What is this number in standard form?
1 answer:
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Answer:
Kay's husband drove at a speed of 50 mph
Step-by-step explanation:
This is a problem of simple motion.
First of all we must calculate how far Kay traveled to her job, and then estimate the speed with which her husband traveled later.
d=vt
v=45 mph
t= 20 minutes/60 min/hour = 0.333 h (to be consistent with the units)
d= 45mph*0.333h= 15 miles
If Kay took 20 minutes to get to work and her husband left home two minutes after her and they both arrived at the same time, it means he took 18 minutes to travel the same distance.
To calculate the speed with which Kate's husband made the tour, we will use the same initial formula and isolate the value of "V"
d=vt; so
v=
d= 15 miles
t= 18 minutes/60 min/hour = 0.30 h (to be consistent with the units)
v=
Kay's husband drove at a speed of 50 mph
a. The constant of proportionality is k = 2
b. If Micah saves $150, his parents will give him $300
<h2>Explanation:</h2><h3>PART A.</h3>From mathematics, we know that varies directly as
or
is directly proportional to
if and only if:
for some nonzero constant
.
Here we know some facts:
- For every $5 that Micah saves, his parents give him $10.
In other words:
Let y be the money his parents give him.
Let x be the money that Micah saves.
So,<em> the constant of proportionality is k = 2</em>
<h3>PART B.</h3>In this case, we know that Micah saves $150. So we need to find the amount of his parents will give him. So what we know here is the value of x, because x represents the amount of money Micah saves. Therefore, by knowing x and k, we can calculate the value of y, which is the amount of money his parents will give him. Hence:
Finally, <em>if Micah saves $150, his parents will give him 300$</em>
<h2>Learn more:</h2>Cost of pizzas: brainly.com/question/12878495
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