18. Find the value of x that makes the equation true.

18. Find The Value Of X That Makes The Equation True.

Answers

Answer 1

Step-by-step explanation:

✧ [tex] \large{ \tt{ \: \frac{1}{2} x + 2 = \frac{3}{2} x - 6}}[/tex]

We need to get rid of the fractions. Notice that there are 4 terms in the equation. Multiply both sides of the equation by 2 to get rid of the fractions. Multiply by 2 because 2 is the denominator.

⤑ [tex] \large{ \tt{2( \frac{1}{2} x + 2) = 2( \frac{3}{2} x - 6)}}[/tex]

⤑ [tex] \large{ \tt{x + 4 = 3x - 12}}[/tex]

Subtract 4 from both sides in order to isolate the variable on the left.

⤑ [tex] \large{ \tt{x + 4 - 4 = 3x - 12 - 4}}[/tex]

⤑[tex] \large{ \tt{x = 3x - 16}}[/tex]

Move 3x to left hand side and change it's sign

⤑[tex] \large {\tt{x - 3x = - 16}}[/tex]

Subtract 3x from 1x

⤑ [tex] \large{ \tt{ - 2x = - 16}}[/tex]

Divide both sides of the equation by -2

⤑ [tex] \large{ \tt{ \frac{ - 2x}{ - 2} = \frac{ - 16}{ - 2}}} [/tex]

⤑ [tex] \large{ \tt{x = 8}}[/tex]

[tex] \boxed{ \boxed{ \underline{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \tt{x = 8}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Related Questions

(m2 – 7m – 6) (7m2 – 3m – 7)
PLZ HELP URGENT WILL GIVE BRAINLIEST

Answers

Answer:

7m^4-52m^3-28m^2+67m+42

Answer:

Step-by-step explanation:

In ΔRST, the measure of ∠T=90°, TR = 58 feet, and ST = 19 feet. Find the measure of ∠S to the nearest degree

Answers

Answer: 72

Step-by-step explanation:

\tan S = \frac{58}{19}

tanS=

19

58

S=\tan^{-1}(\frac{58}{19})

S=tan

−1

(

19

58

)

S=71.862\approx 72^{\circ}

S=71.862≈72

Answer:

72

Step-by-step explanation:

delta math said it was correct

Zach has a box with a volume of 48 cubic units. Which could be the dimensions of Zach's box?
Select all that apply.


A. 2 units wide, 3 units long, 8 units tall

B. 5 units wide, 8 units long, 1 unit tall

C. 4 units wide, 6 units long, 2 units tall

D. 3 units wide, 5 units long, 3 units tall

Answers

A: 2 units wide, 3 units long, 8 units tall.
C: 4 units wide, 6 units long, 3 units tall.

Hope this helps!

The volume is ___ cubic cm.

Answers

Answer:

Step-by-step explanation:

This looked very difficult UNTIL I looked at the pyramid as ONE HALF of a larger pyramid!    Image a mirror image of the pyramid creating a pyramid that is 12 cm of the front and back side and 6 cm on the left and right edge.

IT IS NO LONGER A SQUARE PYAMID so you need the volume for a rectanglar pyramid

The volume of a square pyramide is .....    

      V = side² × (height / 3)

The volume of a rectangular pyramide is .....    

      V = base area × (height / 3)      

         =  length × width × (height / 3)

         =  12 × 6 × 10 / 3    cm³        BUT REMEMBER we want only HALF of the

         = [12 × 3 × 10] divide by 2 cm³          Rectangular pyamid

Volume of the image shown in the diagram is ....

          = 360 / 2  cm³

          = 180 cm³    <-----------------  Final Answer

Answer:

120

Step-by-step explanation:

I calculated it on Goggle

plz help highly appreciated,...will mark.

Answers

Answer:

2nd, 3rd and 5th

Step-by-step explanation:

In an animal sanctuary, there are 48 deer and 64 monkeys. Find the ratio of deer to monkeys.​

Answers

3:4
EXPLANATION: it is 48:64 but you simplify it and you get 3:4 because you divide it by the GCF of 48 and 64, which is 16.
48/16=3
64/16=4
soooooo 3:4

Whats up ReaperGodofDeath which one Black butler or Black clover

Answers

Answer: ??????????????

Step-by-step explanation:

Answer:

BLACK BUTLER cause we Reapers gotta stick together

Step-by-step explanation:

Colin and April both thought of six numbers. Colin's first number was 0, and April's first number was 10. Colin added 1 each time to get his other numbers. April subtracted 2 each time to get her other numbers. Which statements are correct? Select three that apply.
April's second number was 8.
April's sixth number was the same as Colin's first number.
April's fourth number was 3.
Colin's third number was 2.
Colin's sixth number was the same as April's first number.
Colin's fifth number was 5.

