A farmer is creating a budget for planting soybeans and wheat. Planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more than $100,000 planting soybeans and wheat.

Write an inequality to describe the constraints. Specify what each variable represents. (2 pts)

Name one solution to the inequality and explain what it represents in that situation. (2 pts)

Answer:

16 units

Step-by-step explanation:

We know a square is 4 sides, and perimeter is the sum of all sides.

4 + 4 + 4 + 4 = 16 units

we can do this in a more efficient way with:

4 x 4 =16 units

Answer:

-14 Mexican pesos means you have a debt of $0.67 at today's exchange rates.

Step-by-step explanation:

Answer:

-4=w

Step-by-step explanation:

-79=7w+12w-3

-79=19w-3

-79+3=19w-3+3

-76=19w

-76÷19=19w÷19

-4=w

Answer:

w = -4.

Step-by-step explanation:

-79 = 7w + 3(4w - 1)

7w + 12w - 3 = -79

19w = -76

w = -4.

Answer:

Step-by-step explanation:

There are possible:

The numbers are:

The sum is:

The last 3 digits of the sum is 329

Answer:

Step-by-step explanation:

or

[tex]\\ \sf\longmapsto 3-(2x-5)<-4(x+2)[/tex]

[tex]\\ \sf\longmapsto 3-2x+5<-4x-8[/tex]

[tex]\\ \sf\longmapsto -2x+8<-4x-8[/tex]

[tex]\\ \sf\longmapsto 2x-8<4x+8[/tex]

[tex]\\ \sf\longmapsto 2x-4x<8+8[/tex]

[tex]\\ \sf\longmapsto -2x<16[/tex]

[tex]\\ \sf\longmapsto 2x<16[/tex]

[tex]\\ \sf\longmapsto x<-8[/tex]

Answer:

Step-by-step explanation:

#1

Intersection of the two given sets is the empty set as the sets cover two different intervals without common elements.

Correct choice is A

#2

Assume there is a union sign between sets.

The union of the two sets is both of them.

Correct choice is B

#3

Both the points are excluded, so both ends are open circles and the graph covers the interval between them.

Correct choice is A

Your answers would be:

1.)   A

2.)  B

3.)  A

Answer:

The difference is one number is larger than the other.

Step-by-step explanation:

we are doing BOMDAS

so (5+3)*3

we start with the bracket first since we are dealing with BOMDAS

(5+3)*3 = 8*3

then we multiply the 8*3 which equals to 24

(5+3)*9

we start with the bracket first (5+3) equals to 8 and then we multiply the 8 by the 9 and the answer is 72

(5+3)*9

(5+3)= 8*9

= 72

between 24 and 72 the difference is 72 is larger

Answer:

1 dollar

Step-by-step explanation:

If she started with 1 and add 43 she now has 44.  Once you add the 22 you get 66 which is what she has now.  

Answer:

143 degrees

Step-by-step explanation:

The shape is a hexagon therefore the total angle will be 720 degrees.

The sum of the total angle of the shape is 434 degrees

So to get the answer the equation is:

434 + x + x = 720 degrees

So x =  143 degrees.

Answer:

Step-by-step explanation:

Every possible value of y will have an x value of x = - 2 associated with it. For example (-2, 58) is also on this vertical line. A line with more than 1 y value associated with x means the line you get is not a function.

The equation you want is x = - 2

Answer:

[tex]\frac{3}{5}x - 21[/tex]

Step-by-step explanation

Three-fifths of a number means [tex]\frac{3}{5}x[/tex] and 21 less than that number means [tex]\frac{3}{5} x - 21[/tex].

Answer:

10x^3+16

Step-by-step explanation:

f(g(x)) means that for that for "x" number of tickets, he is making that amount.

Hope this helps

Answer:

what is the question ❓ i don't understand

Answer:

=344

Step-by-step explanation:

(43)(8)

=344

Using the binomial probability relation, the probability that exactly 27 graduates earn a college degree is 0.069

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

Probability of exactly 27 graduates can be defined thus :

P(x = 27) = 200C27 × 0.15^27 × 0.85^173

P(x = 27) = 0.0686264

Therefore, the probability of selecting exactly 27 graduates is 0.069

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Step-by-step explanation:

the numbers of the problems =

12 × 25 = 300

each minute he can answer 2 problems

therefore, the time that he expect to finish the problems =

300/2 × 1 minute = 150 minutes

= 2 hours and 30 minutes

2 questions he can solve 1 min

per question he need 1/2min or 0.5min

Now

Total problems

Total time

Let the two angles be 3x and 7x.

Supplementary angles add up to 180 degrees.

Therefore:

3x + 7x = 180

10x = 180

x = 18

3x = 3 * 18 = 54

7x = 7 * 18 = 126

Answer:

The two angles are 54 degrees and 126 degrees.

