Answer: 26 miles
Step-by-step explanation:
Gallons of gas used = 12 1/4 = 12.25
Distance of the trip = 318 1/2 = 318.5 miles
The miles that Mr. Roman travel per gallon of gas will be:
= Distance of the trip / Gallons of gas used
= 318.5/12.25
= 26 miles
Mr Roman travelled 26 miles per gallon of gas
what is speed of sound in air at 100 degree celcius?
Answer:
386m/s is the answer to your question
A scratch-off lottery ticket has 14 concealed spaces among which are 4 symbols saying "Win!". The person who bought the ticket scratches the black yucky stuff off 3 spaces, winning an instant $10 if all three are winners. What's the probability of winning this game? I'm confused about this please help!
Answer:
Step-by-step explanation:
since this has something to do with chance im guessing maybe percentage of winnign this
so
4/14 x 100 so 28.57% probability of winning this game i believe
Exact answer as a fraction = 1/91
Approximate answer in decimal form = 0.010989
Approximate answer in percent form = 1.0989%
=====================================================
Explanation:
Let's think of the problem another way.
Let's say that we have 14 ping pong balls labeled 1 through 14. Furthermore, lets set up the first four balls {1,2,3,4} to be labeled with a star sticker. The rest don't have a star. The star stickers indicate a winning ball. All of the ping pong balls are then put into a bag where we will randomly pull out 3 of them. Replacements will not be made (ie the ball won't be put back). The goal is to get 3 star stickers in a row.
One possible combination is {1,2,7} which is close but not a winner since that 7 is there. Another possible combination is {5,8,12} which is not even close to a winner (since we didn't get 1,2,3 or 4).
---------
We have two questions we need to answer:
How many possible combinations are there? How many combinations are a winner?We'll use the nCr combination formula
[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]
We use the combination formula, instead of the permutation formula, because order does not matter. Something like {1,2,7} is the same as {7,1,2}.
If you plug in n = 14 and r = 3, you should find that 14 C 3 = 364.
I'll list the steps in the attached image below (to save space here).
This means there are 364 different ways to play the game. In other words, there are 364 ways to pull out three ping pong balls.
---------
That wraps up question 1. Now onto question 2.
We have 4 winning balls and 3 slots to fill, so we will plug n = 4 and r = 3 into the combination formula. I'll skip the steps because they're fairly similar to earlier. You could also use Pascal's Triangle to help. Whichever method you use, you should find that 4 C 3 = 4.
note: we have 4 winning balls and 3 slots to fill, so you can think of it like "how many ways are there to not choose a ball?" and that answer would be 4.
So this means there are 4 ways to win the game.
------------------------------------
In summary so far, we found
There are 364 ways to play the gameThere are 4 ways to win the gameThis means the probability of winning is 4/364 = 1/91
Use your calculator to find that 1/91 = 0.010989 approximately which converts over to the approximate percentage of 1.0989%
Help I mark brainliest
Answer:
-r ^3
Step-by-step explanation:
)A triangle is shown on the graph:
What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.
Answer:
45
Step-by-step explanation:
Answer:
45 idrk
Step-by-step explanation:
SCOOBY-dooby-do-la-de-da-de-da
Which of the following is the missing value?
a. 0.27
b. 0.30
c. 0.37
d. 0.50
Answer:
answer is b
Step-by-step explanation:
Find the value of each variable
Answer:
Step-by-step explanation:
[tex]\sqrt{c^2 + c^2 }[/tex] = 9√2
c√2 = 9√2 ⇒ c = 9
b = 2c ⇒ b = 18
d = [tex]\sqrt{18^2 - 9^2 }[/tex] = [tex]\sqrt{(18 - 9)(18+9)}[/tex] = √243 = 9√3
a = c = 9
b = 18
d = 9√3
if y = 4 when x = -4 find y when x = 7
Answer:
-7
Step-by-step explanation:
Assuming y and x are the opposites of each other, when x = 7 y must be -7.
