There are 33 winners which would you expect if there are 100 players, and its calculated values can be defined as follows:
Winning percentage:
[tex]\text{Number of Players } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{ Number of Winners}[/tex]
game 1 52 14
game 2 77 25
game 3 61 25
Total 190 64
According to Heath, there have been 64 winners out of a total of 190 players.
[tex]\to \frac{64}{190}\\\\\to 0.33\\\\[/tex]
Calculating the Winning percentage [tex]= 0.33 \times 100= 33\%[/tex]
Find out more information about the percentage here:
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57.4g of sugar is needed to make 7 cakes. How much sugar is needed for 9 cakes?
Answer:
73.8 g
Step-by-step explanation:
57.4/7 = 8.2 per cake
8.2 x 9 = 73.8 g
Answer:
I'm pretty sure the answer would be 73.8g
Step-by-step explanation:
Each side of a square is 3inches long.a student increases the length of each side by 3inches.the are of the new Square is how many times the area of original square?
A=2
B-3
C=4
D=a
How much interest does a $407 investment earn at 6% over seven years?
Answer:
$204.98
Step-by-step explanation:
407(1+0.06)^7
611.98
611.98-407
204.98
So it made $204.98
Hope this helps
< Exit
Topic 8 Test
Due 03/26/21
Fencing How much fencing is required to enclose a circular garden whose radius is 14 m? Use
22
for at
7.
About m of fencing is required to enclose the circular garden.
(Type an integer, proper fraction, or mixed number.)
Enter your answer in the answer box.
Answer:
88m of fencing
Step-by-step explanation:
the cicumference of the garden is what we are looking out for,
and with the raduis .ie.14m
C=2πr
C=2•22/7•14
C=88m
What is the length of the missing leg?
What is the rate of change in the equation?
Answer:
-5
Step-by-step explanation:
The rate of change is normally the number not attached to X so in this equation it is-5.
2) A circle has an area of 121 ñ cm. Find its circumference. (Round your answer to the
nearest tenth.).
Answer:
If the area is 121 cm the answer is 38.99 if its 12 cm then the answer is 12.28
Step-by-step explanation:
Im not sure if correct but i tried
This is the graph of f(x). What is the value of f(3)?
Answer:
Option C. 8 will be your answer
Step-by-step explanation:
hope it helps you...
have a great day!!!
Tristan paid $17.50 to buy 2 pounds of peanuts and 3 pounds of cashews. Rivka paid $19.00 to buy 5 pounds of peanuts and 2 pounds of cashews. If both people paid the same price per pound, what was the price per pound for the cashews?
A. $2.00
B. $3.80
C. $4.50
D. $8.75
Answer:
C. $4.50
Step-by-step explanation:
hello, there.
1) 2p + 3c = 17.50
2) 5p + 2c = 19.00
:
Solve equation 1 for p
:
p = (17.50 - 3c) / 2
:
Substitute for p in second equation
:
(5(17.50 - 3c) / 2) + 2c = 19.00
:
Multiply both sides of = by 2
:
(5(17.50 - 3c)) + 4c = 38.00
:
87.50 - 15c + 4c = 38.00
:
-11c = -49.50
:
c = 4.50
:
---------
Cashews are $4.50 per pound
--------------
:have a great day.
Answer:
C
Step-by-step explanation:
Let p represent the cost for one pound of peanuts and let c represent the cost for one pound of cashews.
Two pounds of peanuts and three pounds of cashews cost $17.50. So:
[tex]2p+3c=17.5[/tex]
Five pounds of peanuts and two pounds of cashews cost $19.00. So:
[tex]5p+2c=19[/tex]
This yields a system of equations.
We can solve this using elimination. We can multiply the first equation by -5, and the second by 2. Therefore:
[tex]-5(2p+3c)=-5(17.5)[/tex]
Multiply:
[tex]-10p-15c=-87.5[/tex]
And:
[tex]2(5p+2c)=2(19)[/tex]
Multiply:
[tex]10p+4c=38[/tex]
Now, we can add the two equations together:
[tex](-10p-15c)+(10p+4c)=(-87.5+38)[/tex]
Combine like terms:
[tex]-11c=-49.5[/tex]
Therefore:
[tex]c=4.5[/tex]
So, a pound of cashews costs $4.50.
