Fill in the blanks to the picture above
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Answer:
The answer is B, 6x^2 - 21x + 15
Step-by-step explanation:
= (3x + − 3) (2x + − 5)
= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)
= 6x^2 − 15x − 6x + 15
= 6x^2 − 21x + 15
- I don't know how you want me to fill the boxes exactly but here's the step by step explanation. I hope I helped.
Related Questions
A graphic artist earns $22 an hour and she works 40 hours a week. What is her weekly wage
Multiply out the expression (y+9) (y+2) Please show working if possible! Thanks in advance x
Discuss the impact of risky behaviour on an individual and community at large
before leaving to visit Mexico Levant traded 270 american dollars and received 3000 Mexican pesos when he returned from Mexico he had 100 pesos left how much will he recieve when he exchanges these pesos for dollars
Answers
Answer: There are 6 whole numbers less than 100 that are multiples of 3 but not multiples of 5: 15, 30, 45, 60, 75, and 90.
Step-by-step explanation:
To find the number of whole numbers less than 100 that are multiples of 3 but not multiples of 5, we need to determine the range of numbers that satisfy this condition.
First, let's consider the multiples of 3. The multiples of 3 are 3, 6, 9, 12, and so on. We can observe that every third number is a multiple of 3.
Next, let's consider the multiples of 5. The multiples of 5 are 5, 10, 15, 20, and so on. We can observe that every fifth number is a multiple of 5.
To find the numbers that are multiples of 3 but not multiples of 5, we need to find the common multiples of 3 and 5. This means we need to find the numbers that appear in both lists.
Let's compare the two lists:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95
We can see that the numbers 15, 30, 45, 60, 75, and 90 appear in both lists.
A) Commutative Property of Multiplication
B) Associative Property of Addition
C) Commutative Property of Addition
D) Inverse Property of Addition
Answers
Answers
Answer:
(5.4k+7.9m+8.1n) centimeters
Step-by-step explanation:
Given the side length of a triangle;
S1 = (1.3k+3.5m) cm
S2 = (4.1k-1.6n) cm
S3 = (9.7n+4.4m) cm
Perimeter of the triangle = S1+S2 + S3
Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)
Collect the like terms;
Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n
Perimeter of the triangle = 5.4k+7.9m+8.1n
Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters
B. 1/4
C. 1/8
D. 1/16
E. 1/32
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Probability helps us to know the chances of an event occurring. The probability that all four pennies will be tails is (1/16).
What is Probability?
Probability helps us to know the chances of an event occurring.
The probability of a penny getting a tail is 0.5 or (1/2), therefore, the probability of four penny getting a tail can be written as,
Hence, the probability that all four pennies will be tails is (1/16).
Learn more about Probability:
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Answer:
1/16
Step-by-step explanation:
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Answer:
Step-by-step explanation:
You have a 10 gallon jug and a 3 gallon jug and need exactly 5 gallons of water.
This what you do:
- Fill the 3 gallons jug full and pour into the 10 gallons keg
- Repeat the above a second time making a total of 6 gallons of water in the 10 gallons jug.
- Fill the 3 gallons jug a third time and pour into the 10 gallons jug making 9 gallons
- Fill the 3 gallons jug the fourth time and pour into the 10 gallons jug till full leaving 2 gallons of water remaining in the 3 gallons jug.
- Then empty out the 10 gallons jug and pour the 2 gallons of water in the 3 gallons jug into the 10 gallons jug.
- Then, fill the 3 gallons jug again and pour into the 10 gallons jug holding the 2 gallons of water making a total of 5 gallons of water in the 10 gallons jug.
Hope, that helps!!!
Write and simplify a function P that represents the profit made from selling x bracelets.
How many bracelets must the company sell to break even?
Keep answer simple
Answers
Answer:
the company must sell 15 bracelets to break even.
Step-by-step explanation:
To find the profit made from selling x bracelets, we need to subtract the cost of producing x bracelets from the revenue earned from selling x bracelets.
The cost of producing x bracelets is given by the function C(x) = 180 + 8x.
The revenue earned from selling x bracelets is given by the function R(x) = 20x.
To find the profit, we subtract the cost from the revenue: P(x) = R(x) - C(x).
Substituting the given functions:
P(x) = 20x - (180 + 8x).
To simplify the expression, we combine like terms:
P(x) = 20x - 180 - 8x.
Simplifying further, we combine the x terms and the constant terms:
P(x) = 12x - 180.
So, the function P(x) represents the profit made from selling x bracelets: P(x) = 12x - 180.
To find the number of bracelets the company must sell to break even, we set the profit (P(x)) equal to zero, since profit is zero at the break-even point:
12x - 180 = 0.
Adding 180 to both sides of the equation:
12x = 180.
Dividing both sides by 12:
x = 15.