Ms. Stapleton had 2,600 hens, ducks, and goats on her farm. 35% of them were hens, and 25% of them were goats. How many ducks did she have on her farm ?

Answer:

1. Option 4

2. Option 2

3. Option 2

4. Option 4 (not completely sure)

5. Option 2

6. Option 1 (not completely sure)

7. Option 4

8. Isotopes are caused by different numbers of neutrons in the electron cloud

9.  Not sure of the question

10. Positive charge

11. nucleus

Step-by-step explanation:

Give the guy above me brainliest.

Let us represent the allowance spent by Noah on Monday by the letter "x".

We know that all the fractions must always add up to 1 in such questions.

Thus, if Noah spent 1/6 of his allowance on Tuesday and 3/6 of it on Friday and he spend x amount on Monday, then these spendings must add up to 1.

In other words,

[tex] x+\frac{1}{6}+\frac{3}{6}=1 [/tex]

[tex] x+\frac{1+3}{6}=1 [/tex]

Thus, [tex] x+\frac{4}{6}=1 [/tex]

[tex] \therefore x=1-\frac{4}{6}=\frac{6-4}{6}=\frac{2}{6}=\frac{1}{3} [/tex]

Thus Noah spent a third or [tex] \frac{1}{3} [/tex] of her allowance on Monday.

Hence, the mid-point of side EF is located at:

                    (-0.5,4.5)

We know that the coordinates of a mid-point C(e,f) of a line segment AB with vertices A(a,b) and B(c,d) is given by:

[tex]e=\dfrac{a+c}{2},\ f=\dfrac{b+d}{2}[/tex]

Here we have to find the mid-point of side EF.

E(-2,3) i.e. (a,b)=(2,3)

and F(1,6) i.e. (c,d)=(1,6)

Hence, the coordinate of midpoint of EF is:

  [tex]e=\dfrac{-2+1}{2}\ ,\ f=\dfrac{3+6}{2}\\\\\\e=\dfrac{-1}{2}\ ,\ f=\dfrac{9}{2}\\\\\\e=-0.5\ ,\ f=4.5[/tex]

                Hence, the mid-point of side EF is:

                          (-0.5,4.5)

The equations are x + y = 67 and x = y + 21. Then the two numbers are 44 and 23.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The sum of the two numbers is 67. The smaller number is 21 less than the larger number.

Let the two numbers be 'x' and 'y' and x > y. Then the equations are given as,

x + y = 67       ...1

x = y + 21       ...2

From equations 1 and 2, then we have

y + 21 + y = 67

2y = 46

y = 23

Then the value of 'x' is given as,

x = 23 + 21

x = 44

The equations are x + y = 67 and x = y + 21. Then the two numbers are 44 and 23.

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Answer:

18

Step-by-step explanation:

[tex]90[/tex] ÷ [tex]\frac{250}{3} = 1.08[/tex]

This is 1% of the trip

[tex]1.08[/tex] · [tex]100 = 108[/tex]

This is the amount of the whole trip

[tex]108 - 90 = 18[/tex]

So the answer is he has to 18 more miles to travel.

If 5/9 of a tank can be filled in 2 minutes, it would take 3.6 minutes to fill the whole tank by setting up a proportion and solving for the time.

If 5/9 of a tank can be filled in 2 minutes, then to find the time it takes to fill the whole tank, we can set up a proportion. Since time is directly proportional to the amount of the tank filled, we have the following relationship:

Fraction of tank filled / Time to fill that fraction = 1 (whole tank) / x minutes

So, 5/9 of the tank is to 2 minutes as 1 whole tank is to x minutes:

(5/9) / 2 = 1 / x

Cross-multiplying gives us:

5x = 18

Dividing both sides by 5:

x = 18/5

x = 3.6 minutes

Therefore, it would take 3.6 minutes to fill the whole tank.

Final answer:

To find out how long it takes to fill the entire tank, set up the proportion of (5/9) of the tank in 2 minutes to (9/9) of the tank in x minutes, which gives x = 3.6 minutes for the whole tank to be filled.

Explanation:

If 5/9 of a tank can be filled in 2 minutes, we can set up a direct proportion to find out how long it would take to fill the entire tank. We are trying to find the time required to fill 9/9 (or the whole tank) if 5/9 takes 2 minutes. To solve this, we calculate:

Set up the proportion where the fraction of the tank filled is directly proportional to the time taken: (5/9) / 2 = (9/9) / x minutes.

Now we solve for x, which represents the total time to fill the tank: x = (2 minutes * 9/9) / (5/9).

Simplify the right side: x = 2 minutes * (9/5).

Calculate the value of x: x = 3.6 minutes.

Therefore, it will take 3.6 minutes to fill the entire tank.

The best simulation for the probability of selecting two girls is Simulation 2, which uses two standard decks of cards, with hearts and diamonds representing girls. The probability that both selected members are girls is 25%.

To simulate the probability that both class members participating in the academic challenge are girls, Simulation 2 would be more appropriate. Since each class has half boys and half girls, just like a standard deck of cards has half red suits (hearts and diamonds representing girls) and half black suits (spades and clubs representing boys), this simulation effectively mirrors the class demographics.

