The plans cost the same at 125 miles. the cost is $63.50
Answer:
x = 38
y = 41
z = 123
Step-by-step explanation:
x + y + z = =202
y = x + 3
z = 3y = 3(x + 3) = 3x + 9
<u>x</u> + <u>y</u> + <u>z</u> = <u>x</u> + <u>x + 3</u> + <u>3x + 9</u> = 5x + 12 = 202
5x + 12 = 202
5x = 190
x = 38
y = x + 3 = 41
z = 3y = 123
Answer:
33/10 and 55/15
Step-by-step explanation:
Possible denominators that are multiples of 5 less than 17 are 5, 10, 15.
Corresponding numerator ranges are [15, 20], [30, 40], and [45, 60]. In only two of these ranges are there any multiples of 11.
33 in [30, 40]
55 in [45, 60]
So, there are only two possible fractions meeting your requirement:
33/10 and 55/15
Remark
It's a right triangle so the Pythagorean Theorem applies. All you have to do is put the right things in the right places of the formula.
Givens
a = x
b = x + 4
c = 20
Formula and Substitution.
a^2 + b^2 = c^2
x^2 + (x + 4)^2 = 20^2
Solution
x^2 + x^2 + 8x + 16 = 20 Collect the like terms on the left.
2x^2 + 8x + 16 = 20 Subtract 20 from both sides.
2x^2 + 8x + 16 - 20 = 0
2x^2 + 8x - 4 = 0 Divide through by 2
x^2 + 4x - 2 = 0
Use the quadratic formula
a = 1
b = 4
c = - 2

From which x = (-4 +/- sqrt(24) ) / 2
x1 = (- 4 +/- sqrt(4*6) ) / 2
x1 = (- 4 +/- 2 sqrt(6) ) / 2
x1 = -2 + sqrt(6)
x2 = -2 - sqrt(6) This is an extraneous root. No line can be minus.
x1 = + 0.4495
x2 = x + 4 = 4.4495
Answer:
120376
Step-by-step explanation:
Primeiro peguei 60x11 e os multipliquei e obtive 660. Em seguida, descobri que 346 ^ 2 é 119716. Somei meus dois números e obtive 120376.
Espero que isso ajude você! :)