1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetlanka [38]
3 years ago
6

You are the administrator of an annual essay contest scholarship fund. This year a $90,000 college scholarship is being divided

between the top two contestants so that the winner receives five times as much as the runner-up. How much will each contestant receive (in dollars)?
runner-up amount :

winner amount:
Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

Answer:

Runner-up: $15,000

Winner: $75,000

Step-by-step explanation:

Let's create an equation for this problem.

Let x=the amount the runner-up receives

Let 5x=the amount the winner receives

Then,

x+5x=90,000

6x=90,000

x=15,000

5x=75,000

You might be interested in
Answers:
ryzh [129]
Answers:

☆☆☆☆☆☆☆☆aTriangle ZYX
bTriangle YZX
cTriangle XZY
dTriangle XYZ
4 0
3 years ago
5/8 + -3/4 i don’t know this
Deffense [45]

Answer:

-0.125

Step-by-step explanation:

6 0
3 years ago
Evaluate f(x) = 0.5x-4 for x=10
Valentin [98]

Answer:

f=-9

Step-by-step explanation:

8 0
3 years ago
Plz help! 20 points :)
rewona [7]
You are basically looking for the y-intercept which equals 4. Because you replace x with 0 so -10(0)=0 so the answer is y=4
8 0
3 years ago
Read 2 more answers
Anyone willing to help? Question 2 only
Lady_Fox [76]

Answer:

Step-by-step explanation:

Hello,

(a) Peter cycle at an average speed of x km/h

it means that he is doing x km in 1 hour

so to do 40 km he needs 40/x hour

(b) it means that he was doing x-5 km/h

so it took 40/(x-5) hour

(c) 1 hour 20 minutes correspond to 1+20/60=1+1/3=4/3 hour as 1 hour is 60 minutes

so we can write

40/(x-5)=40/x+4/3

3*40x=3*40(x-5)+4x(x-5) \ \ \ \text{multiply by 3x(x-5) both sides}\\ 120x =120x-600+4x^2-20x\\4x^2-20x-600 = 0\ \ \ \text{divide by 4} \\ x^2-5x-150=0

(d)

x^2-5x-150=0\\ x^2+10x-15x-150=0\\ x(x+10)-15(x+10)=0\\ (x-15)(x+10)=0\\\\ x = 15 \ \ or \ \ x=-10

the speed is positive so we take the positive solution which is 15

the speed is 15 km/h

hope this helps

do not hesitate if you need more information

7 0
4 years ago
Other questions:
  • Pam’s annual gross pay is $48,000. If she is paid biweekly, what is her gross pay on each pay check?
    11·1 answer
  • WILL MARK BRAINLYLIST PLZZ HELP!!
    11·2 answers
  • Need HELP!!!! Write the point-slope form of the line that passes through (5, 5) and is perpendicular to a line with a slope of 1
    13·1 answer
  • Michelle has eight pencils Michael has nine pencils Less how many pencils does Michelle have
    10·1 answer
  • What is the scale of a drawing where a 6 meter wall is 4cm long<br> 1 cm=_____________________ m
    9·2 answers
  • Eugene wants to buy jeans at a store that is giving $10 off everything. The tag on the
    14·1 answer
  • What ratio will have a trail with 7:2
    14·2 answers
  • Sara wants to buy a tennis racket for $120. She has $40 and is saving $10 every week. The owner of the store decreases the racke
    15·1 answer
  • Can someone who understands this help me?????? Thank you so much!!!!!!!!
    8·1 answer
  • Luke went shopping for a new pair of pants. The listed price of the pair of pants was $21, but the price with tax came to $22.05
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!