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stiv31 [10]
3 years ago
14

Adam will plant up to 41 acres on his farm with wheat and corn. Fewer than 28 acres will be planted with corn.

Mathematics
2 answers:
Eddi Din [679]3 years ago
8 0
Both A and D are correct. Yup.
Vlad1618 [11]3 years ago
6 0

Answer:

w+c ≤ 41

c < 28

Step-by-step explanation:

Given :Adam will plant up to 41 acres on his farm with wheat and corn. Fewer than 28 acres will be planted with corn.

To Find: Identify two inequalities that represent this situation.

Solution:

We are given that

w represent the number of acres of wheat

c represent the number of acres of corn.

since we are given that Adam will plant up to 41 acres on his farm with wheat and corn.

⇒w+c ≤ 41

We are also given that Fewer than 28 acres will be planted with corn.

⇒c < 28

Hence Option A and D is correct.

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rearrange the following linear equation into y=mx+b form and identify the slope and the y intercept 2y=2x+6
damaskus [11]

Answer:

Step-by-step explanation:

we need the equation to be like y=mx+b so we have to simplify our equation

2y=2x+6

divide everything by 2

so it’s y=x+3 and that’s ur answer

6 0
2 years ago
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:

  16

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
How do you write 0.66 as a percentage
allsm [11]
The answer is 66%. You get the answer by multiplying 100 to 0.66.
8 0
3 years ago
Read 2 more answers
Which integer is closest to 0 on the number line?
IrinaVladis [17]

An integer is close to zero if it is "small".

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So, for example, -6 is close to zero than 8, because -6 is six units away from zero, while 8 is eight units away from zero.

So, the answer is B, -8, because it is 8 units away from zero. The other options A, C and D are, respectively, 12, 10 and 14 units away from zero.

8 0
3 years ago
A side of a square is 8 3/2  inches. Using the area formula A = s2, determine the area of the square.
Sedaia [141]
We are given that:
side length = 8 3/2 inches = 9.5 inches
the rule for the area is: A = s^2

Substitute with the side length in the rule given to get the area as follows:
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4 0
3 years ago
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