Our answer is C.
Notes:
To solve for the cost for peanuts, we can use the first (or second equation) again:
[tex]2p+3c=17.5[/tex]
Substitute:
[tex]2p+3(4.5)=17.5[/tex]
Solve for p:
[tex]2p+13.5=17.5\Rightarrow 2p=4\Rightarrow p=2[/tex]
So, a pound of peanutes cost $2.00.
Alina drew a model of a square pyramid. The dimensions of the model are
shown in the diagram.
Answer:
400
Step-by-step explanation:
Volume=⅓*B*h
B=10×10=100
Bh=100×12=1200
then divide by
1200÷3=4
The volume of a pyramid with a square base is 400 cm³.
What is a pyramid?A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.
The volume of a pyramid with a square base is given as:
Volume = 1/3 x base area x height
We have,
The volume of a pyramid with a square base is given as:
Volume = 1/3 x base area x height
Now,
Height = 12 cm
Base area = 10² = 100 cm²
Now,
Volume.
= 1/3 x 100 x 12
= 400 cm³
Thus,
The volume of a pyramid with a square base is 400 cm³.
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Hey, this is an ape3x question id really appreciate it if someone could help me on this..
Answer:
<4 and <8 are corresponding angle
The Pythagorean Theorem states that, in a right triangle, the square of the length of the hypotenuse equals the
sum of the squares of the lengths of the legs. Which of these models support the validation of this theorem?
What is the value of x
Answer:
x = 9
y = 5
Step-by-step explanation:
<N and < M are opposite equal sides. So they are equal as well. In addition, the base is equal to the other 2 sides. That means you are dealing with an equilateral triangle. All the angles are equal to 60 degrees.
7x - 3 = 60 degrees Add 3 to both sides
3 3
7x = 63 Divide by 7
x = 63/7
x = 9
Just for the sake of completeness, we'll find y
11y + 5 = 60 Subtract 5 from both sides
-5 -5
11y = 55 Divide by 11
y = 55 /11
y = 5
Solve for x. -4x + 6(6– 2x) = -7x – 36 Select one:
a. -7
b.15
c.8
d.3
Answer:
8
-4x+6(6-2x) = -7x - 36
-4x+36-12x = -7x-36
-16x+36 = -7x-36
-16x +7x = -36-36
-9x = -72
x = 72/9
x = 8
6
B
42°
3.1 m
32°
A
D
С
Calculate the length of AB.
Show your working clearly.
Give your answer correct to 3 significant figures.
Answer:
D i did the test and got a 100
Step-by-step explanation:
Point D is in the interior of ∠ABC. What is m∠DBC?
37.5 degrees
we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.
The measure of angle ∠DBC is,
⇒ ∠DBC = 35.5°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Point D is in the interior of ∠ABC.
And, ∠ABD = (3x + 22)°
⇒ ∠DBC = (x - 4)°
Clearly, Both angle make a linear pair.
Hence, We get;
⇒ ∠ ABD + ∠DBC = 180°
⇒ (3x + 22) + (x - 4) = 180°
⇒ 3x + 22 + x - 4 = 180
⇒ 4x + 18 = 180
⇒ 4x = 180 - 18
⇒ 4x = 162
⇒ x = 162/4
⇒ x = 40.5
Hence, The measure of angle ∠DBC is,
⇒ ∠DBC = (x - 4)°
⇒ ∠DBC = (40.5 - 4)°
⇒ ∠DBC = 35.5°
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a television regularly cost $180 but is on sale for 40% off there is a 5% sales tax on the sales price how much does the television cost after the discount and sales tax
Answer:
$102.60
Step-by-step explanation:
i am pretty sure this is correct
Which statement about the two triangles is correct?
