Answer:
x = ![\frac{10}{1 + 2x}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B1%20%2B%202x%7D)
Step-by-step explanation:
Let the number be x
x + 2x² = 10
Factorize x + 2x²
x(1 + 2x) = 10
Divide both sides by (1 + 2x)
x = ![\frac{10}{1 + 2x}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B1%20%2B%202x%7D)
Well when you convert fractions to decimals, you simply divide the numerator by the dominator.
To convert decimals to percents, you take the fraction and divide the numerator by the dominator and times that by 100.
For example, 4/25*100=16%
Answer:
2 Answers By Expert Tutors
Consider as an example a box of length L, width W, and height H. If all linear dimension are doubled the area becomes 4 (22) times the original
Step-by-step explanation:
google
Answer:
x = 9 and y = 15
Step-by-step explanation:
An equilateral triangle, all sides and angles are congruent and each angle is equal 60 degrees
PQR is an equilateral triangle
So
PQ = QR = RP
Given:
PQ is 14y-59
QR is 9y+1
RP is 11y-23
Angle R is 7x-3
PQ = QR
Plug in
14y-59 = 9y+1
5y = 60
y = 15
Angle R is 7x-3, also <R = 60
So
7x - 3 = 60
7x = 63
x = 9
Answer
x = 9 and y = 15
Answer:
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / 4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
a = (6 - 3·0) / 4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$
Step-by-step explanation: