+
II
alu
What is the value of x in the equation
x-2
3
1) 4
2) 6
3) 8
4) 11

+IIaluWhat Is The Value Of X In The Equationx-231) 42) 63) 84) 11

Answers

Answer 1

[tex]\dfrac{x-2}3 +\dfrac 16 = \dfrac 56 \\\\\implies \dfrac{x-2}3 = \dfrac 56 - \dfrac 16\\\\\implies \dfrac{x-2}3= \dfrac 46\\ \\\implies \dfrac{x-2}3 = \dfrac 23\\\\\implies x -2=2\\\\\implies x =2+2 = 4\\\\\text{Hence, the value of x is 4.}[/tex]


Related Questions

The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC

Answers

Answer:

A customer purchased a furniture for Rs. 3390 with 13% VAT . Find the cost of the furniture without VAT?

Please help me con la resolución porfa

Answers

Answer:

2,591 esta bien la respuesta

Gloria is an artist. She sets a goal to paint 2 pieces every month. She has already painted 5 pieces. The number of pieces that Gloria will paint will depend on how many months for which she paints. Which statements describe the total number of pieces "p" Gloria will have painted after "t" months, if she meets her goal? Select all the statements that are true.

Answers

Answer:

O The independent variable is T and P is the dependent variable

O The P increases by 2 as T increases by 1

No trolls or links or i will report

Answers

Answer:

92.4 ft²

Step-by-step explanation:

Total surface area comprises one rectangular base and two pairs of diferent triangles.

Area of rectangle

A = lw

Area of triangle

A = 1/2bh

Substitute and find

A = 7*4 + 2(1/2*4*6.3) + 2(1/2*7*5.6) = 92.4 ft²

Area of base rectangle

7(4)28ft²

Area of rest triangles

2(1/2BH)+2(1/2bh)BH+bh4(6.3)+7(5.6)64.56ft²

Now

TSA

64.56+2892.56ft²

Please help with the proportions word problem!!

Jillian wants to buy an $80 pair of boots. Before she can, the store raises the price by $24. By what percentage did they raise the price? Use proportions to solve the problem.

Answers

Answer:

30%

Step-by-step explanation:

the percent of 24 of 80 is 30% so they rasid the price 30% percent of 80

6th grader here sorry if wrong

All you need to is 80-24=56 so your answer is 56

Can someone please help

Answers

Ahhh, the graph! Such an interesting thing. I think I can help you...

The answer is B - (3, -4).

My explanation is this.

In an ordered pair (like the one I just mentioned), the x value and the y value are represented like so: (x, y.)

If you start from the middle of the graph, where the points intersect, if you count three lines over on the horizontal line, that's your x value. 3.

But for the y, since we're counting down on the vertical line, not up, we'll have a -4 instead of a positive.

Therefore the answer (3, -4)

I hope this answers your question.

-Toremi

The maximum weight for the elevator is 599 pounds. Write an inequality that shows the weight.w. it can hold.​

Answers

Answer:

599>w

Step-by-step explanation:

Since the max was 599 we need to show that the weight or w has to be less than 599

Answer:

599 ≥ w

Step-by-step explanation:

The other person is wrong

It can hold 599 pounds, and anything less than that, so we use this symbol

Determine co-ordinates of the mid point of a line segment with endpoints at: L(12,8) and M(18,2)

Answers

Step-by-step explanation:

the formula for the mid point is:

{(x1 + x2)/2 , (y1 + y2)/2}

so using the formula we get:

(15, 5)

also are you sure that the question wants the midpoint? since the answer is not included in the choices

Answer:

C(15,3)

Step-by-step explanation:

Midpoint = [tex]\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2}[/tex]

               = [tex]\frac{12_{}+18_{} }{2}, \frac{8_{}+2_{} }{2}[/tex]

               = 15,5 (which is closest to C, i think there is a mistake in the        question as there is only one formula to find midpoint so y coordinate has to be 5)

use the discriminate to determine how many solutions this equation has -8x^2-8x-2=0

