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Ksivusya [100]
3 years ago
13

On Monday Harold picked up four donuts and two large coffees for the office staff. He paid 4.08. On Tuesday Melinda picked up tw

o donuts and three large coffees and paid 3.92. What is the cost of one donut? What is the cost of one large coffee?
Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0
One way to look at this is to make 2 equations and treat it as a set of equations. We will make the cost of a donut equal to x, and the cost of a coffee equal to y.

Harold's order:
4x + 2y = 4.08

Melinda's order:
2x + 3y = 3.92

To combine these equations, we need to cancel out either x or y:
4x + 2y = 4.08
<span>2x + 3y = 3.92
</span>
4x + 2y = 4.08
<span>4x + 6y = 7.84
</span>
4x + 2y = 4.08
<span>-4x - 6y = -7.84
</span>
We can now combine these equations:
4x + 2y = 4.08
<span>-4x - 6y = -7.84
</span>
-4y = -3.76

y = 0.94

Therefore the cost of a large coffee is $0.94. We can plug this into either original equation to find the cost of a donut.
<span>4x + 2y = 4.08
</span>4x + 2(0.94) = 4.08
4x + 1.88 = 4.08
4x = 2.20
x = 0.55

The cost of a donut is $0.55, and the cost of a large coffee is $0.94.
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Rufina [12.5K]

Answer:

The correct option is;

(3) The sample of track athletes show that there is a correlation between foot size and running speed

Step-by-step explanation:

The statements are analysed as follows;

(1) Smaller foot sizes cause track athletes to run slower.

The above statement is a conclusion and it infers more information than is contained in the question statement because there are other factors such as taller athletes run faster than average sized athletes

(2) The sample of track athletes shows a causal relationship between

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The above statement is similar to the one above as it is a milder conclusion and it infers more information than is contained in the question statement

(3) The sample of track athletes shows a correlation between foot size

and running speed.

The  above statement is correct as is directly supported by the data as it is a statement made based directly the data

(4) There is no correlation between foot size and running speed in

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The above statement is not supported by the available data.

3 0
3 years ago
Complete the rational operation <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7Bx%20-%205%7D%20%20-%20%20%5Cfrac%7Bx%7
prisoha [69]
We have
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We make the GCF and we have
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An answer to your question is (15-x^2+5x)/(5x-25)
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3 years ago
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Rudik [331]

Answer:

- 0.5 - 1.7 = - 2.2

Step-by-step explanation:

We need to add two numbers using the number line.

Steps to Add Numbers on the Number Line:

When we add a negative numbers that we move the point to the left of the number line.

We are adding two negative numbers. Locate the first number which is -0.5. Then, add negative 1.7 to it which means moving the existing point 1.7 units to the left of the number line.

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2.2 is left side it means sign is negative.

Final answer is -2.2

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