Answer:
Step-by-step explanation:
b line segment
We conclude that he drove 176 miles on the highway
<h3>how many highway miles did he drive?</h3>
Here we have the equation:
A = (1/18)*c + (1/32)*h
Where A is the consumption in gallons of gas, c is the number of miles driven in the city and h is the number of miles driven in the highway.
Here we know that:
A = 8 gallons of gas.
c = 45 miles
Replacing that in the above equation, we can find the value of h.
8 = (1/18)*45 + (1/32)*h
8 - (1/18)*45 = (1/32)*h
32*(8 - (1/18)*45) = h = 176
We conclude that he drove 176 miles on the highway
if you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
The correct answer is A.
A) The IQR of Karla's data in 13.
Step-by-step explanation:
The interquartile range can be defined as the difference of upper quartile and lower quartile range. If we want to find the IQR from the box plot, we can simply see the length of the box from the box plot, as it represent the IQR.
We can clearly see that:
IQR of Steve's data is 45 - 31 = 14, hence the second statement is incorrect
IQR of Karla's data is 52 - 39 = 13, hence the first statement is CORRECT
The difference of medians is 43 - 36 = 7
Hence the difference of medians is not the half or twice of IQR ranges of both data sets
Answer:
a) x = 10
b) DA = 24
c) perimeter = 110
Step-by-step explanation:
a) Since it's a parallelogram, the opposite sides are of equal length. This means that line DC = AB, so u can substitute in the values and solve for x:
DC = AB
5x - 18 = 2x + 12 (move terms so that like terms are on the same side)
5x - 2x = 12 + 18 (simplify like terms)
3x = 30 (divide by 3 on both sides to isolate the x)
x = 10
b) now that u know the value of x, you can use it to find the length of DA. again, opposite sides are equal, so DA = BC, which means DA = 3x - 6. substitute in your known value of x and solve:
3x - 6
= 3(10) - 6
= 30 - 6
= 24
Therefore, the length of DA - 24
c) Since u know the length of DA (and therefore BC), u just have to find the length of either DC or AB and then multiply that by 2 and add it.
First, substitute in the value of x for either DC or AB (i'm gonna use AB)
2x + 12
= 2(10) + 12
= 20+12
= 32
now, to find the perimeter use this formula: 2(AB) + 2(DA)
this equals to 2(32) + 2(24) = 64+46 = 110
and that's the perimeter!
hope this helps!
Answer:
The voyage was 3450 miles far away.
Step-by-step explanation:
Distance covered per hour = 17.25 miles
As the boat traveled 200 hours to reach the destination.
1 hour = 17.25 miles
Thus,
200 hours = 200 (17.25)
= 3450 miles
Thus, the boat had to travel 3450 miles in 200 hours to reach the destination. Therefore, the voyage was 3450 miles far away.