Answers

Answer:

One solution

Step-by-step explanation:

Discriminant

[tex]\textsf{Discriminant}:b^2-4ac}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{If}\quad b^2-4ac=0 \implies \textsf{one solution}[/tex]

[tex]\textsf{If}\quad b^2-4ac > 0 \implies \textsf{two solutions}[/tex]

[tex]\textsf{If}\quad b^2-4ac < 0 \implies \textsf{no solutions}[/tex]

Given equation:

[tex]-8x^2-8x-2=0[/tex]

Swap sides:

[tex]\implies 8x^2+8x+2=0[/tex]

Using discriminant:

[tex]\implies b^2-4ac=8^2-4(8)(2)=0[/tex]

Therefore, there is one solution

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

Proof

[tex]8x^2+8x+2=0[/tex]

Divide both sides by 2:

[tex]\implies 4x^2+4x+1=0[/tex]

Separate the middle term:

[tex]\implies 4x^2+2x+2x+1=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies 2x(2x+1)+1(2x+1)=0[/tex]

Factor out the common term [tex](2x+1)[/tex]:

[tex]\implies (2x+1)(2x+1)=0[/tex]

Therefore:

[tex]\implies 2x+1=0[/tex]

[tex]\implies x=-\dfrac12[/tex]

Thus proving there is one solution.

-8x²-8x-2=0

Here

a=-8b=-8c=-2

Discriminate

D=b²-4acD=(-8)²-4(-8)(-2)D=64-64D=0

Roots are equal hence one solution

What is the length of a rectangle if the width is
10 centimeters and the diagonal is 16 centimeters?

Answers

Answer:

What is the length of a rectangle if the width is

10 centimeters and the diagonal is 16 centimeters?

Step-by-step explanation:

If sally had 5 apples and Sam took 3 how many apples are left

Answers

Answer:

2 apples are left

Step-by-step explanation:

A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving, how many servings can be made from three gallons?

Answers

Answer:

16 cups are in a gallon, meaning we are working with 48 cups. 1 cup of milk works for 4 servings.

Therefore 48 * 4 = 192 servings.

A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, A recipe uses 3 cups of milk to make 12 servings and the same amount of milk is used for each serving,

As we know,16 cups are in a gallon,

1 gallons = 16 cups

3 gallons = 3 × 16 cups

3 gallons = 48 cups

If 1 cup of milk works for 4 servings,

The number of servings that can be made from three gallons will be,

=48 × 4

= 192 servings.

Thus, a recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ5

The diameter of a semicircle is 30 miles. What is the semicircles radius ?

Answers

Answer:

D by 2 means 30 divides 2 frst of all youuhave to find radius after that semi circle

Question
Find the surface area of the cube.



The surface area is
square yards.

Answers

Answer:

81 square yards

Step-by-step explanation:

width- 9 ft

length- 9ft

width times length equals the area which is 81 square feet and if you multiply the height it is 729 which would be the volume.

Hope this helps.

BTW it's my birthday

Devaughn is 6 years older than Sydney. The sum of their ages is 80. What is Sydney's age?

Answers

Answer:

37 and 43

Step-by-step explanation:

There are some ways to do this, but this is what I like to do. First, since there are 2 people, I divide 80 by 2, which is 40. Now I add 3 to one person and subtract 3 from one person, because the age difference is 6 years, and there are two people (if you divide them you get 3). Now you get the answer; 37 and 43.

the volume inside a rectangular storage room is 2,025 cubic feet. the room is 9 feet high. find the the area of the floor.

Answers

Answer:

(Sorry if this answer is not correct, if it is or is not, please tell me in the comments!)

232.777778 feet squared (feel free to round the answer)

Step-by-step explanation:

The formula on how to find the volume is:

(the area of the floor) x (the height of the room) = 2025 cubic feet

We already know the height, so we need to plug it in.

(the area of the floor) x 9 feet = 2095 cubic feet

To get the area of the floor, we need to divide 2095 by 9.

