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laila [671]
3 years ago
10

What is the largest of 3 consecutive integers such that the sum of the first and third is equal to three times the second.

Mathematics
1 answer:
Norma-Jean [14]3 years ago
4 0

Answer:

1

Step-by-step explanation:

What is the largest of 3 consecutive integers such that the sum of the first and third is equal to three times the second?

3 consecutive angles

= x, x + 1, x + 2

We are told in the question that:

the sum of the first and third is equal to three times the second

a + c = 3b

x + x + 2 = 3(x + 1)

2x + 2 = 3x + 3

3x - 2x = 2 - 3

x = -1

The largest of the three numbers is the third number

= x + 2

x = -1

x + 2 = -1 + 2

The third and largest number is 1

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if a truck starts from rest and its has acceleration of 4m/s 2. for second ,calculate its final velocity .what will be the dista
Lunna [17]

Answer:

The answer is given below

Step-by-step explanation:

Let us assume the truck accelerates for 4 seconds.

Given that:

Initial velocity (u) = 0 (starts from rest),

acceleration (a) = 4 m/s²

time (t) = 4 s

Final velocity (v) = ?,

Distance (s) = ?

To calculate the final velocity, we use the formula:

v = u + at

Substituting values gives:

v = 0 + 4(4)

v = 0 + 16

v = 16 m/s

The final velocity is 16 m/s²

To calculate the distance traveled by the truck, we use the equation:

s=ut+\frac{1}{2}at^2\\ Substituting\ values\ into\ the\ equation:\\s=0(4)+\frac{1}{2}(4)(4)^2\\s=0+2(16)\\s=0+32\\s = 32\ meters

The distance traveled by the truck during the time interval is 32 meters

6 0
4 years ago
Juicers Inc. is thinking of acquiring Fast Fruit Company. Juicers expects Fast Fruit's NOPAT to be $9 million the first year, wi
Ivenika [448]
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3 0
3 years ago
Look at the image below
Blizzard [7]

Answer:

(A) 33.9 (B) 22.6

Step-by-step explanation:

We first need to round to the nearest dollar for both prices. Lets examine both numbers.

$30.<u>1</u>2       $19.<u>9</u>3

We can round $30.12 to $30 since the number in the tenths place is 1 and we can round $19.93 to $20 since there is a nine in the tenths place.

Now we must find the tax for each number. We can do that by multiplying each number by 0.13 since that is 13% in decimal form. Lets do that now

30*0.13=3.9           20*0.13=2.6

Now we can find the final price for each number by adding the tax to the rounded price.

30+3.9=33.9          20+2.6=22.6

Hence, (A) 33.9, (B) 22.6

5 0
2 years ago
X-(2x+3)<br> how to solve and why you change the sign for the +3?
alekssr [168]

Answer:

-x - 3

Step-by-step explanation:

x-(2x + 3)

=> x-1(2x + 3)

=> x - 2x - 3

=> -x - 3

Therefore, this is the solution. Hoped this helped.

GeniusUser

6 0
3 years ago
Read 2 more answers
Brainliest, 20 points
ohaa [14]

Answer:

B

Step-by-step explanation:

3 x -9 which is -27. Then you have to add the exponents, so it will be x^4+2 = x^6 , y^3+2 = y^5, z^1+2 = z^3. so your answer will be -27 x^6 y^5 z^3

5 0
3 years ago
Read 2 more answers
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