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3 years ago

Rocky thinks of an odd integer adds the next two consecutive integers which of these could be the sum

Mathematics

1 answer:

Citrus2011 [14]3 years ago

5 0

Step-by-step explanation:

First, we have to prove that the sum of 3 consecutive integers is a multiple of 3.

Let x be the smallest of the 3 consecutive integers. We have (x + 1) and (x + 2) as our other consecutive integers.

Notice that x + (x + 1) + (x + 2) = 3x + 3 = 3(x + 1), which is a multiple of 3.

Hence we have proven our point. Back to the question:

The possible sum has to be a multiple of 3. Searching the options, only 44562 is a multiple of 3. (44562 / 3 = 14854) Hence 44562 is the answer. (C)

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Grandpa Mick opened a pint of ice cream. He gave his youngest grandchild 1/5 of the ice cream and his middle grand child 1/4 of

aliya0001 [1]

Answer:

13/60 was left of the ice cream.

Step-by-step explanation:

4/5 was left after the first, which can also be written as 16/20. 16/20 - 1/4 (also written as 5/20), which leaves 11/20 which can also be written as 33/60. 33/60 - 1/3 (also written as 20/60) which leaves 13/60 left.

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3 years ago

Explain why it might be important to be able to work with and manipulate fractions when working in construction.

nirvana33 [79]

Answer:

Addition and Subtraction with different denominators. If the denominators are different then a common denominator needs to be found.

2 pages.

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4 0

2 years ago

Noa was paid a 25 percent commission for selling a used car.

BigorU [14]

25 percent of x is equal to $1631.24
.25*4 is equal to 100 percent
Substitute
1631.24*4=x
x=6524.96

8 0

3 years ago

Sarah bought a lawnmower for $320. She signed up for the buy now pay later plan at the store with the following conditions: $100

kolbaska11 [484]

Answer:

85%

Step-by-step explanation:

8 0

3 years ago

Craig wants to prove that if quadrilateral ABCD has diagnols that biscet each other then it is a parallelogram

Novosadov [1.4K]

Solution :

Consider quadrilateral ABCD is a parallelogram. The parallelogram have diagonals AC and DB.

So in the given quadrilateral ABCD, let the diagonal AC and diagonal DB intersects at a point E.

Thus in the quadrilateral ABCD we see that :

1. AC and DB are the diagonals of quadrilateral ABCD.

2. Angle DCE is congruent to angle BAE and angle CDE is congruent to angle ABE. (they are alternate interior angles)

3. Line DC is congruent to line AB. (opposites sides are congruent in a parallelogram )

4. Angle ABE is congruent to angle CDE. (Angle side angle)

5. Line AE is congruent to line EC. And line DE is congruent to line EB. (CPCTC)

Thus we see that if the diagonals of a $\text{quadrilateral bisects each other}$ , then the quadrilateral is a parallelogram.

7 0

3 years ago