So, the area of the floor is exactly 232.777778 feet squared.

Answer:

225 ft²

Step-by-step explanation:

Formula

Volume = Base Area x HeightVolume = 2,025 ft³Height = 9 ft

Solving :

Base Area = Volume / HeightBase Area = 2,025 / 9Base Area = 225 ft²

Write a recursive formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 6, 11, 16, ...6,11,16,....

Answers

It is not 6 or 11 so the only other option is 16 and because

Express the ratio below in its simplest form
2.5 : 3.5

Answers

Answer:

5 : 7

Step-by-step explanation:

Assuming simplest form means in whole numbers, to find the ratio in simplest form, just multiply both sides by the same value until they are both whole numbers. So 2.5 : 3.5 = 2.5 * 2 : 3.5 * 2 = 5 : 7

Answer:

5:7

Step-by-step explanation:

The simplest form of 2.5 : 3.5 is 5:7 because 2.5 x 2 = 5 and 3.5 x 2 = 7

algebra elimination- 13x+8y=-2 and 2x+y=-1

Answers

Answer:

x=-6/29

y=-17/29

Step-by-step explanation:

we have the system of equations

-13x+8y=-2  ------> equation 1

2x+y=-1 ------> equation 2

Solve by elimination

step 1

Multiply equation 2 by -8 on both sides

-8[2x+y=-1 ] ---------> -16x-8y=8 ------> equation 3

step 2

Adds equation 1 and equation 3

-13x+8y=-2

-16x-8y=8

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

-29x=6

x=-6/29

Find out the value of y

substitute the value of x in any equation

2x+y=-1

2(-6/29)+y=-1

-12/29+y=-1

y=-1+(12/29)

y=-17/29

therefore

The answer is

x=-6/29

y=-17/29

Use the diagram below to answer the
following questions.
2x - 1
x + 7
B
X-4
What is the value of x?
X =
=
What is the perimeter of triangle ABC?
The perimeter is
units.

Answers

Answer:

34

Step-by-step explanation:

Since this an isosceles triangle we can say the length of AB = AC

2x - 1 = x + 7

2x - x = 7 + 1

x = 8

The perimeter is calculated by adding all side lengths

2x - 1 + x + 7 + x - 4 = Area add like terms

4x + 2 = Area replace x with the value we found

4*8+2 = 34 units square

solve using completing the square method

Answers

Answer:

x=3.48 or -1.98

Step-by-step explanation:

2x^2-3x-8=0

x^2-1.5x-4=0

(x-0.75)^2=0

x^2-1.5x-0.5625=0

(x-0.75)^2-7.4375=0

(x-0.75)=√(7.4375)

x=0.75±√(7.4375)

x=3.48 or -1.98

Find the arc length of the partial circle.
Answer in terms of π or use 3.14, and enter your answer as a decimal.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know :

Length of arc = Radius × Angle made by Arc at center [ in radians ]

[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 8 \times \dfrac{ \pi}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 4 \pi \dfrac{ }{} \: \: units[/tex]

or

[tex]\qquad \tt \dashrightarrow \: arc = 4 \times 3.14 = 12.56 \: \: units\dfrac{ }{} \: \: [/tex]

r=8Angle=π/2

Arc length

L=r[tex]\theta[/tex]L=8(π/2)L=4πL=12.6units

Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: A is (arithmetic sequence)

and D is 1 2 3 4 5 6 7

Unfortunately, I only know the answer to those two.

Sorry.

solve major part of my grade <33

Answers

0 3 6 9 12 15 18

(each tick mark = +3)

Mrs. Mueller writes an inequality on the board. The table shows the responses of six students for possible values of x.



Which students have correct responses to Mrs. Mueller's inequality?

Select ALL that apply.

Answers

Answer:

Maya, Pablo

Step-by-step explanation:

We solve the inequality to find how big x must be to fit the inequality.

[tex]\frac{3}{5}x > 6\\ x > 10[/tex]

Since x has to be greater than 10, anyone with an answer above that is correct.

