Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days.

Answer:

500 inches

Step-by-step explanation:

Let C₁ and n₁ be the circumference and the number of rotations of the larger wheel. Also, let C₂ and n₂ be the circumference and the number of rotations of the smaller wheel. Since the distance moved by both wheels from Ally's house to her neighbor's house is the same, n₁C₁ = n₂C₂. (1)

Also it is given that half the circumference of the larger wheel is 5 inches more than the circumference of one of the smaller wheels.

So, C₁/2 = C₂ + 5

C₁ = 2(C₂ + 5)  (2)

Substituting C₁ into (1), we have

n₁C₁ = n₂C₂.

n₁[2(C₂ + 5)] = n₂C₂.

Since n₁ = 10 and n₂ = 25, we have

10[2(C₂ + 5)] = 25C₂

20(C₂ + 5) = 25C₂

expanding the bracket,

20C₂ + 100 = 25C₂

collecting like terms, we have

25C₂ - 20C₂ = 100

5C₂ = 100

dividing both sides by 5, we have

C₂ = 100/5

= 20 inches

So, the distance between Ally's house and her neighbor's house is d = n₂C₂ = 25(20)

= 500 inches

The distance travelled by Ally's tricycle is [tex]500inches[/tex]

Let

[tex]d=\text{the distance between Ally's house and her neighbor's house}\\C_b=\text{the circumference of the larger wheel}\\C_s=\text{the circumference of each of the smaller wheels}[/tex]

Then, from the question

[tex]d=10C_b=25C_s\\\\\frac{C_b}{2}=C_s+5[/tex]

Eliminating [tex]C_s[/tex] from the second statement, we get

[tex]\frac{C_b}{2}=5+\frac{2C_b}{5}[/tex]

Solving for [tex]C_b[/tex],

[tex]C_b=50inches[/tex]

To calculate the distance travelled between her house and her neighbor's house,

[tex]d=10C_b\\\implies d=10\times 50inches=500 inches[/tex]

Therefore, the distance travelled between Ally's house and her neighbor's house is [tex]500inches[/tex]

Learn more about circumferences here: https://brainly.com/question/3131741

Answer:

3

Step-by-step explanation:

Michael must find the smallest number possible that can divide 60 and 45 then take the two quotients after dividing the 2 types of cookies by the smallest number possible.

2 is not possible as 45 is an odd number

3 can divide both 60 and 45

60/3 = 20 oatmeal cookies in each container.

45/3 = 15 chocolate chip cookies in each container.

Answer:

£624

Step-by-step explanation:

£ (78 * 8)

= £624

Hope this helped!

Answer:

x = 142

Step-by-step explanation:

The problem;

[tex]\sqrt{x+2} - 15 = -3[/tex]

Inverse operations;

[tex]\sqrt{x+2} -15 = -3\\ +15 +15\\\\\\\\\sqrt{x+2} = 12\\\\[/tex]

Now undo the square, by squaring both sides;

[tex]\sqrt{x+2} = 12\\.^{2} \\\\\\ \\x+2 = 144[/tex]

Inverse oeprations;

x + 2 = 144

  -2        -2

x = 142

Answer:

x = 142

Step-by-step explanation:

(:

Answer:

$37.85

Step-by-step explanation:

the answer is 37 dollars and 85 cents

Answer:

im pretty sure its option 3

Step-by-step explanation:

its unique

Answer:

Option 2

Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.

B seems like the corrects answer because wen dont know how many days and he has 60 dollars

Answer:

B

Step-by-step explanation:

7d is how much money he spends on lunch in all

then you need to subtract from 60 because that is the total amount of money he has

Answer:

34

Step-by-step explanation:

184 divided bye 4

Answer:

37 miles

Step-by-step explanation:

148/4

Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = intercept

Answer:

Therefore, the birds visited the feeder = 96

Step-by-step explanation:

Five out of eight birds that visited the feeder ate the birdseed.

i.e. the ration is: 5/8

Given that 60 birds ate the birdseed today.

Note that if we multiply '5' by '12', we get the number 60.

Now, all we need to is to also multiply '8' by '12' to maintain the initial ratio which is 5/8.

i.e. (5×12) / (8×12) = 60/96

Therefore, the birds visited the feeder = 96

Answer:

a. f(x)=-x+1

Step-by-step explanation:

Answer:

Initial value of a graph is always the variable a.

Step-by-step explanation:

If you have any questions about that, let me know :)

Answer:

The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point where the line crosses the y-axis. An increasing linear function results in a graph that slants upward from left to right and has a positive slope.

Step-by-step explanation:

Everytime the dice is rolled, there is a 50% chance to get an odd number.

Hence 50% * 50% = 25%.

Answer:

the ratio of the number of carrots to the number of other vegetables is  25 : 12

Step-by-step explanation:

The computation is shown below:

Given that

Total vegetables = 425

Out of which 125 vegetables represent carrot

the other vegatables should be

= 425 - 125

= 300

Now the ratio of the number of carrots to the number of other vegetables is

= 125 : 300

= 25 : 12

Hence, the ratio of the number of carrots to the number of other vegetables is  25 : 12

Answer:

let x be the number

seven less than three times a number ==> 3x - 7

Step-by-step explanation:

Answer:

x=10.001

Step-by-step explanation:

Answer:

Sales tax was 18%

Step-by-step explanation:

590-500= 90

90÷500=0.18

Answer:

250

Step-by-step explanation:

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=180             r=0.026              t=12

Given values

A=180e^{0.026(12)}

A=180e

0.026(12)

Plug in

A=180e^{0.312}

A=180e

0.312

Multiply

A=245.90784475

A=245.90784475

Use calculator (with e button)

A\approx 250

A≈250

Round to nearest ten dollars

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By calculating on the basis of compound interest, after 12 years Logan will have $242.9 in his account.

Compound interest is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.

Here, the amount of money after n years as per compound interest,

S = P(1 + r)ⁿ.

Where, P = Principle = $180, r = rate of interest = 2.6%, n = time period = 12 years

Now, S = $180(1 + 2.6/100)¹² = $180(1 + 0.026)¹² = $180(1.026)¹² = $242.9

Hence, after 12 years, Logan will have $242.9 in his bank account.

Learn more about compound interest here: brainly.com/question/25857212

#SPJ2

Answer:

i think it's undefined

Step-by-step explanation:

Answer:

28.5

Step-by-step explanation:

(7×18+45)÷3×2

7x8 = 126

3x2 =6

(126+45) / 6

126+45= 171

171 /6

171/6 = 28.5

Answer:

your going to need to show the whole question

Answer:

One solution

Step-by-step explanation:

Saw it in another answer that was right xD

Answer:

Grape juice has 180 containers.

Step-by-step explanation:

Given that the ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices.

i.e.

Orange Juice containers : Grape Juice containers = 5 : 4

Total containers = 405

It means if we divide 405 by 9, we get the 9 equal parts of 45.

i.e. 405 / 9 = 45

as

Orange Juice containers : Grape Juice containers = 5 : 4

It means the share of Grape Juice containers is 4 parts out of 9 parts.

Thus, multiply 45 by 4 to determine the number of containers grape juice have:

45 × 4 =  180 containers

Therefore, grape juice has 180 containers.

Answer:

L

Step-by-step explanation:

1

2

3

4

5

6

7

8

8

0

1

Answer:

the slope of the parallel line would also be -9/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

What’s the question?

Step-by-step explanation:

Answer:

 3.5x

Step-by-step explanation:

the medium box would be 1x, if small is half the size, its 0.5x, and large is 2x since its 2x the size of medium. add all of them up and its 3.5x size