Answer:
225
Step-by-step explanation:
(9000/45) + (500/20) =200 + 25 = 225
x=25, y=200
Answer:
Step-by-step explanation:
It is given that x is the number of participants in the 5K race and y is the number of participants in the 10K race.
20x+45y=9500
Eve makes $20 for each 5K participant and $45 for each 10K participant. She wants to raise $9,500. The linear equation below represents the given scenario.
20x+45y=9500
20(200+45y=9500
4400+45y=9500
45y=9500
y ==113.3 (curvy equal sign)
If Eve raises exactly $9,500 and there are 220 5K participants, the number of 10K participants is found as shown below.
It is not possible to have 113.3 participants in the 10K race. So, no, it is not possible for Eve to raise exactly $9,500 if there are 220 participants in the 5K race.
binomial numbers, Stifel
Answer:
binomiales, números combinatorios o combinaciones son números estudiados en combinatoria que corresponden al número
Step-by-step explanation:
Find the area of a circle with diameter 10cm use the value 3.14
Answer:
78.5 cm
Step-by-step explanation:
The area of a circle is represented by A = πr². Since we are replacing the value of pi(π) with 3.14, and the diameter is 10, meaning the radius(r) is 5, we can plug both values into the equation, to get A = 3.14(5^2). This simplifies to 78.5.
Answer:
78.5 cm^2[tex]solution \\ diameter = 10 \: cm \\ radius = \frac{10}{2} = 5 \: cm \\ area \: of \: circle = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {5}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 5 \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 25 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78.5 {cm}^{2} [/tex]
hope this helps...
Good luck on your assignment...
solve 0.06*0.7+0.03=0.06*(-0.2)+0.03
7. Express as a fraction in simplest form: 4 to 36
Answer:
4/36=2/18=1/9=1/9=1/9=1/9=1/9=1/9
Answer:
1/9
Step-by-step explanation:
4:36 as a ratio can be written in the form of a fraction.
4/36
Simplify the fraction using the highest common factor.
4÷4/36÷4
1(4)/9(4)
The 4's cancel.
1/9
Make L the subject of the formula T=2π√L\G
Answer:
[tex]L=(\frac{TG}{2\pi })^2[/tex]
Step-by-step explanation:
[tex]T=2\pi \sqrt{L}/G[/tex]
[tex]TG=2\pi \sqrt{L}[/tex]
[tex]\frac{TG}{2\pi } =\sqrt{L}[/tex]
[tex](\frac{TG}{2\pi })^2 =L[/tex]
Answer:
[tex]l = {( \frac{tg}{2\pi}) }^{2} [/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
Which statement is NOT true?
Answer:
A, a rhombus has all the properties of a square.
Step-by-step explanation:
Not all quadrilaterals will be the same
Use a= √a b= √5 c= √10
to work out the value of ac/b
Give your answer in its simplest form.
Answer:
a = √a b = √5 c = √10
ac/b = (√a)(√10)/√5
= √ 10 × a /√5
= √10a / √5
Rationalize the surd
√10a ×√5/(√5)²
= √50a /5
= 5√2a/ 5
= √2a
The final answer is √2a
Hope this helps
In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold the house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.
9514 1404 393
Answer:
£170,000
Step-by-step explanation:
Bianca bought the house for 1 +20% = 1.2 times Rafik's purchase price. She sold it for 1 -5% = 0.95 times what she bought it for. So, we have ...
(Rafik's purchase price)×1.2×0.95 = £193800
Rafik's purchase price = £193,800/(1.2×0.95) = £170,000
Rafik bought the house for £170,000.
You have a 90% as your grade and on your final you get 80%. Your current grade is 20%of your grade and your final is 80% of your grade. What percent for your grade would you get in the end?
Answer:
82%
Step-by-step explanation:
(20×90+80×80) / (20+80) = 8200 / 100 = 82.00
suppose f(x)=x^2-4.Find the graph of f(3x)
Answer:
3(x²-4) or 3x²-12
Step-by-step explanation:
x²-4 times 3 is equal to 3x-12 which is also 3(x²-12)
-67/50 + 1.5 - 100% =
Need help!
Answer:
-0.84
Step-by-step explanation:
hope ths helps i did the test btw :)
What is the measure of a 137 degree angle
Answer: 137 degrees
Step-by-step explanation:
It's in the sentences, the angle is 137 degrees
Hi can you help me with this question
Answer:
68 m²
Step-by-step explanation:
The area of the lawn is calculated as
area of garden - area of flower bed - area of vegetable patch
Calculating the area of each
area of rectangular garden = 14 × 10 = 140 m²
area of flower bed = [tex]\frac{1}{2}[/tex] × 3 × 8 = 12 m²
area of vegetable patch = [tex]\frac{1}{2}[/tex] × 10 × (5 + 7) = 5 × 12 = 60 m²
Thus
area of lawn = 140 - 12 - 60 = 68 m²
In a lottery, the top cash prize was $693 million, going to three lucky winners. Players pick four different numbers from 1 to 51 and one number from 1 to 48. A player wins a minimum award of $ 400 by correctly matching two numbers drawn from the white balls (1 through 51) and matching the number on the gold ball (1 through 48). What is the probability of winning the minimum award?
