Answer:
Please see the answers below:
Step-by-step explanation:
The wrong answers are deleted only the correct answers are listed below:
- Ryan earns $45 for 5 hours of work. The unit rate is $9 for 1 hour.
- Jenna can drive her car 110 miles on 5 gallons of gasoline. The unit rate is 22 miles per gallon.
- Claire saves $320 in 16 weeks. The unit rate is $20 per week.
- % increase in price of gas = [(New Price - Original Price) / Original Price] x 100
% increase in price of gas = [($2.48 - $2.18) / $2.18] x 100
% increase in price of gas = [$0.3 / $2.18] x 100
% increase in price of gas = 13.76%
I shall have a conversation with you, if you don’t mind
Answer:
12.5
Step-by-step explanation:
We can use ratios to solve
4 4+6
---- = ----------
5 AC
4 10
---- = ----------
5 AC
Using cross products
4 * AC = 5*10
4AC = 50
Divide by 4
AC = 50/4
AC =12.5
Answer : The correct option is, (A) 
Step-by-step explanation :
First we have to calculate the volume of cylinder.
Formula used:
Volume of cylinder = 
where,
r = radius = 3 cm
h = height = 18 cm (We are assuming that 3 solid spheres stacked to each other = 3 × diameter of each sphere = 3 × 2 × 3 = 18)
Volume of cylinder = 
Volume of cylinder = 
Now we have to calculate the volume of 3 solid spheres.
Formula used:
Volume of 3 spheres = 
Volume of 3 spheres = 
Volume of 3 spheres = 
Volume of 3 spheres = 
Now we have to calculate the amount of empty space within a cylinder.
Amount of empty space within a cylinder = Volume of cylinder - Volume of 3 spheres
Amount of empty space within a cylinder = 
Amount of empty space within a cylinder = 
Therefore, the amount of empty space within a cylinder is, 
Answer:
Step-by-step explanation:
Notice that KL = LM and PQ = QR since OL and OQ are perpendicular to both KM and PR.
It follows that QR = (1/2) PR = 20 cm. We also know that MR = 21.
Now in order to solve the problem we just need OQ=OL

Therefore the perimeter of the pentagon is
