Answer:
boys = 250
girls = 150
Step-by-step explanation:
5g = 3b eq. 1
g + b = 400 eq. 2
g = girls
b = boys
From the eq. 2
g = 400 - b
Replacing this last eq. on eq. 1:
5(400-b) = 3b
5*400 + 5*-b = 3b
2000 - 5b = 3b
2000 = 3b + 5b
2000 = 8b
2000/8 = b
250 = b
From eq. 2
g + 250 = 400
g = 400 - 250
g = 150
Check:
from eq. 1
5*150 = 3*250 = 750
Answer:
The number that goes in place of the question mark is 2.
Step-by-step explanation:
Let's solve it!
3x² + 12x - 24 = 0
First we can factor 3 out of each term:
x² + 4x - 8 = 0
Now we'll add 12 to both sides to complete the square:
x² + 4x + 4 = 12
And finish it off:
(x + 2)² = 12
So the answer to the question is 2
Bonus:
We can also now solve this for x:
(x + 2)² = 12
x = √12 - 2
x = 2√3 - 2
x ≈ 2 × ±1.732 - 2
x ≈ 1.464, -5.464
Im not sure ask ur teacher
Answer:
The answer to your question is 21.9 mi
Step-by-step explanation:
Data
1st day = 3 mi
2nd day = 3.3 mi
3rd day = 3.9 mi
4rd day = 5.1 mi
7fh day = ?
Process
1.- Calculate the pattern
Day 1 2 3 4 5 6 7
MIles 3 3.3 3.9 5.1 7.5 12.3 21.9
Gradient 0.3 0.6 1.2 2.4 4.8 9.6
We notice that the gradient is duplicating so the miles that I bike the seventh day are 21.9.
Answer:
D In step 3
Step-by-step explanation:
Given polynomial: x² - 2x - 15 = 0
Step 1: factor the polynomial ⇒ (x + 3)(x - 5) = 0
Step 2: x + 3 = 0 and x - 5 = 0
Step 3: x = -3 and x = 5
x - 5 = 0
Add 5 to both sides:
⇒ x - 5 + 5 = 0 + 5
⇒ x = 5
