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3 years ago

3. if y varies directly as x and y=23.1 when x=36.3, find y when x=11.

Mathematics

1 answer:

STatiana [176]3 years ago

8 0

Answer:

the answer is 5 because thats the varible

Step-by-step explanation:

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A four-digit number N leaves a remainder of 10 when divided by 21, a remainder of 11 when divided by 23, and a remainder of 12 w

aksik [14]

Answer:

Step-by-step explanation:

There may be a formal way to solve simultaneous Diophantine equations, but I don't know what it is. So, I addressed this by solving them 2 at a time.

First of all, we want to find a relation between integers p and q such that ...

21p+10 = 23q +11

21p -23q = 1 . . . . . . subtract 23q+10

Using the extended Euclidean algorithm or trial and error or astute observation, we find that (p, q) = (11, 10) is a solution to this equation. Then we can write p and q as ...

p = 23n+11
q = 21n+10

for some integer n.

Then our original numbers become ...

21p+10 = 21(23n+11)+10 = 483n +241 . . . . for some integer n

For this to be a 4-digit number, we must have n such that

1000 ≤ 483n +241 ≤ 9999

1.6 < n < 20.2

Modulo 25, the number (483n+241) is ...

8n +16

and we want that value to be 12:

(8n +16) mod 25 = 12

(8n +4) mod 25 = 0 . . . . . subtract 12

4(2n+1) mod 25 = 0 . . . . factor out 4

For this to be true, we must have 2n+1 be a multiple of 25. The only value of n that is in the required interval [2, 20] is n=12.

When n=12, 483n+241 = 6037. The sum of digits of 6037 is 16.

3 0

3 years ago

The two reproduction cells are eggs and sperm True False

Lera25 [3.4K]

Answer:

True

Step-by-step explanation:

This is a part of both female/ male. The male has sperm when released, and the female produces a egg which lead to reproduction.

3 0

3 years ago

Read 2 more answers

Emilio bought an ant farm that had 15 ants in it already. He read somewhere that

Nina [5.8K]

The number of ants in his farm after 12 weeks is 218.

Step-by-step explanation:

Step 1:

It is given that there are 15 ants initially and the ant population increases by 25% each week.

This is an exponential rate of increase that can be modeled by the following equation:

Number of ants after n weeks = Initial number of ants * $(1 + rate of increase) ^{n}$

Step 2:

Rate of increase = 25% = 25 / 100 = 0.25

Number of weeks = 12

Number of ants after 12 weeks = 15* $(1 + 0.25 )^{12}$ = 218.27 (rounded off to 218)

Step 3:

Answer:

The number of ants in his farm after 12 weeks is 218.

6 0

3 years ago

Determine the intercepts of the line. y-intercept: r-intercept: help pls

cricket20 [7]

The picture is blurry

7 0

3 years ago

Can someone help me with this? I will mark you as brainliest

Tresset [83]

Answer:

1372$

Step-by-step explanation:

the price =15600+20/100*15600=15600*120/100=18720

18720-5000=13720 $

13720:10=1372 $

8 0

3 years ago