The distance, s = 40t₁ where t₁ is the time to complete the outward journey.
The same distance = vt₂ where t₂ is the time to complete the return journey at speed v.
For the whole journey, 2s=60(t₁+t₂). Therefore s=30(t₁+t₂)=40t₁=vt₂.
30t₁+30t₂=40t₁, 10t₁=30t₂, t₁=3t₂, so s=120t₂=vt₂ and v=120kph.
Answer:
c 1/2
Step-by-step explanation:
You are incorrect.
We are going from ABCDEFGH to A'B'C'D'E'F'G'H'. We are going from the large octagon to the small octagon. The scale factor of a dilation is the number you multiply the original lengths to get the lengths of the dilation.
Look at point (6, 0) which becomes (3, 0) in the dilation.
The distance from the origin to (6, 0) is 6 units.
The distance from the origin to (3, 0) is 3 units.
scale factor = dilated/original = 3/6 = 1/2
The scale factor of the dilation is 1/2.
Also look at segment AB whose length is 4. The length of segment A'B' is 2.
scale factor = dilated/original = 2/4 = 1/2
Answer: 1/2
Answer:
Neither
Step-by-step explanation:
Can be determined because there is enough information (Length, width, and height).
Not congruent because from the picture itself, the figures are in different sizes.
Not similar because:
The height ratio is not the same as the ratios of other dimensions.
1 : 4 is not similar to 6 : 12 and 4 : 8
Hello there! How are you today?
4x + 5 -2 = 3x + 7x - 15
First, we need to get the variable (x) on one side. To do that, we must simplify the right side of the equation, and then decide what to do from there, so let's proceed to do so.
3x + 7x = 10x
4x + 5 - 2= 10x - 15
Now we have x simplified on both sides of the equation. However, we need x to be on one side of the equation in order to solve for it.
Subtract 4x from both sides.
4x - 4x = 0
10x - 4x = 6x
We are now left with:
6x - 15 = 5 - 2
Simplify the right side of the equation.
5 - 2 = 3
6x - 15 = 3
Now we need to isolate x. To isolate x, we need to add 15 to both sides, as x is being subtracted by 15, and adding 15 will cancel it out.
-15 + 15 = 0
3 + 15 = 18
We now are left with:
6x = 18
Now we only have one step left, and that is to solve for x. Since x is being multiplied by 6, we need to perform the opposite order of operations to cancel it out. To do that, we must divide both sides by 6 to solve for x.
6x = 18
Divide both sides by 6.
6x / 6 = x
18 / 6 = 3
We are now left with the solution:
x = 3
I hope this helps!
Yes on day 7, they both have 46 dollars
