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Lina20 [59]
3 years ago
5

Linnea is renting a bike. It costs $4.50 per hour plus a $5 deposit​

Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:4.50h+5

Step-by-step explanation:

It $4.50 times how many hours you rent plus the $5 deposit

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Trees are planted at intervals of 5 m along side of a 140 m straight path. The first tree is planted at the start of the path an
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<h3>Solution :</h3>

Distance between first tree and last tree is 140m .

And distance between each tree (d) = 5 m

let's solve for number of trees (n) :

\hookrightarrow \: (n - 1)d = 140

\hookrightarrow \: (n - 1)5 = 140

\hookrightarrow \: n - 1 =  \dfrac{140}{5}

\hookrightarrow \: n = 28 + 1

\hookrightarrow \: n = 29

hence, total number of trees = 29.

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2 years ago
Combine like terms.
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3 years ago
The harbormaster wants to place buoys where the river bottom is 20 feet below the surface of the water. Complete the absolute va
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Answer:

The answer is below

Step-by-step explanation:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed

Answer:

To solve the problem, the depth of the water would be equated to the position of the river bottom.

d(h)=river \ bottom\\\\The \ river \ bottom=-20\ feet(below)\\\\d(h) = -20\\\\\frac{1}{5}|h-240|-48=-20\\ \\\frac{1}{5}|h-240|=-20+48\\\\\frac{1}{5}|h-240|=28\\\\|h-240|=28*5\\\\|h-240|=140\\\\h-240=140\ or\ h-240=-140\\\\h=140+240\ or\ h=-140+240\\\\h=380\ or\ h=100\\\\The\ buoys\ should\ be\ placed\ at\ 100\ feet\ and\ 380\ feet\ from\ left-hand\ shore

4 0
3 years ago
The corresponding sides of two similar rectangles are 14 ft and 8 ft. The area of the smaller rectangle is 57 ft2. To the neares
Elina [12.6K]
C 100 ft2  need more characters sorry ashdashdasisncsijdhcfniuslfnxcm
8 0
3 years ago
Read 2 more answers
A water well is to be drilled in the desert where the soil is either​ rock, clay or sand. The probability of rock ​P(R)equals=0.
GaryK [48]
The tree diagram for the probability is shown below

P(Clay|Positive) is read 'Probability of Clay given the result is Positive'.

This is a case of conditional probability.

The formula for conditional probability is given as
P(Clay|Positive) = P(Clay∩Positive) ÷ P(Positive)

P(Clay∩Positive) = 0.21×0.48 = 0.1008

P(Positive) = P(Rock∩Positive) + P(Clay∩Positive) + P(Sand∩Positive)
P(Positive) = (0.53×0.53) + (0.21×0.48) + (0.26×0.75)
P(Positive) = 0.2809 + 0.1008 + 0.195
P(Positive) = 0.5767

Hence,
P(Clay|Positive) = 0.1008÷0.5767 = 0.175 (rounded to 3 decimal place)

5 0
3 years ago
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