Express 9 - y2 as the product of two binomial factors
Leslie needs to roll an 8 with 2 dice to win a game. how many possible outcomes are there for her to win?
Answer: 5
Step-by-step explanation:
Given : Leslie needs to roll an 8 with 2 dice to win a game.
Number of outcomes , when we roll a die {1 ,2,3,4,5,6} =6
When we roll two dice the total number of outcomes are:
[tex]6\times6=36[/tex]
The possible outcomes when we roll two dice :-
(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)
The favorable outcomes to get sum as 8 :-
{(2,6), (6,2), (3,5), (5,3), (4,4)}
Hence, the number of possible outcomes are there for her to win = 5
FCD=x+41, BCF=x+78, BCD=95. Find x
To find x in a geometry problem involving angle measures BCD, BCF, and FCD.
The given information:
- B = 77.08795270
- C₁ = -7.062084 257
- D₁ = -0.6291204730 E₁ -14.17590540 F₁-62.91204730
Step-by-step solution:
Express BCD as a combination of the other angles: BCD = BCF + FCD. Substitute the given values: 95 = (x + 78) + (x + 41).
Simplify the equation: 95 = 2x + 119.
Solve for x: 2x = 95 - 119 = -24, x = -12.
Which is the line shown in the figure?
P(n) models the fundraiser's profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets.
P(n) = 70n-1500
what is the price of a single ticket
The price of a single ticket is given by the expression [tex]\( \frac{70n - 1500}{n} \),[/tex] where n represents the number of tickets sold.
To find the price of a single ticket, we need to understand that the profit P(n) represents the income from ticket sales.
In the given equation [tex]\( P(n) = 70n - 1500 \)[/tex], n represents the number of tickets sold, and P(n) represents the profit from selling n tickets.
If we divide the total profit P(n) by the number of tickets n, we can find the price of a single ticket.
So, the price of a single ticket is given by:
[tex]\[ \text{Price of a single ticket} = \frac{P(n)}{n} \][/tex]
Substituting [tex]\( P(n) = 70n - 1500 \)[/tex], we get:
[tex]\[ \text{Price of a single ticket} = \frac{70n - 1500}{n} \][/tex]
Now, the price of a single ticket is dependent on the number of tickets sold, so we cannot determine a specific price without knowing the value of n. However, we can say that as the number of tickets sold increases, the price per ticket decreases due to the fixed costs (expressed by the constant term -1500) being spread out over a larger number of tickets.
Solve 5v2+25=115 , where v is a real number
All birds have wings. A bat has wings, so it is a bird. What type of reasoning is this? inductive
deductive
The gcf of 25 and 12 is 1.number with 1 as the gcf are called relatively prime.find another pair of numbers whose gcf is 1
The GCF of 25 and 12 is 1, which means they are relatively prime. Another example of a pair of relatively prime numbers is 8 and 15, as their only common divisor is 1.
The greatest common factor (GCF) of 25 and 12 is 1. Numbers that have a GCF of 1 are called relatively prime. Another pair of numbers whose GCF is 1 could be 8 and 15. To verify, we look for any common divisors. The divisors of 8 are 1, 2, 4, and 8 while the divisors of 15 are 1, 3, 5, and 15. The only common divisor is 1, which confirms they are relatively prime.
Find the value of x for which p is parallel to q, if m∠1 = (9x) and m∠3 = 117 .The diagram is not to scale.
a. 108
b. 13
c. 117
d. 126
Bill can mow his mother's lawn in 45 minutes. his brother jim can mow it in 65 minutes. how long will it take them to do it together, if each has his own lawnmower? (record your answer in minutes rounded to one decimal place.
__________ will produce an irrational answer when added to , because __________.
find the values of x and y
Answer:
The values of [tex]x=30^{\circ}[/tex] and [tex]y=20^{\circ}[/tex].
Step-by-step explanation:
A Linear pair is a pair of adjacent angles formed when two lines intersect.
In the given figure, [tex]80^{\circ}[/tex] and [tex]4x-y[/tex] , [tex]4x-y[/tex] and [tex]x+2y+10^{\circ}[/tex] form a linear pair.
By linear pairs theorem, we have
[tex]80^{\circ}+4x-y=180^{\circ}[/tex]
[tex]4x-y+x+2y+10^{\circ}=180^{\circ}[/tex]
On solving we get,
[tex]4x-y=100^{\circ}[/tex] ....(1)
[tex]5x+y=170^{\circ}[/tex] .....(2)
Now, to solve equation (1) and (2) by simultaneously; we get [tex]x=30^{\circ}[/tex]
putting the value of x in equation 1 we get,
[tex]4x-y=100^{\circ}[/tex]
[tex]4\cdot 30^{\circ}-y=100^{\circ}[/tex]
[tex]120^{\circ}-y=100^{\circ}[/tex]
On simplify we have, [tex]y=20^{\circ}[/tex]
Therefore, the values of x and y are: [tex]30^{\circ}[/tex] and [tex]20^{\circ}[/tex]
Which improper fraction is equal to the mixed number 4 7/9 ?
