MATHEMATICS MIDDLE SCHOOL

The ratio of adults to children at a picnic is 4 to 5. The total number of people at the picnic is 27. How many adults and children are at the picnic? Include steps.

Answers

Answer 1
Answer: There are 12 children and 15 adults at the picnic.

Add together the ratios 4 and 5 and divide the amount of people by that number (so 27 divided by 9)

You then get 3. So then multiply both sides of your ratio by 3. (4:5 ----> 12:15)

Hope this helps a little.

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A company charges $211.25 for 5 trees and 15 shrubs, The company charges$15.25 more for a tree than a shrub. How much does each shrub cost?

Answers

First we make our formula: 5(t+15.25)+15t=211.25. (I use the same letter for both variables, but you have to make sure that whatever makes them different is in the formula) Then you work it like normal: 20t=135, T=6.75 so 1 shrub costs $6.75 Then substitute the answer in: 5(6.75+15.25)+15(6.75)=211.75 and check it. 1 tree is $110 :) hope this helps :)

Patricia paid $584 for 8 nights at a hotel. Find the unit rate

Answers

584/8=73
Therefore it costs $73 a night to stay
67..888889999 lol lololollo

What is 12.062 rounded to the nearest tenth?

Answers

well, the answer to this problem is 12.1

I know that the answer to this is all real numbers less than or equal to 5. My question is how do you solve this (without a calculator)? Given f(x) = -3x^2 +5, what is the range of the function I tried to use -b/2a but I probably did it wrong. Thanks

Answers

find inverse function
y = f(x) = -3x^2 + 5
write x in terms if y
x = sqrt(-(y-5)/3)
inverse function is
f-1(x) = sqrt(-(x-5)/3)

domain of inverse is the range of the function

from inverse, inside sqrt must greater than or equal to 0 so that x-5 <= 0 which is x <= 5

If 2000 miles increased by 33%, how many miles did it increase?

Answers

it increased 660 miles
660 miles. Multiply 2000 by .33 

A circular pan has a diameter of 8 inches. What is the exact area of the pan?
























 



A.





256π square inches
























 



B.





8π square inches
























 



C.





64π square inches
























 



D.





16π square inches

Answers

You would divide the diameter in half to get the radius which is 4. And do the formula which is a=pie(r) squared. So the answer would be 50.24
Diameter of a circle = 2r
an area of a circle =  πr²
so, if the diameter of the circular pan is 8 inches taht menas,
2r = 8
or, r = 4 inches
so area of the pan = πr² = 22/7* 4 = 12.57 inches
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