Given:
Admission to the local movie theater is $3 for each child and $7 for each adult.
A group of 12 people pay $64 admission.
To find:
The number of children in a group.
Solution:
Let the number of children be x and number of adults be y.
According to the question,
Total persons : 
...(i)
Total cost : 
...(ii)
Multiply equation (i) by 7 and subtract the result from (ii).
Divide both sides by -4.
Therefore, the number of children is 5.
Answer:
A=2πrh+2πr2 this is the surface are formula of a cylinder. You already know the scale ratio is 2.5 so the answer is (2.5*surface area formula). For the formula just plug in the values for the radius and the height that is given and solve.
Step-by-step explanation:
Answer:
Check attachment for orderliness of question
Step-by-step explanation:
We want to the equation in an exact form
M(x, y) dx + N(x, y) dy = 0.
xy² dy/dx = y³− x³
Cross multiply
Then,
xy²dy=(y³-x³)dx
xy²dy - (y³-x³)dx = 0
xy²dy + (x³-y³)dx=0
Therefore,
(x³-y³)dx + xy²dy=0
Can only be an exact equation if and only if
dM/dy=dN/dx
From the equation
M=(x³-y³)
Then, dM/dy=-3y²
Also, N=xy²
dN/dx=y²
Since dM/dy ≠ dN/dx
Then it is not an examct equation and we can say
M≠(x³-y³)
And
N≠(xy²)
Answer:
Month 4 and 5
Step-by-step explanation:
This graph shows a very big increase in the change of the amt of money from 50 to 90 which is a 40 difference
I Tired To Explain It As Best As I Could.
Isolate the variable by dividing each side by factors that don’t contain the variable.
24 = x • 30
Use The Commutative Property To Reorder The Terms
24 = 30x
Swap The Sides Of The Equations
30x = 24
Divide Both Sides Of The Equations By 30
30x ÷ 30 = 24 ÷ 30
Any Expression Divided By Itself Equals 1
x= 24 ÷ 30 or x =24/30
Reduce The Fraction With 6
x = 4/5
Exact Form:
x = 4/5
Decimal Form:
x = 0.8
