Answer:
Step-by-step explanation
- Let x be the number of adults and y the number of kids
We can then write this two equations :
x+y= 33
15x+7y= 311
- let's solve the two eaquations
to do that we should combine them both in a way that help us get rid of one of the variables.
Let's multiply the first equation by -7 to get rid of y by adding it to thr second equation
-7x-7y= -231
now add both equations .
15x+7y-7x-7y=311-231
we get : 8x = 80
as you notice y is gone and we get a classic easy equation to solve
x= 80/8
= 10
so the number of adults is 10
let's go back to the first equation ( x+y= 33) and replace x with 10
10+y= 33
y= 33-10
=23
let's check using the second equation :
(10*15)+(23*7) = 311
that is true
so :
- the number of adults is 10
- the number of kids is 23
Answer:
77
Step-by-step explanation:
84/12=7
so
7*11= 77
Linear pairs are when 2 lines intersect, and are adjacent angles.
The measure of a straight angle is 180 degrees, so a linear pair<span> of angles must add up to 180 degrees.
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I hope my answer helped!!!
Answer:
40 students picked bananas
Step-by-step explanation:
3/4 picked apples
1 - 3/4 = 1/4 picked bananas
3/4x = 120
Multiply both sides of the equation by 4/3
4/3 * (3/4x) = 120/1 * (4/3)
x = 480/3
x = 160
Total of 160 students
/ \
120 = apples 160 - 120 = 40 = bananas
40 students picked bananas
Hope this helps :)
You can draw a right triangle with the informatio.
The vertical change in elevation (unknown) is the opposed leg to the angle 15°
The distance from the surveyor to the point vertically below the point on the mountain is the adjacent leg = 6 miles.
Then tan(15°) = x / 6 => x = 6tan(15) = 1.61 miles
Answer: 1.61 miles
