Eve is organizing a race to raise money for a local children's hospital. She makes $20 for each 5K participant and $45 for each 10K participant. Her goal is to raise $9,500. If x represents the number of participants in the 5K race and y represents the number of participants in the 10K race, the linear equation for the given scenario is ______________. If Eve raises exactly $9,500, is it possible for there to be 220 participants in the 5K race? (yes or no)
Answer: [tex]20x +45y=9500[/tex] is the linear equation.
yes, it is possible.
Step-by-step explanation:
given data:
we were told that she would make $20 for each 5K participant and $45 for each 10K participant.
cost of each 5k participant = $20
cost of each 10k participant = $45.
her target = $9500
solution:
let y represent the 10k
let x represent the 5k participant
the linear equation for this scenarios is
[tex]20x +45y=9500[/tex]
(b.) possibility of having 220 participant in the 5k race.
[tex]\\20(220) +45y=9500\\4400 + 45y = 9500\\45y = 9500- 4400\\45y = 5100\\y = \frac{5100}{45} \\y = 113[/tex]
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.
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.
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.
2. Are these two ratios equivalent? 8/5, 24/20
Answer: No
Step-by-step explanation:
I took a test and this answer was correct.
The average salary of all General Motors workers is $38,000 . This value describes a
A) sample statistics
B) population parameter
why?
Please help i can't figure it out I've gone brain dead (︶^︶)
which statement correctly compares the function shown on this graph with the function y = 7x - 10
Answer:
It might be A.
Step-by-step explanation:
Answer:
I believe it is a or c
Step-by-step explanation:
If AABC = ADEF, which segment is congruent to AC?
Answer:
Segment DF
Step-by-step explanation:
The corresponding vertices are in the same order in both triangles.
ABC
DEF
Segment AC is congruent to segment DF.
Help!!!!!!!!!!!!!!!!!!!!
Answer:
500w + 25 = 200
Step-by-step explanation:
"He withdraws $25 per week..." <------
30 points to someone who answers with the work for this
An icecream shop charges $3.39 for a dish of ice cream. A costomer can also order toppings for $0.59 each. If x represents the number, which expression can be used to determine the total charge in dollars, for a dish of ice cream with x toppings
Answer:
3.39 + 0.59x
Step-by-step explanation:
Cost of a dish of ice cream = $3.39
Cost of toppings = $0.59 each
x = number of toppings
which expression can be used to determine the total charge in dollars, for a dish of ice cream with x toppings
Total charge for a dish of ice cream with x toppings = 3.39 + 0.59x
The expression is 3.39 + 0.59x
Which number is the closest approximation to the value of [tex]\sqrt{83}[/tex]?
A) 9.1
B) 9.2
C) 41.5
D) 41.6
I'm sorry that I'm asking this, I feel odd doing it, but I'm tired. So what is the value of |-8|
| - 8 | means that -8 is 8 units far away from 0.
We use the units to answer, so we say that | - 8 | = 8.
The Absolute Value has defines and they are for basics.
[tex]|a| = a\\|-a| = a\\-|a|=-a\\-|-a|=-|a|=-a[/tex]
These are just basics for absolute value.
Therefore, | - 8 | = 8.
solve: 3x-8y=-33
solve: 9x+8y=29
show work please
Solve the following equation for x:
-3 (x - 4)+ 24x = 4(5 – 2)+7x
Easy points if u know it
Answer:
True
Step-by-step explanation:
5x + 2 = 17
Subtract 2 from both sides
5x = 15
Divide both sides by 5
x = 3
Plug this number into the next equation and see if it is true
10x + 4 = 34
10(3) + 4 = 34
30 + 4 = 34
34 = 34
This is a true equation, so the the answer is true.
Answer:
True
Step-by-step explanation:
⇒ This is true because the whole equation 10x + 4 = 34 is 2 times more than the other equation 5x + 2 = 17.
⇒ You can see that by multiplying the whole equation 5x + 2 = 17 by 2:
2(5x + 2 = 17)
⇒ To get:
10x + 4 = 34
So both equations are equivalent, which means that the answer is true.
Hope this helps! :)
please help!
What is the equation written in vertex form of a parabola with a vertex of (-5, -4) that passes through (-7, 8)?
Answer:
y= 3(x+5)^2 -4
2. You have saved some money. Your friend has saved $20 more than you.
Together you have saved $280. How much have you each saved?
