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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 ✔
Answer:
4y⁷x²
Step-by-step explanation:
<h3>Finding GCF:</h3>
Prime factorize each expression.
28y⁷x² = 2 * 2 * 7 * y⁷ * x²
8y⁸v⁴x⁶ = 2 * 2 * 2 * y⁸ * v⁴ * x⁶
GCF = 2 * 2 *y⁷*x²
= 4y⁷x²
Answer:
Step-by-step explanation:
This is clearly a linear relationship. If Alex rented the movie for 0 days, he'd owe nothing. If he paid $6 for a 3-day rental, the slope of this line would be m = rise / run = $6/(3 days) = $2/day, which is positive.
Then the equation for this graph is C(x) = ($2/day)x, where x is the number of days for which the movie is rented.
Using this formula, we find three particular points on the graph:
(1, $2), (2, $4), (3, ($6)
Answer:
39
Step-by-step explanation:
4x+7=9x-33
4x-9x=-33-7
-5x=-40
x=8
4×8+7=39
