Answers
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
SOMEONE HELP ME PLSS!! IT DUE TODAY!!
Answers
I think its D I hope you do good on your test! Good luck!
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 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!
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
Can y’all help me pls
Answers
Answer:
Step-by-step explanation:
boiii this look are as a mf
PLZ HELP WILL GIVE BRAINLIEST
Answers
6-1
5
Jasper: 6+ 4(-1/2)
6-2
4
5-4=1
Julie has 1 more point than Jasper
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
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
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 :)
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 = 5Step 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 = 3067 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:
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
Tim read 70% of his book containing 230 pages how many pages does he have left
Answers
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
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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:
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
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.
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.
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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:
At Supply World, 4 pens cost $10.00. How much do 3 pens cost if the price per pen is the same
Answers
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
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
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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
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
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]
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
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
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
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
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
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
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.
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