What is the answer
I would appreciate it if a person could answer this question
Answer: m=-10/4, m=-5/2, and -5/4+m=-15/4
Hope this helps :)
what is m?
please help
Given:
[tex]\Delta ABC\sim \Delta QRS[/tex]
To find:
The missing value of m.
Solution:
We have,
[tex]\Delta ABC\sim \Delta QRS[/tex]
Corresponding parts of similar triangles are proportional.
[tex]\dfrac{AB}{QR}=\dfrac{AC}{QS}[/tex]
Putting the given values, we get
[tex]\dfrac{m}{10}=\dfrac{2}{4}[/tex]
[tex]\dfrac{m}{10}=\dfrac{1}{2}[/tex]
Multiply both sides by 10.
[tex]\dfrac{m}{10}\times 10=\dfrac{1}{2}\times 10[/tex]
[tex]m=5[/tex]
Therefore, the value of m is 5.
where does the last one go???
Answer:
is goes to ¨¨not a function¨¨
Step-by-step explanation:
Your bedroom is a square and each side of your bedroom is 8 feet long what is the area of your bedroom
Answer: 64 square feet
Step-by-step explanation:
The radius of a circle is 3 ft. Find its area to the nearest tenth.
Answer:
9.428 is the answer
Step-by-step explanation:
9.428 is answer
Answer:
the area = 28.3
Step-by-step explanation:
A=
\,\,\pi \cdot \color{red}{3}^{2}
π⋅3
2
\color{purple}{A}=
A=
\,\,\pi \cdot 9
π⋅9
Square 3
\color{purple}{A}=
A=
\,\,9\pi
9π
Commutative property of multiplication
\color{purple}{A}=
A=
\,\,28.27433388...
28.27433388...
Multiply, using the π button on your calculator
\color{purple}{A}=
A=
\,\,28.3
28.3
Round to the nearest tenth
Does anybody have an answer to this? BE QUICK PLEASE!
Answer:
6
Step-by-step explanation:
4.5 dived by 3/4 equals 6
Find the area of a circle with a circumference of \blueD{18.84}18.84start color #11accd, 18, point, 84, end color #11accd units.
Answer:
28.26 u²
Step-by-step explanation:
What we know:
A circle has a circumference of 18.84 u.
That means the diameter is 6, and the radius is 3.
The area of a circle can be found with: πr²
3.14(3²)
3.14(9)
28.26 u²
The area of the circle is 28.26 square units when the circumference of circle is 18.84 units.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The circumference of the circle is 18.84 units
We have to find the area of circle
To find area we need to know the radius
Circumference of circle = 2πr
18.84 = 2πr
18.84 = 2×3.14 r
18.84=6.28 r
Divide both sides by 6.28
r=18.84/6.28
r=3
Now let us find area
Area = πr²
=3.14×3²
=9×3.14
=28.26 square units
Hence, the area of the circle is 28.26 square units when the circumference of circle is 18.84 units.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ2
need help with my final !
Answer:
Its a, c, and e
Step-by-step explanation:
Your image is too small, so I'm guessing for you if that helps
What is 30.16=17.5+5x?
Answer:
5x+17.5+30.16=2.532
Step-by-step explanation:
-17.5 from 30.16 you get 12.66
Divide 5 by 12.66 you get 2.532
Solve the compound inequality: 2x - 4 5
Answer: 2x-45
Step-by-step explanation:
Let's simplify step-by-step.
2x−45
There are no like terms.
Answer:
=2x−45
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The slope is 1/3
Rise/run
rises 1 and runs 3.
Positive slope.
Hope this helps and branliets would be appreciated
PLEASE HELP
9 increased by the product of 4 and v
Answer:
4v + 9 or 9 + 4v
Step-by-step explanation:
increased means plus
the product of is multiplication
im too tired to explain annything else
gn bro
Is this a function of not??
Answer:
Yes
Step-by-step explanation:
A vertical line would only touch 1 point at a time. Please vote brainliest
Answer:
no it is not fiction
Step-by-step explanation:
im not very sure so wait on another answer
For an angle with measure x in a right triangle,
sin x= 15/17
and
and tan x= 15/8 . What is the value of
cos x ?
Answer:
cos x=8/17
Step-by-step explanation:
soln:
given,
sin x(p/h)=15/17
•°•p=15 and h=17
tan x(p/b)=15/8
•°•p=15 and b=8
cos x=?
we know,
cos x=b/h
•°•cos x=8/17
The palm tree is 25 feet tall. How many
yards tall is the palm tree?
Answer:
8.333 yards
Step-by-step explanation:
you can round it up if you want .