Answer:

Step-by-step explanation:

y = -2x + 1

y = x + 4

2x + y = 1 _______(1)

-x + y = 4_______(2)

[tex] - x + y - (2x + y) = 4 - 1 \\ - x + y - 2x - y = 3 \\ - 3x = 3 \\ x = \frac{3}{ - 3} \\ x = - (1) \\ [/tex]

x = (-1),

[tex]2x + y = 1 \\ 2( - 1) + y = 1 \\ - 2 + y = 1 \\ y = 1 + 2 \\ y = 3 \\ [/tex]

Answer:

27 plates

Step-by-step explanation:

81 ÷3=27 chicken pieces

27 pieces of corn (one piece of corn per plate)

54÷2=27 two pieces of bread per plate

Answer:

12p = 35.50d

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

9514 1404 393

Answer:

  43.70 ft

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides. The correct computation is ...

  Hypotenuse is √(7² +7²) = √(49 +49) = √98 = 7√2

  Perimeter of pentagon is ...

     7 +7√2 +7√2 +7√2 +7 =

     7 +21√2 +7 =

     14 +21√2 ≈ 14 +29.70 =

     Perimeter is approximately 43.70 ft.

__

There are two errors:

Both errors are easy to find if you know what the computation is supposed to look like.

The Pythagorean theorem involves a sum of squares.

Answer:

C.)42.3

Step-by-step explanation:

If it's difficult to do subtraction with negatives, switch them to positive and subtract 14.5 from 56.8. In order to get a lesser negative number(negatives closer to -1 are greater), you have to add a positive number. My math teacher taught me this simple but effective method. This method is used for multiplication and division but it helps:

(Hate=Negative and Love=Positive)

If you hate to hate, you love.(neg. x neg=pos.)

If you hate to love, you hate(neg. x pos.=neg.)

If you love to love, you love(pos. x pos.=pos.)

If you love to hate, you hate(pos. x neg.=neg.)

c) 42.3 feet

Step-by-step explanation:

Is known :

Asked :

Aswered :

A submarine's elevation is -14.5 feet relative to sea level - A shark isswimming at an elevation -56.8 feet

= (-14,5) - (-56,8)

= 42,3

Answer: (x^2)/16 + (y^2)/25 = 1

Step-by-step explanation:

According to the problem we can figure out that the center of the ellipse is (0,0).

Since the foci is (0,3) and (0,-3) we know that the value of c is 3. The major vertices are (0,5) and (0,-5) so the value of a is 5.

If we put this into the equation a^2=b^2 + c^2, we get 25=9+ b^2

We get b^2 is 16

Now since we know that the ellipse is vertical because the x value didn’t change, we know that the b^2 value comes first in the equation. Then the a^2 value which is 25.

Answer:

26

Step-by-step explanation:

206÷ 8= 25.75 (remainder was 6)

that means 25 classes will be needed but since the are 6 students remaining 1 more class can be added makes 26 classes

Answer:

Need a bit more context

Step-by-step explanation:

Answer:

Sasha

Step-by-step explanation:

Sasha should figure out what the volume of the crystal is by herself.

Answer:

Samuel runs 5 meters per second

Step-by-step explanation:

Answer:

English: 45/50 = 0.9 = 90%

Music: 45%

Art: 25/40 = 0.625 = about 63% (if you round up)

Math: 85%

As you can see: English - highest | Music - lowest

Alice got her highest score in Maths, and her lowest score in Music.

To find out which subject Alice got her highest and lowest scores in, let's compare the scores in each subject.

English: 45 out of 50 = 45/50 = 0.9 (90%)

Music: 45 % = 45/100 = 0.45

Art: 25 out of 40 = 25/40 = 0.625 (62.5%)

Maths: 85 % = 85/100 = 0.85

Now, we can see that the highest score is in Maths (85%) and the lowest score is in Music (45%).

So, Alice got her highest score in Maths, and her lowest score in Music.

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The simplified forms of the expressions are;

a.5x²

b.6x³y

c.6x⁴y

Index forms are described as mathematical forms that makes numbers or values in too small or too large forms appear in a more convenient manner.

Other names for index forms are standard forms and scientific notation.

These index forms are formed by taking the exponents of numbers or variables inside of their usually repetitive forms in an expression.

From the information given, we have that;

a. 5 x x

Since the variable appeared twice, it is represented as;

5x²

b. 6 xxxy

One variable appeared three times

6x³y

C.  2 x x x 3 xy​

Multiply the numbers as well as the variables

6x⁴y

Hence, the expressions are simplified to index forms

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Answer:

72

Step-by-step explanation:

I like to work backward with problems like these. I'll start out with 40. Then it says that his dog ate half of this number. Instead of dividing by 2, I'll have to multiply by two since I'm working backward.

So, now I have 80, the number of cards he had before his dog ate half of the collection. We also see that he bought 8 new Pokemon cards and added these two his collection. Instead of adding 8, I'll subtract 8 from 80, giving me 72. So, this is his original amount.

If I take this number and go back through the scenario, I can check my work.

72 + 8 = 80, 80/2 = 40