Here we have some given restrictions that affect the number of medals, using these, we want to find the maximum number of bronze medals that can be awarded.
We will find that:
The maximum number of bronze medals that can be awarded is 535
Now let's see how we can get that.
Let's define the variables:
G = number of gold medals.
S = number of silver medals.
B = number of bronze medals.
Now we can see what information we have.
There are 2021 participants.
The number of silver medals is at least twice the number of gold medals.
S ≥ 2*G
The number of bronze medals is at least twice the number of silver medals:
B ≥ 2*S.
The number of all medals is not more than 40% of the number of participants.
The total number of medals is (G + S + B)
40% of the total number of participants is:
(40%/100%)*2021 = 0.4*2021 = 808.4
Then we have:
G + S + B ≤ 808.4
We can rewrite the above inequality as:
G + S + B ≤ 808.
Then we have 3 inequalities:
S ≥ 2*G
B ≥ 2*S
G + S + B ≤ 808
Now we want to maximize the number of gold medals.
This means that the total number of medals should be exactly 808 (the maximum number of total medals) so we have:
G + S + B = 808.
Also, if we want to maximize the number of gold medals, then we need to minimize the number of silver medals and the number of bronze medals, such that we get:
S = 2*G
B = 2*S
Now we have 3 equations:
G + S + B = 808
S = 2*G
B = 2*S
Replacing the third equation in the first one, we get:
G + S + 2*S = 808
G + 3*S = 808
Now we can replace:
S = 2*G
in the above equation to get:
G + 3*(2*G) = 808
G + 6*G = 808
7*G = 808 =
G = 808/7 = 115.43
But we can have 0.43 of a gold medal, so we need to round down to the next whole number:
G = 115
Now, with this restriction, we want to find the maximum number of bronze medals.
This means that we need to minimize the number of silver medals, so we use:
S = 2*G = 2*115 = 230
And the number of bronze medals will be such that:
B + G + S = 880
B + 115 + 230 = 880
B = 880 - 115 - 230 = 535
The maximum number of bronze medals that can be awarded is 535
If you want to learn more, you can read:
https://brainly.com/question/23206637
Name a pair of adjacent complementary angles
9514 1404 393
Answer:
∠LJM and ∠MJN
Step-by-step explanation:
Ray JL forms a pair of right angles at J on line KN. Ray JM divides one of those right angles into two adjacent angles with a sum of 90°. Those two angles are adjacent complementary angles. They are ...
∠LJM and ∠MJN
which of the following equations represents the graph below
Answer:
Step-by-step explanation:
answer B
since for all real positive r, r^x >0
The unique function who give a negative answer is f(x)=-3* 2^x
In how many days could 20 boys do a peice of work which 25 boys can do in 32 days ?
baiiiiwiedujjjdjdhsb20
How do write nine billion, seven hundred million, forty-five thousand, three hundred six in standard form
Answer:
9,700,045,306
Step-by-step explanation:
there you go!
Step-by-step explanation:
nine billion, seven hundred million, forty-five thousand, three hundred six
9,700,045,306
NẾU BẠN BÌNH CÓ 34 QUẢ TÁO, BẠN AN LẤY ĐI TỔNG CỘNG 23 QUẢ. HỎI AN CÓ BAO NHIÊU QUẢ TÁO
Answer:
Bạn An có 23 quả táo
Step-by-step explanation:
Vì AN lấy đi 23 quả táo nên số táo vẫn bằng như thế
Is 15.7 an integer ,whole number,natural number
How do you make these diagrams??
Answer:
a. ▲▲△
b. ▲▲▲▲▲▲▲▲▲△△△△△△△
c.▲▲▲▲▲▲ △△△
Find the measures of unknown angles.
Answer:
hope this helps you
god bless you
Bananas are $0.59/pound what is the constant of proportionality?
Answer:
Step-by-step explanation:
y = k x
Total cost = y
number of pounds = x
constant = 0.59
Equation
y = 0.59 x
will mark brainliest please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
32 dollar
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
I need help dont just add both numbers ill give extra hundrend after you answer
Answer:
28
Step-by-step explanation:
According to the question,
2 helmets and 1 football cost $80, while 1 helmet and 2 football cost $76
Let x represent cost of football and let y equal cost of helmet.
Write the system of equations,
[tex]x +2 y = 80[/tex]
[tex]2x + y = 76[/tex]
Eliminate the x variable by multiplying the top equation by -2
[tex] - 2x - 4y = - 160[/tex]
[tex]2x + y = 76[/tex]
Add both equations.
[tex] - 3y = - 84[/tex]
[tex]y = 28[/tex]
So one helmet cost $28
I'm backk!! School has officially started... here we go again
+*♡ FREE QUESTION!! ♡*+
congrats? Im not sure what to say.
find x step by step
Answer:
[tex] \frac{4 + (x + 1)}{x + 1} = \frac{16}{12} \\ \\ \frac{5 + x}{x + 1} = \frac{16}{12} \\ \\ 12(5 + x) = 16(x + 1) \\ 60 + 12x = 16x + 16 \\ 4x = 44 \\ x = 11[/tex]
Answer:
x = 11 cm
Step-by-step explanation:
Segments DE and BC are parallel (that's what the arrows tell you), so there are two similar triangles formed.
[tex]\triangle{ADE} \sim \triangle{ABC}[/tex]
Corresponding sides are in proportion, so
[tex]\frac{AD}{AB}=\frac{12}{16}[/tex]
The length of AB is (x + 1) + 4 = x + 5, and 12/16 simplifies to 3/4, so
[tex]\frac{x+1}{x+5}=\frac{3}{4}[/tex]
"Cross multiply" to get
[tex]4(x+1)=3(x+5)\\4x+4=3x+15\\4x=3x+11\\x=11[/tex]
help me please???????
