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
Aloiza [94]
3 years ago
6

8 of the 12 students on a soccer team are on the honor roll. if the relationship on this team is proportional to the number of h

onor roll students on the entire soccer league, determine the number of honor roll students in the league if there are 400 players​
Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer:

267 students

Step-by-step explanation:

Number of students in a team (t) is proportional to number of honor roll students (n)

Mathematically, t = kn (k is constant

When t = 12, n = 8

k = t/n = 12/8 = 1.5

When t = 400

n = t/k = 400/1.5 = 267 (to the nearest whole number)

You might be interested in
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

x=y+25 ----> equation B

substitute equation B in equation A

186=(y+25-10)(y-10)

solve for y

186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

x=16+25=41

therefore

The original length was 41 inches and the original width was 16 inches

3 0
3 years ago
sally gave her brother 3.95 in quarters and dimes. if the number of quarters is 6 more then the number of dimes, how many quarte
iragen [17]
Let q be the number of 25 cent coins.
Let d be the number of 10 cent coins.
0.25q+0.10d= 3.95...(1)
q-d=6...(2)

(2)->    q-d= 6
       q-d+d= 6+d
              q= 6+d...(2a)

(2a)-> (1)      0.25q+0.10d=3.95
              0.25(6+d)=0.10d= 3.95
           1.95+0.25d+0.10d= 3.95
                               0.35d= 3.95-1.5
                       0.35d/0.35= 2.45/0.35
                                      d= 7...(3)

(3)->(2)     q-d= 6
                 q-7= 6
                    q=6+7
                    q= 13
There are 13 quarters and 7 dimes.
7 0
3 years ago
8 w + 12 = -12<br> Helpppppp
aliina [53]

Answer:

w = -3

Step-by-step explanation:

8w + 12 = -12

use inverse operations:

8w + 12 = -12

-12         -12

8w = -24

/8    /8

w = -3

7 0
3 years ago
Read 2 more answers
What is 3.341 to the nearest tenth.
Mumz [18]
3.341 to the nearest tenth is 3.3
3 0
3 years ago
Read 2 more answers
A rectangle's length is twice its width. if the perimeter is 66 cm find the width of the rectangle
Lesechka [4]
Perimeter = 2L + 2W

Let x = width and let 2x = length 

Perimeter = 66

2x + 2(2x) = 66

2x + 4x = 66 --> 6x = 66 --> x = 66/6 --> x = 11

The width of the rectangle is 11 cm.

6 0
3 years ago
Other questions:
  • Solve for x. <br><br> 89(54x−36)+2=−34(−40+16x)+90x
    9·1 answer
  • A small company 's net income for the first 6 months of the year was 76.500 and for the last six months it was 100,000 . What is
    13·1 answer
  • Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if th
    10·1 answer
  • Every employee works 7 hours per day. every employee works 5 days per week. every employee works 49 weeks per year. how many day
    6·2 answers
  • 15 points+brainliest!! please help asap, this is due tonight please!!
    12·1 answer
  • Using the piling method, which of the following can be constructed from polygons alone and discs alone
    5·2 answers
  • (−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}
    8·1 answer
  • I dont know i need help please
    9·1 answer
  • If a dice is thrown, then choose the correct statement from below.
    15·1 answer
  • Find the exact value by using a half-angle identity.<br><br> tan seven pi divided by eight
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!