Answer:
y = 3 + 0.40x
Step-by-step explanation:
Fixed cost of taxi fare = $3
Additional cost = $0.40
Let
y = Total cost
x = number of kilometers
The equation:
Total cost = Fixed cost of taxi fare + (Additional cost * number of kilometers)
y = 3 + 0.40x
Answer: Kara should have written the proportion in step 1 as;
Start Fraction 12 Over 72 End Fraction = Start Fraction 14 Over x End Fraction (that is 12/72 = 14/x)
Step-by-step explanation: The two similar triangles are given with the following dimensions;
Triangle VXW with side VW = 12 and side VX = 14. Also Triangle ZXY with side YZ = 72 and side XZ = x.
For two triangles to be similar, then there must be a similarity ration that is consistent with all sides in both triangles. This means if in the first triangle a side measures 1 unit and the similar side in the other triangle measures 5 units, then the ratio of similarity of corresponding sides shall be ratio 1 : 5. So for every corresponding side in the second triangle the measurement shall be times five of the side that corresponds in the first triangle.
Therefore, in triangle VXW and triangle ZXY, the corresponding sides are as follows;
VX = ZX
VW = ZY
XW = XY
What Kara did was as follows;
VX/ZY = VW/ZX
Which translates to 14/72 = 12/x
This was a wrong calculation because the side that corresponds to VX is ZX and not ZY.
The correct step should therefore have been;
VW/ZY = VX/ZX
12/72 = 14/x (Step 1)
12x = (72) (14) {Step 2}
x = 1008/12 (Step 3)
x = 84 (Step 4)
Answer:
27
Step-by-step explanation:
Let the middle number be x.
(x - 1)(x)(x + 1) = 21,924
You can solve that equation, or you can use logic.
The 3 numbers are going to be close to the cubic root of 21,924.
cubic root of 21,924 = 27.988 or approx 28.
Try 27, 28, 29
27 * 28 * 29 = 21,924
Answer: 27
Answer:
even numbers greater than 50 and prime numbers greater than 50
Step-by-step explanation:
An event can be considered as mutually exclusive in probability and statistics when two sample propositions cannot be held as true by any means. Therefore, the pair that clearly illustrates a mutually exclusive event would be "even numbers greater than 50 and prime numbers greater than 50."
The only prime number that is even is 2, so even numbers over 50 would be divisible by 2, and then not prime.
Divide 1/2 by 1/8 by doing Keep change flip. 1/2 divided by 1/8 turns to 1/2 x 8/1 =9/2 and then divide 9/2 like this 9 divided by 2= 2 1/2
