An integer x is divided by an integer y, and the quotient is 24.The sum of these two integers is 75. Which is the value of x?
Solution:
Let x and y be the two integers:
x/y=24 -----> 1st equation
x+y=75 -----> 2nd equation
y=75-x ------> from the 2nd equation
Substitute 2nd equation to 1st equation
x/(75-x)=24
x=24(75-x)
x=1800-24x
25x=1800
x=1800/25
x=72
The correct answer is:
E. 72
Her unit rate is 5 miles per hour.
Answer:
250 cubic centimeters of water
Step-by-step explanation:
In this question, we are asked to calculate the volume of water in cubic centimeters given to each of the plants.
The total volume of water is 3 * 1 = 3 liters of water
Now 12 plants was watered, this means the amount of water used on each plant would be 3/12 = 0.25 liters
Answer is wanted in cubic centimeters. This means that we will have to convert.
Mathematically;
1L = 1000 cubic centimeters
0.25 L is thus 0.25 * 1,000 = 250 cubic centimeters
This pattern forms an arithmetic sequence with the first term . The difference between two consecutive terms of this sequence is 6. The rule to calculate the other term of the sequence is is to add 6 to the previous term. This can be archived as shown in the calculations below,
The first terms of this sequence are 5, 11, 17, 23,29.
True
Area of a circle = πr^2
So if r = 10: area = π*10^2
= 100π
Surface area of a sphere = 4πr^2
If r = 5: surface area = 4π*5^2
= 4π*25
= 100π