Answer:
0.00054
Step-by-step explanation:
Gold ball: we have one chance of choosing the correct ball from 1 to 48, so the probability is 1/48
White balls: we will pick 4 numbers from 1 to 51, so the total possibilities of groups of numbers we can choose is a combination of 51 choose 4:
C(51, 4) = 51! / (4! * 47!) = 51*50*49*48/(4*3*2)
If we want to correctly guess two numbers, we have groups of 2 winning numbers in the 4 numbers we guess, so a combination of 4 choose 2, and we also have to incorrectly guess the other 2 winning numbers in the 47 remaining numbers we didn't choose, so a combination of 47 choose 2:
C(4, 2) = 4! / (2! * 2!) = 4*3/2 = 6
C(47, 2) = 47! / (2! * 45!) = 47*46/2
The probability of the white balls case is the two combinations above over the total number of cases (the first combination we calculated):
P = C(4, 2) * C(47, 2) / C(51, 4)
P = (6 * 47 * 46/2) / (51 * 50 * 49 * 48/(4*3*2))
P = (3 * 47 * 46 * 4 * 3 * 2) / (51 * 50 * 49 * 48) = 0.026
Then the final probability is the probability in the gold ball case times the probability in the white balls case:
P = (1/48) * (3 * 47 * 46 * 4 * 3 * 2) / (51 * 50 * 49 * 48) = 0.00054
In circle P, diameter QS measures 20 centimeters. Circle P is shown. Line segment Q S is a diameter. Line segment R P is a radius. Angle R P S is 123 degrees. What is the approximate length of arc QR? Round to the nearest tenth of a centimeter. 9.9 centimeters 19.9 centimeters 21.5 centimeters 43.0 centimeters
Answer:
Length of arc QR is [tex]\approx[/tex] 9.9 cm
Step-by-step explanation:
Given that circle P, i.e. center is point P.
QS is diameter with length 20 cm.
Given that RP is the radius with
[tex]\angle RPS = 123^\circ[/tex]
To find length of arc QR = ?
Solution:
Arc QR subtends the [tex]\angle QPR[/tex] on center P.
So, we need to find the angle [tex]\angle QPR[/tex] to find the length of arc QR.
QS is the diameter so [tex]\angle QPS = 180^\circ[/tex]
[tex]\angle QPS = 180^\circ = \angle QPR +\angle RPS\\\Rightarrow 180^\circ = \angle QPR +123^\circ\\\Rightarrow \angle QPR = 57^\circ[/tex]
Converting in radians,
[tex]\angle QPR = 57^\circ \times \dfrac{\pi}{180} = 0.99\ radians[/tex]
Using the formula for length of arc:
[tex]l = \theta \times R[/tex]
Where [tex]\theta[/tex] is the angle subtended by the arc on center.
R is the radius of circle.
Here,
[tex]\theta = 0.99\ radians\\R = 10\ cm[/tex]
[tex]l = 0.99 \times 10\\l = 9.9\ cm[/tex]
Length of arc QR is [tex]\approx[/tex] 9.9 cm
Answer:
9.9 cm
Step-by-step explanation:
If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.
Triangle DEF is an obtuse triangle.
The angle at vertex D is acute.
The angle at vertex F is obtuse.
Triangle DEF is a right triangle,
The angle at vertex D is obtuse.
Answer:
The angle at vertex D is acute
Triangle DEF is a right triangle
Step-by-step explanation:
Acute means that the angle is smaller that 90degrees
Correct statement are,
The angle at vertex D is acute.
And, Triangle DEF is a right triangle,
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.
We have to given that;
Triangle DEF has a 90° angle at vertex E.
Since, In triangle DEF,
vertex E has 90 degree.
So, Possible value of angle E and F are less than 90 degree
Hence, The angle at vertex D is acute.
And, Triangle DEF is a right triangle,
Learn more about the angle visit:;
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Please help I don't understand
Answer:
C
Step-by-step explanation:
i just took the test
I NEED HELP ASAP Which equation is equivalent to: −10r−6=115
A. 10r=−115+6
B. −10r=115+6
C. −10r=115−6
D. 10r=115−6
How many cubes are needed to build this figure?
Answer:
3 cubes are needed are needed to build the figure
Figure ABCD is a parallelogram.
What is the value of n?
3
5
17
25
Answer:
n is equal to 17 if you want you can plug the number to both equation and try to see if both are equal if they are equal that means you did it right
Answer:
n = 17
Step-by-step explanation:
The opposite angles of a Parallelogram are equal.
