Answer:
A: 19:26 B:7:8 C:26:45
Step-by-step explanation:
<u>Question A</u>
First to find the ratio between the boys and girls you would add all of the different groups with boys and girls. This would be done by,
<u>Boys</u>
9+10=19
<u>Girls</u>
12+14=26
Now that you have the total number of boys and girls you make this ratio,
19:26
That is the final answer
<u>Question B</u>
For this it is very similar to the boys to girls ratio. You still add the total on each side and then form a ratio. From before you would start by adding both of the different sides which would be done by,
<u>Fifth Graders</u>
12+9=21
<u>Sixth Graders</u>
14+10=24
Now that you have the total number of both of the different grades you make this ratio,
21:24
You can simplify this by finding the lowest common factor which would be
7:8
<u>Question C</u>
To answer this it is very similar to the first two but instead you will find one group and all of the groups to form the ratio. Now you need to add all of the people in each of the groups.
<u>Girls</u>
12+14=26
<u>All</u>
12+9+14+10=45
Now with the total number of both you will form a ratio
26:45
This is your final answer because you cant simplify this any further
Here, first we need to calculate the slope of the line,
Here, Coordinates = (-6, 2) (-1, -4)
m = y2 - y1 / x2-x1
m = 2 + 4 / -6 + 1
m = 6/-5
m = -6/5
Now, Take first coordinate: y - 2 = -6/5 (x + 6)
Second coordinate: y + 4 = -6/5 (x + 1)
In short, Your Answers would be Option C & D
Hope this helps!
Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
<h3>What is the distance?</h3>
Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position
We know that r × t = d
r = rate of speed
t = time
d = distance
For the motor boat
9 × t = d = rate × time
For the tour boat
27 × (t - 2) = d = rate × time
When they both cover the same distance in the same amount of time, they will eventually cross paths.
They both cover the same d-mile distance, so:
9 ×t = 27 × (t - 2)
Simplify to get:
9 × t = 27 × t - 54
18 t = 54
t = 3
The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.
The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.
Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.
To know more about distance visit: brainly.com/question/18850325
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So basically 42=x times 64 or 42=64x where you want x to be represented as a fraction so just don't simplify as much
42=64x
divide both sdies by 64
42/64=64/64x
42/64=1x
x=42/64
simplify
42/64=21/32
the answer is 21/32 in simplest form
For problems like this you can move the y's on the bottem up top by fliping the sign of the exponent (in this case 7 to -7) and MULTIPLYING it with EVERYTHING on top, then because of properties of multplication you can add the exponents to combine them into one term (in this case add 3 and -7 to get -4)
If any of this does not make sense let me know and ill try to clarify better
