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3 years ago

Find four consecutive odd integers with a sum of 200

Mathematics

1 answer:

djyliett [7]3 years ago

7 0

Answer:

47, 49, 51, 53

Step-by-step explanation:

I don't know how your teacher wants you to do it, but the formula for odd integers in this case would be (n+1) + (n+3) + (n+5) + (n+7) = 200.

The four odd integers are represented by each set of parentheses. If we find n, we can add 1, 3, 5, and 7 to it to get the four numbers you're looking for.

If we subtract all of the constants from the left side and add all every n, we get 4n = 184. We then divide both sides by 4, and the answer is n = 46.

(n+1) = 47, (n+3) = 49, etc.

Hope this helps!

-Lacy

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Rewrite 56+32 as the product of the GCF and a sum.

Vitek1552 [10]

56 = 2 x 2 x 2 x 732 = 2 x 2 x 2 x 2 x 2
GCF = 2 x 2 x 2 =8
Rewrite 56+32 as the product of the GCF and a sum:
56 + 32 = 8 (7+4)

8 0

3 years ago

Find the value of y in the given triangle

Andre45 [30]

Given:

In the given triangle,

With respect to y, Perpendicular = 10 cm and Base = 8 cm

To find the value of y.

Formula

By Trigonometric Ratio we get,

$tan\theta = \frac{Perpendicular}{Base}$

Now,

Putting the values of perpendicular and base we get,

$tan\theta = \frac{10}{8}$

or, $\theta = tan^{-1} (\frac{10}{8})$

or, $\theta = 51.34 ^\circ$

Rounding off to the nearest tenth, we have;

$\theta = 51.3 ^\circ$

Hence,

The value of y is 51.3°.

7 0

3 years ago

Hi everyone I was wondering if someone could please help me out with this problem and explain it to me

PSYCHO15rus [73]

Join the centre O to the chord (let it be MN) & let OH be the perpendicular to the chord

OH bisects MN into 2 equal parts (each one is x/2)
OMH is a right triangle with one side =8, the second leg =x/2 & the hypotenuse = 12 (Radius)
Apply Pythagoras:

12² = 8² +(x/2)² ==>144=64 + x²/4 ==> x²=4(144-64) =320

x²=320==> x=√320 =17.88 ≈17.9

3 0

4 years ago

Richard filled 3-gallon jug with fruit punch.

Alecsey [184]

Answer:

About 11.4

Step-by-step explanation:

There are 3.78541178 liters in a gallon.

Round that up to the nearest 100 and you get 3.8

Multiply 3.8 by 3.

You get 11.4

7 0

3 years ago

(a) A tram moved downward 72 meters in 8 seconds at a constant rate. What was the change in

Alex787 [66]

Answer:

a) 9 meters.

b) The total change in temperature was of 288ºC

Step-by-step explanation:

Both these questions can be solved using rules of three.

a) 72 meters in 8 seconds. How many meters it changes each second(in 1 second)?

8s - 72m

1s - x m

$8x = 72$

$x = \frac{72}{8}$

$x = 9$

9 meters.

b) In 1 hour, heated by 6ºC. How much in total during 48 hours?

1h - 6ºC

48h - xºC

x = 48*6

The total change in temperature was of 288ºC

3 0

3 years ago