Mike has 4 times as many stamps as Andrew
Let Mike = M and Andrew = A, eq.1 will be M = 4A
However, if Mike gives Andrew 8 stamps, then the number of stamps Mike has is now twice the number of stamps Andrew has. This will give us another equation.
eq. 2 will be M-8 = 2 (A+8)
The expression on the left tells us that Mike gave away eight stamps, while the expression on the right tells us that whatever this new number is is equal to twice the total number of Andrew's stamps after receiving eight from Mike.
Simplifying this further gives us:
M-8 = 2A + 16
M = 2A + 16 + 8 = 2A + 24
Use 2A + 24 and substitute this for M in eq. 1. This gives us:
2A + 24 = 4A
24 = 4A - 2A
24 = 2A
12 = A, and therefore M = 48 (because M=4A)
To begin with, Andrew had 12 stamps and Mike had 48 stamps.
If only M-8 = 2A is used, this will only meet the condition given in situation 1 (M=4A) but not situation 2, wherein after giving away 8 stamps, Mike's stamps is twice as many as Andrew's. You can check it. :)
Answer:
The graph of the data presented is shown in the attached image to this solution.
It shows that the relationship between distance travelled in miles and the time take in hours is D = 55t
Step-by-step explanation:
The distance travelled with the corresponding time taken are presented in the table
Note: D - Distance travelled (miles)
t - Time (hours)
D | t
55 | 1
110 | 2
165 | 3
220 | 4
275 | 5
330 | 6
We are then told to plot these distance travelled on a graph with the time taken.
The distance travelled is plotted on the y-axis and the time in hours is plotted on the x-axis.
The image of the graph of this function will be attached to this answer
It is evident that the graph shows the relationship between the distance travelled and time taken to be D = 55t
Hope this Helps!!!
<span>The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads.
</span>so....
<span>About 24 necklaces have more than 28 beads. </span>
<span>About 48 necklaces have more than 28 beads. </span>
<span>About 80 necklaces have more than 28 beads. </span>
About 96 necklaces have more than 28 beads<span>
</span> <span>About 80 necklaces have more than 28 beads.
</span><span>
Z score is 28-24/4=1
(1-.8413)=0.1587
500*0.1587=79.35~80
i did this like 2 or 3 years ago .</span>
Answer:
240m
Step-by-step explanation:
Volume is length x width x height
7.5m x 4m x 8m: 240m