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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:
Samantha payed 12.71$ for her purchase.
Step-by-step explanation:
I may have misunderstood the question, but it looks like you can use a calculator for this!
6.19 + 2.85 + 2.29 + 1.38 =
12.71
Let n = the unknown number
"Quotient of 82 and a number" translates to 82 / n
"decreased by 26 tells you you're subtracting 26.
82/n - 26 or
Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Find x
Considering angle 30 degrees,
Using the tangent formula:
Make x the subject
Simply you can substitute theta=45 degrees (or any angle,not zero) in left hand side and right hand side.
or
using a^2 - b^2 =(a+b)(a-b)
= sin(2x+x)sin(2x-x)
= sin 3x sin x
