Answer:
x = 15
Step-by-step explanation:
We want to solve for x in 3*(2x + 5) = 3x + 4x
First simplify.
3*(2x + 5) = 7x
Next, distribute the 3.
3*2x + 3*5 = 7x
6x + 15 = 7x
15 = 7x - 6x
15 = x
Answer:
78%
Step-by-step explanation:
% increase = Increase ÷ Original Number × 100
% increase= 35.8/46 *100= 77.82=78 %
Answer:6
Step-by-step explanation:
We have three groups of cookies as follows:
24 oatmeal
36 vanilla bean
42 chocolate chip
If we breack down into factors we get
24 2 24 = 2³ * 3 36 2 36 = 2²*3³ 42 2 42 = 2*3*7
12 2 18 2 21 3
6 2 9 3 7 7
3 3 3 3 1
1 1
Fom where we can get that biggest common factor is 6
24 ÷ 6 = 4
36 ÷ 6 = 6
42 ÷ 6 = 7
Then Bakery will have 4 groups of oatmeal cookies, 6 of vanilla bean, and 7 chocolate chip
Answer:
Option C
Step-by-step explanation:
Assuming P represents the number of outcomes, n the number of competitors and r the number of places to be awarded....
There are 336 different possible ways for the winners to be chosen.
<u><em>Hope that helps!</em></u>
Using cosine rule, the length of the required side = sqrt(32^2 + 35^2 - 2 x 32 x 35cos 120)
= sqrt(1024 + 1225 - (-1120))
= sqrt(2249 + 1120)
= sqrt(3369)
= 58.04
