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4 years ago

Evaluate. Remember Order of Operations! (PEMDAS) 11 + 22 - 2

Mathematics

2 answers:

kozerog [31]4 years ago

6 0

Answer:

Step-by-step explanation:

11 + 2^2 - 2

11 + 4 - 2

Usimov [2.4K]4 years ago

4 0

PEMDAS
33-2
=31
This is your answer add then subtract

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12. A, B and C are consecutive natural numbers. If 2/7 of the reciprocal of A is equal to ⅓ of the reciprocal of C, find B.

abruzzese [7]

<h3>Answer: 13</h3>

===================================================

Explanation:

The set of natural numbers is {1,2,3,4,...} aka the set of positive whole numbers.

Consecutive natural numbers follow one right after another, like with that example above or something like 7,8,9,...

Since B follows right after A, this means B = A+1. Similarly, C = B+1 = (A+1)+1 = A+2 because C follows right after B.

So we have

A = some unknown natural number
B = A+1
C = A+2

In other words, we have the sequence A,A+1,A+2 to replace the sequence A,B,C in that order.

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

The reciprocal of A is 1/A. Taking 2/7 of this gets us 2/(7A). This result is equal to 1/3 of the reciprocal of C, so,

2/(7A) = 1/3 of 1/C

2/(7A) = 1/(3C)

2/(7A) = 1/(3(A+2))

2/(7A) = 1/(3A+6)

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

Let's cross multiply and solve for A

2/(7A) = 1/(3A+6)

2(3A+6) = 7A*1

6A+12 = 7A

12 = 7A-6A

12 = A

A = 12

Therefore, B = A+1 = 12+1 = 13 and C = A+2 = 12+2 = 14

The sequence A,B,C updates to 12,13,14.

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

Check:

A = 12

reciprocal of A = 1/A = 1/12

D = 2/7 of reciprocal of A = (2/7)*(1/12) = 2/84 = 1/42

C = 14

reciprocal of C = 1/C = 1/14

E = 1/3 of the reciprocal of C = (1/3)*(1/14) = 1/42

Items D and E are equal, so it confirms we have the correct answer.

8 0

3 years ago

100 POINTS QUESTIONS IN PICTURES

stealth61 [152]

First picture
ABC is a triangle so
m<A +m<B+m<C = 180
6x - 1 + 20 + x + 14 = 180
7x + 33 = 180
7x = 180 - 33
7x = 147
x = 147/7
x = 21
m<A = 6x - 1 = 6(21) - 1 = 125
m<C = x + 14 = 21 + 14 = 35
answer:
m<A = 125
m<C = 35
-----------------------------------------
second picture

ABC is a triangle so
m<A +m<B+m<C = 180
48 + 6x - 28 + 2x = 180
8x + 20 = 180
8x = 180 -20
8x = 160
x = 160/8
x = 20

m<B = 6x - 28 = 6(20) - 28 = 120 - 28 = 92
m<C = 2x = 2(20) = 40

answer:
x = 20
m<B = 92
m<C = 40

3 0

3 years ago

Read 2 more answers

Algebra applications: find the value of x and y

Inga [223]

Answer : The value of x and y is 8 and 10 respectively.

Step-by-step explanation :

As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.

From the given figure we conclude that:

$5x-y+150=180$ ...........(1)