You estimate that there are 66 cars in a parking lot. The actual number of cars is 75.

Answers

Answer 1
Answer: If you are asking how to estimate it would be right.

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Evaluate the following expression. 7 × 22 + (8 - 2) ÷ 3

Answers

Answer:

156

Step-by-step explanation:

Using PEMDAS: We do the paranthese first:

7 * 22 + (8-2) / 3.

7 * 22 + 6 / 3.

Multiply / Divide:

154 + 6 / 3

154 + 2

156

You multiply 7 and 22 than add (8-2) than divide 3 than you will get 156

The pressure at sea level is 11 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of 2323 meters, the pressure around her is 3.33.3 atmospheres. The pressure pp in atmospheres is a function of xx, the depth in meters. Write the function's formula.

Answers

Answer:

p(x) = 0.1x + 1

Step-by-step explanation:

Pressure at sea level = 1 atmosphere

Depth dove by Sydney = 23 meters

Pressure at a depth of 23 meters = 3.3 atmospheres

So,

Pressure at a depth of 23 meters = Pressure at sea level + k * Depth dove by Sydney

where k is  the diving rate constant

=> 3.3 = 1 + k(23)

=> 3.3 = 23k + 1

Subtracting 1 from both the sides, we get

3.3 - 1 = 23k + 1 -1

Cancelling out the +1 and -1 from the right side, we get

2.3 = 23k

=> 23k = 2.3

Dividing both sides by 23, we get

(23k)/(23) = (2.3)/(23)

Cancelling out the 23's from the top and bottom of the left side, we have

k = 0.1

Plugging in the value of k in the equation, we get

Pressure at a particular depth = Pressure at sea level + k * Depth dove by Sydney

p(x) = 1 + k(x)     [where p(x) is the pressure at a depth x]

=> p(x) = 1 + 0.1(x)

=> p(x) = 0.1x + 1

Answer:

0.1x + 1

Step-by-step explanation:

How many minutes is it from 8:00am to 11:40am?

Answers

Answer:

220 minutes

Step-by-step explanation:

Find how many hours there are between the two times which is 3 hours then multiply 3 by 60 because there are 60 minutes in an hour

Since the time is 11:40 we also know 40 minutes have passed so add the two minutes

40+180=220

0.4(2x-9)-0.6(4x+5)=

Answers

Answer:

From what I can comprehend I believe the answer is 3.2x + -4

Step-by-step explanation:

0.4(2x-9) = 0.8x - 9

0.8x - 9 - 0.6(4x+5)=

0.8x - 9 + 2.4x+5

0.8+2.4 = 3.2x

-9 + 5 = -4

3.2x + -4

What are the solutions of the equation x4 + 6x2 + 5 = 0? Use u substitution to solve.x = i and x = i 5

X=+ i and x i 5

x=+ -1 and x= + -5

x= -1 and x= + - 5

Answers

The solutions of the equation are x=\pm i, x=\pm √(5)i

Explanation:

Given that the equation is x^(4)+6 x^(2)+5=0

We need to determine the solutions of the equation.

Let us substitute x^(2) =u and x^4=u^2

Thus, the equation becomes,

u^(2)+6 u+5=0

Factoring the equation, we get;

(u+1)(u+5)=0

      u=-1, u=-5

Substituting back x^(2) =u and solve for x.

First, we shall substituteu=-1

Thus, we get;

x^(2) =-1

x=√(-1)

x=\pm i

Similarly, substituting u=-5, we get;

x^(2) =-5

x=√(-5)

x=\pm √(5)i

Thus, the solutions of the equation are x=\pm i, x=\pm √(5)i

A car wash charges a flat rate for the first 8 minutes of washing time and also charges a certain amount for each additional minute of washing time. Gina took 12 minutes to wash her car and it cost her a total of $5.00. Kris took 17 minutes to wash his truck at a total cost of $6.25.How much is the is the flat rate for the first 8 minutes? show equation to find answer. Plz answer this word problem.

Answers

flat rate = x

so for the first eight minutes they both have the same rate
so this is also true
Gina took 4 minutes to wash her car and it cost her a total of $5-x
Kris took 9 minutes to wash his truck and it cost him a total of $6.25-x
so for overtime 4mins=5-x,  9mins=6.25-x
4 times 9 = 36 so
36 mins = (45-9x)=(25-4x)
so 45-9x=25-4x
subtract 25 from both sides and get
20-9x= -4x
subtract add 4x to both sides
20-5x=0
factor out the five
5(4-x)=0
(4-x) must =0
4-x=0
add x to both sides
4=x
it cost $4 for flat rate