Of the 10,000 participants in the Cooper Run/Walk, 42% were runners and one-third of the runners were female. Sally, a female runner, finished faster than exactly 90% of the female runners. What is the greatest number of female runners who could have finished faster than Sally?
Answer: 140 female runners
Step-by-step explanation:
First find out the number of runners:
= 42% * 10,000
= 4,200 runners
Then find out the number of female runners:
= 4,200 * 1/3
= 1,400 female runners
Sally finished faster than 90% of the female runners which means that 10% finished faster or at the same time as her.
= 10% * 1,400
= 140 female runners
A truck can be rented from Company A for $140 a day plus $0.40 per mile. Company B charges $60 a day plus $0.50 per mile to rent the same truck. Find the numbers of miles In a day at which the rental costs for Company A and B are the same. (PLEASE ANSWER I CANT FAIL THIS SEMESTER FRFR)
Answer:
please see attached picture
Aliyah bought a car for $32,000. It is now worth $5000 less than half of what she purchased it for. To the nearest tenth of a percent , find the percent decrease in the value of the car.
Answer:
65.6% is the answer.........
5. Ms. Peterson earns $18 per hour as a softball team coach and $25 per hour as a math tutor. Last week, she worked
both jobs for a total of 30 hours and earned a total of $610. How long did she do each job?
Answer: 18,20
Step-by-step explanation:
Please help.
Algebra.
Help !!!!! Please need help
Answer:
1. .monthly payment
2. $276 club. $36 fee
3. you got this
What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y +18 = 0?
The radius of the circle will be √-18 and the center is ( -3,-5).
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
This equation is in what’s called general form. To convert to standard form (the form needed to graph: (x-h)²+(y-k)²), you would need to first put the x’s next to each other and the y’s next to each other and also put the 18 on the other side.
The radius of the circle will be calculated as below:-
1. x²+6x+y²+10y=-18
2. Complete the square: (b/2) x 2
(x²+6x+9)+(y²+10y+25)=-18
(x+3)²+(y+5)²= -18
Here the center coordinates are ( -3,-8) and the radius is √-18.
Therefore, the radius of the circle will be √-18 and the center is ( -3,-5).
To know more about circles follow
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-5x + 3y = -8
3x - 7y= -3
Answer:
x = 5/2 y = 3/2
Step-by-step explanation:
You need to write what the question is besides the information in the problem. I assume the question is to find the values of x and y.
Going on that premise, Let equation (1) be -5x + 3y = -8 and
equation (2) be 3x - 7y = -3
Lets multiply (1) by 3 and (2) by 5 and we get equations (4) and (5)
(4) -15x + 9y = -24 and (5) 15x - 35y = -15 Now add (4) and (5)
-15x + 9y = -24
15x - 35y = -15
-26y = - 39
y = 3/2 Now substitute y = 3/2 in equation (1). -5x + 3)(3/2) = -8
-5x + 9/2 = -8
-10x + 9 = -16
-10x = -25
x = -25/-10 = 5/2
x = 5/2 y = 3/2
Check: Substitute your answers into equation (2) and see if they work.
3(5/2) -7(3/2) = 15/2 - 21/2 = -6/2 = -3 Hooray! We have the correct values for x and y that makes each equation true
Christine bought 4 CDs that were each the same price. Including sales tax, she paid a total of $54.40. Each CD had a tax of $1.30. What was the price of each
CD before tax?
Answer:
12.30
Step-by-step explanation:
1.30x4=5.20
54.40-5.20=49.20
49.20/4= 12.30
sorry again but i'm having trouble on this one
Answer:
m∠PNO = 60°
m∠O = 33°
Step-by-step explanation:
∡NPO is 87° because it's a vertical angle with the 87° angle
3) ∡PNO is supplementary to the 120° angle (they must add to 180°)
4) m∠O = 180 - (60 + 87) = 33
Find the sum or difference
1/2 (2r + 4) - 1/4 (16 - 8r)
Answer:
= 3r - 2
Step-by-step explanation:
would you like an explanation or are you fine!
56000 isn't even an answer my guy
Hans spent three days baking 224 cookies. On the second day, he baked twice as many as he did on the first day. On the third day, he baked half as many as he did on the first day.
How many cookies did he bake on the second day?
Answer:
He baked 448 on the second day
Step-by-step explanation:
Why because he Baked 224 on the 1st day 448 on the second day and 112 on the 3rd
Answer:
128 on the second day
Step-by-step explanation:
Spencer divided his baseball cards equally among 4 friends each friend received 16 card to find the number of card C that spencer had originally he solve the equation c/4=16 how many baseball cards did spencer originally have
Answer:
64
Step-by-step explanation:
i need help on this?