Answer:
The second choice
Step-by-step explanation:
i dunno how to explain it
Trigonometry can anyone help me out
Answer:
y = 11
x = 11 root 3
[tex]x = 11\sqrt{3} [/tex]
[tex]y = 11[/tex]
Step-by-step explanation:
Cos 60 =
[tex] \frac{y}{22} \\ 0.5 = \frac{y}{22} \\ 0.5 \times 22 = y \\ 11 = y[/tex]
[tex]for x \\ \sin(60) = \frac{x}{22} \\ \frac{ \sqrt{3} }{2} = \frac{x}{22} \\ \frac{ \sqrt{3} }{2} \times 22 = x \\ 11 \sqrt{3 } = x[/tex]
Answer:
y = 11
x = 11 root \3
Step-by-step explanation:
Write the fifteenth term of the binomial expansion of (a^2+b)^20
Answer:
The fifteenth term of the binomial expansion of [tex](a+b)^{20}[/tex] is [tex]38760\cdot a^{6}\cdot b^{14}[/tex].
Step-by-step explanation:
Let be a binomial of the form [tex](a+b)^{n}[/tex], where [tex]a, b\in \mathbb{R}[/tex] and [tex]n\,\in\mathbb{N}^{+}[/tex]. The expansion of this polynomial is defined below:
[tex](a+b)^{n} = \Sigma\limits_{k=0}^{n}\,\frac{n!}{k!\cdot (n-k)!}\cdot (a^{n-k}\cdot b^{k})[/tex] (1)
Where:
[tex]n[/tex] - Number of terms of the expanded polynomial.
[tex]k[/tex] - Index associated to [tex]k[/tex]-th term of the expanded polynomial.
For all [tex]n[/tex]-th binomial, we a sum of [tex]n+1[/tex] terms. If the given binomial has a term of [tex]20[/tex], then we have 21 terms and the fifteenth term of the polynomial corresponds to the [tex]14[/tex]-th term. Then, the fifteenth term of the binomial is:
[tex]c_{14} = \frac{20!}{14!\cdot 6!}\cdot (a^{6}\cdot b^{14})[/tex]
[tex]c_{14} = 38760\cdot a^{6}\cdot b^{14}[/tex]
The fifteenth term of the binomial expansion of [tex](a+b)^{20}[/tex] is [tex]38760\cdot a^{6}\cdot b^{14}[/tex].
If your running a race and you passed the person in second place what place would you be in now?
Answer:
the answer is first place
Answer:
Second place
Step-by-step explanation:
Because that person was in SECOND PLACE and you were behind them, you two switched because you got ahead of them, but you are NOT in FIRST place, because there is still one person in front of you. Good luck!
What is the slope of the line that passes through the points (-10, 9) and (9, 9)
Step-by-step explanation:
the answer is on foto
y = 9
Maria has two options for buying a new computer. She can pay $750 right now, or she can pay $24.99 each month for 3 years. How much more will Maria pay if she makes payments for 3 years?
Answer:
$149.64
Step-by-step explanation:
Recall that there are 12 months in a year. Thus, 3 years would be 36 months.
$24.99 times 36 months comes to $899.64. To determine how much more Maria will pay by making monthly payments is $899.64 less $750, or $149.64.
PLEASE I ACTUALLY NEED HELP ;(
Answer:
[tex]\sqrt{18x^4y}[/tex]Step-by-step explanation:
3x²[tex]\sqrt{2y}[/tex] = [tex]\sqrt{(3x^2)^22y}[/tex] =[tex]\sqrt{18x^4y}[/tex]Answer:
√{18x⁴y}=√?
?=18x⁴y is your answer
A house painter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
A. 30:54
B. 6:10
C. 10:45
D. 27:15
Please help! I need this fast!
Answer:
E. (6,4
F. (4,6)
G. (3,0)
H. (0,3)
Step-by-step explanation:
2. Find the value of x to the nearest degree.
A) 68
B) 22
C) 24
D) 66
Answer:
it would be 66 I hope this helps.
Find the slope of the line graphed
Answer:
I believe it is 2
3. Which among the statements is true?
a. Every parallelogram is a rhombus.
b. Every rectangle is a square.
c. Every rhombus is a rectangle.
d. Every square is a rectangle.
400 passengers go on a coach trip.
Each coach takes 50 passengers.
Each passenger pays £23
Below shows the costs for the coach company.
pay for driver/cost for each coach=£95
Fuel/ cost for each coach = 70p per mile
Each coach travels 200 miles.
work out the total profit the company makes from this trip