Answer:
They are
4+6=10
200/10=20
ratio4= 20x4 = 80
ratio6= 20x6= 120
to prove it do 120+80= 200
Answer:
A.) 0.0129 = k
B.) 2024
Step-by-step explanation:
A.)
267,000 = 250,300e^k5
267,000/250,300 = e^k5
1.0667 = e^k5
ln(1.0667) = lne^k5
ln(1.0667) = 5k
ln(1.0667)/5 = k
0.0129 = k
B.)
300,000 = 250,300^0.0129t
300,000/250,300 = e^0.0129t
1.1986 = e^0.0129t
ln(1.1986) = lne^0.0129t
ln(1.1986) = 0.0129t
ln(1.1986)/0.0129 = t
14.03 = t
so the year would be: 2024
Answer:Add 44 liters blue
Step-by-step explanation:Mary has 20 liters of paint mixed white:blue in the ratio 2:3. So two fifths of that paint is white and three fifths is blue. So that's 8 liters white, 12 liters blue.
We want to add paint to get white:blue = 1:7. Clearly we need to add blue. We have our 8 liters of white, so we need a total of 7(8)=56 liters of blue. We already have 12, so we have to add 56-12=44 liters of blue paint:
Answer:
15
Step-by-step explanation:
900 light bulbs per hour
60 minutes per hour
X lightbulbs per minute
Divide 900 lightbulbs by 60 minutes
15
The rate is 15 light bulbs per minute
The height of this triangle would be 10.4
In order to find this, you first must find the length of the sides. Using a manipulated formula for area of an equilateral triangle, we can determine the lengths of the side. Below if the formula.
S = 
In this, S is the length of the side and A is the area. So we plug in and get:
S =
S = 
S = 12
Now that we have the side as 12, we can use the Pythagorean Theorem to find the height. If you split a equilateral triangle down the middle, you are left with two right triangles. Using this right triangle, the hypotenuse would be 12, the first leg would be 6 (half of the base) and the height would be the other leg. So we plug in and solve.




h = 10.4