To calculate the probability of selecting a girl from both classes, consider the probability of drawing a heart or diamond from one deck, which is 1/2 or 0.5. Since the events are independent (what happens in one draw does not affect the other), we can multiply the probabilities for the two events: 0.5 (probability of a girl from Class A) * 0.5 (probability of a girl from Class B) = 0.25. Therefore, the probability of both selected members being girls is 25%.

Answer:

Step-by-step explanation:

We have given:

x^4-2/x+1

Put x+1 = 0

x= 0-1

x= -1

-1 | 1   0   0   0   -2

  |      -1   1   -1     1

_______________

    1    -1   1  -1    -1

Thus it makes the expression:

x^3-x^2+x-1 - 1/x+1

You can further confirm this expression by solving the expression:

(x4 − 2) ÷ (x + 1).

x^4 - 1 -1/x+1

x^4-1/x+1 - 1/x+1

(x^2-1) (x^2+1)/x+1 - 1/x+1

(x-1)(x+1) (x^2+1)/x+1  - 1/x+1

x+1 n the numerator will be cancelled out by x+1 in the denominator.

(x-1) (x^2+1) - 1/x+1

Multiply (x^2+1) by x-1

x(x^2+1) -1(x^2+1)  - 1/x+1

x^3+x-x^2-1 - 1/x+1

x^3-x^2+x-1 - 1/x+1 ....

The solution of the equation [tex]-x^2+2x+3=x^2-2x+3[/tex] are the x-coordinates of common points on the graphs of the function [tex]y=-x^2+2x+3[/tex] and [tex]y=x^2-2x+3.[/tex]

As you can see from the attached diagram these graphs intersect at points (0,3) and (2,3), then the solutions of the previous equation are x=0 and x=2.

Answer: x=0, x=2.

Sally has 18 books, as she has two times more books than Nancy, who has 9 books. The equation used is Sally's books = 2 × Nancy's books. Therefore, 2 × 9 = 18.

To determine how many books Sally has, we need to understand that she has two times more books than Nancy. Nancy has a total of 9 books.

The equation we use here is:

Given Nancy's books = 9:

Therefore, Sally has 18 books.

Final answer:

To find the time it takes for two jets to be 9128 miles apart, calculate their combined speed and divide the total distance by this speed, resulting in approximately 14 hours.

Explanation:

To find the time taken for the jets to be 9128 miles apart:

Calculate the combined speed of the two jets by adding their speeds together: 377 mph + 275 mph = 652 mph.

Divide the total distance of 9128 miles by the combined speed of the jets to get the time taken: 9128 miles ÷ 652 mph ≈ 14 hours.

The length of cricket is longer than ladybug.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

Sandra used benchmark fractions to describe some insects she collected she said the ladybug is about 1/4 inch long and the cricket is about 2/3 inch long.

Here, The length of ladybug = 1/4 inch

And, The length of cricket = 2/3 inch

Now, By comparing we get;

⇒ 1/4 and 2/3

⇒ 3/12 and 8/12

⇒ 3/12 < 8/12

Hence, The length of cricket is longer than ladybug.

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Final answer:

The zeros of the equation -3x^4+27x^2+1200=0 are x = 16 and x = -25.

Explanation:

To find the zeros of the equation -3x^4+27x^2+1200=0, we can use the quadratic formula. Let's set our equation equal to zero:

-3x^4+27x^2+1200=0

Now, we can use the quadratic formula, which states that for an equation in the form ax^2+bx+c=0, the solutions are given by:

x = (-b ± sqrt(b^2-4ac))/(2a)

Applying this formula to our equation, we get:

x = (-27 ± sqrt(27^2-4(-3)(1200)))/(2(-3))

Simplifying further, we have:

x = (-27 ± sqrt(729+14400))/(-6)

x = (-27 ± sqrt(15129))/(-6)

x = (-27 ± 123)/(-6)

So the two solutions are:

x = (-27 + 123)/(-6) = 16

x = (-27 - 123)/(-6) = -25

Answer:

$300

Step-by-step explanation:

1.automobile​ insurance : ​$700 semiannual premium

Annual premium = $700×2=$1400

2.

Health​ insurance :$145 per month

Annual premium= $145×12=$1740

3. Life insurance: $450 annual

Total annual premium

$1400+$1740+$450=$3590

Hence his monthly expenses on premium =

[tex]\frac{3590}{12}[/tex]

=$299.16

=$300 Approximately

Answer:

10 carrots and 5 potatoes

Step-by-step explanation:

If 6 servings uses 4 carrots and 2 potatoes we can determine how many carrots and potatoes must be used per serving.

Lets look at the carrots:

[tex]=4/6=0.67[/tex]

Therefore for 15 servings:

[tex]=0.67×15=10.05≈10[/tex]

Lets look at potatoes:

[tex]=2/6=0.33[/tex]

Therefore for 15 servings:

[tex]=0.33×15=4.95≈[/tex]