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jeka57 [31]
3 years ago
8

a school had 690 students sign up for the trivia teams if they wanted to have nine teams with the same number of students on eac

h team how many more students would need to sign up
Mathematics
1 answer:
Anna11 [10]3 years ago
8 0

Answer:

30 more students

Step-by-step explanation:

690 + 30 = 720

720 / 9 = 80


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6/7 * 7/4 = 42/28 = 1 1/2...so a compact car weighs 1 1/2 tons or 1.5 tons
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8 0
2 years ago
Twin brothers, Billy and Bobby, can mow their grandparent’s lawn together in 63 minutes. Billy could mow the lawn by himself in
Pepsi [2]

Answer:

<h2>140 minutes</h2>

Step-by-step explanation:

this problem focuses on the combined work rate

both can finish the work under 63 minute

let bobby mow the lawn in x minute

Billy will then mow the lawn in x-25 minutes

Let the completed job = 1 (a mowed lawn)

we can now apply the combined work formula for the two boys as

\frac{63}{x}+\frac{63}{x-25}=1

multiplying through by x(x-25 )we have

63(x-25)+63x= x(x-25)

open bracket we have

63x-1575+63x= x^2-25x

rearranging and collecting like terms we have

0=x^2-25x-63x-63x+1575 \\\\0=x^2-151x+1575 \\\\x^2-151x+1575=0

we can now use the quadractic formula

x=\frac{-b\frac{+}{} \sqrt{b^2-4ac} }{2a}

 

a= 1

b= -151

c= 1575

x=\frac{-(-151)\frac{+}{} \sqrt{151^2-4*1*1575} }{2*1}

x=\frac{-(-151)\frac{+}{} \sqrt{22801-6300} }{2} \\\\x=\frac{-(-151)\frac{+}{} \sqrt{16501} }{2} \\\\x=\frac{-(-151)\frac{+}{} 128.45}{2} \\\\

x=\frac{-(-151)+128.45}{2} \\\\\x=\frac{279.45}{2} \\\\x=139.72 \\\\\\x=\frac{-(-151)-128.45}{2}\\\\x=\frac{151-128.45}{2}\\\\x=\frac{22.55}{2}\\\\x=11.27

the first answer x= 139.72 approximately 140 minutes mins is correct for  Bobby's time

let us check

\frac{63}{140}+\frac{63}{140-25}=1\\\\\\0.45+\frac{63}{115} =1\\\\0.45+0.5478=1\\0.997 =1

we can see that the solution approximates to 1

8 0
3 years ago
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