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storchak [24]
2 years ago
12

Find three consecutive odd integers whose sum is 489

Mathematics
2 answers:
mote1985 [20]2 years ago
7 0

Answer:

161, 163, 165

Step-by-step explanation:

x + x+2 + x +4 =489.

This is how we calculate three consecutive odd integers!

Combine like terms:

3x+6=489

3x=483

x=161

Three numbers are:

161, 161+2, 161+4.

161, 163, 165

miss Akunina [59]2 years ago
4 0

Answer:

162, 163, and 164.

Step-by-step explanation:

Here we will use algebra to find three consecutive integers whose sum is 489. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 489. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 489

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 489

3X + 3 = 489

3X + 3 - 3 = 489 - 3

3X = 486

3X/3 = 486/3

X = 162

Which means that the first number is 162, the second number is 162 + 1 and the third number is 162 + 2. Therefore, three consecutive integers that add up to 489 are 162, 163, and 164.

162 + 163 + 164 = 489

We know our answer is correct because 162 + 163 + 164 equals 489 as displayed above.

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Daniel had a 22-foot-long rope that he cut into eight equal pieces. Which equation can be used to determine the length, r, of ea
ivann1987 [24]

Answer:

Option C.

Step-by-step explanation:

Let

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we know that

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so

8r=22 -----> equation that represent the situation

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8 0
3 years ago
What is an equation of the line that passes through the points (3,4) and (−4,−3)? Put your answer in fully reduced form
sasho [114]

Answer:

The equation of the line is y = x + 1

Step-by-step explanation:

The equation of the line is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept

The rule of the slope of the line is m = \frac{y2-y1}{x2-x1} , where

  • (x1, y1) and (x2, y2) are two points on the line

∵ The line passes through points (3, 4) and (-4, -3)

∴ x1 = 3 and y1 = 4

∴ x2 = -4 and y = -3

→ Substitute them in the rule of the slope above to find it

∵ m = \frac{-3-4}{-4-3} = \frac{-7}{-7} = 1

∴ m = 1

→ Substitute it in the form of the equation above

∴ y = 1(x) + b

∴ y = x + b

→ To find b substitute x by 3 and y by 4 in the equation

∵ 4 = 3 + b

→ Subtract 3 from both sides

∵ 4 - 3 = 3 - 3 + b

∴ 1 = b

→ Substitute it in the equation

∴ y = x + 1

∴ The equation of the line is y = x + 1

3 0
2 years ago
. The 6 fourth-grade classes at
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Answer:

Each class donated $300

Step-by-step explanation:

1,792 has to be rounded to 1,800, because the answer is estimated, so 1,800 divided by 6 is 300

This might be wrong, but if not yw lol

8 0
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A veterinarian knows that the supplement glucosamine is beneficial for dogs’ joints. He wants to determine if a supplement with
Alborosie

Answer:

Colour of coat

Step-by-step explanation:

We are told that the veterinarian wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health.

In randomized block design, blocking is the arrangement of experimental units in groups known as blocks which are similar to one another.

Looking at the options given, by blocking on size, age or dog breed, the source of variability which led to the inconclusiveness initially would be controlled which then leads to a greater accuracy in result. Since there can be big, medium and small size of dog: there can be older or younger dogs: there can be different type of dog breeds as well. All these can likely affect the results of the experiment.

Whereas, blocking on colour of coat is not an appropriate variable because it has no effect on the experiment.

4 0
2 years ago
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