The difference between the areas of the figures is less than 6.

The Difference Between The Areas Of The Figures Is Less Than 6.

Answers

Answer 1

Answer:

|24 - (2x - 6)| < 6

x > 12 or x < 18 (12 < x < 18)

Step-by-step explanation:

Area of the triangle = ½*base*height = ½*8*6 = 4*6 = 24 unit²

Area of rectangle = length * width = (x - 3) * 2 = (2x - 6) unit²

Difference in their areas is given as less than 6. This can be represented as an absolute value of inequality as shown below:

|24 - (2x - 6)| < 6

Solve to find the solution of the inequality by splitting into two as follows:

24 - (2x - 6) < 6 OR 24 - (2x - 6) > -6

Solve for each

24 - 2x + 6 < 6

30 - 2x < 6

Subtract 30 from both sides

-2x < 6 - 30

-2x < -24

Divide both sides by -2. < will change to >, since we are dividing by a negative number.

x > 12

Or

24 - (2x - 6) > -6

24 - 2x + 6 > -6

30 - 2x > -6

Subtract 30 from both sides

-2x > -6 - 30

-2x > -36

Divide both sides by -2

x < 18

The solution of the inequality is x > 12 or x < 18

Or can be written as: 12 < x < 18


Related Questions

Solve for a. 3(a+3)+6=30

Answers

Answer:

a = 5

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties: Distributive, etc.

Step-by-step explanation:

Step 1: Write equation

3(a + 3) + 6 = 30

Step 2: Solve for a

Distribute 3:                                  3a + 9 + 6 = 30Combine like terms:                     3a + 15 = 30Subtract 15 on both sides:           3a = 15Divide 3 on both sides:                a = 5

Step 3: Check

Plug in a to verify it's a solution.

Substitute:                                   3(5 + 3) + 6 = 30Add:                                             3(8) + 6 = 30Multiply:                                       24 + 6 = 30Add:                                             30 = 30

The circumference of a circular region is shown. What type of number best describes the diameter of the
circle. Complete the explanation.
л mi
"
numbers best describes the situation.
TI
The diameter is = = 1 mile, so the set of integer
TI
real
irrational
integer
whole

Answers

Yes is would the diameter of -1 mile east of the integer

To participate in a baseball league, the required equipment for each player is a glove, a hat, and a pair of cleats. A glove costs $53.95 , a hat costs $17.95 , and a pair of cleats costs $29.95 . What is the total cost for a team of 12 players?

Answers

Answer:

1222.2

explanation:

53.95 x 12 = 647.40

17.95 x 12 = 215.40

29.95 x 12 = 359.40

647.40 + 359.40 + 215.40 = 1222.2

The total cost for a team of 12 players as per given cost of different equipment's is equal to $1222.20.

To calculate the total cost for a team of 12 players,

Add up the costs of the required equipment for each player.

The equipment includes a glove, a hat, and a pair of cleats.

Cost of one glove = $53.95

Cost of one hat = $17.95

Cost of one pair of cleats = $29.95

Now, we need to calculate the total cost for each player by adding the costs of all three items:

Total cost per player = Cost of glove + Cost of hat + Cost of cleats

Total cost per player = $53.95 + $17.95 + $29.95

Total cost per player = $101.85

Finally, to find the total cost for a team of 12 players, multiply the total cost per player by the number of players:

Total cost for the team of 12 players = Total cost per player × Number of players

Total cost for the team of 12 players = $101.85 × 12

Total cost for the team of 12 players = $1222.20

Therefore, the total cost for a team of 12 players is $1222.20.

Learn more about total cost here

brainly.com/question/29130990

#SPJ2

Solve the equation 7 minus 2X equals 19

Answers

Answer: x=-6

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

Put it in an equation,

7-2x=19

Solve for x

Subtract 9 on both sides

-2x=12

Divide -2 on both sides

x=-6

The gift box is 10 cm x 12 cm x 3 cm what is the volume of the box

Answers

Answer:

volume  = L*B*H

Step-by-step explanation:

SO,

Volume of the box = L*B*H

OR, Volume of the box = 10*12*3

thus, Volume of the box =360

PLZ HELP WILL GIVE BRAINLIEST

Answers

Julie: 6+2(-1/2)
6-1
5
Jasper: 6+ 4(-1/2)
6-2
4

5-4=1
Julie has 1 more point than Jasper

Tim read 70% of his book containing 230 pages how many pages does he have left

Answers

Hello!

