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Marina86 [1]
2 years ago
13

One-quarter of the sum of 2 consecutive odd numbers is 14. Find the numbers.​

Mathematics
1 answer:
aalyn [17]2 years ago
6 0

Answer:

27 and 29

Step-by-step explanation:

let A and B the expected numbers

assuming B = A + 2, the problem can be written as follows

¼(A + A + 2) = 14

4*¼(A + A + 2) = 4*14

(A + A + 2) = 56

2A + 2 = 56

A + 1 = 28

A = 27

B = 27 + 2 = 29

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The answers to the question are are the equations

y = 0.08x²-1.6x+13

y = 0.08(x-10)²+5

<h3>How to solve for the system of equations</h3>

David starts at (20, 13) and skates along a path that can be modeled by a quadratic function with a vertex at (10, 5).

Vertex form of quadratic function is

y = a(x-h)^2+k

13 = a(x-10)²+5

let x = 20

a(20-10)²+5

13 = 100a + 5

take like terms

13 - 5 = 100a

8 = 100a

divide through by 100

a = 0.08

hence the equation would be

y = 0.08(x-10)²+5

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5 0
1 year ago
Help me please it’s really hard for me
Marysya12 [62]

Answer:

B1= -7

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Step-by-step explanation:

3 0
3 years ago
A rectangular prism has a volume of 378 cubic inches the area of the base is 42 square inches what is the height
barxatty [35]

Answer:

9 inches.

Step-by-step explanation:

The formula for the volume of a rectangular prism is base x height.  So if the volume is 378, and the base is 42, you would use the equation 378/42 to find the height. 378/42 is 9.  Therefore, the height is 9 inches.

7 0
3 years ago
effie ate 4 peaches. this represents 50% of the bag of peaches. how many peaches were originally in the bag?
Marat540 [252]

8 peaches. 8 peaches because if effie ate 4 peaches, or half of the bag, you would have to multiply 4 by 2 to get the answer of 8 peaches. mark brainliest please!

4 0
3 years ago
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Suppose Riley is interested in the cost of a gallon of gas in her state. She finds the cost of a gallon of regular gas at 61 ran
hichkok12 [17]

Answer:

The standard deviation of the sample is 0.0064.

Step-by-step explanation:

The standard deviation of a sample of length n of a population with standard deviation \sigma is given by the following formula:

s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

61 randomly selected gas stations. This means that n = 61

The standard error of the mean is $0.05. This means that \sigma = 0.05.

What is the standard deviation of the sample?

s = \frac{\sigma}{\sqrt{n}} = \frac{0.05}{\sqrt{61}} = 0.0064

The standard deviation of the sample is 0.0064.

5 0
3 years ago
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