Answer:
y= -2x +2
Step-by-step explanation:
<u>Slope-intercept form:</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -2, m= -2.
Substitute m= -2 into the equation:
y= -2x +c
Given that the y-intercept is 2, c= 2.
Substitute c=2 into the equation:
y= -2x +2
We have to calculate the volume of the right rectangular prism.
lenght=4 1/2 in=(4+1/2) in=9/2 in
width=5 in
height=3 3/4 in=(3+3/4) in=15/4 in
Volume (right rectangular prism = lenght x width x height.
volume=9/2 in * 5 in * 15/4 in=675/8 in³
we calculate the volume of this little cube.
volume=side³
volume=(1/4 in )³=1/64 in³
Now, we calculate the number of small cubes are needed to fit the right rectangular pris by the rule of three.
1 small cube----------------1/64 in³
x---------------------------------675/8 in³
x=(1 small cube * 675/8 in³) / 1/64 in³=5400 small cubes.
Answer: we need 5400 small cubes to fit the right rectangular prism.
Answer:
500 minutes
Step-by-step explanation:
Ok, so the first thing we want to do is figure out how long it takes to complete one lap.
So if it takes 10 minutes to travel 2 laps lets find out how many minutes for one.
It would be 5 minutes for one lap, if you divide 10 by 2 because of the 2 laps.
Next, you just multiply the 5 minutes by 100 laps:
This gives you 500 minutes.
Hope this helps :)
Answer:
Yes, the bill is absolutely accurate
Step-by-step explanation:
Cost of materials= $ 678.12
Final bill amount(given)=$1206.12
Rate= $32 per hour for 16.5 hrs
Total amount for 32 hrs = time * rate = 16.5* 32=$528
Therefore, by the problem ,
<em>Cost of materials+ Total amount for 32 hrs = Final bill amount</em>
= 678.12+ 528
=1206.12
<u>Therefore , the final bill amount is 100% accurate as it completely matches with the given bill amount</u>
Answer:
The number would be 39 and 14
