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3 years ago

Evaluate the expression. 38+16⋅12÷2−(30⋅2)

Mathematics

1 answer:

SashulF [63]3 years ago

3 0

Hey there! I'm happy to help!

With order of operations, you first evaluate the parentheses.

30×2=60

so...

38+16×12÷2-60

Now we just finish this on our calculator, giving us 74.

Have a wonderful day! :D

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2x2 − 4x = 0 A. 0, -4 B. 0, -2 C. 0, 2 D. 2, 4

leonid [27]

Answer:

Step-by-step explanation:

We see that we can factor out 2x from the equation! So our equation becomes 2x(x-2) = 0.

Since the only way for things to multiply to equal to zero is if at least one of the numbers is 0.

So if x-2 is the 0, then x = 2.

If 2x is the 0, then x = 0.

So our answer is C. 0,2

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3 years ago

-62 + 18y = 264 -12x - 36y = 130 What solution is this

sergeinik [125]

Answer: x = $-\frac{391}{6} =\\-65 \frac{1}{6}\\ -65.166666667\\y=\frac{163}{9}=18\frac{1}{9} \\18.111111111$

Step-by-step explanation: Multiply -36 and 163/9 to get -652. Add 652 to both sides then add 130 and 652 to get 782. Divide both sides by -12 then reduce the fraction 782/-12 to lowest terms by extracting and canceling out 2. The system is now solved.

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2 years ago

Use the picture to create a ratio between the objects.

Julli [10]

Answer:Blue

Step-by-step explanation:

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2 years ago

This problem is taken from the delightful book "Problems for Mathematicians, Young and Old" by Paul R. Halmos. Suppose that 681

aleksley [76]

Answer:

680 games

Step-by-step explanation:

Suppose that 681 tennis players want to play an elimination tournament.

1st round:

One of 681 players, chosen at random, sits out that round and 680 players play. There will be 340 winners plus one player which sits - 341 players for the next round and 340 games

2nd round:

There will be 170 winners plus one player which sits - 171 players for the next round and 170 games

3rd round:

There will be 85 winners plus one player which sits - 86 players for the next round and 85 games

4th round:

There will be 43 winners - 43 players for the next round and 43 games

5th round:

There will be 21 winners plus one player which sits - 22 players for the next round and 21 games

6th round:

There will be 11 winners - 11 players for the next round and 11 games

7th round:

There will be 5 winners plus one player which sits - 6 players for the next round and 5 games

8th round:

There will be 3 winners - 3 players for the next round and 3 games

9th round:

There will be 1 winner plus one player which sits - 2 players for the next round and 1 game

10th round - final:

1 champion and 1 game.

In total,

340 + 170 + 85 + 43 + 21 + 11 + 5 + 3 + 1 + 1 = 680 games

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3 years ago

Find the sumofthe geometrical progression of five terms, of which the first term is 7 and the multiplier is 7.Verify that the su

777dan777 [17]

Answer:

The sum of first five term of GP is 19607.

Step-by-step explanation:

We are given the following in the question:

A geometric progression with 7 as the first term and 7 as the common ration.

$a, ar, ar^2,...\\a = 7\\r = 7$

$7, 7^2, 7^3, 7^4...$

Sum of n terms in a geometric progression:

$S_n = \displaystyle\frac{a(r^n - 1)}{(r-1)}$

For sum of five terms, we put n= 5, a = 7, r = 7

$S_5 = \displaystyle\frac{7(7^5 - 1)}{(7-1)}\\\\S_5 = 19607$

The sum of first five term of GP is 19607.

Verification:

$2801\times 7 = 19607$

Thus, the sum is equal to product of 2801 and 7.

7 0

3 years ago

Evaluate the expression. ​38+16⋅12÷2−(30⋅2)

Evaluate the expression. 38+16⋅12÷2−(30⋅2)