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Debora [2.8K]
3 years ago
8

The sum of two consecutive integers is at most 45. What is the larger integer?

Mathematics
1 answer:
alina1380 [7]3 years ago
4 0
22 + 23 = 45
Largest would be 23
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(look at image) can i get help with these two?
serg [7]

Answer:

1. x = 2, AC = 30, AB - 4

2. y = 4, AB = 34, BC = 34

Step-by-step explanation:

1. AB + BC = AC so 26 + (10 - 3x) = 14x +2 and then add 3x to both sides and subtract 2 from both sides to get x on one side and an integer on the other side which is 34 = 17x and then divide 17 from both sides to get x = 2 and then substitute x into the AC and AB equations to find the values its equal to.

2. The symbol in the given means that the two lengths are congruent which means they are equal to each other so you put the two equations equal to each other and solve for y. 9y -2 = 14 + 5y, so subtract 5y from both sides and add two to both sides to get 4y = 16 and then divide both sides by 4 to get y = 4 and then substitute in the answer to find the lengths of AB and BC.

6 0
3 years ago
Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)
nasty-shy [4]

The value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have equation:

4(x + 5) = 9x + 4x − 34  (Given)

4x +20 = 9x + 4x − 34    (Distributive Property)

4x +20 +34 -4x = 9x + 4x − 34 + 34 -4x   (Subtraction Property of Equality)

54 = 9x + 4x − 34 + 34 -4x  (Addition Property of Equality)

54 = 9x  (Combine Like Terms)

x = 54/9   (Division Property of Equality)

x = 6

Thus, the value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

3 0
2 years ago
Which is the sum of -4 and its additive inverse?
Aneli [31]

Answer:

-4 +4 =0

Step-by-step explanation:

The sum of a number and its' additive inverse is 0

The additive inverse of -4 is 4

-4 +4 =0

3 0
3 years ago
Read 2 more answers
Ethan’s favorite kind of exercise is running. He runs on a path that is 1.75 miles long. Last week, Ethan ran on the path 6 time
Basile [38]

Answer:

10.5 miles

Step-by-step explanation:

You multiply the distance with the number of times he ran.

7 0
3 years ago
Pls help me this is 7th grade (ADVANCED)
aleksandrvk [35]

Answer:

it  (6,18,23)

Step-by-step explanation:

3 0
3 years ago
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