Answer:
t = 6.2/s miles/minute
Step-by-step explanation:
Average speed is defined as the rate of change in distance of a body. Mathematically; speed = Distance/Time
Given the distance of the runner in miles to be d = 6.2miles
Time taken = t
Average speed = s
To express t in terms of the average speed s and distance of 6.2miles, we will substitute the values into the formula;
s = D/t
Substituting D = 6.2miles into the formula;
s = 6.2/t
Cross multiply
St = 6.2
Divide both sides by 's'
st/s = 6.2/s
t = 6.2/s
Hence, the equation that could be used to determine the time, t, it takes to run 10,000 meters as a function of the average speed, s, of the runner where t is in minutes and s in miles per minute is t = 6.2/s miles/minute
Answer:
3.75 cups
Step-by-step explanation:
Given that :
5 cups of liquid lemonade concentrate is mixed with 2.5 cups of water to make lemonade
5 cups of lemonade = 2.5 cups of water
Ratio :
5 / 2.5
For 2.5 cups of lemonade :
5 / 2.5 = 0.5
Multiply :
5 / 2.5 * 0.5 / 0.5
2.5 / 1.25
Hence, 2.5 cups + 1.25 cups = 3.75 cups of lemonade will be made with 2.5 cups of liquid lemonade concentrate
Slope is found when you put y2-y1/x2-x1. So your equation would be (-2)-2/6-3.
That answer would be -4/3. Nothing can be simplified further, so that is your answer
To get the answer we can use propotion
8 oil ---------------5 vinegar
x oil----------------7 vinegar
Crossmultiply now
5x=8*7
5x=56 :5
x=11.2 - its the answer
2 angles are Complementary, if the sum of their measures = 90°.
Let the 2 angles be A and B, and let their measures be m(A)=a, m(B)=b.
Let A be the larger angle.
"the larger angle is six more than three times the smaller angle."
can be 'translated' into algebra as: a = 6 + 3b
Also, since A and B are complementary, we have a+b=90°.
substitute a=6+3b in the second equation:
a+b=90°
(6°+3b+b)=90°
4b=90°-6°
b=84°/4=21°
Then, a = 90°-21°=69°
Answer: a= 69°, b=21°
