Good evening ,
Answer:
The weight : 29 pound
Alan would pay for his dinner : $130
Step-by-step explanation:
Let x represent the weight of the lobster
the cost of the dinner at restaurant 1 is 4x + 14
the cost of the dinner at restaurant 2 is 3x + 43
Now ,we have to solve the equation : 4x + 14 = 3x + 43
4x + 14 = 3x + 43
⇔ x = 43 - 14
⇔ x = 29
In this case Alan would pay the same amount for his dinner at any restaurant:
the price = 4×(29)+14 = 130
= 3×(29)+43 = 130.
:)
Answer:
≈23.6 kg left.
Step-by-step explanation:
For determining this, we can simply use an exponential decay equation representing this scenario:
a: the initial amount
t: the amount of time
h: the half life
Now, substitute the numbers into the equation:
Now, solve this equation:
Use a calculator to solve for y:
y= 200(0.118)
y≈23.6 kg left.
Answer:
21120 hours long
Step-by-step explanation:
42240=20 miles
42240/2=21120h
If Ava waters her lemon tree 12 times, then she has used 10.667 gallons of water.
<u>Solution:</u>
Given that , Ava uses gallons of water every time she waters her lemon tree.
If she waters her lemon tree 12 times, we have to find how much water will she use
Total water used = water used for 1 time number of time water used for plants
Here water used for one time =
Number of time watered = 12
Hence, Ava used 10.667 gallons of water.
Answer:
Step-by-step explanation:
1) 2 - (- 8) = 2 + 8 = 10
2) 2/5 + (- 1/5) = 2/5 - 1/5 = 1/5
3) We can find the common denominators through the least common multiple between the denominators:
4,12 | 2
2, 6 | 2
1, 3 | 3
1, 1 (2 × 2 × 3 = 12)
Then, 12 is the least common denominator.
4) 8 (1/4) + 10 (2/5) + 7 (5/8)
8 (1/4) = 4/4 + 4/4 + 4/4 + 4/4 + 4/4 + 4/4 + 4/4 + 4/4 + 1/4 = 33/4
10 (2/5) = 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 2/5 = 52/5
7 (5/8) = 8/8 + 8/8 + 8/8 + 8/8 + 8/8
+ 8/8 + 8/8 + 5/8 = 61/8
33/4 + 52/5 + 61/8
Employing the least common denominator:
4, 5, 8 | 2
2, 5, 4 | 2
1, 5, 2 | 2
1, 5, 1 | 5
1, 1, 1 (2 × 2 × 2 × 5 = 40)
(40 ÷ 4 × 33)/40 + (40 ÷ 5 × 52)/40 + (40 ÷ 8 × 61)/40
330/40 + 416/40 + 305/40
1051/40
This person ran about 26 Miles
I hope I helped you.