Answer: Paul gets £186
Step-by-step explanation:
Paul has 1/2 as much as Malachy, and Brian has 1/3 as much Paul, therefore Brian has 1/6 as much as Malachy.
1/2 * 1/3 = 1/6
So Malachy’s amount equals 1 in this equation, Paul’s amount equals 1/2 in this equation, and Brian’s amount equals 1/6 in this equation.
1 + 1/2 + 1/6 = 1 + 3/6 + 1/6 = 1 4/6
Now, divide 620 by 1 4/6 to find Malachy’s amount.
620/1 4/6 = 372
Now, divde 372 by 2 to get Paul’s amount.
372/2 = 186
Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 km away. It takes Amy 40 minutes to arrive at school. Bill arrives 20 minutes after Amy. How much faster (in km/h) is Amy than Bill for the entire trip?
Answer:
Amy is (21.6 - 14.4) 7.2 km/hr faster than Bill.
Distance = speed / time
Amy's speed
40 minutes = 40/60 = 2/3 hours
14.4 = speed / 2/3
Speed = 14.4 * 3/2 = 21.6 km/ hr
Bill speed
60 minutes = 1 hour
Speed = 14.4 km / hr.
1: make x the subject: 4(x+y) = z
2: make b the subject: ab + cd = e
Answer:
1.x=(z/4)-y
2.b=(e-cd)/a
Step-by-step explanation:
1.
z=4(x+y)
Divide both sides by 4
z/4=x+y
Subtract y from both sides
(z/4)-y=x
Answer
x=(z/4)-y
2.
ab+cd=e
subtract cd from both sides
ab=e-cd
divide both sides by a
b=(e-cd)/a
Answer
b=(e-cd)/a
Answer:
[tex]1) x = \frac{z}{4} - y[/tex]
[tex]2) b = \frac{e}{a} - \frac{cd}{a}[/tex]
Explanation:
(1) Making x the subject: [tex]4(x + y) = z[/tex]
To make x the subject of original expression, we send the x to the left side of expression and all of the other components to the right side of expression.
The detail procedure is described as following:
[tex]4(x + y) = z[/tex]
Apply associate property:
<=> [tex]4x + 4y = z[/tex]
Send 4y to the right side (the sign of 4y must be changed from positive to negative):
<=> [tex]4x = z - 4y[/tex]
Divide both sides by 4:
<=> [tex]x = \frac{z}{4} - y[/tex]
(2) Make b the subject: [tex]ab + cd = e[/tex], applying the similar procedure in part (1):
[tex]ab + cd = e[/tex]
Send [tex]cd[/tex] to the right side (the sign of
<=> [tex]ab = e - cd[/tex]
Divide both sides by [tex]a[/tex]:
<=> [tex]b = \frac{e}{a} - \frac{cd}{a}[/tex]
Hope this helps!
:)
A gambler rolls a die 100 times.
Which of the following is the most likely amount of sixes rolled?
Answer:
17
Step-by-step explanation:
A standard die has a 1/6 chance of rolling a 6.
Over 100 rolls, a 6 is likely rolled (1/6)*100 times.
100/6=16.66, approximately 17 times
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
If 65% of the light are on what percent of the lights are off
Answer:
since 100% is everything
100 - 65 = 35%
Step-by-step explanation:
35% of the lights are off
Answer:
35% are off
Step-by-step explanation:
The lights are either on or off
That is 100%
100 -65 = 35
65% are on
35% are off
Which best describes the function?
Answer:
The last option on the list.
Step-by-step explanation:
What is the surface area of the rectangular prism?
Answer:
Right rectangular prism
A=2(wl+hl+hw)
l Length
w Width
h Height
Add or subtract (5x^2 + x-3) - (-2x^3 + 4)
Answer:
Step-by-step explanation:
(5x^2 + x-3) - (-2x^3 + 4)=2x³+5x²+x-7
Answer:
2x^3 +5x^2 +x -7
Step-by-step explanation:
(5x^2 + x-3) - (-2x^3 + 4)
Distribute the minus sign
(5x^2 + x-3) +2x^3 - 4
Combine like terms
2x^3 +5x^2 +x -7
part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.
