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Lena [83]
2 years ago
12

Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one dealer she would pay $2,350 down a

nd $200 each month. At another dealer, she would pay $2,750 down and $175 each month. After how many months would the total amount paid be the same for both dealers? What would that amount be?
After
_____months Kenya will have paid $_____
for the bike at either dealer.
Mathematics
1 answer:
vovangra [49]2 years ago
8 0

Answer:

After 16 months, Kenya will have paid $5,550

Step-by-step explanation:

This is a guess and check type of a problem.  You guess a number of months, plug it into x, and see if both equations come out with the same answer.

 If you plug 16 into the first dealer's equation, you get y= 200(16) + 2350.  Solving this equation will mean y equals 5550.

If you plug 16 into the second dealer's equation, you get y= 175(16) + 2750.

Solving this equation will mean y also equals 5550.

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Answer:

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7 0
2 years ago
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Solve these two equations using the Addition Method (also known as the elimination method).
Brums [2.3K]

Answer:

(-2, 3)

Step-by-step explanation:

5/2(3/4x + 1/3y = -1/2)

1/2x - 5/6y = -7/2

15/8x + 5/6y = -5/4

19/8x = -19/4

x = -2

1/2(-2) - 5/6y = -7/2

-1 -5/6y = -7/2

-5/6y = -5/2

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4 0
3 years ago
1) After a dilation, (-60, 15) is the image of (-12, 3). What are the coordinates of the image of (-2,-7) after the same dilatio
BARSIC [14]

Answer:

a) k = 5; (-10, -35)

Step-by-step explanation:

Given:

Co-ordinates:

Pre-Image = (-12,3)

After dilation

Image = (-60,15)

The dilation about the origin can be given as :

Pre-Image(x,y)\rightarrow Image(kx,ky)

where k represents the scalar factor.

We can find value of k for the given co-ordinates by finding the ratio of x or y co-ordinates of the image and pre-image.

k=\frac{Image}{Pre-Image}

For the given co-ordinates.

Pre-Image = (-12,3)

Image = (-60,15)

The value of k=\frac{-60}{-12}=5

or k=\frac{15}{3}=5

As we get k=5 for both ratios i.e of x and  y co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.

To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.

Pre-Image(-2,-7)\rightarrow Image((-2\times5),(-7\times 5))

Pre-Image(-2,-7)\rightarrow Image(-10,-35) (Answer)

7 0
2 years ago
Plz solve the 7th question immediately ....Help me......
Lynna [10]

Answer:

The value of x is 8cm. The length of 3 sides are 8cm, 15cm and 17cm.

Step-by-step explanation:

Using Pythagoras' Theorem, a²+b² = c² :

Let a be x cm,

Let b be x+7 cm,

Let c be 2x+1 cm

x² + (x+7)² = (2x+1)²

x² + x² + 14x + 49 = 4x² + 4x + 1

2x² + 14x + 49 = 4x² + 4x + 1

Then, move all the variables to one side and solve it to find the value of x :

4x² + 4x + 1 - 2x² - 14x - 49 = 0

2x² - 10x - 48 = 0

2(x² - 5x - 24) = 0

x² - 5x - 24 = 0

(x-8)(x+3) = 0

x - 8 = 0

x = 8 cm

x + 3 = 0

x = -3 cm (rejected)

Substitute the x value into the length of a,b and c :

a = x

= 8 cm

b = x + 7

= 8 + 7

= 15 cm

c = 2x + 1

= 2(8) + 1

= 16 + 1

= 17 cm

3 0
3 years ago
There were 5 winners in a lottery drawing. The prize was $12 million. What is each winner's share of the prize?
uysha [10]
Easy, do 12 divided by 5 = 12/5

=
2.4
8 0
2 years ago
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