The number Alex is thinking of is 60 because its square root falls between 7 and 8, and it is indeed a multiple of 12.
To find the number Alex is thinking of, consider the given information:
The square root of the number falls between 7 and 8.
The number is a multiple of 12.
Let's work through this step by step:
Square Root Between 7 and 8:
The square root of 7 is roughly 2.65, and the square root of 8 is approximately 2.83.
So, the number we're looking for should have a square root within this range.
Multiple of 12:
A multiple of 12 is a number that can be divided by 12 without any remainder.
To find a number that meets this criterion and also has a square root between 7 and 8, we can try multiplying 12 by different whole numbers until we find one that fits.
Let's try some multiples of 12:
12 multiplied by 1 is 12, and its square root is roughly 3.46 (outside the range).
12 multiplied by 2 is 24, and its square root is approximately 4.90 (outside the range).
12 multiplied by 3 is 36, and its square root is exactly 6 (outside the range).
12 multiplied by 4 is 48, and its square root is roughly 6.93 (outside the range).
12 multiplied by 5 is 60, and its square root is around 7.75 (within the range).
For similar question on square root.
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Answer:
Which number has a square root that is between 7 and 8?
NUMBER SQUARE SQUARE ROOT
6 36 2.449
7 49 2.646
8 64 2.828
9 81 3.000
Step-by-step explanation:
12 = 3 x 2"; 25 = 5?, and 35 = 5 × 7; therefore 3 x 2" x 5” x 7 = 210
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Length of ice cream cone = 6 inch
Diameter of cone = 2 inches
Radius of cone is given by
But according to question, it is cut 0.25 inches from the base and this cut into cylinder and cone.
Since it was cut so close to the base.
So, Height of the cylinder = 0.25 inches
As we know the formula for "Volume of cylinder ":
Hence, Option 'C' is correct.
You must translate the words into a system of equations for solving the problem.
Solve the system of equations for the answers. You must provide detailed step-by-step explanations on how you solved the problem.
Explain in detail how you would check your answers.
Answer:
x = 47
y = 94
Step-by-step explanation:
Givens
Let the larger number = y Note: y must be even. Why is that?
Let the smaller number = x
Equations
x = 1/2 y
x + y = 141
Solution
Substitute x from the first equation into the second equation
1/2 y + y = 141
Change 1/2 y to 0.5y
0.5y + y = 141
Combine the left
1.5y = 141
Divide both sides by 1.5
1.5y/1.5 = 141/1.5
Do the division
y = 94 And y is even.
================
x = 1/2y
x = 1/2*94
x = 47
Check
The smaller number is 1/2 the larger one This is correct.
47 + 94 = 141 and this also checks.
Answer:
x = 47
y = 94
Step-by-step explanation:
We know that one number is half another number and the sum of these two numbers is 141. We are to find the numbers.
Assuming and to be the numbers, we can write it as:
--- (1)
--- (2)
Substituting the value of from (1) into (2) to get:
y = 94
Now substituting this value of in (1):
x = 47
Translating it in other words:
One number is double the other number and the sum of the two number is 141.
Checking answers:
Answer:
cups of flour
Step-by-step explanation:
1 batch of chicken required 3 1/3 cups of flour
the fast food restaurant was making 4 3/7 batches.
We need to find how much of flour they need to make 4 3/7 batches
1 batch requires cups of flour
batches requires
Dividing decimals
5W - 23 < - 3 (3 - 4W)