Which value for y completes the proportion? 18/27 = 2/y 1 2 3 9

How many 4 digit multiples can not be divided by 5

Advocard [28]

Answer:

1800

Step-by-step explanation:

Let us solve this question by Modular Airthmatic.

Let the lowest 4 digit number be X.

X= 1 (mod 5)

X =2 (mod 5)

X=3 (mod 5)

X =4 (mod 5)

X=1+5 t where t is any integer.

1+5 t=2 (mod 5)

5 t=1 (mod 5 )

5 is the Modular Inverse of modulo 5

t=1 (mod 5)

t =1+5 u : u= any integer.

X becomes 1+ 5 (1+5u )=6+25 u

6+25u =3 (mod 5)

25 u= -3 (mod 5)=2 (mod 5)

25 is Modular Inverse of Modulo 5

u=2 (mod 5)

u =2+5 v : v= any integer.

X becomes 6 +25 (2+5 v)=56+125 v .

56 +125 v=4 (mod 5)

125 v=-52 (mod 5)=3 (mod 5)

125 is Modular Inverse of modulo 5

v = 3 (mod 5)

v =3 +5 w where w is any integer.

For lowest 4 digit number, take

w=200

X=1003 : Lowest 4 digit number.

Take w=201

X=208 : Next number.

For 4 digit largest number, take

w=1995

X= 9978 : Largest number.

No. of Numbers =(1995 - 200 )+1=1800 □Ans.

8 0

3 years ago

Read 2 more answers

What are the solution(s) of x2-4-0? X= 4 or X=4 X=-2 or x= 2 x=2 x=4

Pavel [41]

Answer:

Step-by-step explanation:

First you add 4 on both sides

X^2=0

Then you take square on both sides

X=+- the square root of 4

Simplify that

X=plus or minus 2

The answer can be either -2 or +2 (which is just 2)

5 0

2 years ago

These dot plots show the ages (in years) for a sample of two types of fish.

drek231 [11]

*Select two choices: one for the centers and one for the spreads.

A. Centers: The sharks have a lower median age than the koi

B. Spreads: The ages of the koi are more spread out.

C. Centers: The sharks have a greater median age than the koi.

D. Spreads: The ages of the sharks are more spread out

(See attachement for diagram)

Answer:

A. and B.

Step-by-step explanation:

Measure of center that can be used in stating the differences between Koi and Shark is the median.

Examining the dot plot, the median age for Sharks is 20.

The median age for Koi is the 14th data point, which is 40.

Thus, for the center, we can conclude that Sharks has a lower median age than Koi.

For the spread, the larger the range, the more spread out the data are.

Thus:

Range for Sharks = 30 - 10 = 20

Range for Koi = 70 - 25 = 45

Therefore, we can conclude that the ages of Koi are more spread out.

5 0

2 years ago

Mary invests £12000 in a savings account. The account pays 1. 5% compound interest per year. Work out the value of her investmen

mestny [16]

Answer:

The value of Mary's investment after two years = £12362.7

Step-by-step explanation:P = Principal / initial amountR = rate of interest per cent per yearT = number of yearsA = final amount at the end of T yearsThen:A = P*(1 + R/100)^2In our example:P = £12000R = 1.5 per cent per yearT = 2 yearsThus:A = 12000*(1 + 1.5/100)^2 = 12000*(1 + 0.015)^2 = 12000*(1.015)^2 = 12000*(1.030225) = 12362.7Value of investment after two years = £12362.7

4 0

2 years ago

Mickey used these calculations to find how much he would spend on 7 cartons of eggs, if 12 cartons of eggs cost $22.20. Describe

Stels [109]

Answer: you would divide the total price of $22.20 by the amount of cartons, which is 12, giving you the unit rate of $1.85 per carton. the unit rate, $1.85 multiplied by 7 is $12.95, so it would cost $12.95 for 7 cartons of eggs

Step-by-step explanation:

5 0

2 years ago