Answer:−21x−8
Step-by-step explanation: All sides have the same measure in a square, therefore all sides are 3x-8. Area is equal to 3x-8 times 3x-8 which is −21x−8
If the side of the square is (3x - 8), the area of the square is 9x² -48x + 64
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
Square:
Side = (3x - 8)
The area of a square.
= Side²
= (3x - 8)²
Factorize using [(a + b)² = a² + 2ab + b²].
Now,
(3x - 8)²
= 9x² + 8² - 48x
= 9x² -48x + 64
Thus,
The area of the square is 9x² -48x + 64.
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The real number 7/12
belongs to which set of numbers?
1.irrational numbers
2.natural numbers
3.integers
4.rational numbers
Answer:
7/12 belongs in the category 4
Twelve is no less Thant he sum of a number n and 3
Answer:
12 > n+3
Step-by-step explanation:
1.2.23
Is Question Help
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $69. A season ski pass costs $300. The skier would have to rent skis with
either pass for $30 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
The skier would have to go skiing days.
Answer:
Minimum of 8 days
Step-by-step explanation:
Let's assume the number of days is x
Then we need to compare daily pass vs season pass:
300 + 30x < 69x 69x - 30x > 30039x > 300x > 300/39x > 8 days (using whole number)So, minimum 8 days is the answer
Look at the graph. On a coordinate plane, a line with negative slope goes through points (0, 2) and (4, 0). To find the rate of change of the function, Kevin did the following: StartFraction 0 minus (negative 1) Over 2 minus 2.5 EndFraction = StartFraction 1 Over negative 0.5 EndFraction = negative 2. What was Kevin’s mistake? He incorrectly chose (–1, 2.5) as a point on the graph. He incorrectly chose (0, 2) as a point on the graph. He mixed up the numerator and the denominator of the fraction. He subtracted –1 from 0 when he should have added –1 to 0.
Answer:
the answer is c i did the test again and got it right
Step-by-step explanation:
He mixed up the numerator and the denominator of the fraction which is the correct answer would be an option (C)
What is the slope of the line?The slope of the line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
On a coordinate plane, a line with a negative slope goes through points (0, 2) and (4, 0).
To determine the rate of change of the function,
He incorrectly selected the graph's point at (-1, 2.5).
Given that the graph passes through, Kelvin did not make this error (–1, 2.5)
He picked the wrong spot on the graph, (0, 2).
Given that the graph passes through, Kelvin did not make this error (0, 2)
We have that Kevin’s mistake is
He messed up the fraction's denominator and numerator.
He should have added -1 to 0 instead of subtracting it, which he did.
He cannot make a mistake here because the two are identical.
Hence, He mixed up the numerator and the denominator of the fraction which is the correct answer would be an option (C)
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Bob has three pennies. Betty has three times as many pennies as bob. Bill has three times as many pennies as Betty. Barb has three times as many pennies as bill. Write a power to represent the number of pennies that barb has.
Answer:
barb has 3⁴ pennies
Step-by-step explanation:
We are told that ;
Bob has 3 pennies = 3
Betty has three times as many pennies as bob = 3 × 3 = 3²
Bill has three times as many pennies as Betty = 3 × 3² = 3³
Barb has three times as many pennies as bill = 3 × 3³ = 3⁴
Thus,barb has 3⁴ pennies
Answer:
3⁴ pennies or 81 Pennies
Step-by-step explanation:
Bob - 3¹
Betty - 3²
bill - 3³
barb - 3⁴
3*3*3*3 = 81
Billy uses 7 centimeters of tape for every present he wraps. How much tape will billy need in all if he has to wrap 6 presents?
Caleb solved this equation and recorded his work. 7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6 1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 − 21.6 2. 15.6x − 16.4 = −2.3x + 35.4 3. 17.9x − 16.4 = 35.4 4. 17.9x = 51.8 5. X ≈ 2.89 When Caleb verified his solution, it didn't work. What mistake did he make? In step 1, the distributive property was not used properly on the right side of the equation. In step 2, the like terms were not combined properly on the right side of the equation. In step 3, the addition property of equality was not used properly to isolate the variable term. In step 5, the division property of equality was not used properly to solve for x.
Answer:
Option B.
