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olasank [31]
2 years ago
11

write an equation that could be used to find two consecutive even integers whose product is 24. Let x represent the first intege

r. Solve the equation and give the two integers.
Mathematics
1 answer:
mariarad [96]2 years ago
8 0
(X)+(X+1)=24

"consecutive" means right after the other, so, if the first one is (X), the second integer <u>must be</u> (X+1). The answer 24 is given so you just have to solve the equation.

2X+1=24
2X=23
X=11.5
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stira [4]

The total weight of the bag that the salesman is carrying for selling a machine including some personal stuff is 13.9 Kg.

<h3>What is a fraction?</h3>

A fraction is a rational number that consists of a numerator and a denominator, used to represent a part of the whole thing.

<h3>Calculation:</h3>

It is given that,

A salesman is carrying a big bag for selling a machine.

Consider the weight of the machine = w

So,

The weight of his machine is three kilograms and half a machine. I.e.,

w = 3kg +w/2

⇒ w/2 = 3kg

∴ w = 6kg

Thus, the weight of the machine is 6 Kg.

So, the weight of the repair tool for the machine = a half kilogram and one-fourth of the machine

⇒ 1/2Kg + 1/4w

⇒ 1/2 + 6/4

⇒ 2 Kg

The personal stuff weighs - four kilograms minus a fourth of the weight of the machine.

⇒ 4Kg - w/4

⇒ 4 - 6/4

⇒ 2.5 Kg

He has some supplies that weigh two-fifth of the machine and personal stuff combined.

⇒ 2/5(w + 2.5)

⇒ 2/5 × 8.5

⇒ 3.4 Kg

Thus, the total weight of the bag = 6 Kg + 2 Kg + 2.5 Kg + 3.4Kg =  13.9Kg.

Therefore, the total weight of the salesman's bag is 13.9 Kg.

Learn more about fractions here:

brainly.com/question/78672

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7 0
1 year ago
Booker owes 85 video games. He has 3 shelves to put the games on. Each shelf can hold 40 games. How many more video games Does h
Illusion [34]
Simple: 3 shelves times 40 games = 120 games, 120-85= 35. So the answer is 35 games.
5 0
3 years ago
Mason plays a game by flipping two fair coins.He wins the game if both coins land facing heads up. If Mason plays 200 times, how
blagie [28]

Answer:

Therefore Mason would be expected to win 50 times.

Step-by-step explanation:

i) probability of flipping a head for a fair coin is \frac{1}{2}

ii) probability of flipping two fair coins is = \frac{1}{2} \times \frac{1}{2}  = \frac{1}{4}

iii) Therefore if Mason plays 200 times he would be expected to win

    = \frac{1}{4} \times 200 =  50\hspace{0.1cm} times.

7 0
3 years ago
Answer please this needs to go to school tomorrow
mote1985 [20]
5 = 29
6 = 34
7 = 39
8 = 44
9 = 49
10 = 54
11 = 59
12 = 64
13 = 69
14 = 74
15 = 79

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3 years ago
How to solve 5x+8y=14 And 4x=24 by substitution
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