All categories

2 years ago

Find the smallest positive integer that has a remainder of 2 when divided by 4 and remainder of 3 when divided

Mathematics

1 answer:

mestny [16]2 years ago

4 0

Answer:

Step-by-step explanation:

Hello

The number is more by three than a multiple of of 5 (i.e 5x +3) and more than 2 than a multiple of 4 (ie 4y+2(

Now 5x+3=4y+2

ie 5x +1 =4y

we need to give the lowest pair of values to x and y such that the last equality is satisfied.

By trial, x = 3 and y = 4

thus the number is 5x+3 =5(3)+3 =18=4y+2 =4(4)+2=18

I hope it has helped you.

You might be interested in

Please help me answer for 35 and 36

dexar [7]

Answer:

35. $f(2)=16$

36. $f(2)=77$

Step-by-step explanation:

Question 35:

Given:

$f(1)=32$

$f(n)=f(n-1)\times \frac{1}{2}$

Plug in 2 for $n$ and simplify. This gives,

$f(2)=f(2-1)\times \frac{1}{2}\\f(2)=f(1)\times \frac{1}{2}\\f(2)=32\times \frac{1}{2}\\f(2)=16$

Therefore, term 2 is 16.

Question 36:

Given:

$f(1)=11$

$f(n)=f(n-1)\times 7$

Plug in 2 for $n$ and simplify. This gives,

$f(2)=f(2-1)\times 7\\f(2)=f(1)\times 7\\f(2)=11\times 7\\f(2)=77$

Therefore, term 2 is 77.

8 0

3 years ago

Alex helps his father milk cows on their dairy farm. They are paid $2.25

RSB [31]

Choice C - 135 dollars

4 0

3 years ago

Hey! i’ll give brainliest please help.

S_A_V [24]

Answer:

A is

Step-by-step explanation:

6 0

2 years ago

Solve for X. 96 93 6 3

Temka [501]

93 is the right answer please mark me as brainlest

Step-by-step explanation:

I say the answer support. me mark me as brainlest

4 0

2 years ago

Yara is opening a new bank account today.

Gennadij [26K]

Getting 10% a month is the best option if she put $500 in. That would be $50 the first month. $55 the second month etc. -- which would be more than the $500 in answer 1.

4 0

3 years ago