Step-by-step explanation:
The given equations is
[tex]7.4x+4.1(2x-4)=-2.3(x-6)-21.6[/tex]
The correct steps to solve the above equation are
1. Using distributive property, we get
[tex]7.4x+8.2x-16.4=-2.3x+13.8-21.6[/tex]
2. Combining like terms, we get
[tex]15.6x-16.4=-2.3x-7.8[/tex]
3. Using addition property of equality, add 2.3x on both sides.
[tex]17.9x-16.4=-7.8[/tex]
4. Using addition property of equality, add 16.4 on both sides.
[tex]17.9x=8.6[/tex]
5. Using division property of equality, divide both sides by 17.9.
[tex]x\approx 0.48[/tex]
In step 2, the like terms were not combined properly on the right side of the equation.
[tex]13.8-21.6=-7.8\neq 35.4[/tex]
Therefore, the correct option is B.
Answer:
The correct answer is b. In step 2, the like terms were not combined properly on the right side of the equation.
Hudson is driving on a long road trip. He currently has 13 gallons of gas in his car.
Each hour that he drives, his car uses up 1 gallon of gas. How much gas would be in
the tank after driving for 2 hours? How much gas would be left after t hours?
Gas left after 2 hrs
Gas left after t hours
Answer:
There would be 11 gallons of gas left!
Step-by-step explanation:
Answer:
after 2 hours = 11
Step-by-step explanation
what do you mean by t?
Please solve this for me
I’m dumb I know please do it
No wrong answer or Bots or else I’ll report
Answer:
Step-by-step explanation:
1a. 7000m 1b. 10mm
2a. 1000cm 2b. 2m
3a. 6km 3b. 3km
4a. 2km 4b. 9m
5a. 6cm 5b. 7m
6a. 9cm 6b. 9km
7a. 4km 7b. 5km
8a. 8km 8b. 30mm
9a. 70mm 9b. 3m
10a. 2cm 10b. 10cm
Answer:
1a: 7,000 m 1b: 10 mm
2a: 1,000 km 2b: 2 m
3a: 6 km 3b: 3 km
4a: 2 km 4b: 9 m
5a: 6 cm 5b: 7 m
6a: 9 cm 6b: 9 km
7a: 4 km 7b: 5 km
8a: 8 km 8b: 30 mm
9a: 70 mm 9b: 3 m
10a: 2 cm 10b: 10 cm
Hope I helped!
Find the value of m.
A. 63
B.50
C.32
D.74
Answer:
A
Step-by-step explanation:
guys i need help ASAP
Answer:
Your answer would be the third set
Step-by-step explanation:
Or the past 100 years, the average high temperature on october 1 is 78° with a standard deviation of 5°. what is the probability that the high temperature on october 1 of next year will be between 73° and 83°?
Answer:
The probability is 0.683
Step-by-step explanation:
To calculate this, we shall be needing to calculate the z-scores of both temperatures
mathematically;
z-score = (x-mean)/SD
From the question mean = 78 and SD = 5
For 73
z-score = (73-78)/5 = -5/5 = -1
For 83
z-score = (83-78)/5 = 5/5 = 1
So the probability we want to calculate is within the following range of z-scores;
P(-1 <z <1 )
Mathematically, this is same as ;
P(z<1) - P(z<-1)
Using the normal distribution table;
P(-1<z<1) = 0.68269 which is approximately 0.683
What number is 10^2 times as long as 0.012?
Azmol is paid £1500 per month. He is going to get a 3% increase in the amount of money he is paid. Work out how much money Azmol will be paid per month after the increase.
Answer:
So if he's paid £1500 and he's getting an increase of 3%, we only need to calculate the 3% of 1500 and then add it what he's paid now (£1500)
To calculate the x% of a number, we multiply the number by [tex]\frac{x}{100}[/tex]%.
So, if we want to calculate the 3%, we need to multiply by [tex]\frac{3}{100}[/tex]%, by 0.03:
1500 * 0.03 = £45
So now, we know he'll be paid £45 more than the last month, so we sum what he got before (£1500) plus those £45.
1500 + 45 = £1545
Simplify 4 (3 -- 4x
Answer:
12-16x
Step-by-step explanation:
4(3-4x)
12-16x
The expression 4 (3 - 4x) is simplified as 12 - 16x.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expression is given below.
