What is the value of x in the equation 3x - y = 18, when y = 27?

Answers

Answer 1

Answer:

Substitute in the y-value to the equation:

[tex]3x-y=18\\\\3x-27=18\\\\3x=18+27\\\\3x=45\\\\x=15[/tex]

Therefore, the value of x is 15.

Answer 2

Answer:

x=15

Step-by-step explanation:

3x - y = 18

Let y= 27

3x - 27 = 18

Add 27 to each side

3x-27+27 = 18+27

3x= 45

Divide each side by 3

3x/3 = 45/3

x = 15


Related Questions

can someone help me with this ? please and thank you

Answers

Answer:

(a), (c) and (d)

Step-by-step explanation:

Required

Which is linear

A linear function is represented as any of:

[tex]y = mx + b[/tex]

[tex]y - y_1= m(x - x_1)[/tex]

[tex](a)\ 8x - 3y = 2[/tex]

Rewrite as:

[tex]- 3y = -8x+2[/tex]

Divide by -3

[tex]y = \frac{8}{3}x - \frac{2}{3}[/tex] -- by comparison to [tex]y = mx + b[/tex], this is linear

[tex](b)\ y = |x - 4|-7[/tex]

This is an absolute function. It is not linear

[tex](c)\ y + 8=5(x - 4)[/tex]

By comparison to [tex]y - y_1= m(x - x_1)[/tex], this is linear

[tex](d)\ y = -7[/tex]

by comparison to [tex]y = mx + b[/tex], this is linear because [tex]m= 0[/tex]

Others are not linear

Anyone know the answer?? Help pls!

Answers

Answer:

A

Step-by-step explanation:

The answer would be "The point where three medians of triangle intersect.

Please mark me as brainliest

Answer: A

Step-by-step explanation:

What is the value of x if e^3x+6 =8? Answer:

Answers

Answer:

[tex]\displaystyle x = \frac{ln2}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra II

Natural logarithms ln and Euler's number eLogarithmic Property [Exponential]:                                                                [tex]\displaystyle log(a^b) = b \cdot log(a)[/tex]Solving logarithmic equations

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle e^{3x} + 6 = 8[/tex]

Step 2: Solve for x

[Equality Property] Isolate x term:                                                                   [tex]\displaystyle e^{3x} = 2[/tex][Equality Property] ln both sides:                                                                    [tex]\displaystyle lne^{3x} = ln2[/tex]Rewrite [Logarithmic Property - Exponential]:                                                [tex]\displaystyle 3xlne = ln2[/tex]Simplify:                                                                                                             [tex]\displaystyle 3x = ln2[/tex][Equality Property] Isolate x:                                                                            [tex]\displaystyle x = \frac{ln2}{3}[/tex]

Answer:

x = 1/3 ln(2) or approximately 0.23104

Step-by-step explanation:

e^3x+6 =8

Subtract 6 from each side

e^3x+6-6 =8-6

e^3x =2

Take the natural log of each side

ln( e^3x) =ln(2)

3x = ln(2)

divide by 3

3x/3 = 1/3 ln(2)

x = 1/3 ln(2)

x is approximately 0.23104

FOR EASY BRAINLIEST ANSWER AND EXPLAIN!! ASAP

QUESTION: A 30minute radio program, the entertainment portion lasts 2 minutes longer than 3 times the duration of the commercial portion. How much is devoted to commercials during the 30 minutes

Answers

Answer:

Step-by-step explanation:

we know that the total time of the show is 30 minutes.  

commercial part = 3x+2

entertainment part = y

also we know that   y = 3x +2

y + 3x+2 = 30

we can also say that

2(3(x) +2) = 30

so then

6x +4 = 30

6x = 26

x = 4[tex]\frac{1}{3}[/tex]

4[tex]\frac{1}{3}[/tex]  is the time in minutes for commercials

A 24-ounce package of frozen peas costs $1.01. Give the unit price in cents per ounce. Round to the nearest tenth of a cent.

