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The number is 5.
Step-by-step explanation:
Finding the Number
To find the number, we have to form the algebraic equation first by translating the given mathematical problem above to algebraic expression. The algebraic equation is a statement that shows the equality of two algebraic expressions.
Equation:
Let "x" be the number.
"four times the square of a number" = 4x²
"20 times that number" = 20x
"four times the square of a number equals 20 times that number"
4x² = 20x
Solution:
4x² = 20x
4x²/4x = 20x/4x
x = 5
Final Answer:
The number is 5.
Checking:
To check, substitute the number.
4x² = 20x
4(5²) = 20(5)
4(25) = 100
100 = 100 ✔
Part A) A- 2:2 B- 4:4 C- -4:2
A1- 2:-2 B1- 4:-4 C1- -4:-2
You can use proportions.
22.5/100 = 18/x
cross multiply:
100 x 18 = 1800
1800/22.5 = 80
so now you know 80 is the 100%.
then do:
37.5/100 = x/80
cross multiply:
37.5 x 80 = 3000
3000/100 = 30
37.5% = 30
Answer:
B.
w=P-2l/2
Step-by-step explanation:
We represent the unknown number x. The product of this number and -3 is -3x. This product should be no more than 15. This also means that the product should be less than or equal to 15. This is shown in the inequality,
-3x ≤ 15
The answer is letter B.
