Average speed of Car 1 = 45 mph.Average speed of Car 2 = 65 mph.
Time elapsed between start of Car 1 and start of Car 2 = 18 minutes.
How long before Car 2 overtakes Car 1?
A. 0.68
B. 0.53
C. 0.58
Answers
how long before car2overtakes car1,
since car2 is faster than car1, we assume that car1 left first
it left 18 minutes first
find how much distance that is
45 times hours=distance
60minsperhour
45 times 18/45=distance=13.5
headstart of 13.5miles
so
their distances are reprsetned by
45h+13.5=car1distance at h hours AFTER 18 minutes
65h=car2 disstance at h hours AFTER 18 minutes
when will distance be same?
set equal to each other
45h+13.5=65h
minus 45h both sides
13.5=20h
divide oth side by 20
0.675=h
0.675 hours
we round
0.68
answer is 0.68 hours
(note again, if you want to delete my answer or see something wrong with this answer, tell me what it is so I can improve and learn (or maybe I can show you where you are wrong))
A is answer
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Find c(8) in the sequence given by c(n) = 20 – 17(n − 1)
Answers
20-17(7)
20-119
Answer
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Answers
So the paralel lines to the line x=15 are parallel to the axis OY, so their equations are x=a, where "a" is a real number.
Here you've got point (-1,5) so x-coordinate is x=-1,
So equation this line is x=-1
....
Answers
Answer:
Options (1), (3) and (7)
Step-by-step explanation:
Characteristics of the given graph are as followed.
1). For every input value (x-value) there is a different output values (y-values).
So the points on the graph represent a function.
2). Coordinates of all the points are distinct and separate (not in fractions or decimals).
Function given is a discrete function.
3). For every increase in the x-values of the points there is a decrease in y-values.
Therefore, given function is a decreasing function.
Therefore, Options (1), (3) and (7) are the correct options.
Answers
Answer:
13 is the prime number
Step-by-step explanation:
You must take into account that a prime number is one that is just divisible by 1 and itself. So, let's analyse each number.
Number 14
If you divide 14 by 1 you obtain 14.
If you divide 14 by 14 you obtain 1.
If you divide 14 by 2 you obtain 7.
If you divide 14 by 7 you obtain 2.
14 is not prime because is divisible by 1, 2, 7, and 14
Number 13
If you divide 13 by 1 you obtain 13.
If you divide 13 by 13 you obtain 1.
13 is a prime number because it can't be divided by other number, just 1 and itself
Number 21
If you divide 21 by 1 you obtain 21.
If you divide 21 by 21 you obtain 1.
If you divide 21 by 3 you obtain 7.
If you divide 21 by 7 you obtain 3.
21 is not prime because is divisible by 1, 3, 7, and 21
Number 33
If you divide 33 by 1 you obtain 33.
If you divide 33 by 33 you obtain 1.
If you divide 33 by 3 you obtain 11.
If you divide 33 by 11 you obtain 3.
33 is not prime because is divisible by 1, 3, 11, and 33
Thus, 13 is the prime number
No even numbers can be primes because they are all divisible by 2.
Therefore, 14 is not a prime number.
21 ÷ 3 = 7
33 ÷ 3 = 11
That leaves 13.
13 is a prime number.
–4
11
27
Answers
If the equation of the line is written in slope-intercept form, y = mx + b, then the value of b is -21 and is denoted as option A.
What is Slope?
This is also referred to as the gradient of a line and measures its steepness and direction.
Slope = (y₂ - y₁) / (x₂ - x₁)
Parameters
J(-4, -5) and K(-6, 3)
= (3 - (-5)) / (-6 - (-4))
= (3 + 5) / (-6 + 4)
= 8 / -2
= -4
Substitute one of the coordinates into the formula to solve for b
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
b = - 21
Read more about Slope of a line here brainly.com/question/20848
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Find the slope that passes between the points.
(y₂ - y₁) / (x₂ - x₁)
J(-4, -5)
K(-6, 3)
(3 - (-5)) / (-6 - (-4))
(3 + 5) / (-6 + 4)
8 / -2
-4
Now slap that slope into the formula and substitute on of the coordinates to the formula to solve for b (I'll take point K's coordinate):
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
- 21 = b
b = -21
Answers
55/60 simplified = divide both by 5 = 11/12