Answers

Answer:

4.2 cents

Step-by-step explanation:

Take the total cost and divide by the number of ounces

1.01 /24

0.04208

Round to the nearest tenth of a cent ( 3 decimal places)

0.042

4.2 cents

PLEASE NEED HELP ASAP WILL MARK BRAINLIEST Question 2 of 10
Before radar and sonar, sailors would climb to the top of their ships to watch
for land or changes in weather. If the lookout at the top of the mast can see
an island five miles away, about how tall is the mast? Round your answer to
the nearest whole number if necessary. Use the formula for the relationship
between height (h) and visibility, how far you can see, (d):

O A. 30 feet
O B. 11 feet
O C. 36 feet
O D. 61 feet

Answers

Answer:

36

Step-by-step explanation:

Answer:

36 feet

Step-by-step explanation:

I can confirm that 36 feet is the correct answer. as seen below, I was able to get 100%

Please help out with this question..

Answers

Answer:

Step-by-step explanation:

C = 16 * 3 = 48

If the discriminant of an equation is zero, which of the following is true of the equation?​

Answers

[tex]\sf Your \: question \: is \: incomplete. \: [/tex]

______________________

[tex]\sf \: I \: believe \: this \: is \: the \: answer \: you \: wanted[/tex] ⟹

[tex]\sf If \: the \: discriminant \: of \: an \: equation \: is \: zero, \: then \\ \sf \: the \: equation \: will \: have \:\underline{ 1 \: real \: solution \: with \: real \: and \: equal \: roots}.[/tex]

[tex]\boxed{ \sf{Explanation}} [/tex]

[tex]\sf If \: discriminant \: of \: quadratic \: equation \: ax^{2} + bx + c \: \\ \sf is \: b^{2} - 4ac = 0 \: then \: it \: will \: have \\ \sf↦\underline{1 \: real \: solution \: with \: real \: and \: equal \: roots.} [/tex]

Answer:

see explanation

Step-by-step explanation:

If b² - 4ac = 0

Then the roots are real and equal

Can someone help me with this math homework please!

Answers

Answer:

4

Step-by-step explanation:

A line with 0 slope is parallel to x axis and it must have the same y coordinates

Answer:

4

Step-by-step explanation:

( 3, b ) and ( - 2, 4 )

x1 y1 x2 y2

Here,

x1 = y1 = 0

x2 = - 2

y2 = 4

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 4 - b ) / ( - 2 - 3 )

0 = ( 4 - b ) / - 5

4 - b = - 5 x 0

4 - b = 0

4 = b

b = 4

The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
x
V10
21:32
Submit Answer
Answer: =
s
attempt 1 out of 2
CAN SOMEONE HELP ME PLS

Answers

Answer:

x=2*sqrt(5)

Step-by-step explanation:

Since the triangle is isosceles, the other side (not x) is sqrt(10). Using Pythagoras, we have 10+10=x^2, x=2*sqrt(5)

What is the measure of angle x? Please help asap! Khan academy question!

Answers

Answer:

38°

Step-by-step explanation:

90-58

I'm unsure if that's right but i think it is. otherwise 180-58 but angle x should be the rest of the angle in KAI

Answer:

[tex]\boxed{\boxed{\tt \angle x=32^{\circ}}}[/tex]

Step-by-step explanation:

From the diagram given, we know that ∠BAC and ∠IAK are vertical angles.

*Vertical angles are two lines that intersect each other.*

So ∠BAC is equal to ∠IAK.

[tex]\tt \overline{KL} \perp \overline{FG}[/tex] so, ∠ABC =90°

(Interior angles in a triangle always add up to 180°).

[tex]\tt \angle BAC+\angle ABC+\angle BCA=180^{\circ}[/tex]

[tex]\tt 58+90+\angle BCA=180^{\circ}[/tex]

[tex]\tt \angle BCA=32^{\circ}[/tex]

∠BCA and ∠x are vertical angles, therefore they are congruent.

