Answer: 20 oranges and 5 mangoes
Step-by-step explanation:
Define the following:
x = number of oranges
y = number of mangoes
Make the following system of equations:
x + y = 25
0.35x + 1.00y = 12.00
Solve for x:
y = 25 - x
⇒ 0.35x + 1.00(25 - x) = 12.00
⇒ 0.35x + 25 - x = 12.00
⇒ -0.65x = -13.00
⇒ x = 20
Solve for y:
20 + y = 25
y = 5
∴ 20 oranges and 5 mangoes were purchased.
Answer:$19
3*2=6
5*2=10
.25*12=3.0
10+6+3=19
Step-by-step explanation:
Answer:
Angle sqr = 119°
Step-by-step explanation:
In the above question, we are given:
angle pqt is (3x+47)°
angle sqr is (6x-25)°
Angle pqt = Angle sat
We solve for x
3x + 47 = 6x - 25
Collect like terms
47 + 25 = 6x - 3x
72 = 3x
x = 72/3
x = 24
We solve for the measure of angle sqr
Angle sqr = (6x - 25)
x = 24
6 × 24 - 25
144 - 25
= 119°
Answer:
(2x + y)(2x - y)
Step-by-step explanation:
1. Simplify the square 4x²:
(2x)² - y²
2. Apple the difference of two squares formula <em>x² - y² = (x + y)(x - y)</em>:
(2x + y)(2x - y)
hope this helps!
Answer:
It is a decreasing function for 0 < b < 1.
Step-by-step explanation:
Logarithm function:
The logarithm function is given by:
The base b determines if the function increases or decreases.
For 0 < b < 1, the function decreases.
For b > 1, the function increases.
In this question:
By the definition above, it is a decreasing function for 0 < b < 1.