Answer: [tex]\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}[/tex]
Step-by-step explanation:
Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse
[tex]9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]
Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12
[tex]10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}[/tex]
Note: 12² + opposite² = 20² → opposite = 16
[tex]11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]
Note: adjacent² + 5² = 6² → adjacent = √11
[tex]12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}[/tex]
Note: adjacent² + 7² = (13√2)² → adjacent = 17
Please help! Correct answer only please! I need to finish this assignment by today.
Out of the people who have already taken their seats at a seminar, 3 people have blond hair while 6 people do not. What is the experimental probability that the next person to take a seat will have blond hair?
Simplify your answer and write it as a fraction or whole number.
P(blond) =
Answer:
1/3
Step-by-step explanation:
there are nine people in total because 6 + 3 = 9. so since 3 out of 9 people are blond, the probability is 3/9. simplified it will be 1/3 :)
The experimental probability that the next person to take a seat will have blond hair is 1/3.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The experimental probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes.
In this case, the total number of people who have already taken their seats is 3 + 6 = 9. Of these, 3 people have blond hair.
So, the experimental probability that the next person to take a seat will have blond hair is:
P(blond) = 3/(3+6) = 3/9 = 1/3.
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Just the top half is what I need help with. I will give the the big
Answer:
Step-by-step explanation:
5.volume=8×7×6=336 mi³
6.r=16/2=8 yd
volume=4/3×π×8³=2048/3 π yd³
≈2144.7 yd³
7.r=2.5/2=1.25 in
v=πr²h=π×1.25²×5
volume of 150 cups=7.8125 π×150=1171.875 π in³≈3681.6 in³
8. statement not visible.
solve 2x2 + 16x + 6 = 0 by completing the square. Round the solutions to the nearest hundredth
Please help. I will be constantly asking questions on the app to finish a class and i only have a day
Answer: C [tex]0\leq y\leq 5[/tex]
Step-by-step explanation:
An online company lets you download songs for $0.99 each after you have paid a $5 membership fee. Which domain would be most appropriate to calculate the cost to download songs? *
A.rational numbers greater than zero
B.whole numbers greater than or equal to one
C.integers less than or equal to zero
D.whole numbers less than or equal to one
Answer:
I assume that songs are $0.99 each. Let x represent the number of songs you download. Then the total cost of downloading x songs would be
C(x) = $5.00 + ($0.99/song)x
and ONLY integers = to or greater than 0 make sense here. The domain is [0, 100) assuming you cannot buy more than 100 songs.
Personally I'd give the answer as "2, whole numbers more than or equal to zero." However, IF you don't pay the membership fee until ready to actually order one or more songs, then "2, whole numbers greater than or equal to one" makes sense. You'd pay $5 plus $0.99 for one song, in that case.
Step-by-step explanation:
Carole's age is five times Joe's age. The sum of their ages is 18. How old are Carole and Joe? (Solve using systems of linear equation)
c = 5j
c + j = 18
5j + j = 18
6j = 18
j = 3
c = 5(3) = 15
Answer: Carole is 15, Joe is 3
Answer:
Joe is 3 and Carole's age is 15
Step-by-step explanation:
Joe: x
Carole: 5x
5x+x=18
6x=18
x=3
Which of the following is most likely to be a relative minimum for this graph?
Answer: A (3, -4)
Step-by-step explanation:
A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.
If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).
4 is negative because you are going down below the x-axis.
what is 5 1/6 (-2/5) written as a fraction
Answer:
-17/5
Use math papa it gives you the answer all you have to do is unput the equation
Step-by-step explanation:
why is, 9a is equivalent to 11a - 2a true ?
Answer:
9a is equivalent to 11a - 2a because 11a-2a is 9a.
Step-by-step explanation:
what is the ratio 14:56 in its simplest form thx
Answer:
1:4
Step-by-step explanation:
7:28
1:4
Answer:
1:4
Step-by-step explanation:
14:56=
7(2):7(8)=
2:8=
2(1):2(4)=
1:4
Hope this helps!
To determine the mean number of electoral votes, add all of the votes in the table and divide by .
There are a total of 535 electoral votes. The mean is votes per state.
