You must distribute first, so 3(8p+7r). That will equal 24p +21r. Then you must add all the values together according to like terms, so the variables must match. So simplified it will be 22+24p+30r
Answer:
The lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.
Step-by-step explanation:
This is a problem of optimization.
We have to minimize the time it takes for the lifeguard to reach the child.
The time can be calculated by dividing the distance by the speed for each section.
The distance in the shore and in the water depends on when the lifeguard gets in the water. We use the variable x to model this, as seen in the picture attached.
Then, the distance in the shore is d_b=x and the distance swimming can be calculated using the Pithagorean theorem:
Then, the time (speed divided by distance) is:
To optimize this function we have to derive and equal to zero:
As , the lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.
Ayou do it the exact same as whole number fractions but you might have to be more mindfull of the decimals
Step-by-step explanation:
She would have to use 11 1/4 milliliters of perfume 3 3/4= 15/4 multiply 15/4 by 3/1
15/4 (3/1)= 45/4= 11 1/4
Answer:
12600 g
Step-by-step explanation:
a kilogram is a thousand grams
(don't forget to include units)