Answers

Answer:

aprils second number was 8

Step-by-step explanation:

Answer:

i think the other one is F

Step-by-step explanation:

Select all the statements that are true about rhombus MNPQ.​

Answers

Answer:

your answer will be option A and B

Step-by-step explanation:

hope it helps u

have a wonderful day/night

I’ll give you 30 points for this .

Answers

The Lockheed Martin X-35 was a concept demonstrator aircraft (CDA) developed by Lockheed Martin for the Joint Strike Fighter program. The X-35 was declared winner over the competing Boeing X-32 and a developed, armed version went on to enter production in the early 21st century as the F-35 Lightning II.

What is the only difference when solving inequalities?

Answers

Answer:

If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!

Step-by-step explanation:

Answer:

The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!

This graph represents a linear function.

Select the equation represented by the graph.


A) y=x−2/3

B) y=−2/3x+1

C) y=−3/2x+1

D) y=x−3/2

Answers

It would be B because you start at 1 on the y-axis. Then from that point you go up 2 and left 3. So the 3 would be negative and the 2 would be positive

Your friend is looking at laptops for college, and is comparing the different
screen sizes. Use the diagram and formula below to find the height of the
laptop screen. Round your answer to the tenths place.
d = √w²+
d= 13.3in
h
w = 11.3
A. h = 7.0 inches
B. h = 12.9 inches
C. h = 10.7 inches
D. h = 9.9 inches

Answers

Given:

[tex]d = 13.3\ in[/tex]

[tex]w = 11.3\ in[/tex]

[tex]d=\sqrt{w^2+h^2}[/tex]

To find:

The value of h.

Solution:

We have,

[tex]d=\sqrt{w^2+h^2}[/tex]

Substituting [tex]d = 13.3, w = 11.3[/tex], we get

[tex]13.3=\sqrt{11.3^2+h^2}[/tex]

Taking square on both sides.

[tex]176.89=127.69+h^2[/tex]

[tex]176.89-127.69=h^2[/tex]

[tex]49.2=h^2[/tex]

Taking square root on both sides, we get

[tex]\pm 7.01427=h[/tex]

[tex]h\approx \pm 7[/tex]

Height cannot be negative so [tex]h=7\ in[/tex].

Therefore, the correct option is A.

Which expression can be simplified as 1/18 n?

Answers

The answer is D. (n ^-3)^6. Hope this helps

help i forgot how to solve this
(i dont want u to give me the answer i want u to tell me how to sovle it)

ayuda, olvidé cómo resolver esto
(No quiero que me des la respuesta, quiero que me digas cómo solucionarlo)

Answers

Answer:

A= 1/2 (b1 + b2)h

Step-by-step explanation:

A=area

b1 = base 1

b2 base 2

h = height

b1 = 24. b2= 12, h = 17

Substitute and solve!

The slope and the y-intercept of a line are -3/8 and 1/2 respectively. Write the equation of the line.​

Answers

Y = -3/8x + 1/2 would be the answer. You just need to plug in the numbers for y = mx + b where m is the slope and b is the y-intercept

this box plot shows information about the marks scored in a test

Answers

Answer:

Median : 58

LR : 72-32=40

Range = 86-10=76

Solve For X
A 3
B 30
C 60
D 90

Answers

Answer:

sln

10x+10x+30+90=180

20x+120=180

20x=180-120

20x=60

x=3

the answer is A) 3

A 15 ft tree casts a 9 foot shadow on the ground. What is the angle of elevation formed by the tree’s shadow and the sun? (Round to the nearest hundredth)

Answers

Answer:

59.04

Step-by-step explanation:

If you were to make a right triangle, 15 would be the altitude (height), and 9 would be the base. You need the angle of elevation which is going the angle of the hypotenuse going upwards. (Bottom Left/Right Corner.) From that angle you need to solve for arctan (Used for solving the measure of angle.) Simply plug into your calculator arctan(15/9) to get the answer.



3. The scatter plot shows the number of hits and home runs for 20 baseball players who had at least 10 hits last season. The table shows the values for 15 of those players. The model, represented by y = 0.1x – 1.5, is graphed with a scatter plot.

hits
home runs
predicted home runs
12
2
0.3
22
1
1.8
154
26
21.6
145
11
20.3
110
16
15
57
3
7.1
149
17
20.9
29
2
2.9
13
1
0.5
18
1
1.2
86
15
11.4
163
31
23
115
13
15.8
57
16
7.1
96
10
12.9

Use the graph and the table to answer the questions.
a. Player B was the player who most outperformed the prediction. How many hits did Player B have last season?

Answers

Answer: 12

Step-by-step explanation:

The Franklin Family went on
a trip to the beach. They
spent $10.22 on fuel and
$15.98 on pizzas. How much
money did they spend in all?

