Answer: x=24
Step-by-step explanation:
First, we know that 2/3 of something is 16. So, we are going to find 1/3. To do this, we divide 16 by 2 because 2 is the numerator. We get 8 as our answer.
Next, now we have to find the full value. To do this, we need to multiply 8 by 3 to get 3/3 (our full number-answer). When you multiply 8 by 3, you get 24 as your answer.
Finally, finish the equation. Substitute x for 24, so the equation looks like this: (24) x 2/3 = 16.
Hope this helps!
Answer:
26.4 km/hr
Step-by-step explanation:
Sofia and Diego drive to work.
For Sofia
We convert miles to km
Sofia drives 72 miles in 1.5 hours.
1 mile = 1.6 km
72 miles = x
x = 72 × 1.6 km
x = 115.2 km
We find the speed in km/hr
Speed = Distance /Time
= 115.2km/1.5 hours
= 76.8 km/hr
For Diego
Diego drives 126 km in 2 hour 30 min.
Speed = Distance/Time
Time = 2 hour 30 min = 2.5 hours
Speed = 126km/2.5 hours
= 50.4 km/hr
The difference between their average speeds in km/h is calculated as:
76.8 km/hr - 50.4 km/hr
= 26.4 km/hr
Answer:
x = 0, -4 and -3.
Step-by-step explanation:
The given expression is "3x to the power of 3 + 21x squared + 36x = 0".
We can write this expression as follows :

Taking 3x common.

x = 3

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.
Answer:
212.5
Step-by-step explanation:
Here's a theorem about triangle areas.
If two similar triangles have sides in the ratio x:y,
then their areas are in the ratio x2:y2
The triangles have sides in the ratio:
LP/LN = 10/25
The two triangles have areas in the ratio 100:625 (4/25)
For every 4 in the small triangle, there are 25 in the larger triangle.
34/4 = 8.5
25 times 8.5 =212.5
Answer:
I think it's right answer is 530