Answer:
= 0.38 m/s
Step-by-step explanation:
▪Total distance = 800 m
5 min = 100 m
▪Remaining distance = 800 - 100 = 700 m
20 min = 700 m
▪Total time taken = 20 + 10 + 5 = 35 min
If 1 min = 60 sec
What about 35 min = ?
= 35 x 60
= 2100 sec
▪Average speed = TD ÷ TT
= 800 ÷ 2100
= 0.38 m/s
Answer:
Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).
Explanation:
You are given:
every serving of shrimp contains 2g of fat and 5mg of iron;
every serving of rice contains 6g of fat and 7mg of iron;
each meal should have 6g of total fat and 10mg of total iron.
You need to set a system of equation: let's call
s = quantity of shrimps
r = quantity of rice
The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g
2s + 6r = 6 (1)
Similarily:
the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g
5s + 7r = 10 (2)
In order to solve the system, solve for s in equation (1):
s = (6-6r)/2 = 3 - 3r (3)
Substitute in equation (2):
5(3 - 3r) + 7r = 10
and solve for r:
15 - 15r + 7r = 10
8r = 5
r = 5/8
Substitute the value of r in equation (3):
s = 3 - 3×5/8 = 9/8
Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.
Answer:
y/x =2/3
Step-by-step explanation:
you just need see at one point. for example: (3, 2)
Answer:
r=9/2 or 4.5
Step-by-step explanation:
First of all our goal is to get R by itself
by cross multiplying we get,
(r+3)*3=5r
by distributive property we get
3r+9=5r
substracting 3r from both sides we get
9=2r
by dividing by 2 in both sides we get
r=9/2 or 4.5
Answer:
This can be solved by using the empirical rule for a normal distribution.
Step-by-step explanation:
A. The number of skateboards given is one standard deviation above the mean. Approximately 68% of the data points lie within the range plus and minus one standard deviation of the mean. Therefore the required percentage is:
68 + 16 = 84%.
B. The given number of skateboards is two standard deviations above the mean. Approximately 95% of the data points lie within the range plus and minus two standard deviations of the mean. Therefore the required percentage is:
5/2 = 2.5%
C.The given number of skateboards is one standard deviations below the mean. Therefore the required percentage is:
16%.
