Answer: the speed of the plane is 130 mph
Step-by-step explanation:
Let x represent the speed of the plane. If the car travels 80 mph slower than the plane, then the speed of the car would be (x - 80) mph.
Time = Distance/speed
plane can fly 520 miles in the same time as it takes a car to go 200 miles. This means that the time it takes the plane to fly 520 miles is
520/x
Also, the time it takes the car to drive 200 miles is
200/(x - 80)
Since the time is the same, it means that
520/x = 200/(x - 80)
Cross multiplying, it becomes
520(x - 80) = 200 × x
520x - 41600 = 200x
520x - 200x = 41600
320x = 41600
x = 41600/320
x = 130 mph
When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.
2(x+1) -3
2(6+1) -3
2(7) -3
14 -3
11
ANSWER IS:
C 11
Answer:
option-A
option-D
Step-by-step explanation:
We are given a complex number as
we know that whenever we have
where
a is the real number
b is imaginary number
now, we can verify each statement
option-A:
we can see that
a=7
and
a is the real number
so, 7 will be real number
so, this is TRUE
option-B:
we know that
so, imaginary number is 
while it is mentioned square root 3 is the imaginary part of the number
so, this is FALSE
option-C:
We can see that coefficient of i is b
and
so, this is FALSE
option-D:
we know that
'a' and 'b' are sum of real and imaginary number
so, this is TRUE
Answer:
18
Step-by-step explanation:
4x+100+3x+79=32
7x+179=32
7x=-147
x=-21
Now, plug in the numbers.
3(-21)+79=-61+79
=18
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