⇒ 4 (3 - 4x)
Simplify the expression, then the expression will be
⇒ 4 (3 - 4x)
⇒ 4 · 3 - 4 · 4x
⇒ 12 - 16x
The expression 4 (3 - 4x) is simplified as 12 - 16x.
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The perimeter of the square below is 28.4 cm
3.6x - 1.9
what is the value of X?
find the side length of the square_________cm
(3.6x - 1.9)4 = 28.4
3.6x - 1.9 = 7.1
3.6x = 7.1 + 1.9
3.6x = 9
x = 9 / 3.6
x = 2.5 (value of x)
3.6(2.5) - 1.9 = 7.1 (side length)
you want to multiply it by 4 because right now its only showing one side. perimeter is all 4 sides combined
please help, thank you :)
Step-by-step explanation:
Hey, there!
See explanation in picture.
Hope it helps....
evaluate the expression
Answer: -5
Step-by-step explanation:
Multilpy [tex]\frac{1}{4}[/tex] x (-5 + 5 x (3)
Calculate [tex]\frac{1}{4}[/tex] x (-5 - 15)
-[tex]\frac{1}{4}[/tex] x 20
= -5
Answer:
-5
Step-by-step explanation:
1/4 ( -5 + 5(-3))
Using PEMDAS
Multiply inside the parentheses
1/4 ( -5 + -15)
Add inside the parentheses
1/4( -20)
Multiply
-5
Renji owes his parents $204. He pays them back $8.50 every week. How many payments will it take until Renji has paid his parents back fully?
Answer:
24 payments.
Step-by-step explanation:
$204 divided by $8.50 = 24
The answer step by step
Remember:
-When multiplying numbers with decimals just forget about the decimals for a second and pretend you are multiplying a 3 digit number times a 2 digit number.
-one digit at a time. Multiply going from right to left.
First:
-Multiply the 3 with the top numbers.
-Pretend you are seeing this:
5.72 (3)
- 2*3=6. 7*3=21. (carry the 2). 5*3 +2=17. (leave the 1).
Second:
-write below and move a digit to the left.
-pretend you are seeing this: 5.72(6).
- 2*6 =12. (carry the 1). 7*6 +1=43. (carry the 4) 5*6+4=34. (leave the 3).
Third: since in the problem the decimal is placed in the hundredths only once, place the decimal in the hundredths as your solution.
Your solution should be 360.36
point A B and C are collinear on AC and AB:BC = 3/4. A is located at (x,y), B is located at (4,1) and C is located at (12,5). what are the values of x and y?
Answer:
x = -2 and y = -2Step-by-step explanation:
The expression for calculating the point that divides the coordinate of two endpoints A(x, y) and B (x₁, y₁) in the ratio a:b with point C(X, Y) on the line is as shown below;
[tex]B[/tex][tex](X, Y) =[/tex] [tex](\dfrac{ax_1+bx}{b+a}, \dfrac{ay_1+by}{b+a})[/tex]
Given B(X, Y) = (4, 1), C(x₁, y₁) = (12,5) and AB:BC = a:b = 3/4
From the given coordinates, X = 4, Y = 1, x₁ = 12 y₁ = 5, a = 3 and b =4
From the coordinates above;
[tex]X = \dfrac{ax_1+bx}{b+a}[/tex]
[tex]4 = \dfrac{3(12)+4x}{4+3}\\\\4 = \dfrac{36+4x}{7}\\\\\\4*7 = 36+4x\\28 = 36+4x\\28-36 = 4x\\-8 = 4x\\x = -8/4\\x= -2[/tex]
Similarly to get y;
[tex]1 = \dfrac{3(5)+4y}{4+3}\\\\1 = \dfrac{15+4y}{7}\\\\\\1*7 = 15+4y\\7 = 15+4y\\7-15 = 4y\\-8 = 4y\\y= -8/4\\y= -2[/tex]
Hence the value of x is -2 and y is -2.
w - 4c use w = 7 and c = 9 show work plssss
Answer: -29
Step-by-step explanation: plug 7 in for w and 9 for c
7-4(9) = -29
Container a has a maximum capacity of 3 gallons. Container B has a maximum capcity of 14 quarts. How much extra capacity does container B compared to container A
Answer: 0.5 gallon
Step-by-step explanation:
From the question, we are informed that Container a has a maximum capacity of 3 gallons. Container B has a maximum capcity of 14 quarts.
