Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction
Answers
1st fraction - 7/24
2nd fraction - 34/48
Rules in dividing fractions:
1) Get the reciprocal of the 2nd fraction.
34/48 becomes 48/34
2) Multiply the 1st fraction to the reciprocal of the 2nd fraction
7/24 * 48/34 = 7*48 / 24*34 = 336/816
3) Simplify the fraction
336/816 ⇒ 112/272 ⇒ 56/136 ⇒ 14/34 ⇒ 7/17
336 ÷ 3 = 112
816 ÷ 3 = 272
112 ÷ 2 = 56
272 ÷ 2 = 136
56 ÷ 4 = 14
136 ÷ 4 = 34
14 ÷ 2 = 7
34 ÷ 2 = 17
7/24 ÷ 35/48 = 7/17
= 7/24 × 48/35. 7 into 35 is 5. 24 into 48 is 2.
= 2/5
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V=LWH
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Answers
Answer:
First term is 5
Fourth term is 5.5
Tenth term is 6.5
Step-by-step explanation:
Given :The rule as
We have to find find the first,fourth,and tenth terms of the arithmetic sequence.
Consider the given rule ,
For first term , put n = 1
Simplify , we have,
For fourth term, Put n = 4
we have,
Simplify, we have,
For tenth term, put n = 10 ,
We have,
Thus, First term is 5
Fourth term is 5.5
Tenth term is 6.5
wyliczymy jednak - so we enumerate
a₁ = 5 + (1-1) * (1/6) = 5 + 0* 1/6 = 5 + 0 = 5
a₄ = 5 + (4 - 1) * (1/6) = 5 + 3 * (1/6) = 5 + 3/6 =5 1/2 = 5,5
a₁₀ = 5 + (10 - 1) * (1/6) = 5 + 9 * (1/6) = 5 + (9/6) = 5 + 3/2 = 6 1/2 = 6,5
B. (30+6)/6+3*2^2
C.40-[5*(3+1)+8]
D.[(3+5)*2-5]*3
Answers
A. 15+(8*3-6)
inside the parentheses, we multiply first
15+(24-6)
now simplify the rest of the parentheses
15+18
33
so answer "A'' equals 33
B. (30+6)/6+3*2^2
we simplify the inside of the parentheses
36/6+3*2^2
we simplify the exponent
36/6+3*4
6+12
18
So NO, answer "B" is not correct
C. 40-[5*(3+1)+8]
all the way on the inside of the parentheses,
40-[5*4+8]
multiplying comes before adding, so
40-[20+8]
inside the brackets,
40-28
12
So answer "C" is also incorrect
D. [(3+5)*2-5]*3
inside the parentheses
[8*2-5]*3
multiplying before subtracting
[16-5]*3
11*3
33
So the only answers that equal 33 are answer "A" and answer "D" equal 33
Answers
Between 60 & 100
Units digit 2 less than tens
Prime number
79 is a number between 60 & 100 and it is a prime number (as its only factors are 1 and itself), however 79 has a tens digit that is 2 less than the units - not the units 2 less than the tens.
As it does not comply with one of the rules the number cannot be 79
The number that would work is 97