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3 years ago

If 3m+2n=16 and m−2n=0, then what is the value of m?

Mathematics

1 answer:

umka21 [38]3 years ago

7 0

Answer:

m= 4

Step-by-step explanation:

3m +2n= 16 -----(1)

m -2n= 0 -----(2)

From (2):

m= 2n -----(3) (+2n on both sides)

subst. (3) into (1):

3(2n) +2n= 16

6n +2n= 16

8n= 16 (simplify)

n= 16 ÷8

n= 2

subst. n=2 into (3):

m= 2(2)

m= 4

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A number is called evil if it has 666 in it. How many 7 digit numbers are evil?

defon

Step-by-step explanation:

There are 5 different positions of 666:

666////

/666///

//666//

///666/

////666

The forward dashes represent any number from 0 to 9.

Case 1: "666////"

Number of ways = 10⁴ = 10,000.

Case 2: The other positions.

Since the 1st forward dash cannot be 0 (leading digit),

Number of ways for each position = 9 * 10³ = 9,000

Number of ways for all 4 positions = 9,000 * 4 = 36,000.

Total evil numbers = 10,000 + 36,000 = 46,000.

5 0

2 years ago

k is a an integer for which 1/2^1-k, 1/8. What is the value of k? 1/2^1-k must be equal to 1/8 if i read the question right.

svetlana [45]

Answer:

k = -2

Step-by-step explanation:

If $\frac12^{1-k}=\frac18$

Then

$\frac1{2^{1-k}}=\frac18=\frac1{2^3}$

$1-k = 3$

From this follows k = -2

3 0

3 years ago

10 increased by the product of p and 2

Nuetrik [128]

10 + 2p

increases by means addition

product means multiplication

3 0

2 years ago

Please help me with this.... 4x+3=23

MArishka [77]

Answer:

x=5

Step-by-step explanation:

23-3= 4x or 20

that means 4x is equal to 20

20 divided by 4 is 5

so x is equal to 5

6 0

3 years ago

What is the area of the triangle? 10, 4, and 26

Leno4ka [110]

Answer:

I cannot help without a picture, so please send one if you can?

Step-by-step explanation:

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2 years ago