Answer: 0.15
Step-by-step explanation:
Ivan plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
Answer:
n = 3 x m
Step-by-step explanation:
n will represent the total movies he will watch in m month according to your plan of watching three movies each month.
Please help.
Algebra.
Answer:
7-D)8[tex]u^{3} v^{6}[/tex]
8-B)[tex]u^{6} v^{9}[/tex]
Step-by-step explanation:
Hope this helps! :)
Find the area of the composite figure
Answer:
45
Step-by-step explanation:
last year there were b pies baked for the bake sale. This year there were 194 pies baked. Using b write an expression for the total number of pies baked in the two years
Answer:
b+194=pies
Step-by-step explanation:
take the number of pies baked this year then add the b and then you get p(pies)
Write an equation of the line that passes through (−2,1) and is parallel to the line y=3x−4.
Equation: y=
Answer:
y = 3x+7
Step-by-step explanation:
the slope of parallel lines are the same so the slope is 3
y-y1 = 3(x - x1)
y- 1 = 3(x- -2)
y-1 = 3x +6
y = 3x +7
a term that has a fixed value and does not contain a variable.
[tex] \huge \blue{\tt{Answer:}} [/tex]
Constant term3x - 3y = 9 for D = (0,3,8)
Answer:
3(x-y)
Step-by-step explanation:
Factorize completely
80p2 - 180r2
Answer:
80p2 - 180r2
20(4p²-9r²)
20(2p+3r)(2p-3r)
Answer:
20(2p - 3r)(2p + 3r)
Step-by-step explanation:
Given
80p² - 180r² ← factor out 20 from each term
= 20(4p² - 9r²) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b)
4p² - 9r²
= (2p)² - (3r)² ← with a = 2p and b = 3r
= (2p - 3r)(2p + 3r)
Thus
80p² - 180r² = 20(2p - 3r)(2p + 3r) ← in factored form
how many solutions does y=-7x+8 y=-7x-8 have?
Answer:
no solutions
Step-by-step explanation:
Given the 2 equations
y = - 7x + 8 → (1)
y = - 7x - 8 → (2)
Substitute y = - 7x - 8 into (1)
- 7x - 8 = - 7x + 8 ( add 8 to both sides )
- 7x = - 7x + 16 (add 7x to both sides )
0 = 16 ← not possible
This indicates the system has no solutions
Hey there!
The answer to your question is [tex]no[/tex] [tex]solutions[/tex]
To solve this, we will set the equations equal to eachother. We know that since the two expressions, [tex]-7x+8[/tex] and [tex]-7x-8[/tex] both equal [tex]y[/tex], then the expressions are equal. (Somebody comment what property that is, I forgot what it's called) So:
[tex]-7x+8=-7x-8\\[/tex]
Add [tex]8[/tex] to both sides:
[tex]-7x+16=-7x[/tex]
Add [tex]7x[/tex] to both sides:
[tex]16 = 0[/tex]
Therefore, there are [tex]no[/tex] [tex]solutions[/tex].
Have a terrificly amazing day!
2 5/6 * 2/5
HELP ASAP
Answer:
Step-by-step explanation:
17/5 * 2/5 = 34/25= 1 19/25
8. Simplify 5mn2 - 8m + mn2.
Answer:
Step-by-step explanation:
[tex]5mn^2-8m+mn^2\ \\ 6mn^2-8m\\ \\ 2m(3n^2-4)[/tex]
If 5 identical USB sticks cost £49, how much does 1 USB stick cost
HELP
Answer:
£9.80 each
Step-by-step explanation:
49/5 which is 9.80
Answer:
if five usb stick cost= £49
so the value of 1 usb = 49/5
cost of 1 usb stick =£9.8
What is the value of the 5 in 590
Answer:
500
Step-by-step explanation:
it is a 3 digit number which means it is in the hundreds
Why is it possible for the solution to a system of linear equations with two variables to be expressed as an ordered pair?
Step-by-step explanation:
ok lets imagine if the variables were x and y
the equation would be as follows
y=3x+2
y=-1/3x+7
The answer will be an ordered pair, (x,y) because that specifies exactly where on graph, instead of a general location which you would get if you only had the x or only had the y
Answer:
1y2x
Step-by-step explanation:
because I'm handsome
If f(x)= 3x -1 and g(x) x+2 find (f-g)(x)