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Masja [62]
3 years ago
8

The total price of four oranges and five pears is $32 while the total price of three oranges and two pears is $17. How much is a

pear?
Mathematics
2 answers:
Ket [755]3 years ago
8 0

Answer:

A pear is 3.4

Step-by-step explanation:

sweet-ann [11.9K]3 years ago
7 0

Answer: A pear cost $4.

Step-by-step explanation:

If the total price of four oranges and five pears is $32 then we could represent it by the equation  4x + 5y = 32   where x is cost of one orange and y is the cost of one pear.

The same way we could represent the second statement by the equation

3x + 2y = 17      

We know have the two systems of equations:

4x + 5y = 32

3x + 2y = 17         Solve using the elimination method

  Multiply the top equation by -3 and the down equation by 4 to eliminate x.

-3(4x + 5y) = -3(32) =  -12x - 15y = -96

 4(3x +2y) = 4(17)  =   12x + 8y = 68    

We now have the two new equations:

-12x -15y = -96      Add both equations

12x + 8y = 68            

      - 7y = -28

     y= 4    

Which means the cost of one pear is $4.

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For each line, determine whether the slope is positive, negative, zero, or undefined.
strojnjashka [21]

Answer:

1. Undefined

2. Negative

3. Zero

4. Positive

Step-by-step explanation:

1. Undefined, the line moves in both directions vertically. It's impossible to tell what the slope is.

2. Negative, the line is decreasing at a constant rate, the slope is negative.

3. Zero, the line doesn't increase or decrease, therefore the slope is 0. (No changes)

4. Positive, the line is increasing at a large rate, the slope is positive.

5 0
2 years ago
N is an integer, write down the values of n such that -15<3n<6
Ira Lisetskai [31]
-15 < 3n < 6

Divide all sides by 3

-5 < n < 2

Now you need all integers between -5 and 2.

-4, -3, -2, -1, 0, 1
3 0
3 years ago
Which type of interest rate is not adjusted for different factors, including inflation?
Murrr4er [49]

Answer:

C: Nominial interest rate

Step-by-step explanation:

C

8 0
2 years ago
Can someone help me with this Im not sure if My answer is correct
sergeinik [125]

Answer:

y = 2x - 3

Yes, your answer is correct.

Step-by-step explanation:

First, find the slope of the two points by using the slope formula:

        y2 - y1

m = -------------

        x2 - x1

         13 - 5

m = -------------

          8 - 4

         8

m = ------- = 2

         4

To find the y-intercept, plug in values into the slope-intercept formula:

y = mx + b

Where m = slope and b= y-intercept. Use any one of the points. I'll be using (4,5):

5 = (2) (4) + b

5 = 8 + b

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4 0
3 years ago
If a diameter intersects a chord of a circle at a right angle, what conclusion can be made?
drek231 [11]

Answer:

The chord is bisected.

Step-by-step explanation:

see the attached figure to better understand the problem

In the circle of the figure

The diameter is the segment DE

The chord is the segment AB

PA=PB=r ----> radius of the circle

Triangles PAC and PBC  are congruent right triangles by SSS

Because

PA=PB

PC is a common side

AC=BC ----> Applying Pythagoras Theorem

therefore

The chord AB is bisected

6 0
3 years ago
Read 2 more answers
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