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victus00 [196]
3 years ago
6

Find two consecutive odd integers whose sum is 111

Mathematics
2 answers:
notka56 [123]3 years ago
8 0
The two odd numbers who’s sum is 111 are 53.5 and 57.5.
VARVARA [1.3K]3 years ago
7 0

Answer:

54.5 and 56.5

Step-by-step explanation:

To solve this, we need to know the meaning of the term 'consecutive odd integers'

Consecutive odd integers are odd odd integers which follow each other in the pattern such as; 1, 3, 5, 7,9,11,13,15------etc

This implies they take the form n, n+2, n+4, n+6, n+8, n+10--------etc where n is an odd number.

Haven gotten the above definition, we will now proceed to solve the question.

we are ask to find the two consecutive odd numbers whose sum is 111

let the two numbers be n and n+2

n + n+2 =111

2n + 2 = 111

subtract 2 from both-side of the equation

2n + 2 - 2 = 111 -2

2n = 109

Divide both-side of the equation by 2

\frac{2n}{2}   =  \frac{109}{2}

(at the left-hand side of the equation 2 will cancel-out 2, leaving us with just n and on the right-hand side of the equation 109 will be divided by 2)

n = 54.5

The first number is n=54.5

The second number is n+2 = 54.5 + 2 =56.5

Therefore, the two consecutive numbers whose sum is 111 is 54.5 and 56.5

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What do they represent?
andrey2020 [161]

Answer:

A

Step-by-step explanation:

If you convert the first equation to y=mx+b form, it will be the same as the second equation.

6x - 15y = 15

-15y = -6x + 15

y = \frac{2}{5}x -1

Because the 2 equations are the same now, they are the same line.

8 0
3 years ago
An 18% discount on a watch saved a shopper $72. Find the price of the watch before the discount
Mamont248 [21]
1% = $4

$4 × 100 = $400

$4 × 18 = $72

Your answer is $400
5 0
3 years ago
Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. The mean time is 1
Dahasolnce [82]

Answer:

<h3>Option c) H_a:\mu is correct</h3><h3>The alternate hypothesis for the significance test is H_a:\mu</h3>

Step-by-step explanation:

The alternate hypothesis use the sumbol for the population value

Let p be the proportion , Mean be \mu and stadard deviation be \sigma

The null hypothesis states that population value is equal to the value mentioned in the given claim.

H_0:\mu=18 (by given).

The alternate hypothesis for the significance test states that the opposite of the null hypothesis(based on the claim )

∴ H_a:\mu

The symbol "<" because we want to test if the maze is completed faster and thus if the time has decreased.

<h3>∴ option c) H_a:\mu is correct.</h3>
3 0
3 years ago
Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find
densk [106]

Answer:

x=4

Step-by-step explanation:

<u>Step 1</u>:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

AC^2 = AB^2 + BC^2

<u>step 2:-</u>

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

(a + b)^2 = a^2 +2ab+b^2

289 = 4x^2 +9(x^2+2x+1)

13x^2 +18x-280 = 0

finding factors  70 X 52 = 3640

13x^2 +70x-52x-280 = 0

13x^2 -52x+ 70x-280 = 0

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and 13x =-70

x=4 and x=\frac{-70}{13}

we can not choose negative value so x value is 4

Final answer:- x = 4

<u>verification:-</u>

<u></u>AC^2 = AB^2 + BC^2<u></u>

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0
3 years ago
Read 2 more answers
3. Juliet rides her bike. During her ride, elevation
STatiana [176]

Answer:

56.4 miles

Step-by-step explanation:

4228/75 = 56.37333333

8 0
3 years ago
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