So,
4n-2 = 2n+32
4n-2n = 32+2
2n = 34
Dividing both sides by 2
n = 17
What is the standard form for the quadratic function? f(x)=(x−3)2+5 f(x)=x2−4
f(x)=x2+14
f(x)=x2−6x+14
f(x)=x2+6x−4
Answer:
x^2-6x + 14
Step-by-step explanation:
Here, we want to
write the standard form of the quadratic equation in the question.
This can be written by expanding the bracket.
F(x) = (x-3)^2 +5
F(x) = (x-3)(x-3) + 5
F(x) = x(x-3)-3(x-3) +5
F(x) = x^2 -3x-3x + 9 + 5 = x^2-6x + 14
The table represents an exponential function. What is the multiplicative rate of change of the function?
1/3
2/3
2
9
The multiplicative rate of change of the function is 2.
What is the rate of change?The pace at which one quantity changes in relation to another quantity is known as the rate of change function. The rate of change will be calculated by the ratio of the change of the dependent variable to the change of the independent variable.
Given that the values of the variables x and y are,
x y
1 6
2 4
The rate of change will be calculated as,
Rate of change = ( y₂ - y₁ ) / ( x₂ - x₁ )
Rate of change = (4 - 6 ) / ( 2 - 1 )
Rate of change = -2
The multiplicative rate of change will be 2.
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Your lawn mower mows a lawn in 1.5 hours. When your friend's lawn mower is used together with your lawn mower, the lawn is mowed in 0.5 hours. How long (in hours) does it take your friend's mower to mow the lawn when working alone?
Answer:
My friend's mower will take approximately 0.75 h to mow the lawn alone.
Step-by-step explanation:
To solve this problem we can use the idea of average speed and apply to this problem, using the appropriate formula shown below:
[tex]speed = \frac{distance}{time}[/tex]
Where each lawn mower has a speed at which they can mown, the distance is the lawn they're mowing and the time is how long they will take to do it. In the case where my equipment is working alone, its speed "x" can be modeled as below:
[tex]x = \frac{lawn}{1.5}[/tex]
When my friend's mower does the job, its speed "y" can be seen as:
[tex]y = \frac{lawn}{time}[/tex]
When both work together the speed can be seen as:
[tex]x + y = \frac{lawn}{0.5}[/tex]
Applying the first two equations on the second, gives us:
[tex]\frac{lawn}{1.5} + \frac{lawn}{time} = \frac{lawn}{0.5}\\\frac{1}{time} = \frac{1}{0.5} - \frac{1}{1.5}\\\frac{1}{time} = 2 - 0.667\\\frac{1}{time} = 1.333\\1.333*time = 1\\time = \frac{1}{1.333} = 0.75[/tex]
My friend's mower will take approximately 0.75 h to mow the lawn alone.
(05.06) coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below? (2 points) 2x + y 8
Answer: I'm not sure if this is right but I believe its point E, F, G, J
Step-by-step explanation:
Don't use this without getting confirmation I don't want to trip anyone up!
Answer: EFG is correct
Step-by-step explanation:
I did the quiz
Can someone make sure that I’m right I don’t know I think I’m wrong but I don’t know so can you help me
Answer:
2 sqrt(5)
Step-by-step explanation:
To find the geometric mean to two numbers
sqrt( x*y)
sqrt( 5*4)
sqrt(5) * sqrt(4)
2 sqrt(5)
Find the solution set for this equation.
-m2 - 5m=0
Separate the two values with a comma.
Enter the correct answer.
Answer:
m = -5, 0
Step-by-step explanation:
Easiest and quickest way to do this is to graph the equation and find where it intersects the x-axis. If not, then use completing the square or quadratic formula to find your roots.
Which of these sequences is a geometric sequence?
Answer:
The answer is option d.
Hope this helps you.
Answer:
D
3,9,27,81,243,729
Step-by-step explanation:
Please answer this equation ❤️
Answer:
h(2) = 0
Step-by-step explanation:
Simply plug in 2 in for x in h(x)!
h(2) = -(2) + 2
h(2) = -2 + 2
h(2) = 0
And we have our final answer!
Answer:
H(2) = 0
Step-by-step explanation:
All you need to do is replace x with 2 in the function and solve:
H(2)= -2 + 2
H(2)= 0
Pls answer i will mark as branliest
Answer:
A) Corresponding Angles Theorem (They correspond to each other)
B) If <XBC = 55 Then <XCB = 55
(Because they both are opposite to equal sides)
Now, Finding <BXC:
=> <BXC = 180-55-55 (Angles of a triangle add up to 180 degrees)
=> <BXC = 70 degrees
Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be twelve feet long.
Answer:
3s+15
Step-by-step explanation:
let 's' be the length of the shortest side
-> twice as long as the length of the shortest side =2s
->length of the longest side to be three more than twice as long as the length of the shortest side = 2s + 3
-> the third side= 12 feet
p = s + 12 + 2s+3
p= 3s+15