Considering the whole book as 100%, there’s 30% left.

Then, 30% of 230 = 0,3*230 = 69 pages.

Hope you’re all right! Stay safe!

69 Pages are left to read by Tim.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total pages= 230

Percentage of reading = 70%

So, number of Pages Tim reads

= 70 /100 x 230

= 161 pages

Hence, number of pages left = 230- 161 = 69 pages

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

If f(x) = 22 – 4x – 5, find the following:
a. f(-2)
b. f (10)
.c. f(0)

Answers

Answer:

a.25

b.-23

c.17

Step-by-step explanation:

Plug each value in for x and solve

How do you do the second part of the problem?

Answers

Answer:

8

Step-by-step explanation:

According to the Alternating Series Estimation Theorem:

│aₙ₊₁│≤ ε

1 / (4 (n + 1)⁴) ≤ 0.00005

4 (n + 1)⁴ ≥ 20000

(n + 1)⁴ ≥ 5000

n + 1 ≥ 8.41

n ≥ 7.41

n must be an integer, so n ≥ 8.

Question 5 (1 point)
A rectangle has a length of x + 7 and a width of x - 2. Write an
equation that describes the area, A, of the rectangle in terms of
Ob
A = 2x + 5
A = x2
+ 9x - 14
A = 2x + 9
ос
Od
A=x²+.
= x + 5x – 14

Answers

Answer:

A = x^2 + 5x - 14

Step-by-step explanation:

A = L × W

A = (x+7) × (x-2)

A = x^2 + 7x - 2x - 14

Trey’s grandmother has a framed picture with side lengths that are 12 inches. Trey wants to know how much wall space is needed for the picture.

What is the area of a picture with side lengths that are 12 inches? Use the formula A= s^2, where s is the length of one side.
A. 12in.^2
B. 144in.^2
C. 24in.^2
D. 288in.^2

Answers

Answer:

B, 144in.^2 :)

Step-by-step explanation:

The area of a picture with side lengths that are 12 inches is 144 inches²

It should be noted that a square has four sides that are equal. In this case, we've been given the side of one of the lengths to be 12 inches.

Therefore, the square of the sides will be 12 inches multiplied by 12 inches. This will then be:

Area of a square = side ²

Area = 12 inches × 12 inches

Area = 144 inches²

Therefore, the area of a picture with side lengths that are 12 inches is 144 inches ²

Read related link on:

https://brainly.com/question/18190217

10 times the quotient of 6 and 3

Answers

Answer:

20

Step-by-step explanation:

because first you do 6/3 because thats what quotient means which equals to 2 and then you do 10*2 which gives you 20

Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
Calculate how much interest she will pay over the 5 years?
How much will Leah have to pay back in total

Answers

Answer:

She will pay $7,500 interest over the 5 years

She will have to pay back $17,500 in total

Step-by-step explanation:

Let us revise the rule of the simple interest

I = Prt and A = P(1 + rt) , where:

A = Total Accrued Amount (principal + interest) P = Principal Amount I = Interest Amount r = Rate of Interest per year in decimalt = Time Period involved in months or years

∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.

P = 10,000

t = 5

r = 15% = [tex]\frac{15}{100}[/tex] = 0.15

→ Substitute them in the first rule to find the interest

∵ I = 10,000(0.15)(5)

∴ I = 7,500

She will pay $7,500 interest over the 5 years

→ Let us find A

∵ A = 10,000(1 + 0.15×5)

∴ A = 17,500

She will have to pay back $17,500 in total

Divide 6 / 1/4 =
giving brainliest

Answers

Answer:

24

Step-by-step explanation:

i showed my work

Answer:

Here we will show you how to calculate 6 divided by 1/4. We will give you the answer in fraction form and in decimal form.

Here is 6 divided by 1/4 displayed mathematically in colors:

6

 ÷    

1

4

The numbers in 6 divided by 1/4 are labeled below:

6 = whole number

1 = numerator

4 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

6 x 4

1

 =  

24

1

Thus, the answer to 6 divided by 1/4 in fraction form is:

24

1

To make the answer to 6 divided by 1/4 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

24 / 1 = 24

The answer is rounded to the nearest two decimal points if necessary.

