 6

h(x) = –2x2 – x + 3

Reservoir A releases less water than Reservoir B over 1 week.

Reservoir A releases the same amount of water as Reservoir B over 1 week.

Reservoir A releases more water than Reservoir B over 1 week.

Given the expressions

Reservoir A f(x) = x^2 – 7x + 5

Reservoir B g(x) = 3x^2 – 6x+2

We are to find the f=difference between the functions h(x) = f(x)-g(x)

Substitute

h(x) =  x^2 – 7x + 5 -(3x^2 – 6x+2)

h(x) =  x^2 – 7x + 5 -3x^2 +6x-2

collect like terms

h(x) =  x^2 -3x^2 +6x– 7x+ 5-2

h(x)= -2x^2-x+3

Next is to know the amount of water released by Reservoir A after 1 week. To do that we will substitute x = 1 into h(x)

h(x)= -2x^2-x+3

h(1)= -2(1)^2-1+3

h(1)= -2-1+3

h(x)= -3+3

h(x)= 0

This shows that Reservoir A releases the same amount of water as Reservoir B over 1 week

Answer:

a,c,b

Step-by-step explanation:

i took the test

Which of the following statements demonstrates the identity property of multiplication?
A.-5(18) = -5(20 - 2)
B. (-4)(1) = 4
C.7.-8=.8.7
D.9.(2.7) = (92) - 7

Answers

Answer:

B i think

Step-by-step explanation:

The product of 1 and any number is the number (hence why it is most likely b). But instead of it being 4, it would be -4 because multiplying a negative by a positive results in a negative.

How do you calculate the x-intercept of a line written in Standard Form?

Answers

To calculate the x-intercept of a line written in standard form you simply remove the "y" and solve for x. And you remove the "x" when solving for y.

y=0 , solve for x
x=0 , solve for y


Here is an example: (solving for x)

2x + 3y = 6
2x + 3(0) = 6
2x = 6
2x/2 = 6/2
x = 3

Here is an example: (solving for y)

2x + 3y = 6
2(0) + 3y = 6
3y = 6
3y/3 = 6/3
y = 2

1.) plz Find the measure of angle B
B
65
30
A
с
O x = 80
X = 85
O x = 90
O x = 95

Answers

X=85

I hope this helps

Answer:

eu acho que é a C

e um belo dia abençoado

A puppy weighs 3 pounds what is the puppy's weight in ounces

Answers

Answer:

48 onces

Step-by-step explanation:

Answer:

48 ounces.

Step-by-step explanation:

Dan has 4 over 5 cup of ice cream. How many 1 over 8 -cup servings are in 4 over 5 cup of ice cream?


A. 6 and 2 over 5

B. 6 and 1 over 2

C. 8 and 2 over 5

D. 8 and 1 over 2

Answers

Answer:

it is A

Step-by-step explanation:

you have to do Keep Change Flip on the step one that's on the picture 4 * 8 equals 32 five of the nominator * 1 equals 5 the answer is 32/5 they are asking another way to explain this answer. 6 2/5 is the answer because 5 times 6 =30 plus 2 thats on the top = 32/5

The answer is B 6 4/8 is also 6 1/2

PLZ HELP EASY QUESTION
Are days and months capitalized in Spanish?
Yes
No

Answers

no, they are treated as regular nouns
Hey :)

No, they aren’t capitalised

Hope this helps :)

Suppose that 90% of all dialysis patients will survive for at least 5 years. In a simple random sample of 100 new dialysis patients, what is the probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places

Answers

Answer:

The  probability   [tex]P(\^ p > 0.80) = 0.99957[/tex]

Step-by-step explanation:

From the question we are told that

     The population proportion is  p  =  0.90

     The sample size is  n  =  30

  Generally mean of the sampling distribution is  [tex]\mu_{\= x } = p = 0.90[/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma = \sqrt{\frac{p( -p )}{n} }[/tex]

