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yaroslaw [1]
3 years ago
10

Vivian bought 6 bottles of cooking oil. She gave the cashier $40 and expected $y change. (a) express the cost of 1 bottle of coo

king oil in terms of y. (b) if y=10, find the cost of 1 bottle of cooking oil. (c) if y=1, find the cost of 1 bottle of cooking oil.
Mathematics
2 answers:
MariettaO [177]3 years ago
8 0
Prize of 6 botl= 40-y
prize of 1 botl will 40-y/6
if y=10
then prize of 1 bottle is 5
OleMash [197]3 years ago
4 0

Answer:

Part (a) The required equation is y=40-6x.

Part (b) If y=10, the cost of 1 bottle of cooking oil is $5.

Part (c) If y=1, the cost of 1 bottle of cooking oil is $6.5.

Step-by-step explanation:

Consider the provided information.

Let the cost of each bottle of cooking oil is $x.

Vivian bought 6 bottles of cooking oil.

Thus the cost of 6 bottles of cooking oil is 6x.

She gave the cashier $40 and expected $y change.

This can be written as:

y+6x=40

Part (a) express the cost of 1 bottle of cooking oil in terms of y.

y+6x=40

Subtract both sides by 6x.

y=40-6x

The required equation is y=40-6x.

Part (b) if y=10, find the cost of 1 bottle of cooking oil.

Substitute the respective values in the above equation.

10=40-6x

-30=-6x

x=5

If y=10, the cost of 1 bottle of cooking oil is $5.

Part (c) if y=1, find the cost of 1 bottle of cooking oil.

Substitute the respective values in the above equation.

1=40-6x

-39=-6x

x=6.5

If y=1, the cost of 1 bottle of cooking oil is $6.5.

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7 0
3 years ago
This winter in Alaska it snowed 39 inches in 61/2 days what is the rate in inches of snow per day
Maru [420]

Answer:

6 inches of snow per day.

Step-by-step explanation:

6 1/2 days = 6.5 days

39/6.5=6

So your answer is 6 inches of snow per day.

8 0
3 years ago
What is the length of the missing leg
Shtirlitz [24]

Answer:

12

Step-by-step explanation:

Using the pythagorean theorem, we know that a^2+ b^2=c^2

In our case, we know b, which is 5 and c which is 13.

If we plug that into the equation, we get a^2+ 5^2 = 13^2

Next, we simplify the equation. a^2 + 25 = 169

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7 0
3 years ago
Read 2 more answers
PLEASE HELP
Lina20 [59]

Answer:

x= 2.8

or

x=-4.3

I chose the quadratic formula because I could not factor the quadratic.

Step-by-step explanation:

First of all let's work out what k(2) equals to. We can do this by replacing every x term in k(x) with a 2.

So: k(2) = 2(2) + 12 = 4 + 12 = 16

Now let's set up our equation g(x) = 2 * k(2). Replace the functions with what we know they equal to.

2x^2+3x+8=2*16=32

Now bring all the terms to one side:

2x^2+3x-24=0

Now we can solve this quadratic for x.

I'll put this into the quadratic formula because it cannot be factored.

x=\frac{-b\frac{+}{-} \sqrt{b^2-4ac} }{2a}, Compare our quadratic to the general equation of a quadratic: ax^2+bx+c=0.

a=2,b=3, c=-24

Now put these terms into the quadratic formula to get the values for x.

x=\frac{-3\frac{+}{-} \sqrt{(3)^2-4(2)(-24)} }{2(2)}

So: x=\frac{-3+\sqrt{201} }{4}=2.8 (1 decimal place)

or

x=\frac{-3-\sqrt{201} }{4}= -4.3 (1 decimal place)

4 0
3 years ago
Please help find the value of x please:)
ryzh [129]

Answer: 100

Step-by-step explanation:

An isosceles right triangle therefore has angles of 45 degrees, 45 degrees, and 90 degrees. For an isosceles right triangle with side lengths a, the hypotenuse has length \sqrt(2)a.

Therefore x=100\sqrt{2} /\sqrt{2}=100

5 0
3 years ago
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