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3 years ago

Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces

Mathematics

1 answer:

Leya [2.2K]3 years ago

5 0

Answer:

$0.90

Step-by-step explanation:

$\frac{4}{10}=0.4$

3 dozen = 36

$\frac{36}{0.4} =\frac{y}{0.1}$

0.4 × y = 36 × 0.1

0.4y = 3.6

0.4y ÷ 0.4 = 3.6 ÷ 0.4

y = 9

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What is the oblique asymptote of the function f(x) = the quantity x squared minus 5x plus 6 over the quantity x minus 4?

Paraphin [41]

Answer:

x - 1

Step-by-step explanation:

We know that, a slant or oblique asymptote of a rational function is the asymptote that helps in determining the direction of the function.

It occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.

Now, we divide the numerator by denominator using long division method and the first two terms in the quotient ( forming a linear function ) is the equation of the oblique asymptote.

We are given the rational function, $f(x) = \frac{x^{2}-5x+6}{x-4}$ .

After dividing we get that, the quotient is x - 1.

Hence, the equation of the oblique asymptote is x-1.

4 0

3 years ago

3. Two balls are drawn in succession without replacement from an urn containing 4 red balls and 3 blue balls. Find the probabili

choli [55]

Answer:

X ____ 0 ______ 1 _______ 2

P(x) __ 1/7 _____ 4/7 _____ 2/7

Step-by-step explanation:

Given that :

Number of red balls = 4

Number of Blue balls = 3

Total number of balls = (4 + 3) = 7

Picking without replacement :

Number of picks = 2

1st pick is red :

Probability = (required outcome / Total possible outcomes)

USing combination formula :

nCr = n! / (n-r)! r!

Total possible outcome :

7C2 = 7! / 5!2! = 7*6 / 2 = 42 / 2 = 21

X = number of red

For red = 0;

P(x =0) = required outcome / Total possible outcomes

P(x = 0)

Required outcome : [4C0 * 3C2)]

P(x = 0) = [(4C0 * 3C2)] / 21 = (1*3)/21 = 3/21 = 1/7

P(x = 1)

Required outcome : [4C1 * 3C1)]

P(x = 1) = [(4C1 * 3C1)] / 21 = (4*3)/21 = 12/21 = 4/7

P(x = 2)

Required outcome : [4C2 * 3C0)]

P(x = 2) = [(4C2 * 3C0)] / 21 = (6*1)/21 = 6/21 = 2/7

Hence ;

X ____ 0 ______ 1 _______ 2

P(x) __ 1/7 _____ 4/7 _____ 2/7

8 0

3 years ago

1.73639 rounded to the nearest thousanth

Maurinko [17]

^ is in the thousadths place so look for the number before it, which is 3. 3 is less than 5 so 6 stays as is so it becomes 1.736

8 0

3 years ago

44 +9X3- 35 x 60-20

Roman55 [17]

Answer: -2049. Explanation: Use PEMDAS to solve the equation (parenthesis, exponents, multiplication/division, and addition/subtraction). First multiply the numbers that are being multiplied. You should get 44 + 27 - 2100 - 20. Now start from the beginning, and either add or subtract. The answer is -2049.

7 0

3 years ago

Read 2 more answers

please help, I do not know how to do this at all! A restaurant has a large goldfish pond. Suppose that an inlet pipe and a hose

Ne4ueva [31]

Answer:

H = 20.5 hours

I = 19.5 Hours

Step-by-step explanation:

Start by creating a system.

I = time which the inlet pipe takes alone to fill the pond

H = time which the hose takes alone to fill the pond

10/I + 10/H = 10

H - I = 1

H = 20.5 hours

I = 19.5 Hours

8 0

3 years ago

Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces ​

Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces