Hey there!
To start, first let's assign a variable to each person:
A to represent the miles biked by Albert
B to represent the miles biked by Bob
Now, let's set up a system of equations:
A=3B
A + B = 72
Next, use substitution (plug 3B in for A in the second equation since A is equal to 3B):
3B + B = 72
Then, simplify and solve:
3B + B = 72
(combine like terms)
4B = 72
(divide both sides by 4)
B=18
Now that you know the amount that Bob biked, you can plug his miles into the equation for Albert: A=3B
B=18
A=3(18)
A= 54
Your final answer would be that Albert biked 54 miles.
Hope this helps!
1. -3
2. 3
3. 12
4. 0.5
5. 0
6. All real numbers
Answer:
yes at an average of 150 pizzas a day they both sell about the same by the end of the week
Answer:
Step-by-step explanation:
a)
p(d) - probability of a rivet being defective
p(r) - probability of seam needing to be reworked
The probability of the seem needing to be reworked is equal to the probability that ANY of 24 rivets is defective
Thus the probability that none of the 25 rivets is defective is 1-p(r)
p(r) = 16%, thus 1-p(r) = 84%
1-p(r) = (1-p(d))^24
0.84 = (1-p(d))^24
0.84^(1/24) = 1-p(d)
==> 1-p(d) = 0.9927615998
==> p(d) = 1-0.9927
==> p(d) = 0.0073
b) given p(r) = 8%, thus 1-p(r) = 92%
1-p(r) = (1-p(d))^24
0.92 = (1-p(d))^24
0.92^(1/24) = 1-p(d)
==> 1-p(d) = 0.99653179446
==> p(d) = 1-0.9965
==> p(d) = 0.0035
Answer:
No
Step-by-step explanation:
You cannot conclude that ΔGHI is congruent to ΔKJI, because although you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K), we don't know the side lengths.
All the angles could be congruent, but the sides might be different. For example, ΔGHI might be a bigger triangle than ΔKJI, which could make them similar to one another, but not congruent.
For something to be congruent to another, everything must be exactly the same.
