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Bad White [126]
3 years ago
14

The sum of the distances two hikers walked is 53mi, and the difference is 25mi. What are the distances? Use a system of equation

s to solve
Mathematics
2 answers:
sdas [7]3 years ago
8 0
A+b=53
a-b=25

2a=78
a=39

39+b=53
b=14
WINSTONCH [101]3 years ago
6 0

Answer:

39 and 14

Step-by-step explanation:

A + B = 53

A - B = 25

(Add the two equations together)

2A = 78

A = 78/2 = 39

B = 53 - 39 = 14

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Each week, you drive 150 miles. Your car gets 25 miles to the gallon, and gas prices are $3 per gallon. How much gas money will
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Im pretty sure the answer is 18
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3 years ago
Jacob went to the gas station with 17.70 he brought a drink for 2.90 and he wanted to spend the rest of the money and a bag of c
nikdorinn [45]

Answer:

17.70-2.90=14.80

14.80/1.85=8

He could buy a maximum of 8 chip bags.

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4 0
3 years ago
A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these ho
riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of ^8C_3 possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

P(S) = \dfrac{ (^1_1) (^7_2)   }{   ^8_3 }

P(S) = \dfrac{21}{56}

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

P(F ∪ (G∩S) = 0.40 + (0.60×0.375)

P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625

5 0
2 years ago
Between x = 2 and x = 3, which function has a greater average rate of change than y = 13 -x ?
Marrrta [24]
For this case what you should know is that the slope of the line can be calculated as:
 Tan x = sin x / cos x
 The lines x = 2 and x = 3 have an angle of 90 degrees with respect to the x axis:
 Tan 90 = sin 90 / cos 90 = 1/0 = inf
 Therefore, both lines have a rate of change that tends to infinity.
 answer
 Both lines have the same slope (infinity) Both are greater than m = -1
3 0
3 years ago
4 bells toll together at 9 am. They toll after 7, 8. 11 and 12 seconds respectively. How many times will they toll together agai
Svetach [21]

Answer:

5 times

Step-by-step explanation:

What we need to do here is to find the lowest common multiple of 7,8,11 and 12

This is;

1848

Now, let’s calculate the number of seconds in 3 hours

In 1 hour, we have 3600 seconds

In 3 hours, this will be;

3600 * 3 = 10,800 seconds

So, to find the number of times in which all 4 will toll together, we need to know the number of 1848 seconds in 10,800 seconds

Mathematically, that will be;

10,800/1848 = 5.844

Our answer will be 5 times however

This is because the sixth time they would have sounded together would be more than the 3 hours time frame

8 0
2 years ago
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