24/1 is an improper fraction and should be written as 24.

Step-by-step explanation:

2 ton of rocks cost $2,920.00. What is the price per pound?

Answers

Answer:

$0.73 per pound

Step-by-step explanation:

2920 divided by 4000 (2 tons is 4000 pounds) equals 0.73

Find the value of x in each case:

Answers

Answer:

KLP=54, LPM=18, PMN=108

Step-by-step explanation:

x+3x+2x+72=180

6x=108

x=18

3x=54

x=18

2x+72=108

What does the grid represent

Answers

Answer:

0.030

Step-by-step explanation:

I don't really know how to explain this one, sorry.

Hope this helps! (✿◕‿◕✿)

[tex]\tt Step-by-step~explanation:[/tex]

We have to find out what the shaded regions represent. We can count up ten rectangles in total, and three of them are shaded. We take the amount of shaded rectangles over the total amount to get [tex]\tt \frac{3}{10}[/tex] as a fraction, and 0.3 as a decimal.

[tex]\tt First~option:[/tex]

The first choice is 0.300. The zeroes at the end of the number do not mean anything, so we can simplify it to 0.3. 0.3 is equal to 0.3, so this is not the answer.

[tex]\tt Second~ option:[/tex]

The second choice is 0.30. Again, we can simplify it to 0.3. We can see that it is equivalent to 0.3, so this is not the answer, either.

[tex]\tt Third~option:[/tex]

Our third choice is 0.3. 0.3 = 0.3, so this is not our answer either.

[tex]\tt Fourth ~option:[/tex]

Our final choice is 0.030. Take out the last zero to get 0.03. 0.03 is equal to [tex]\tt \frac{3}{100}[/tex], so this is our answer, since it is not 0.3.

[tex]\large\boxed{\tt Our ~final~answer:~Last~option:~0.030}[/tex]

What is the least common multiple of 4 and 12?

Answers

Answer:

The lcm (least common multiple) of 4 and 12 is 12.

Step-by-step explanation:

Find the prime factorization of 4

4 = 2 × 2

Find the prime factorization of 12

12 = 2 × 2 × 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 3

LCM = 12

The Least common multiple of 4 and 12 is 12.

I hope this helps!

Circle YES or NO The terms -5x and 5x are like terms.

Answers

Answer:

YES

Step-by-step explanation:

Answer:

yes!

Step-by-step explanation:

x are still the same term whether they are negative or not! Good Luck!

What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP​

Answers

Answer:

-5

Step-by-step explanation:

-4x +10 =5(x +11)

-4x +10 =5x +55

-4x - 5x =55 - 10

-9x =45

x=-45 :9

x=-5

67 times a number minus 65 is equal to -4 less than the number

Answers

Answer:

Translation is 67x-65=x-4, you can use any variable for the number.

Step-by-step explanation:

Thirty pounds of lemon drops are to be mixed with cherry chews to make a mixture that will sell for $1.60 per pound. How much (in Ib) of the more expensive candy should be used? See the table.

Answers

About a million and two maybe 3

True statement about parallelogram

Answers

All four sides are congruent.

Answer:

a parallelogram is a simple non-self-intersecting quadrilateral with two pairs of parallel sides.

Step-by-step explanation:

SOMEONE HELP ME PLSS!! IT DUE TODAY!!

Answers

I think its D I hope you do good on your test! Good luck!

Katie deposited $1,000 in the bank for 7years. She earned a simple interest rate of 2.5%. How much interest did she earn? Round your answer to the nearest cent.

Answers

Answer:

$188.69

Step-by-step explanation:

1000 x 1.07^7 = $1188.69

1188.69-1000 = $188.69

Answer:

i will say $188.69

Step-by-step explanation:

hope i helped u and hope to get a Brainliest

byee :)

Anna has 1 more than half the number of pets her friend does. Anna has 3 pets.

Answers

Answer:

Anna's friend has 4 pets.

Step-by-step explanation:

Anna has 3 pets.

