Answer:
32 remainder 2
Step-by-step explanation:
To divide 162 by 5, we simply do the following:
5 goes into 16 => 3
Multiply 5 by 3 => 3 × 5 = 15
Subtract 15 from 16 => 16 – 15 = 1
Put the 1 before 2 => 12
5 goes into 12 => 2
Multiply 5 by 2 => 5 × 2 = 10
Subtract 10 from 12 => 12 – 10 => 2
In summary,
162 divided by 5 => 32 remainder 2
Please see attached photo for further details.
M= movie cost
v= video cost
Create two equations with the given information. Solve for one variable in equation one. Use that answer to substitute into equation two.
2m+12v=$44
5m+3v=$29
Solve for one variable in equation 1:
2m+12v=44
Subtract 12v from both sides
2m=44-12v
Divide both sides by 2
m=(44-12v)/2
Substitute m answer in equation two:
5m+3v=$29
5((44-12v)/2)+3v=29
(220-60v)/2+3v=29
Multiply everything by 2 to eliminate the fraction
(2)(220-60v)/2+(2)(3v)=(2)(29)
220-60v+6v=58
220-54v=58
Subtract both sides by 220
-54v= -162
Divide both sides by -54
v= $3.00 cost per video
Substitute v value to find m value:
2m+12v=$44
2m+12(3.00)=44
2m+36=44
Subtract both sides by 36
2m=8
Divide both sides by 2
m=$4.00 cost per movie
Check:
5m+3v=$29
5(4.00)+3(3.00)=29
20.00+9.00=29
29=29
Hope this helps! Please mark me as brainliest if it does. :)
You could make it true by making it (8x10) plus (8x1)
Explanation: 8x11=88 and 8x10=80 and 8x1=8 and 80+8=88
Answer:
The distance between the two
points on the map
is 225 units
Step-by-step explanation:
Firstly, we need to calculate the distance in units between the two locations on the map
What we have to use here is the distance formula
Mathematically, we have this as;
D = √(x2-x1)^2 + (y2-y1)^2
(x1,y1) = (2,10.5)
(x2,y2) = (14,16)
we have the distance as follows;
D = √(14-2)^2 + (16-10.5)^2
D = √(12^2 + 6.5^2)
D = √(186.25)
D = 13.65 units
now, from the question, 1 unit on the map represents a distance of 16.5 miles
thus, a distance of 13.65 units will be;
16.5 * 13.65 = 225.225
= 225 units