Evaluate each expression. (1 + 3 + 2) / -2
Membership at the Healthy You Gym is a $40 initial fee and $5 a visit. If Snjaya's billl was $105, how many times did he visited the gym?
Which equation applies the associative property of multiplication? −65−(53−14)=(−65−53)−14 (−12⋅47)+(−12⋅23)=−12⋅(47+23) 89⋅74⋅(−58)=89⋅(−58)⋅74 (−94⋅32)⋅(63⋅57)=−94⋅(32⋅63)⋅57
Answer:
The ansewer is D. I just took the test. Happy Holidays!
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!! 57-4t >(their is an egual sign under the less then sign)13
A. t<=-15
B. t<=15
C. t<=11
D. t=>-11
Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle.
Answer:
Sample Response: A circle measures 360 degrees, so a semicircle measures 180 degrees. By using the inscribed angle theorem, the measure of the inscribed angle would be half of 180 degrees, or 90 degrees, which is a right angle.
Step-by-step explanation:
THIS IS CORRECT I GOT IT RIGHT
Choose true or false. to convert 5 square meters to square yards, multiply 5 by 1.196.
a. True
b. False
if a number is a natural number then it is also a whole number
What is the completely factored form of 2x2 – 32?
A) (2x2 + 16)(x – 16) '
B) 2(x + 4)(x – 4)
C) 2(x + 8)(x – 4)
D) 2(x – 8)(x – 4)
The completely factored form of [tex]2x^2 - 32[/tex] is 2(x + 4)(x - 4).
Given that,
The equation is [tex]2x^2 - 32[/tex].We have to determine the factors of the above equation.Based on the above information, the calculation is as follows:
[tex]= 2x^2 - 32\\\\= 2(x^2 - 16)[/tex]
= 2(x + 4)(x - 4)
Therefore we can conclude that option B is correct.
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a baker orders 162 eggs. each carton contains 18 eggs. which equation can you use to find the number x of cartons? explain your reasoning and sold the equation.
To solve for the number of cartons the baker needs, divide the total number of eggs by the eggs in each carton. This gives the equation x = 162 ÷ 18. Solve the equation to find that the baker needs 9 cartons.
Explanation:The subject of this question is mathematics, specifically division. When a baker orders 162 eggs and each carton contains 18 eggs, to find out how many cartons (represented by x) the baker needs, we would need to divide the total number of eggs by the number of eggs in each carton. This gives us the equation:
x = 162 ÷ 18
Solving this equation, we find that x equals 9. Therefore, the baker needs to order 9 cartons of eggs.
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After working 80 hours at his job, Tyler earned a total of $1100. How much does Tyler earn per hour?
what operation should be performed SECOND to solve this problem?
The Johnson family can fly from Washington DC to to London for $18 per mile per person the distance is 3,663 miles. how much will the trip cost if four people go?
A subtraction
B multiplication
C division
D addition
whatt are some inportant rules to dividing and multipling positives and negitives.
Matt reasoned that he can write 9/1000 as 0.9. Is he correct?
108 centimeters 1.08 meters equation and exponent
To convert 108 centimeters to meters, divide by 100, since 100 centimeters equals 1 meter. Thus, 108 cm equals 1.08 meters, and the exponential form of 1.08 is 1.08 x 10⁰.
To convert 108 centimeters to meters, we use the fact that 100 centimeters is equal to 1 meter. If we have 108 centimeters and we want to express that in meters, we divide 108 by 100, since there are 100 centimeters in a meter.
Thus, 108 centimeters is equivalent to 1.08 meters. When we write 1.08 as an exponent, we express it as 1.08 imes 100, because any number to the power of 0 is 1, and thus the exponent does not change the value of 1.08.
What is 3/2 on a number line
The image of number 3/2 is shown in number line is shown in figure.
We have to given that,
Number on a number line,
⇒ 3/2
Now, We can simplify as,
⇒ 3/2
⇒ 1.5
Therefore, A number 1.5 shown in figure.
So, The image of number 3/2 is shown in number line is shown in figure.
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The shortest known adult woman is about 24 inches tall and tallest known adult woman is about 92 inches tall. Write an absolute value equation that represents the minimum and maximum heights. Use x to represent the heights.
Answer:
An absolute value equation that represents the minimum and maximum heights 24 ≤ x ≤ 92.
Step-by-step explanation:
First we have to know about the middle number. The middle number between 24 and 92 is :
[tex]\frac {(24+92)}{2}= 58.[/tex]
Now positive difference is: 58-24=34 and 92-58=34.
Thus the height of a woman x, can vary at most 34, from 58. That is the height of a woman can be 34 ft less or more than 58.
In absolute value notation this is expressed as:
x-58≤34
what this means is that:
x-58≤34 or 58-x≤34
Further solving the equation gives: |x-58|≤34 ;
24≤x≤92
Through 3,1 slope -1