Maya and Pablo are the only two.

This figure represents the base of an fish tank that is 6 inches high.

What is the volume of the fish tank?


390 in³

330 in³

270 in³

240 in³

Image shows a polygon that looks like a rectangle with a triangle attach to the lower right side of it. The polygon has 5 sides. The left side is 5 inches tall. The bottom side is perpendicular to the left side and is 12 inches. The top is perpendicular to the left side also and is 7 inches tall. On the right side, a side is perpendicular to the top side and is 3 inches long. It looks like it stops almost midway on the right side. Then finally the last side attaches the 3 inches segment to the bottom side. This slant side is not labeled.

Answers

Answer:

The Answer Is 240in^3

Step-by-step explanation:

I Took The Test And Got It Right.

The Volume of the fish tank is 240 in³.

The correct option is (D).

What is the volume of plane shapes?

The volume of a flat shape resembles a three-dimensional representation of the shape's boundary.

Given:

The figure can be differentiated into two shapes;

A rectangleA triangle

The volume of the rectangle is known as:

= Length × Breadth

= 7 inches × 5 inches

= 35 inches²

The volume of the triangle is:

= 1/2 × base × height

= 1/2 × 2 × 5

= 5 inches²

The total volume of the base of the fish tank now is:

= 35 inches² + 5 inches²

= 40 inches²

Now, the volume of the fish tank is:

= Height × base of the fish tank

= 6 inches × 40 inches²

= 240 in³

Learn more about the volume of plane shapes here:

brainly.com/question/20475473

#SPJ2

A teacher is 15 y.o. older than her student. In 15 years, the ratio of their ages will be 3:2. Find their present ages​

Answers

student:: 15 years
teacher:: 30 years

Answer:

teacher's age: 30

student's age: 15

Step-by-step explanation:

T = 15 + S

from above,

(T+15)/(s+15) = 3/2

by substitution,

(15+S +15)/(S+15) = 3/2

cross multiply,

2(S+30) = 3(S+15)

2S + 60 = 3S + 45

60 = S + 45

s = 15

T = 30

Marco picked 8 1/2
pounds of apples at an orchard last weekend. He used
1/4
of the apples to make a pie for a party. Then, he used 3 1/8
pounds of apples to make applesauce. How many pounds of apples does Marco have left?

Answers

Answer:

3 1/4 pounds

Step-by-step explanation:

Marco starts with 8 1/2 pounds, to make things easier rewrite it as 8.5.

He uses 1/4 (or .25) of the apples. 8.5 * .25 = 2.125. Subtract this 2.125 from the 8.5 since it's what's being used. 8.5 - 2.125 = 6.375

Then he uses 3 1/8 (or 3.125) pounds. Subtract 3.125 from the 6.375 we got previously to get 3.25.

Marco has 3.25 pounds left which can be rewritten as 3 1/4 pounds.

Two concentric circles are of radii 10 cm and 8 cm, then the length of the chord of the larger circle which touches the smaller circle is​

Answers

Answer:

12 cm

Step-by-step explanation:

Let O be the centre of the circle of radii 10 cm and 8 cm.

In given figure,

AP = PB and OP⊥AB

Applying Pythagoras theorem in ∆OPA, we get

↠ OA² = OP² + AP²

↠ (10)² = (8)² + AP²

↠ 100 = 64 + AP²

↠ 100 - 64 = AP²

↠ 36 = AP²

↠ √36 = AP

6 = AP

Now,

↠ AB = 2AP

↠ AB = 2(6)

↠ AB = 12 cm

Hence,

The length of the chord of the larger circle 12 cm

I can't figure out the range please help

Answers

Answer:

5

Step-by-step explanation:

range is biggest number minus smallest number.

First arrange the numbers from least to greatest.

4, 4, 5, 6, 8, 9, 9

Subtract the biggest number, 9, from the smallest number, 4.

9 - 4 = 5

Answer:

5

Step-by-step explanation:

The range is the highest value number minus the lowest value number. 9 minus 4 is 5.

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