Nick can do a certain job in 3 hours less than it takes bonnie to do the same job. If they complete the job together in 9 hours, what equation could be used to determine how long it will take bonnie to do the job alone
Answer:
Step-by-step explanation:
Let the number of hours Nick does the job alone to be x - 3 hours
Hence, in 1 hour, Nick has done 1/x - 3
Together they complete the job in 9 hours
Hence, let's represent the job as 1
9/x + 9/x - 3 = 1
Multiply through by (x)(x-3)
9(x- 3) + 9(x) = 1
9x - 27 + 9x = (x)(x-3)
-27 = x² - 3x
x² - 3x +27 = 0
Is a quadrilateral a square?
Answer:
No but a square is a quadrilateral
Step-by-step explanation:
hope this helps :)
Answer:
If I were to be honest no Edit: yes it is
Step-by-step explanation:
No because a square has straight parrallel corners. But a quadrilateral has slanted parallel corners.
Hope that helped. But maybe wait for sumone else to answer too. : )
Edit: nvm my bad I was wrong
fatore a equação
2x²-3xy-2y²-2x-11y-12
2x²-3xy-2y²-2x-11y-12
Write -3xy as a difference
2x²+xy-4xy-2y²-2x-11y-12
write -2x as a difference
2x²+xy-4xy-2y²+4x-6x-11y-12
Write -11y as a difference
2x²+xy-4xy-2y²+4x-6x-8y-3y-12
Factor out 2x from the expression
2x×(x-2y-3)+xy-2y²+4x-8y-3y-12
Factor out y from the expression
2x×(x-2y-3)+y×(x-2y-3)+4x-8y-12
Factor out 4 from the expression
2x×(x-2y-3)+y×(x-2y-3)+4(x-2y-3)
Factor out x-2y-3 from the expression
Answer: (x-2y-3)x(2x+y+4)
PLEASE MARK ME AS BRAINLIEST!!
Solve |x| < 12
I’m so lost with this stuff.
Answer: (-12,12)
Step-by-step explanation: hope it helps!
what is the answer?
In the ordered pair (2, 3), 3 is the
write as an algebraic expression: Two less than two times a number (y).
Answer: 2y-2
Step-by-step explanation:
Y represents the number
If you were to solve this you would have to do 2 times a number which is shown by 2y.
Then, you need to subtract 2 from 2y.
Therefore, the answer is 2y-2
The expression for the given verbal expression is 2y-2.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is a verbal expression, Two less than two times a number.
We need to convert it into mathematical expression,
Let the number be y,
Therefore, two times a number = 2y
And Two less than = -2
Therefore,
Two less than two times a number = 2y-2
Hence, the expression for the given verbal expression is 2y-2.
Learn more about expression, click;
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Triangle has side lengths 2, 3, and 4.
Triangle has side lengths 4, 5, and 6.
Is Triangle similar to Triangle?
Answer:
I think no
Step-by-step explanation:
I would say no because they would all have to be the same. 2/4= 1/2 so all the side lengths would have to divide into one half, and they don't
which of the following quadrilaterals are always parallelogram? select all that apply
Answer: square, rectangle and rhombus
Step-by-step explanation:
lemon made 8 5/8 cups of lemonade. she drank 4 3/8 cups of the lemonade. how many cups of lemonade does she have left
Answer: 4 1/4
Step-by-step explanation:
8 5/8
-4 3/8
4 2/8 or 4 1/4
Colton bounces a ball 3.268 feet infront of his feet. The path of the ball from the time it hits the ground until it lands on the floor is represented by
here is the complete and correct question. Colton bounces a ball 3.268 feet in front of his feet. The path of
the ball from the time it hits the ground until it lands on the floor is represented by
f(x) =-4(x - 5)2 + 12
Assuming that Colton's feet are located at the origin, (0, 0), what is the maximum height of the ball (in feet)?
Answer:
12ft
step by step explanation:
This equation has been written in vertex form, and it has its vertex at (5, 12). Because the scale factor is not positive, it has a negative value, the graph for the question is going to open downward, such that the vertex,
that is the maximum height is 12 ft.
we have The equation of a parabola with vertex (h, k) to be
f(x) = a(x -h)² + k
when put in Comparison to your question function, we get that
a=-4
h=5
k=12
so the vertex (h, k) = (5, 12).
Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 for an 8-ounce bag of chewy chocolate candies. How much more do the watermelon candies cost per ounce than the chocolate candies?
Answer:
The Watermelon candies cost 13 more cents then the chocolate.
Step-by-step explanation:
$3.48 divided by 12 is 29 cents
$1.28 divided by 8 is 16 cents
Subtract 16 from 29 and get 13
If Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 for an 8-ounce bag of chewy chocolate candies, then she paid 13 more cents for watermelon candies cost per ounce than the chocolate candies
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Lickety Sweet's Candy Store sells candy by the ounce.
For 12-ounce bag of hard watermelon candies Maura paid $3.48
For 8-ounce bag of chewy chocolate candies Maura paid $1.28
Let us find cost of each watermelon candie
$3.48 divided by 12
3.48/12=29 cents
$1.28 divided by 8
1.28/8=16 cents
Subtract 16 from 29 and get 13
29-16=13
Hence 13 cents more do the watermelon candies cost per ounce than the chocolate candies
To learn more on Equation:
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Suppose your community has 3580 people this year. The population is growing 2.5% each year. a. Write an exponential function to model the population. b. What will the population be in 3 years? c. Graph the function and give the domain and range.
Answer:
Step-by-step explanation
sadly i dont understand
Estimate to the nearest integer.
21
O 3
O 4
O 5
Answer:
5
Step-by-step explanation:
So the square root of 21 is 4.582...
If you round 4.582.. it is 5
Because you look at the first number behind the decimal (tenths place) if it is 4-0 you leave the number the same. If it is 5-9 you increase the number by 1.
Hope this helps ya!!
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
That looks like interior angle to me
x = 47 (since interior angles are congruent)
Step-by-step explanation:
I am really sleepy... :/
Which descriptions match the given transformations?
Drag and drop the answer into the boxes.
Answer:
f(z) is translated 3.5 units left.
Can someone please answer these questions???!
Answer:
Step-by-step explanation:
sub in all your x values into the linear equation it gives you
once you have your table you should be able to figure out the rest if the questions !!
Which values represent solutions to the equation?
Tan(3Pi/4-2x)=-1, where x = [0,pi]
The value of the variable x will be {0, pi/2, pi}. Then the correct option is B.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The trigonometric equation is given below.
tan (3π/4 - 2x) = - 1
We know that the value of tan 3π / 3 is negative one. Then the equation will be
tan (3π/4 - 2x) = tan 3π/4
Apply inverse of tangent on both sides, then the equation will be
(3π/4 - 2x) = 3π/4, -π / 4
- 2x = 0, -π
2x = 0, π
x = 0, π/2
Then the value of the variable x will be {0, pi/2, pi}.
Then the correct option is B.
The question was incomplete, but the complete question is given below.
Which values represent solutions to the equation? tan(3pi/4 - 2x) = -1, where x ∈ [0,pi]
A) {0, pi}
B) {0, pi/2, pi}
C) {0, pi, 2pi}
D) {0, pi/2, pi ⋅ 3pi/2}
More about the trigonometry link is given below.
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If a florist uses 100 roses to make 5 identical flower arrangements, how many roses would the florist use to create 4 identical arrangements
Answer:
80 roses
Step-by-step explanation:
Divide 100 by 5 to find the unit rate, which is 20 roses for every flower arrangement. Multiply 20 by 4 to find how many roses the florist would use for 4 arrangements.
I’ll post part one but plz help it’s worth 15POINTS I’ll mark as Well!!!!
Answer:
Wellll
Step-by-step explanation:
Write 24/25 as a decimal.
30 POINTS What is the answer????
Answer:
Step-by-step explanation:
the third i think
Two containers P and Q are filled with different amounts of water. Each container has a small hole. The graph shows the amount of water, V milliliters, left in each container after x minutes.
Explain what the y-intercept means in this scenario.
Answer:
Step-by-step explanation:
Equation of the line for container O and container P will be in the form of,
y = mx + b
Here m = slope of the line = Change in amount of water per minute
b = y-intercept
From the graph attached,
y-intercept 'b' represents the initial amount of water in the container.
For container O, initial amount of water in the container is 1000 mL.
Similarly, initial amount in the container is 900 mL.