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Neko [114]
3 years ago
12

1What is the value of x in the equation 1/3x-2/3=-18?​

Mathematics
2 answers:
Alja [10]3 years ago
6 0

Answer:

x = -52

Step-by-step explanation:

1/3x-2/3=-18

Multiply each side by 3 to clear the fractions

3(1/3x-2/3)=-18*3

x - 2 = -54

Add 2 to each side

x-2+2 = -54+2

x = -52

Alexxandr [17]3 years ago
3 0

Step-by-step explanation:

1/3x-2/3=-18

1/3x=-18+2/3

1/3x=-52/3

x=-52

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Write down the first 6 elements of the following sequence (where n ∈ Z+), then give a recursive definition for an. Do not forget
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Answer:

a. The first six terms are:

-7, -4, -1, 2, 5, 8

b. The first six terms are:

0, 2, 0, 2, 0, 2.

c. The first six terms are:

4, 8, 24, 96, 480, 2880

Step-by-step explanation:

a. an - 3n - 10

For n = 1

a1 = 3(1) - 10

= -7

For n = 2

a2 = 3(2) - 10

= -4

For n = 3

a3 = 3(3) - 10

= -1

For n = 4

a4 = 3(4) - 10

= 2

For n = 5

a5 = 3(5) - 10

= 5

For n = 6

a6 = 3(6) - 10

= 8

The first six terms are:

-7, -4, -1, 2, 5, 8

b. an= (1+(-1)^n)^n

For n = 1

a1 = (1+(-1)^1)^1

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For n = 2

a2 = (1+(-1)^2)^1

= 2

For n = 3

a3 = (1+(-1)^3)^1

= 0

For n = 4

a4 = (1+(-1)^4)^1

= 2

For n = 5

a5 = (1+(-1)^5)^1

= 0

For n = 6

a6 = (1+(-1)^6)^1

= 2

The first six terms are:

0, 2, 0, 2, 0, 2.

c. an= 2n! (2)

For n = 1

a1 = 2(1!)(2)

= 4

For n = 2

a2 = 2(2!)(2)

= 8

For n = 3

a3 = 2(3!)(2)

= 24

For n = 4

a4 = 2(4!)(2)

= 96

For n = 5

a5 = 2(5!)(2)

= 480

For n = 6

a6 = 2(6!)(2)

= 2880

The first six terms are:

4, 8, 24, 96, 480, 2880

5 0
3 years ago
You have 18 pictures to paste to a poster. You want to arrange them on the poster in rows so that there are an equal number of p
Lesechka [4]

Answer:

no idea too hard but try  math          way

Step-by-step explanation:

7 0
2 years ago
Solve this application problem using a system of equations: Dan and June mix two kinds of feed for pedigreed dogs. They wish to
wlad13 [49]

Answer:

50 pounds

Step-by-step explanation:

Dan and june mix two kind of feed for pedigreed dogs

Feed A worth is $0.26 per pound

Feed B worth is $0.40 per pound

Let x represent the cheaper amount of feed and y the costlier type of feed

x+y= 70..........equation 1

0.26x + 0.40y= 0.30×70

0.26x + 0.40y= 21.........equation 2

From equation 1

x + y= 70

x= 70-y

Substitutes 70-y for x in equation 2

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18.2-0.26y+0.40y= 21

18.2+0.14y= 21

0.14y= 21-18.2

0.14y= 2.8

Divide both sides by the coefficient of y which is 0.14

0.14y/0.14= 2.8/0.14

y= 20

Substitute 20 for y in equation 1

x + y= 70

x + 20= 70

x= 70-20

x = 50

Hence Dan and june should use 50 pounds of the cheaper kind in the mix

4 0
3 years ago
On Monday, it snowed 30 inches in 16 hours. On Thursday, it snowed 21 inches in 6 hours. On which day did it snow at a greater r
nevsk [136]

Answer: Thursday

Step-by-step explanation:

I think this answer is correct because, On Monday it says it snowed 30 inches for 16 hours, so we divide 30 by  16 and we get 1.875. But for Thursday it snowed 21 for 6 hours, so we divide 21 by 6 and that equals 3.5. So on Monday it snowed 1.875 snow per hour and Thursday it snowed 3.5 snow per hour. So the answer is Thursay!

Hope This Helps!

5 0
3 years ago
Read 2 more answers
Why might you want to write a ratio as a decimal
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Sometimes when you’re doing math, it’s easier to line your numbers up when you have your ratio as a decimal! Hope it helped

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