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3 years ago

Problem The sum of 3 consecutive odd numbers is 51. What is the second number in this sequence?

Mathematics

2 answers:

Inga [223]3 years ago

8 0

51 / 3 = 17

the middle number is 17

15 + 17 + 19 = 51

sdas [7]3 years ago

6 0

Answer: 42

Step-by-step explanation:

Call the first number in the sequence xx.

Hint #22 / 8

The next even number in the sequence is x + 2x+2

Hint #33 / 8

The sum of the 66 consecutive even numbers is:

x+ (x + 2)+ (x + 4)+ (x + 6)+ (x + 8)+ (x + 10) = 270x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)=270

Hint #44 / 8

6x + 30= 2706x+30=270

Hint #55 / 8

6x = 2406x=240

Hint #66 / 8

x = 40x=40

Hint #77 / 8

Since xx is the first number, x + 2x+2 is the second even number.

Hint #88 / 8

Thus, the second number in the sequence is 4242.

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Xy - 11 = 5 show the direct variation expalin your reasoning

Vedmedyk [2.9K]

Hey there, Lets solve this one by one

Firstly, add 11 to both sides

 $xy=5+11$

Now, Simplify 5+11 to 16

 $xy=16$

Finally, divide both sides by variable y

 $x = 16 /y$

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4 years ago

Duncan takes a break from studying and goes to the gym to swim laps. If swimming burns 9.05×105 cal per hour, how many kilojoule

fgiga [73]

For this case we have to by definition:

1 kilojoule equals 0.239006 kilocalorie.

1 kilocalorie equals 1000 calories

Then, if we have: $9.05 * 10 ^ 5 \frac {calories} {hour} *\frac {1} {1000} \frac {kilocaloria} {calorie} = 9.05 * 10 ^ 2 \frac {kilocaloria} {hour}$

Now:

$9.05 * 10 ^ 2 \frac {kilocaloria} {hour} * \frac {1} {0.239006} \frac {kilojoule} {kilocaloria} = 3786.52 \frac {kilojoule} {hour}$

Answer:

$3786.52 \frac {kilojoule} {hour}$

3 0

3 years ago

Propane is stored in a cylindrical tank with a diameter of 15 inches and a height of 48 inches. Which equation could be used to

Virty [35]

Step-by-step explanation:

remember. the radius is always half the diameter.

volume of a cylinder

pi × r² × height

pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³

volume of a sphere

4/3 × pi × r³

and that volume should be the same as the cylinder. so,

4/3 × pi × r³ = pi×56.25×48

4/3 × r³ = 56.25 × 48

1/3 × r³ = 56.25 × 12

r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025

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which would be 12.65148998... in.

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2 years ago

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horsena [70]

The answer should be = 226

7 0

4 years ago

I forgot to do slopes

Minchanka [31]

To find the slope of the line, use the rise over run formula:

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Take any two points from the line and plug them into the formula.

(0,0) and (10, 5)

$\frac{5 - 0}{10 - 0} = \frac{5}{10} = 0.5$

The slope of the line is 0.5.

Using the form y = mx, the following equation will be your answer:

$y = 0.5x$

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3 years ago