Answer:
x = 12, y =
Step-by-step explanation:
a || b
5x - 7 = 3x + 17 Alternative Interior Angles
x = 12 Algebra
Angle 3x + 17 = 53 Substitution
53 + 4y + 3 = 180 Supplementary Angles
y = 31
Answer: -1/2, -0.22, 0, 12%, 0.56
Step-by-step explanation:
-1/2 is equal to -0.50, making it the number with the least value.
-0.22 is closer to 0 than -0.50, meaning it is greater then -0.50 and less than 0.
0 is between the negative and positive numbers, giving it the spot that it has.
12% is equivalent to 0.12, meaning it is more than 0, and less than 0.56, which is the greatest number.
0.56 has more value than any other number in the problem, meaning it goes last in the order.
Answer:
The diameter will increase at a rate of 1/30π cm/min
Step-by-step explanation:
Here we want to calculate the rate at which the diameter will increase
Mathematically, the area of a sphere is given as;
A = 4πr^2
But r = d/2
so A = 4 * π * d/2 * d/2 = πd^2
dA/d(d) = 2πd
Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π
Given dA/dt = 10
Mathematically;
d(d)/dt = d(d)/dA * dA/dt
dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min
Answer:
The number of hot beverages sold were 45 and the number of cold beverages sold were 180.
Step-by-step explanation:
Let the number of cold beverages sold be 
And the number of hot beverages sold be 
According to the question:
c=4
h...
1.5
c + 2
h = Sale of any day
Part1:
For Saturday.
The sale is of
360
then
1.5
c +
2
h =
360
Part 2:
Following the method of substitution.
And plugging the values of c=4
h...in equation where the sales of Saturday is given.
1.5
c + 2
h =360
1.5
4
h + 2
h =360
6
h + 2
h= 360
8
h=360
Dividing both sides with 8.
h=
h=45
Inserting h=45 in c=4
h...
we have c=4
45 = 180
So the number of hot beverages sold were 45 and the number of cold beverages sold were 180.
Answer: Rounded: 350 miles/inch
Exactly 352 miles per inch.
Step-by-step explanation: Divide the miles by the inches to find miles per inch.
880/2.5 = 352.
It would make sense to round that to say the scale is 350 miles per inch.
One inch represents 350 miles