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Kazeer [188]
2 years ago
12

Q: Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a

gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica's house? Show your work.
Mathematics
2 answers:
oksian1 [2.3K]2 years ago
4 0

Answer:

The answer to your question is 7.8 mi

Step-by-step explanation:

Data

H (4,3)

G (10, 8)

Process

1.- Use the distance between to points formula to find the distance

        dHG = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}

x1 = 4       y1 = 3

x2 = 10    y2 = 8

2.- Substitution

         dHG = \sqrt{(10 - 4)^{2} + (8 - 3)^{2}}

3.- Simplification

         dHG = \sqrt{6^{2} + 5^{2}}

         dHG = \sqrt{36 + 25}

         dHG = \sqrt{61}

4.- Result

         dHG = 7.8 mi

xenn [34]2 years ago
4 0

Answer:

I agree with the first response. They deserve to get the Brainliest

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The capital budget will be supported with 30% debt and 70% equity. Since the company's income will be $825,000 this is the maximum equity that can be put towards the capital budget and therefor is matched in the ratio 70:30 by borrowings. If $825000 is 70%, divide that (825,000/.70) you’ll get the total maximum budget of $1,178,571 which is letter c. To get the 30%, just deduct the $825,000 to $1,178,571, you’ll get $353,571. To make sure your answer is correct, add up the 70% and 30% values and if they make the original total value, then the answer is correct. $825,000 + $353,571 = $1,178,571

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2 years ago
Sam, Joe, Lynn, and Kori are four business colleagues traveling together on a business trip. There are four adjacent seats avail
DanielleElmas [232]

Answer:

A. Sam, Joe, Lynn, Kori

B. Kori, Lynn, Sam, Joe

Step-by-step explanation:

We need Kori and Lynn together and Kori and Sam at least a seat apart.

A. Sam, Joe, Lynn, Kori

B. Kori, Lynn, Sam, Joe

C. Lynn, Kori, Sam, Joe

D. Responses A and C

It seems both A. Sam, Joe, Lynn, Kori and B. Kori, Lynn, Sam, Joe both work. There is no choice for both of them so I'll just put both of them as my answer.

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2 years ago
An investment firm offers three types of equity investments,
Fudgin [204]

Answer:

<u>The expected value of the total return rate for the firm's clients is C. 7.4%</u>

Step-by-step explanation:

1. Let's review all the information given for solving the question:

Type of equity investments = A, B and C

Percentage of investment in each type of equity = 30% in A, 50% in B and 20% in C.

Rates of return of each type of equity investment = 10% for A, 6% for B and 7% for C.

2. Let's find the expected value of the total return rate for the investment firm:

Return rate for each type of investment = Percentage of investment * Rate of return

For A = 30% * 10% = 0.3 * 0.1  = 0.03

For B = 50% * 6% = 0.5 * 0.06 = 0.03

For C = 20% * 7% = 0.2 * 0.07 = 0.014

Total return rate = Return rate for A + Return rate for B + Return rate for C

Total return rate = 0.03 + 0.03 + 0.014 = 0.074

<u>Total return rate = 0.074 * 100 = 7.4%</u>

<u>The expected value of the total return rate for the firm's clients is C. 7.4%</u>

5 0
2 years ago
Read 2 more answers
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Answer:

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At a particular restaurant, each mini hotdog has 80 calories and each pizza roll has 50 calories. A combination meal with mini h
cestrela7 [59]

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Step-by-step explanation:

Given,

Calories in each hotdog = 80 calories

Calories in each mini pizza = 50 calories

Combined meal = 20

Combined calories = 1450 calories

Let,

x represent the number of hot dogs.

y represent the number of mini pizzas.

According to given statement;

x+y=20     Eqn 1

80x+50y=1450    Eqn 2

Multiplying Eqn 1 by 80

80(x+y=20)\\80x+80y=1600\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

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Dividing both sides by 30

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Putting y=5 in Eqn 1

x+5=20\\x=20-5\\x=15

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10546617
  • brainly.com/question/10552347

#LearnwithBrainly

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