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viktelen [127]
3 years ago
7

Find 3 consecutive integers such that the sum of the first and twice the second is 16 more than twice the third

Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Answer: 18, 19, 20

Step-by-step explanation:

3 consecutive integers = x, y and z

1st number is X

2nd number is Y which is X +1

3rd number is Z which is X +2

Write equation

X + 2Y = 16 + 2Z

Replace Y with X + 1 and Z with X + 2

So,

X + 2(X + 1) = 16 + 2(X + 2)

Distribute

X + 2X + 2 = 16 + 2X + 4

Combine like terms

3X + 2 = 2X + 20

Solve for X

3X + 2 - 2 - 2X = 20 + 2X - 2X - 2

X = 18 so, Y is 19 and Z is 20

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Lusia ran 3 2/3 kilometers in 1/3 of an hour. If speed is distance over time, calculate lusia's speed.
Romashka [77]
In the question, they give you the formula for speed...

speed = distance / time

They also give you the distance and the time, so all we have to do is stick them into the equation...

speed =  3 2/3 Km / 1/3 hour
speed = 3 2/3 / 1/3

To divide the fractions, first we need to convert 3 2/3 into an improper fraction

3 2/3 = 11/3

now we multiply 11/3 x the reciprocal of the divisor 1/3.  The reciprocal just means flip the numerator and denominator

speed = 11/3 x 3/1
speed = 33/3
speed = 11 Km/hour
5 0
3 years ago
I need help ASAP!!!!!! I’m on a test!<br> I’ll give Brainliest!
jonny [76]

Answer:

10.6

Step-by-step explanation:

  4 + 6(1.3) - 2.4 * 0.5

= 4 + 6 * 1.3 - 2.4 * 0.5

= 4 + 7.8 - 0.5 * 2.4

= 4 + 7.8 - 1.2

= 10.6

6 0
3 years ago
Please help solve this SAT math problem. I have 4 more like these so need help with this so that I can solve the rest by myself.
stealth61 [152]

The notation just means

(f/g)(-4) = f(-4) / g(-4)

If f(x) = x² + 2 and g(x) = 1 - 3x, then

f(-4) = (-4)² + 2 = 16 + 2 = 18

g(-4) = 1 - 3 (-4) = 1 + 12 = 13

and so

(f/g)(-4) = 18/13

8 0
2 years ago
Write the product in standard form.<br>(2 - 3i)(2 + i)​
Stels [109]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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