The median of the electoral votes is .
Answer:
The median is the 268th observation.
Step-by-step explanation:
The mean of a data set is the value representing the entire data set.
The formula to compute the mean is:
[tex]\text{Mean}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}[/tex]
The median of a data set is the middle most value in the data set.
For odd number of observations the median is given by:
[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]
For even number of observations the median is given by:
[tex]\text{Median}=\frac{[\frac{n}{2}]^{th}\ \text{observation}\ +\ [\frac{n}{2}+1]^{th}\ \text{observation}}{2}[/tex]
In this case the mean number of votes per state is:
[tex]\text{Mean}=\frac{\text{Total number of electoral votes}}{\text{Total number of states}}[/tex]
There are n = 535 observations, This value is an odd number.
Then the median of the electoral votes is:
[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]
[tex]=[\frac{535+1}{2}]^{th}\ \text{observation}\\\\=268^{th}\ \text{observation}[/tex]
Thus, the median is the 268th observation.
Answer:
To determine the mean number of electoral votes, add all of the votes in the table and divide by
✔ 50
.
There are a total of 535 electoral votes. The mean is
✔ 10.7
votes per state.
The median of the electoral votes is
✔ 8
.
Step-by-step explanation:
Please help me! The answer choices are included in the picture.
Answer:
C
Step-by-step explanation:
Let's just look at the point G(3) = 3
this point only occurs through one equation which is
g(x) = (1/3)x^2
Answer:
The answer is 1/3x^2 or in your case C.
Step-by-step explanation:
Well I just add the points on Desmos graphing. The 3rd one was able to hit the points (3,3) and (-3,3). The others did not.
f(0) = g(0)
f(-2) = g(-2)
f(0) = g(-2)
f(-2) = g(0)
Answer:
f(-2) = g(-2)
Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi?
gohead ask a teacher or another site
I need the same question to
I'll send a screenshot of the problem. I really look forward to an answer!
Answer:
a. 65
b. D
Step-by-step explanation:
The question asks for an expression that solves for the profit that the company will make from each phone. The expression would be 65x, where 65 represents $65 profit from each phone, since $50 is spent and $115 is made, 115-50 gives you the profit, $65
D is the answer because the question asks for the expression that shows the earnings, or how much is made from each phone
Help please !!!!! thank you
Answer:
C
Step-by-step explanation:
To find the product you must multiply the two expressions:
[tex](x-3)*(x+7)[/tex] Starting equation
[tex]x^{2} +7x-3x-21[/tex] Use the FOIL method to multiply the two binomials
[tex]x^{2} +4x-21[/tex] Combine like terms
Rohan and Ronit went to the sea shore during their vacations they stood at a point and decided it to be the starting point. For every step Ronit moved forward Rohan took three steps backward . If the distance covered between the starting point and Ronit is +96 then find out Rohan's position and the distance between Ronit and Rohan .
Answer:
-288
Step-by-step explanation:
math
a circle has a radius of 48 millimetres. What is the arc intercepted by a central angle that measures 3pi/4 radians? express your answer in terms of pi
Answer:
3π/4
Step-by-step explanation:
Find an equation for the hyperbola with center at origin (0,0), vertex (-6, 0) and focus
at (-10, 0)
On a coordinate plane, Curtis lives at (-4,-6) and John lives at (-4,-3) . If each unit on the grid is a mile, how many miles apart are John and Curtis.
Answer:
3 miles
Step-by-step explanation:
Since the x coordinates are the same, we only need to find the distance between the y coordinates
-3 - -6
-3 +6
3 units
Each unit is 1 mile
3 units * 1 miles / 1 unit = 3 miles
Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answer:
[tex]A=2\times25\times 44+14\times44+2\times\frac{14\times24}{2} =3152\; cm^2[/tex]
The surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
What is a triangular prism?When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.
We have a triangular prism, is showing in the picture:
Here a = 25
b = 25
c = 14
h = 44
The surface area of the triangular prism is given by:
[tex]\rm A=ah+bh+ch+\dfrac{1}{2}\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4][/tex]
Plug all the values in the formula we get:
A = 3152 square cm
Thus, the surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
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