Answer:
345
Step-by-step explanation:
We can solve this problem by two equations. Our variables will be the following:
is the amount to be multiplied
and is the amount that should be obtained by multiplying by 43
Thus our <u>first equation</u> is:
But the problem tells us that there was an error and the number was multiplied by 34, so the result failed by 3105, thus the <u>second equation</u> is as follows:
By multiplying the quantity by 34, an amount is obtained that differs from 3105 from what it would have been obtained if multiplied by 43.
Now we are going to <u>replace the first equation in the second one </u>():
And clear to find x:
The number that jimmy was supposed to multiply by 43 is 345.
Answer: plane 1: 420 mph; plane 2: 500 mph
Step-by-step explanation:
This is a physics exercise, but in order to solve this problem, you need to identify both planes first:
Let's call the plane 1 speed X
V1 = X
And V2 would be:
V2 = V1 + 80 = X + 80
If we combine both speeds:
V = V1 + V2 = X + X + 80 = 2X + 80
Now that we have an expression for the combined speed, let's see the rest of the data:
Distance: d = 1380 mile
Time: t = 1.5 h
We also know that the formula to get speed is:
V = d/t
We have the combined speed, so, let replace it in the above formula to solve for X:
2X + 80 = 1380/1.5
2X + 80 = 920
2X = 920 - 80
2X = 840
X = 840/2
X = V1 = 420 mph
We have V1, so to get V2:
V2 = 420 + 80 = 500 mph
Answer:
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Answer:
A = 10m^2
Step-by-step explanation:
Divide the figure into 3 smaller figures (a triangle, a rectangle, and a square). Then, solve for the area of each composite figure.
A of triangle = (2 x 2)/2 = 2
A of rectangle = 4 x 1 = 4
A of square = 2 x 2 = 4
A of figure = 2 + 4 + 4 = 10m^2
Another way to solve this is to find the area of the entire figure plus the area of a triangle. This would look like A = 3 x 4 = 12. But, since the extra triangle area is included, we must subtract this from the total area.
A of triangle = (2 x 2)/2 = 2
A of figure = 12 - 2 = 10m^2