Answer:
(√2) / 3
Step-by-step explanation:
√(2/9) =√(2/3^2) =(√2)/3
Answer:
It is
[tex]{ \underline{ \sf{ \frac{ \sqrt{2} }{3} }}}[/tex]
Step-by-step explanation:
[tex] \sqrt{ \frac{2}{9} } \\ \\ = \frac{ \sqrt{2} }{ \sqrt{9} } \\ \\ = \frac{ \sqrt{2} }{3} [/tex]
How do you simplify a fraction with a denominator of a variable like this
6x/x
Step-by-step explanation:
The x's will simply cancel each other out and you will be left with a 6
hope it makes sense
:)
(x-2)/(x+1)=1/2 . find x
Answer:
x=5
Step-by-step explanation:
(x-2)/(x+1)=1/2, we use that a/b = c/d is the same as a*d = c*b
2*(x-2) = 1* (x+1), distribute multiplication over subtraction
2x -4 = x +1 , subtract x and add 4 to both sides
2x -x = 1 +4, combine like terms
x = 5
Answer: x = 5
Solve:
Given
(x - 2) / (x + 1) = 1/2
Cross multiply applied
1 (x + 1) = 2 (x - 2)
Expand parentheses and apply the distributive property
x + 1 = 2x - 4
Add 4 on both sides
x + 1 + 4 = 2x - 4 + 4
x + 5 = 2x
Subtract x on both sides
x + 5 - x = 2x - x
x = 5
Check:
Left-hand side = (x - 2) / (x + 1) = (5 - 2) / (5 + 1) = 3/6 = 1/2
Right-hand side = 1/2
1/2 = 1/2
Hope this helps!! :)
Please let me know if you have any questions
plz help!! will mark brainliest
Step-by-step explanation:
x + 4 + 3x = 72 Let's agroup all the x
4x + 4 = 72 Subtract 4 on both sides
4x = 68 Divide both sides by 4
x = 17
x + 3 + x – 8 + x = 55 Let's agroup all the x
3x + 3 – 8 = 55 Solve 3 – 8
3x – 5 = 55 Add 5 on both sides
3x = 60 divide both sides by 3
x = 20
4 ÷ 1 1/8 Answer must be in simplest form
Answer:
4÷ 1 1 /8 = 32 /9 = 3 5 /9
What is the area of a triangle if height is 4cm find the base also plsss help me please
Answer:
This is the formula u can use but the parameters are not complete
Step-by-step explanation:
b=2 A/h
Answer:
8 cm^2.
Step-by-step explanation:
Area = 1/2 * base * height
= 1/2 * 4 * 4
= 8.
can someone please help me with this?
Answer:
These are the missing numbers
Sec1
A. 12, 29/2, 17 (arithmetic)
C. 3/16, 3/32, 3/64 (geometric)
D. 17, 33, 65 (neither)
Sec2
A. 8, 48 (growth)
B. 16, 32 (growth)
C. 1, 2 (rate)
Step-by-step explanation:
Section 1
A. add by 2.5 or 5/2
C. multiply by 1/2
D. double the value-added
Section2
A & B. multiply by 2
C. add 1/2
Ted mixed together 3 gal. of Brand A fruit
drink and 6 gal. of Brand B fruit drink
which contains 20% fruit juice. Find the
percent of fruit juice in Brand A if the
mixture contained 25% fruit juice.
Answer:
The mixture for Brand A fruit is 5%.
PLEASE HELP FAST
bx = -5
A marathon is a 26-mile race. An athlete is running a marathon that eventually finishes at a local high school. After x minutes, the distance the athlete is from the school is given by y(in miles), where x+10y=260
If the runner ran for 40min from the start line, what is the remaining distance between the runner and the school?
Step-by-step explanation:
by deleted user on here.
simplify the following ；giving your answers in index form
Answer:
[tex] \frac{ {6}^{10} }{ {6}^{3} } \\ = \frac{ {6}^{3} \times {6}^{7} }{ {6}^{3} } \\ = {6}^{7} \\ thank \: you[/tex]
hey please help i’ll give brain
Hi ;-)
[tex]3\cdot\boxed9=9\cdot3[/tex]
Answer:
3 × 9 = 9 × 3
Step-by-step explanation:
a father has 4,500 naira to distribute among his children how much would a child with 30percent share get. how much would a child with 45percent get
Answer:
30%=1350
45%=2025
Step-by-step explanation:
30% of 4500 = 0.30 × 4500
=1350
45% of 4500 = 0.45 × 4500
=2025
a) If 8 workers can complete a piece of work in 18 days, how many workers are required to complete the work in 12 days? b) 20 labourers comnloto the . 1 T
Answer:
12 workers are required to complete the work in 12 days
Which answer choice correctly shows 450 written as a Roman numeral?
A. CCCCL
B. DMC
C. DCL
D.CDL
Answer:
D.(CDL)
Step-by-step explanation:
Answer:
CDL
Step-by-step explanation:
C is 100
D is 500
500-100=400
L is 50
400+50=450
A car traveling 55.0 miles per hour. Convert this to meters per second.
Answer:
24.587
Step-by-step explanation:
divide the speed value by 2.237
what is 2 ÷ 3 = as a fraction???
Answer:
[tex]2 \div 3 \\ \frac{2}{3} [/tex]