Answer:
$3
Step-by-step explanation:
Let chocolate pie be x and apple pie be y
Darryl made $38 from 2 chocolate pies and 4 apple pies
That’s
2x + 4y = $38
Kayla made $138 from 14 chocolate pies and 12 apple pies
That’s
14x + 12y = $138
We now have two equations
Equation 1 : 2x + 4y = 38
Equation 2: 14x + 12y = 138
Multiply equation one by 12 and equation 2 by 4 to eliminate apple pie y
We have
12 x 2x + 12 x 4y = 12 x 38
4 x 14x + 4 x 12y = 4 x 138
24x + 48y = 456
56x + 48y = 552
Subtract equation equation two from one
-32x = -96
Divide both sides by -32
x = -96/-32
x = 3
A chocolate pie cost $3
Answer:
42
Step-by-step explanation:
To receive this answer:
- Divide the <u>30 orange marbles</u> with the <u>5 orange marbles</u>.
--This will give you 6
2. Multiply 6 with 7.
--This will then give you 42.
- Therefore, (with being checked...) 42 is the correct answer.
Answer:
The intersection point of the two curves is
.
Step-by-step explanation:
From statement we get the following equations:
Supply curve
(1)
Demand curve
(2)
Where:
- Quantity, measured in thousands of metric tons.
- Price, measured in US dollars per metric tons.
If we add both equations, then we find that quantity is:



Then, we finally find the price by substituting on (2):



The intersection point of the two curves is
.
The <em>correct answer</em> is:
False.
Explanation:
An undefined term <em>can</em> be used in a proof.
There are three fundamental undefined terms in geometry: point, line and plane. All three of these can be used in a proof; therefore the statement that an undefined term cannot be used in a proof is false.
Using the Fundamental Counting Theorem, it is found that the buyer has 180 choices.
Fundamental counting theorem:
States that if there are n things, each with
ways to be done, each thing independent of the other, the number of ways they can be done is:
In this question:
- The options are independent.
- There are 5 different exterior colors, hence
.
- There are 3 different interior colors, hence
.
- There are 2 sound systems, hence
.
- There are 3 motor designs, hence
.
- There are 2 transmission options, hence
.
Then:

The buyer has 180 choices.
To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/25799621