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andre [41]
3 years ago
12

which equation, written in standard form correctly represents this scenario and indicates what the variables represent?

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

The answer is the third option.

The explanation is shown below:

1. You must keep on mind the information given in the exercise:

- She bough 3 pounds of coffee.

- She bought 2 pounds of chocolate.

- She spent a total of $24.

2. Therefore, you can call the price per pound of coffee x and the price per pound of chocolate y.

3. When you multiply 3 pounds by the price per pound of coffee, you obtain the amount of money she spent for 3 pounds. When you multiply 2 pounds by the price per pound of chocolate, you obtain the amount of money she spent for 2 pounds. If you add both amounts, you obtain the total spent, which was $24.

4. Therefore, you can express this as following:

3x+2y=24

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Suppose △ITH≅△APG.<br><br> Which congruency statement is true?
kupik [55]

It is given that the triangles ITH and APG are congruent.

When the two triangles are congruent, then the corresponding angles and sides are congruent to each other.

By being congruent, the corresponding angles which are congruent are:

IT \cong AP, TH \cong PG, IH \cong AG

Therefore, IH \cong AG

SO, Option 2 is the correct answer.

5 0
3 years ago
Read 2 more answers
*<br> What is the value of x?<br> (x + 35)<br> (3x + 1)<br> x =<br> plzzz help due in 40 mins!
Brilliant_brown [7]

Answer: (x=+17)

Step-by-step explanation:

x+35=3x+1

We move all terms to the left:

x+35-(3x+1)=0

We get rid of parentheses

x-3x-1+35=0

We add all the numbers together, and all the variables

-2x+34=0

We move all terms containing x to the left, all other terms to the right

-2x=-34

x=-34/-2

x=+17

4 0
3 years ago
Suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually.
andrey2020 [161]
<h3>Answer:  1034.44 dollars</h3>

=====================================

Work Shown:

A = P*(1+r/n)^(n*t)

A = 1000*(1+0.0085/1)^(1*4)

A = 1034.43596172007

A = 1034.44

---------------------

Notes:

  • P = 1000 is the deposit or principal
  • r = 0.0085 is the decimal form of the annual interest rate of 0.85%; we can say 0.85% = 0.85/100 = 0.0085
  • n = 1 represents how many times per year we're compounding the money (ie annually)
  • t = 4 = number of years
  • The result of 1034.44 dollars is only possible if you do not withdraw any of the money in the four year time period.
4 0
3 years ago
The parabola y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 4/3 What is the equation of the new
Strike441 [17]

Answer: y = -\frac{4}{3}x^{2}

<u>Step-by-step explanation:</u>

y = ax² ; where a represents the vertical stretch

a reflection across the x-axis is represented by making the a-value negative.

7 0
3 years ago
Read 2 more answers
Pls answer the question
mariarad [96]

Option C:

(11 + 8) + 1 = 11 + (8 + 1)

Solution:

Let us first define the associative property of addition.

<u>Associative property of addition:</u>

(a + b) + c = a + (b + c)

Option A: 5 + 3 = 3 + 5

This represents a commutative property of addition.

i.e. a + b = b + a.

So, it is not true.

Option B: 6 + 1 = 6 + 1

This is not under the property of associative.

It is not true.

Option C: (11 + 8) + 1 = 11 + (8 + 1)

(a + b) + c = a + (b + c)

This reflects the associative property of addition.

It is true.

Option B is the correct answer.

Hence (11 + 8) + 1 = 11 + (8 + 1) illustrates the associative property of addition.

8 0
3 years ago
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