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Paha777 [63]
3 years ago
12

Use two sets of coordinates to write an equation to describe the relationship.

Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0

Answer/Step-by-step explanation:

An equation that describes the relationship can be written as y = mx.

Using the two sets of coordinates, (2, 140) and (4, 280), calculate the slope (m) as shown below:

\frac{y_2 - y_1}{x_2 - x_1} = \frac{280 - 140}{4 - 2} = \frac{140}{2} = 70

Substitute m = 70 into y = mx

The equation would be:

y = 70x

This equation can be interpreted as follows:

The heart's resting rate is 70 beats each minute.

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One apple and three oranges cost $5.10 and another 5 oranges and one Apple cost $7.50 what is the price of one apple and one ora
alekssr [168]

Answer:

$2.7

Step-by-step explanation:

Let the price of one apple be x

and the price of one orange y

Hence ;

One apple and 3 oranges would cost:

x + 3×y = $5.10----------------------------(1)

One apple and 5 oranges would cost;

x + 5×y = $7.50--------------------------(2)

Subtracting eqn (1) from (2), we have :

x-x + 5y -3y = 7.5- 5.1

2y = 2.4

y = $1.2

From eqn(1)

x + 3y = $5.10

x= $5.10-3($1.2) = $5.10-$3.6 = $1.5

Hence x=$1.5 and y= $1.2

We are required to find the cost of one apple and one orange, hence :

x+y = $1.5+$1.2= $2.7

4 0
3 years ago
A teenager’s heart pumps an average of 7200 L of blood every 24 hours. What is the rate of change of volume of blood?
love history [14]

Answer:

300L per hour

Step-by-step explanation:

The rate of change of volume of blood pumped by the teenager's heart expresses the volume of blood pumped with respect to hour.

Rate of change of volume of blood = \frac{volume of blood}{time}

                           = \frac{7200L}{24}

                           = 300L/hour

The rate of change of volume of blood by the teenager's heart is 300 litres per hour. This implies that his/ her heart pumps 300 litres of blood every hour.

7 0
3 years ago
Which statement is true?
Veronika [31]

Answer:

B. Only 140 is an outlier

Step-by-step explanation:

To properly identify an outlier, you must first know what it is. An outlier is a number that is either a lot higher or a lot lower than the average in a set of numbers. For example, if you had a number set of 1, 3, 4, 6, and 72, you can deduce that 72 is the outlier because it's very far away compared to the other numbers in the set.

In the set that's provided, the numbers tend to range in the double digits, going up in small increments from 15 to 89. However, we can see that 140 is a lot higher than the rest of the numbers in the set, so we can assume that 140 is an outlier.

7 0
3 years ago
Read 2 more answers
You are challenged to a lucky draw game. If you draw a face card (K, Q, J) from a standard deck of cards, you earn 10 points. If
Aleksandr [31]

The Expected value of a draw from the given question is; A; 0.77

We are told the face cards are K, Q, J. This means that there are 3 face cards for each of the 4 suits.

Since you earn 10 points for each face card, it means that;

total possible gain = 10 × 3 × 4 = 120

In a deck of cards, there are a total of 52 cards.

This means that;

Number of cards that are not K, Q or J = 52 - (4 × 3) = 40

Since 2 points are lost for drawing any of this 40 cards, then;

Total possible loss = 40 × 2 = 80

Expected gain = 120 - 80

Expected gain = 40

Expected value of a draw = 40/52

Expected value of a draw = 0.77

Read more about expected value at; brainly.com/question/1450915

4 0
2 years ago
Triangle TRE has vertices T(3,6), R(-3,10), and E(-9,4). Find the coordinates of point M if line TM is a median of triangle TRE
Sergeeva-Olga [200]

Answer:

The coordinate of point M = (-6,7)

Explanation:

The Median of a triangle is a line segment from a vertex to the midpoint of the opposite side of a triangle.

Given: \triangle TRE has vertices T(3,6) , R(-3,10) and E(-9,4).

Here, line TM is a median of triangle TRE where M is the midpoint of RE.

The midpoint of  M of the line segment from R(-3,10)  to E(-9,4) is;

M = (\frac{-3+(-9)}{2}, \frac{10+4}{2}) = ( \frac{-12}{2}, \frac{14}{2} )=(-6,7)

Therefore, the coordinate of point M is, (-6,7).

7 0
3 years ago
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