Answers

Answer:

$26.2

Step-by-step explanation:

Add the numbers

$10.22+$15.98

The half life of a radioactive kind of cadmium is 14 years. How much will be left after 28 years, if you start with 72 grams of it?

Answers

Answer:

18 grams

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

28 divided by 14 equals 2

72 multiplied by 0.05^2 equals 18

Select the correct answer.
On average, Adrian's salary is 1.05 times the previous year's salary.
If Adrian Initially has $52,000 and n denotes the number of years, which recursive equation gives Adrian's annual income, f(n), as a function
the year?
O A. f(1) = 52,000
f(n) = 1.05 · (n − 1), for n > 2
OB. f(1) = 52,000
= 1.05 + f(n - 1), for n > 2
OC (1)
= 1.05
f(n) = 52,000 . f(n − 1), for n > 2
OD.
f(1) = 1.05
f(x) = 52,000 + f(n - 1), for n > 2

Answers

Answer: Answer A on Edmentum

Step-by-step explanation:

The correct option is First option i.e. f(1) = 52,000; f(n) = 1.2 · f(n - 1) - 0.30 · f(n - 1) + 2,300; for n ≥ 2

What is Percentage?

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

On average, his salary is 1.2 times the previous year's salary:

f(n)=1.2 X f(n-1)

30% of his income is budgeted for rent:

Rent: R = 30%f(n-1)

           = 30 X f(n-1)/100

        R = 0.30 X f(n-1)

In addition to his salary, Adrian's income increases by $2,300 each year as a result of gifts from family members:

Gifts: G=2,300

If Adrian initially has $52,000:

n=1, f(n)=f(1)=52,000

If n denotes the number of years, which recursive equation gives Adrian's annual income as a function of the year, f(n)?

f(1)=52,000

f(n)=1.2 X f(n-1)-R+G; for n ≥ 2

f(n)=1.2 X f(n-1)-0.30*f(n-1)+2,300; for n ≥ 2

Thus, the correct option is First option i.e. f(1) = 52,000; f(n) = 1.2 · f(n - 1) - 0.30 · f(n - 1) + 2,300; for n ≥ 2

Learn more about Percentage from:

https://brainly.com/question/13450942

#SPJ2

help! please don't get it wrong

Answers

C. because When you connect the two with a straight line for both answers eliminated the other three options. Hope this helps:)

144 pages in 3 minutes as a unit rate

Answers

144/3- 48
48pgs/min
Mark me Brainliest

If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of which will be 27 cm^2 smaller than the area of the rectangle. Find the area of the rectangle.

Answers

Answer:

252 centimeters squared is the answer.

The area of the rectangle is 252 cm².

What is a rectangle?

A rectangle is a plane shape that has pair of opposite sides and angles equal

To calculate the area of a rectangle, we use the formula below.

Formula:

Area of a rectangle(A) = Length(L)×Width(W).............. Equation 1

⇒ Let the length of the rectangle be x and the width of the rectangle be y.

If the length is decreased by 6 cm

new length = (x-6) cm

And if the width is increased by 3 cm

new width = (y+3) cm

Since the new length and the new width form a square,

Note: In a square, all sides are equal

(x-6) = (y+3)x = y+9...................... Equation 2

Also, The area of the new square formed is smaller than the area of the rectangle by 27 cm²

xy = (y+3)²+27............ Equation 3

Substitute these values of x in equation 2 into equation 3

(y+9)(y) = (y+3)²+27y²+9y = y²+6y+9+27y²+9y = y²+6y+36

Collect like terms

y²-y²+9y-6y = 363y = 36y = 36/3y = 12 cm.

Substitute the value of y into equation 1 to get x

x = 12+9x = 21 cm.

Area of a rectangle = Length×width = 12×21 = 252 cm²

Hence, The area of the rectangle is 252 cm².

Learn more about rectangles here: https://brainly.com/question/24571594

Solve the following equation:
1-31 x 8 = x
X =

Answers

Answer:

The square root of a negative number is not a real number

=

9

8

8

Step-by-step explanation:

Answer: -247

Step-by-step explanation:

Any help please maths :)

Answers

Answer:

D is the cubic function graph

Which equation can be used to represent the data in this table?
y=x−2

y = x + 2

y=12x

y = 2x please answer NOW IF YOU ARE IN K12 PLEASE HELP ME AND IF YOU NOW THE ANSWER I PROMISE I WILL GIVE BRANLIEST BUT PLEASE THIS ID FOR PEOPLE IN K12 OR IT DOESNT MATTER AT ALL IF YOU ARENT K12 AND YOU NOW THE ANSWER

Answers

ant Answer:

y=2x

Step-by-step explanation:

y=2x because you go up 2 and 1 to the right meaning, 2 x and 1 y

what's 100×60÷1×86-89​

Answers

Answer:

100×60 ÷ 1× 86-89

6,000 ÷ (-3)

-2000

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