Answer:
The maximum number of sandwiches she can buy is 24.
Step-by-step explanation:
We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:
Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:
Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.
Answer:
the new ratio milk/water is 14:6 or 7:3
Step-by-step explanation:
milk/water=5/3
milk +water=5+3=8
ratio of milk=5/8 and ratio of water=3/8
if 4 liter removed from mixture then: 20=4= 16 liter
the amount of milk in 16 liter=16*5/8=10 liter of milk
the amount of water in 16 liter=16*3/8= 6 liter
add 4 liter of milk to the mixture: 10+4=14 liter of milk and 6 liter of water
the new ratio milk/water is 14:6 or 7:3
Answer:
18.0 cm to 1 decimal point.
Step-by-step explanation:
First work out the unknown side (s) of the right triangle using the Pythagoras theorem:
s^2 = 13^2 - 5^2
= 169 - 25 = 144
s = sqrt 144 = 12 cm.
Now consider the other triangle:
s = 12
The missing angle = 180 - 65 - 40 = 75 degrees.
By the Sine Rule:
x / sin 75 = 12 / sin40
x = 12 sin 75 / sin 40
= 18.03
-
Use the Pythagorean theorem (a^2 + b^2 = c^2)
7^2 + 24^2 = x^2
x^2 = 625
x = 25
Answer:
(f + g)(x) = I2x + 1I + 1 ⇒ C
Step-by-step explanation:
Let us solve the question
∵ f(x) = I2x + 1I + 3
∵ g(x) = -2
→ We need to find (f + g)(x), which means add the two functions
∵ (f + g)(x) = f(x) + g(x)
→ Substitute the right side of each function on the right side
∴ (f + g)(x) = I2x + 1I + 3 + (-2)
→ Remember (+)(-) = (-)
∴ (f + g)(x) = I2x + 1I + 3 - 2
→ Add the like terms in the right side
∵ (f + g)(x) = I2x + 1I + (3 - 2)
∴ (f + g)(x) = I2x + 1I + 1