∠BCA and ∠x= 32°

______________________________________

ds
Given the velocity v =
dt
and the initial position of a body moving along a coordinate line, find the body's position at time t.
v = 9.8t + 12, s(0) = 20

Answers

Answer:

so the answer is I don't know

△ABCis reflected to form​​ ​△A′B′C′​. The vertices of △ABC are A(3, 1), B(1, 5), and C(6, 9). The vertices of △A′B′C′ are A′(−1, −3), B′(−5, −1), and C′(−9, −6). Which reflection results in the transformation of ​△ABC​​ to ​△A′B′C′​​? Reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x I NEED HELP PLS The answer choies are: A. Reflection across the x-axis B. Reflection across the y-axis C. Reflection across y = x D. Reflection across y=−x

Answers

Answer:  D) reflection across y = -x

Explanation:

When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).

When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is [tex](x,y) \to (-y,-x)[/tex]

So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).

Similarly, B(1,5) moves to B ' (-5, -1)

Finally, C(6,9) becomes C ' (-9, -6)

Please hurry I will mark you brainliest

What is the equation of the line with a slope of -3 and a y-intercept of 4?

Answers

Answer:

y = -3x+4

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y intercept

y = -3x+4

What is the name for the marked angel ?

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is <ead

please mark me brainliest

2X. (3x - 2y + 4z) con proceso porfavor, ayuda

Answers

[tex]\bf \large \rightarrow \: \: 2x \: ( \: 3x \: - \: 2y \: + \: 4z \: )[/tex]

[tex]\bf \large \rightarrow \: \:6 {x}^{2} \: - \: 6y \: + \: 8x z[/tex]

Espero que te sea de ayuda.


Find the missing side or angle.
Round to the nearest tenth.
b=3
a=9
c=11
C= ?

Answers

Answer:

C=125°

Step-by-step explanation:

Hi there!

To find angle C, we can use the cosine law:

[tex]cosC=\frac{a^2+b^2-c^2}{2ab}[/tex]

Plug in the given information

[tex]cosC=\frac{9^2+3^2-11^2}{2(9)(3)}[/tex]

[tex]cosC=\frac{-31}{54}[/tex]

[tex]C=cos^-^1(\frac{-31}{54})[/tex]

[tex]C=cos^-^1(\frac{-31}{54})\\C=125[/tex]

Therefore, angle C is approximately 125 degrees.

I hope this helps!

Which of the following is true?
(A)The baby is male/female is determined by mother’s chromosome.
(B) The baby is male/female is determined by father’s chromosome.
(C) Pair of Mother’s chromosome is X-Y .
(D) Pair of Father’s chromosome is X-X .

Answers

Answer:

(B) The baby is male/female is determined by father’s chromosome.

Step-by-step explanation:

Men determine the sex of a baby depending on whether their sperm is carrying an X or Y chromosome.

Answer:

hi i hope it helps you

Step-by-step explanation:

please mark brainlist and like

thanks

and have a nice day.

De los 30 balones de un colegio, dos quintos son de fútbol, un tercio de baloncesto y el resto de voleibol. ¿Cuántos balones de voleibol hay en el colegio? ayuda es para hoy ;(​

Answers

Answer:

Number of Volleyballs = 8 balls

Step-by-step explanation:

Given:

Total number of balls = 30 balls

Fraction of soccer ball = 2/5 balls

Fraction of basketball = 1/3 balls

Rest are Volleyballs

Find:

Number of Volleyballs

Computation:

Number of Volleyballs = Total number of balls - Total number soccer balls - Total number of basketballs  

Number of Volleyballs = 30 - (30)(2/5) - (30)(1/3)

Number of Volleyballs = 30 - 12 - 10

Number of Volleyballs = 30 - 22

Number of Volleyballs = 8 balls

Find square root of 0.0324

Answers

Answer:

0.18

Step-by-step explanation:

The angle between the top of a building and a point 80 feet away from the base (on level ground) is 70° . To the nearest foot, how tall is the building?

Answers

Answer: 220 feet tall

Step-by-step explanation:

1. Draw!

2. Use trigonometric ratios to solve for the height (Remember SOH CAH TOA)

Answer:

The building is 220 ft tall

Step-by-step explanation:

How do I simplify this? With steps please :)

Answers

Answer:

[tex]{ \tt{ = \frac{ {p}^{2} + 8p + 16 }{ {p}^{2} - 16 } }} \\ \\ = { \tt{ \frac{ {(x + 4)}^{2} }{(x - 4)(x + 4)} }} \\ \\ = { \tt{ \frac{(x + 4)}{(x - 4)} }}[/tex]

A company made a profit of $90,000 in the year 2006. In 2010, the same company made a total profit of $135,000. If the rate of change is a constant, what is the average rate of change of the company’s profit in dollars per year? HELP

Answers

Answer:

Average rate of change = $11250 per year.

Step-by-step explanation:

Let's take two points from given information (2006, 90000) and (2010, 135000).

Now, use slope formula to find slope.

Slope =[tex]\frac{y2-y1}{x2-x1}[/tex]

Use the two points to find average rate of change (slope)

Average rate of change =[tex]\frac{135000-90000}{2010-2006}[/tex]

                                        =[tex]\frac{45000}{4}[/tex]

                                       =11250

Average rate of change = $11250 per year.

A number is equal to three times the smaller number also the sum of the smaller number and four is the larger number situation is graft on the coordinate plane below where X represents the smaller number and Y represents the larger number which two equations represent the situation

Answers

Answer:

this question is missing needed information

Two thousand numbers are selected randomly; 960 were even numbers. At the 0.10 level of significance, determine whether the proportion of odd numbers is significantly different from 50%.

Answers

Answer:

The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.

Step-by-step explanation:

Test if the proportion of odd numbers is significantly different from 50%.

At the null hypothesis, we test if the proportion is of 0.5, that is:

[tex]H_0: p = 0.5[/tex]

At the alternative hypothesis, we test if the proportion differs from 0.5, that is:

[tex]H_1: p \neq 0.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5(1-0.5)} = 0.5[/tex]

Two thousand numbers are selected randomly; 960 were even numbers.

This means that [tex]n = 2000, X = \frac{960}{2000} = 0.48[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.48 - 0.5}{\frac{0.5}{\sqrt{2000}}}[/tex]

[tex]z = -1.79[/tex]

P-value of the test and decision:

The p-value of the test is the probability that the sample proportion differs from 0.5 by at least |0.48-0.5| = 0.02, which is P(|z|<1.79), which is 2 multiplied by the p-value of z = -1.79.

Looking at the z-table, z = -1.79 has a p-value of 0.0367

2*0.0367 = 0.0734

The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.

order the set of irrational numbers from least to greatest

Answers

Answer:

answer is A

hope it helps please mark as brainliest answer and give me thanks

#Dhruv here

evaluate and solve: y + 3 = –y + 9

Answers

The value of y is 3.

Answer:

Solution given;

: y + 3 = –y + 9

add +y on both term

y+y+3=-y+y+9

subtract both side by 3

2y+3-3=9-3

2y=6

divide both side by 2

2y/2=6/2

y=3

Answer:

y = 3

Step-by-step explanation:

y + 3 = –y + 9

Add y to each side

y+y + 3 = –y +y+ 9

2y +3 = 9

Subtract 3 from each side

2y+3-3 = 9-3

2y = 6

Divide by 2

2y/2 = 6/2

y = 3

Let f(x) = 3x − 2 and g(x) = x + 1. Find (g ∘ f)(2).
Help plsssssssssssssssss

Answers

Answer:

(g ∘ f)(2) =5

Step-by-step explanation:

f(x) = 3x − 2

g(x) = x + 1

(g ∘ f)(2).

Find f(2) = 3(2) -2 = 6-2 = 4

Then find g(4) = 4+1 = 5

A rectangle has a length (x+3)cm and a width (x-1)cm . Given that the rectangle is 24 cm^2. Find the value of x

Answers

Answer:

4.292

Step-by-step explanation:

(x+3)(x-1)=24

expand

x²+2x-3=24

x²+2x-27=0

Using the quadratic formula..

[tex]\frac{-2+\sqrt{2^2-4*1*-27}}{2}=\frac{-2+10.5830052443}{2}=4.292[/tex]

there is another answer, but it doesn't make sense in the context of this question

the un-rounded answer is 4.29150262215

At what x-value are the equations equal?​

Answers

Answer:

x=2 is the answer to your question

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