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sp2606 [1]
3 years ago
13

John left his house in Irvine at 8:20 AM to drive to a meeting in Los Angeles, 45 miles away. He arrived at the meeting at 9:50

AM. At 5:30 PM, he left the meeting and drove home. He arrived home at 7:45 PM.
Mathematics
1 answer:
snow_lady [41]3 years ago
7 0
What’s the question?
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On a certain hot​ summer's day, 645 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for
VladimirAG [237]

Answer:

327 children and 318 adults

Step-by-step explanation:

The x be the amount of children and y be the amount of adults that were at the swimming pool. We can use this to set up a system of equations:

x+y=645

1.75x+2.50y=1367.25

Move y to the other side in the first equation to isolate x and solve the system using substitution:

x=645-y

  1.75(645-y)+2.50y=1367.25

Distribute

1128.75-1.75y+2.50y=1367.25

         1128.75+0.75y=1367.25

Subtract 1128.75 from both sides

                        0.75y=238.5

Divide both sides by 0.75

                                y=318

x=645-y

x=645-318

x=327

327 children and 318 adults swam at the pool that day

4 0
2 years ago
The East Side Bulldogs and the West Side Bears are playing a football game. A fan is keeping score using T for a touchdown, wort
Natalka [10]

Answer:

touchdown babay

Step-by-step explanation:

score touchdowns

7 0
3 years ago
I'm stuck on graphing this quadratic equation:<br><img src="https://tex.z-dn.net/?f=y%20%5Cleqslant%20%20%7Bx%7D%5E%7B2%7D%20%20
rewona [7]
Your welcome I hope it is right

7 0
3 years ago
Sarah is doing research on the average age of first-year resident physicians. She wants her estimate to be accurate to within 1
WINSTONCH [101]

Answer: The number of first-year residents she must survey to be 95% confident= 263

Step-by-step explanation:

When population standard deviation (\sigma)  is known and margin of error(E) is given, then the minimum sample size (n) is given by :-

n=(\dfrac{z^*\sigma}{E})^2, z* = Two-tailed critical value for the given confidence interval.

For 95% confidence level , z* = 1.96

As, \sigma = 8.265, E = 1

So, n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]

Hence, the number of first-year residents she must survey to be 95% confident= 263

7 0
3 years ago
Given f(x) = 5x + 7,g(x) = 3x-1 find f(g(x))
kakasveta [241]

Answer:

f(g(x)) = 15x + 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Distributive Property

<u>Algebra I</u>

  • Functions
  • Function Notation
  • Composite Functions

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 5x + 7

g(x) = 3x - 1

<u>Step 2: Find</u>

  1. Substitute in functions:                                                                                    f(g(x)) = 5(3x - 1) + 7
  2. [Distributive Property] Distribute 5:                                                                 f(g(x)) = 15x - 5 + 7
  3. [Addition] Combine like terms:                                                                        f(g(x)) = 15x + 2
7 0
2 years ago
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