It should be noted that 4 quarts equals 1 gallon. Therefore, 14 quarts = 14/4 = 3.5 gallons
Container A = 3 gallons
Container B = 3.5 gallons
The difference will be:
= 3.5 gallons - 3 gallons
= 0.5 gallon
Each fork in a store costs $5, and each knife costs $4. If you want to spend exactly $36, write an equation in standard form modeling this situation. Let f represent the number of forks you buy, and k represent the number of knives you buy. If Linda purchases 3 forks, how many knives can she buy?
Answer:
5.25
Step-by-step explanation:
so our equation would be f(5)+k(4)=36 then since she buys 3 forks we would plug in 3 for f so we get 3(5)+4k=36 which can be simplified to 4k=21 which si 5.25
Mr. Hull had 2,466 apples. If he gave half to his brother, how many apples would he have left?
Answer:
1233
Step-by-step explanation:
Divide the total number by 2 because it's half
Need help quick simplify the expression (-4) power of 3
Answer:
-64
Step-by-step explanation:
Answer:
-64
Step-by-step explanation:
whats the symbol for inf
Answer:
[tex] \infty [/tex]
Step-by-step explanation:
If you meant infinity, that is the answer, I think you should elaborate on the question
1. A={all even integers) under multiplication?
2. B={all positive even integers) under averaging?
3. C=fall odd integers) under addition?
4.D={all odd integers) under multiplication?
5. E=fall prime natural numbers) under addition?
6. F={all composite integers) under addition?
7. G={all composite integers) under multiplication?
Answer and Step-by-step explanation:
1-A= {all even integers} under multiplication?:
Sol: The set of positive integers under multiplication would not form because this set does not contain inverses. And no identity exists in this set. And in the case of negative even integers under multiplication, when we multiply a negative number to another negative number it becomes a positive even integer.
2-B= {all positive even integers} under averaging?:
The average of the integers from 1 to n is (n+1)/2.
Because there is only even numbers so, the formula has to doubled, this formula is used for sequences that increase by 1. So n(n+1)
There are only 1009 even integers between 2 to 2018.
2+2018=2020 and 2020/2=1010
3-C= {all odd integers} under addition:
Sol: the set of odd integers under addition does not form a set because the set of odd integers is not a closed set. Because addition of two odd numbers gives us an even number. And the other reason is that the identity element does not exist in this set. Identity for addition is zero (0) which is an even number.
4-D= {all odd integers} under multiplication:
Sol: The set of odd integers say F is not a group under multiplication (.) because the inverse of odd integers does not exist. For example an element m is belonging to odd integer group say F. its inverse (1/m) does not exist in this set. Sometimes it does not have identity.
5- E= {all prime natural numbers) under addition:
Sol: All prime natural numbers are not set under addition because when we add two prime numbers we will not get always a prime number. For example 7+3= 10
7 and 3 are prime numbers but 10 is not a prime number.
6-F= {all composite integers} under addition:
Sol: no, not all composite number under addition form a set because when we add two composite number 15 + 14 = 29, 29 is a prime number.
7-G= {all composite integers} under multiplication:
Sol: yes all composite integers form a set under multiplication because when we multiply any integer to another integer it gives composite numbers. When we multiply prime numbers it gives a composite number.
(4.2 x 103) x (1.3 x 10-1)
Answer:
5191.2
Step-by-step explanation:
(4.2 x 103) x (1.3 x 10 - 1)
(432.6) x (13 - 1)
(432.6) x (12)
5191.2
Answer:
5191.2
Step-by-step explanation:
(4.2 x 103) x (1.3 x 10-1)
=432.6 ( 13 -1)
=432.6 x 12
=5191.2
what are the factors of 2b (3 – c)?
Answer: 2 , b , (3-c)
Step-by-step explanation:
Given expression : 2b (3 – c)
We know that factors are the expression that gives the givrn or original expression by multiplying it to other expression.
Here , we can factorize the given expression as :
[tex]2\times b\times (3-c)[/tex]
So, the factors of [tex]2b (3 -c)[/tex] is [tex]2 , b , (3-c)[/tex] as they are making the original expression together .