3-1=2

2x2=4

Her friend has 4 pets. Because 3-1 equals 2 and 2 doubled is 4. also if you reverse it starting with four it works here is the problem you would have started with (x-1) times 2=3 if you replace x with 4 it works

1.
Subtract 24 from the product
of 12 and 8. 24​

Answers

Answer:

12 multiplied by 8.24=98.88

Subtract 24 from 98.88=74.88

Can y’all help me pls

Answers

Answer:

Step-by-step explanation:

boiii this look are as a mf

Calculate the product 78.93 x 32.45

Answers

Answer:

The answer is 2 561,2785 !!!

The required value is 2,556.2785 which is determined by the multiplication operation.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

The numbers are given in the question, as follows:

78.93 and 32.45

To calculate the product of 78.93 and 32.45, you can use the standard multiplication algorithm.

78.93 x 32.45

Apply the multiplication operation, and we get

2,556.2785

Thus, the required value is 2,556.2785.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ2

At Supply World, 4 pens cost $10.00. How much do 3 pens cost if the price per pen is the same

Answers

If you divide 4 by 10 you get 2.5. Multiple by 3 and the answer would be 5.5-
Hope this helps

Answer: $7.50

Step 1: Divide.

10 ÷ 4 = 2.50

Step 2: Multiply.

2.50 × 3 = 7.50

The answer is 7.50

Other Questions
If a 3.5 kg object is accelerating at 0.80 /s^2, the net force F causing this motion is ____ N.A) 2.2B)2.8C)3.4D)4.0 Topic 2SEQUENCESB. Determine the next 3 terms in each arithmetic sequence8, 14, 20, 26, A recent survey showed that 47% of recent college graduate named flexible hours as their most desired employment benefit. in a graduating class of 860 college students how many would you expect to rank flexible hours as their top priority in job benefits? Which process produces 4 haploid cells Use graph below to write an equation of the line in slope intercept form The 48 contiguous states have 4 times zones, with Louisiana in the _______ time zone. A gardener has 8300 plants.he wants to plant these in such a way that the number of rows and the number of columns remain same.find the number of plants left out in this arrangement -3/5 x = 6 how do I solve for x what are duplet and octet elements?? Dorcan Corporation manufactures and sells T-shirts imprinted with college names and slogans. Last year, the shirts sold for $8.40 each, and the variable cost to manufacture them was $2.25 per unit. The company needed to sell 20,600 shirts to break-even. The after tax net income last year was $5,220. Donnelly's expectations for the coming year include the following: (CMA adapted) The sales price of the T-shirts will be $12. Variable cost to manufacture will increase by one-third. Fixed costs will increase by 10%. The income tax rate of 40% will be unchanged. The selling price that would maintain the same contribution margin ratio as last year is: In the Middle Ages, art was not designed to be realistic and tended to be 2D. The figures that were portrayed were often important religious scenes. What does this suggest about art in this era? There were many optical illusions in this era. They did not have the technology to create 3D art. Symbolism was more important than a realistic image. The church told artists what they were required to paint. The larger of two numbers is 10 more than the smaller numbers. If the sum of the two numbers is 74. Find the two numbers if 300 apples cost 17600 how much does 1 apple cost What is the TALK strategyAnd what does each letter in talk stand for What is the solution to the following equation?X-3(2x-8)= -25A. X= 11B. X= 14C. X=10D. x=5 When you exercise and yourbody temperature rises, howdoes your body maintainhomeostasis? What are somethings that happen? How do youcool off? What happens to yourbreathing? Blood flow? If a lumber company, a shipping company, a paper mill and an office supply store combined to form one corporation, thiswould be an example of...A multinational merger.B horizontal merger.C vertical merger.D cooperative Pls hurry i dont have much time Which of the following were results of the French and Indian War?The colony of Maine was established.Britain began to tax the colonies.The British Empire grew substantially.Spain lost New Orleans to the French.The Declaratory Act was passed.The French threat to the colonies was removed.American military officers gained valuable experience.The process of uniting the colonies began.Britain acquired the eastern Mississippi basin. The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. x 1 2 4 8 16 p(x) 0.05 0.15 0.25 0.30 0.25 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) GB (b) Compute V(X) (in GB2) directly from the definition. (Enter your answer to four decimal places.) GB2 (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) GB (d) Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.) GB2 i dont know this one please help show your work