=>    [tex]\sigma = \sqrt{\frac{0.90( 1 -0.90 )}{100} }[/tex]

=>    [tex]\sigma = 0.03[/tex]

Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as

       [tex]P(\^ p > 0.80) = P(\frac{ \^ p - p }{ \sigma } > \frac{0.80 - 0.90}{0.03} )[/tex]

Generally [tex]\frac{\^p - p}{\sigma} = Z(The standardized \ value \ of \^ p)[/tex]

So  

    [tex]P(\^ p > 0.80) = P(Z > -3.33 )[/tex]

From the z-table [tex]P(Z > -3.33 ) = 0.99957[/tex]

So

    [tex]P(\^ p > 0.80) = 0.99957[/tex]

FIRST CORRECT ANSWER GETS BRAINLIEST!
Kate is planning a trip to the beach. She estimates her average speed to graph her expected progress on the trip. Write an equation in slope-intercept form that represents the situation.




slope (m):


y-intercept (b):


equation:

Answers

Answer:

Slope = -60 miles per hour

y-intercept = 300 mi.

Equation of the line → y = -60x + 300

Step-by-step explanation:

Let the equation representing relation between the distance to beach and time taken is,

y = mx + b

Where, m = slope of the line = Average speed of Kate

y = Distance to the beach

x = time taken

b = Distance from the beach at t = 0

Slope of a line joining points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope the line joining (5, 0) and (0, 300),

Slope 'm' = [tex]\frac{300-0}{0-5}[/tex] = -60 miles per hour

y intercept 'b' = 300 mi.

So the equation will be,

y = -60x + 300

a) (i) Write down the value of angle x.
71° z
X=
(ii) Give a reason for your answer.
b) (i) Write down the value of angle y.
y =
(ii) Give a reason for your answer.
y
х
65°
c) Work out the size of angle z.
o
Z=

Answers

Step-by-step explanation:

hope this helps you!! :))

The value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

What is angle ?

Angle is the space between two lines or surfaces that meet, and is  measured in degrees.

So,

According to the question;

[tex]\angle x =65^0[/tex]

([tex]\angle x[/tex]  is vertically opposite of the given angle  [tex]65^0[/tex])

[tex]\angle y = 71^0[/tex]

(Because when a transversal line intersects two parallel lines then each pair of alternate interior angles is equal.)

We know that,

Sum of all angles of triangle is equals to [tex]180^0[/tex].

i.e.

[tex]x+y+z=180^0[/tex]

we have,

[tex]65+71+z=180[/tex]

[tex]z=180-136[/tex]

[tex]z=44^0[/tex]

So, the value of [tex]z[/tex] is [tex]44^0[/tex].

Hence, we can say that the value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

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Find the slope of the line passing through the points (3,7) and (3,-5).

Answers

Answer:

I believe the slope of the line passing through the points is x= -3

PLS HELP ILL MARK YOU BRAINEST THIS IS DUE IN 30 minssss

Answers

(C) Infinitely many solutions

This is how it is solved :

13(y+3)=13y+39

Step 1: Simplify both sides of the equation.

13(y+3)=13y+39

(13)(y)+(13)(3)=13y+39(Distribute)

13y+39=13y+39

Step 2: Subtract 13y from both sides.

13y+39−13y=13y+39−13y

39=39

Step 3: Subtract 39 from both sides.

39−39=39−39

0 = 0

Hence we say that 13(y+3)=13y+39 will have infinitely many solutions .

Dianne drew a triangle with coordinates (1,3), (3,2) and (4,2) she drew an image of the triangle with coordinates (21,3) ,(23,2) and (24,2) how did she make the image

Answers

Answer:

i

Step-by-step explanation:

dk

54/x = 9/7

What does X=

Answers

Answer:

the answer is 42.

Step-by-step explanation:

9 times 6 is 54.

7 times 6 is 42.

Answer:

It'd be 486/7 or 69 and 3/7

Step-by-step explanation:

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