How do i solve this problem 2/3y+y-4=31

Answers

Answer 1
Answer:

The resultant of the given equation will be : y = 21

Given,

2/3y+y-4=31

Here,

First add the terms having same variable.

Add 2/3 y and y

2/3 y + y

= 5y/3

Now take -4 from LHS to RHS ,

5y/3 = 35

y = 7* 3

y = 21

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Answer 2
Answer: ( 2 / 3)y + ( 3 / 3 )y - 12 / 3 = 93 / 3 ;
( 2y + 3y - 12 ) / 3 = 93 / 3 ;
5y - 12 = 93 ;
5y = 105 ;
y = 21 ;

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If the measure of an angle is 13, find the measure of its supplement
Divide. Assume that no denominator equals zero.
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If the 9th term of an A.P is 0, prove that its 29th term is twice its 19th term

Answers

Let the first term, common difference and number of terms of an AP are a, d and n respectively.

Given that, 9th term of an AP, T9 = 0 [∵ nth term of an AP, Tn = a + (n-1)d]

⇒ a + (9-1)d = 0

⇒ a + 8d = 0 ⇒ a = -8d ...(i)

Now, its 19th term , T19 = a + (19-1)d

= - 8d + 18d [from Eq.(i)]

= 10d ...(ii)

and its 29th term, T29 = a+(29-1)d

= -8d + 28d [from Eq.(i)]

= 20d = 2 × T19

Hence, its 29th term is twice its 19th term

Answer:

Proved below.

Step-by-step explanation:

a9 = a1 + 8d = 0          where a1 = first term and d = common difference.

we need to prove that

a1 + 28d = 2(a1 + 18d

simplifying:-

a1  + 36d - 28d = 0

a1 + 8d = 0 which is what we are given.

Therefore  the proposition is true.

Which is the answer 3.6÷3 and how can solve?

Answers

Answer: 1.2

Why? Here:

3.6 is also known as 36/100

So, 36/100 ÷ 3/1

36/100 x 1/3 ( transposing because of divide)

36 comes in 3 table so, 36÷3 is 12

12/100 x 1

12/100 also known as 1.2

What is the value of the expression |x + y| + |z| when x = –6, y = 4, and z = –13? PLZZZ HELPP ME!!

Answers

|-6+ 4| + | -13|

|-2| + |-13|

2 + 13

15

Need help with number 2 please. Show your work.

Answers

It's the same as #1 you just have to simplify x and y for w.

x + 2 = 0 | -2

x = -2

y + 3 = 0 | -3

y = -3

1/3 as long as 6 meters

Answers

The 1/3 portion of 6 meters can be calculated by the concept of Division and it is come out as, 2 meter

What is division?

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

Given that,

Length = 6 meters

one third portion of 6 meter = ?

It is known that,

Division means, dividing the number in equal parts

Like-   a/b is written, it means

we have to divide number a in b equal parts,

Similarly,

It can be done in calculating one third portion of the length 6 meter,

So,

One third portion = 6/3

                             = 2

Hence, the one third length is 2 meter

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Ya 1/3 of 6meters is 2 meters

What are the correct answers?

Answers

1. Square: 4 angles, two pairs of parallel sides, all sides congruent.
2. Parallelogram: 4 angles, two pairs of parallel sides which are congruent. 
3. Rectangle: 4 right angles, two pairs of parallel sides, all sides are congruent.
4. Trapezoid: 4 sides, one pair of parallel sides which don't have to be congruent.
The answers are 1. Square: 4 angles, two pairs of parallel sides, all sides congruent. 2. Parallelogram: 4 angles, two pairs of parallel sides which are congruent. 3. Rectangle: 4 right angles, two pairs of parallel sides, all sides are congruent. 4. Trapezoid: 4 sides, one pair of parallel sides which don't have to be congruent.