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Eduardwww [97]
2 years ago
6

The Broad River Outpost rents kayaks. They charge $8

Mathematics
1 answer:
alexandr402 [8]2 years ago
3 0

Answer:

4 Hours.

Step-by-step explanation:

Since they charge $5 for every hour, we can use 5(x) as our first variable, x being the number of hours that he rented the paddle boar. Also, since they charge $8 up front, we have to subtract that from the total cost , so it would be $28 - $8. After this we divide the result ($20) by 5, since our coefficient is 5, and it costs $5 to rent it every hour. This results in 20/5, and comes out to 4 hours in total.

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Which one is correct?
kupik [55]

Answer:

A

Step-by-step explanation:

Subtract 1 from both sides and divide by 2. This will leave you with x=-2 which is the simplified form of the equation.

5 0
3 years ago
Hector is flying a kite. He has let out 86 feet
Kaylis [27]

Answer:

Hector's kite is 61.84 feet from the ground.

Step-by-step explanation:

The angle of elevation of the kite is 42°15’30” when converted to decimals, it is 42.258333^{0} ≅ 42.26^{0}

Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,

Sin θ = \frac{opposite}{hypotenus}

Sin 42.26^{0} = \frac{x}{86}

⇒ x = 86 x Sin 42.26^{0}

      = 86 x 0.6725

     = 57.835

x ≅ 57.84 feet

The height of Hector's kite from the ground = x + 4

                                    = 57.84 + 4

                                   = 61.84 feet

7 0
3 years ago
A store had 150 laptops in the month of January. Every month, 20% of the laptops were sold and 10 new laptops were stocked in th
Softa [21]

<u>Answer-</u>

\boxed{\boxed{f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0}}

<u>Solution-</u>

Here, n represents the number of months and f(n) represents the number of laptops in the store after n months.

As the store had 150 laptops in the month of January or at the beginning.

So f(0)=150

Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.

As 20% of laptops were sold, so 80% were in the store.

So, after one month total number of laptops in the store,

\Rightarrow f(1)=0.8(150)+10

\Rightarrow f(1)=0.8(f(0))+10     (\because f(0)=150)

Again after one month total number of laptops in the store,

\Rightarrow f(2)=0.8\times (0.8(150)+10)+10

\Rightarrow f(2)=0.8(f(1))+10     (\because f(1)=0.8(150)+10)

Analyzing the pattern, the recursive function f(n) will be,

f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0


3 0
2 years ago
Read 2 more answers
Six times a number equals 3 times the number, increased by 12. Find the number
tino4ka555 [31]

Answer:

x=4

Step-by-step explanation:

"A number" can be rewritten as X:

6x=3x+12

1) subtract 3x on both sides:

3x=12

2) divide both sides by 3:

x=4

4 0
2 years ago
Graph the equation.<br> y=5/17(x-1)(x-9)
Anni [7]

Answer:

Attached Image

Step-by-step explanation:

Vertex: (5, -5)

X-Intercepts: (1,0) (9,0)

Y-Intercepts: (0, 2.813)

hope this helps :)

7 0
2 years ago
Read 2 more answers
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