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Ber [7]
2 years ago
8

The eighth-grade class is planning a trip to Washington, D.C. this spring. They need a minimum of

Mathematics
1 answer:
Hoochie [10]2 years ago
3 0

Answer:

There needs to be 174 Students in the 8th grade class.

Step-by-step explanation:

173(1/3) is 58

58+17=75

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The 21st, 37th and 56th term of an A.P. are consecutive terms of a G.P. Find the common ratio of the G.P.​
mash [69]

just use what you know about this stuff

(a+36d)/(a+20d) = (a+55d)/(a+36d)

(a+36d)^2 = (a+55d)(a+20d)

a^2+72ad+1296d^2 = a^2+75ad+1100d^2

3ad = 196d^2

3a = 196d

That is, for any value of n,

a=196n

d=3n

So, there is no unique solution.

If n=1, then a=196 and d=3. The terms are

196+20*3 = 256

196+36*3 = 304

196+55*3 = 361

304/256 = 361/304

You can easily verify that it works for any value of n.

6 0
3 years ago
Read 2 more answers
A store sells three types of note cards. There are three sizes of each type. Show two ways to find the total number of notecards
bonufazy [111]
Answer: There are 9 different types of note cards that the store sells.

We can use the Fundamental Counting Principle to determine the total number of options.

There are two different events in this problem. First, there are 3 kinds of cards. Second, there are 3 sizes for each kind.

Simply, multiply the 3 by the other 3 and you have 9 different options.

Just think, each card would have a small, medium and larger option. So there are 3 groups of 3 or 9 total options.
8 0
3 years ago
0.33333333333333333333333333333333333333333333333 simplified at a fraction
USPshnik [31]

Answer:

\frac{1}{3}

Step-by-step explanation:

Your original number to convert is 0.333333. Let's slide the decimal point in this number to the right 1 place(s) (the same number of digits in the number 3).

If we do this, we'll get a 3.333333 (slide the decimal in the 0.333333 right 1 places, you'll get 3.333333).

So what? Well now, we have two numbers with the same repeating decimal parts, 3.333333 and 0.333333.

Now let's just work a little algebra into all of this. Let's call your original number x. And in this case, x = 0.333333. The number with the decimal point slid over can be called 10x, because 10x = 3.333333

10x = 3.33333

-x = 0.333333\frac{10x = 3.33333  -x = 0.333333}{9x = 3}

---------------------------------------------------------------------------------------------

Now, solving 9x=3 for x by dividing both sides of it by 9, we'll get that x=3/9. And this is your answer.

How is this your answer? Well remember that above, x was originally set equal to 0.333333 via x = 0.333333, and now we have that x is also equal to 3/9, so that means 0.333333 = 3/9..and there's 0.333333 written as a fraction.

-------------------------------------------------------------------------------------------

<u>Simplify 3/9 into the lowest terms:</u>

\frac{1}{3}

4 0
3 years ago
amber has 4 peices of fruit 2 of the peices of fruit are bannanas right 2 fractions that discribe th fraction of fruit that are
Sedbober [7]
Total pieces of fruit = 4
Pieces of bananas = 2

Fraction of bananas = 2/4 = 1/2

Answer: 1/2

8 0
3 years ago
Read 2 more answers
How is trigonometry used to locate the position of a wildfire.
Dahasolnce [82]

Answer:

Sine Function sin Opposite side/ Hypotenuse

Tangent Function tan Opposite side / Adjacent side

Cosine Function cos Adjacent side / Hypotenuse

Cosecant Function cosec Hypotenuse / Opposite side

Step-by-step explanation:

Your welcome

5 0
3 years ago
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