Farmer Hank has fewer than 100 pigs on his farm. If he groups five to a pen, there are always three pigs left over. If he groups the pigs seven to a pen, there is always one left over. However, if he groups the pigs three to a pen, there no pigs left. What is the greatest number of pigs that Farmer Hank could have on his farm?

Answer:

B

Step-by-step explanation:

sin26° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → B

The equation that should be solved in order to find x is [tex]sin\ 26^\circ =\frac{x}{10}[/tex]. The correct option is C. [tex]sin\ 26^\circ =\frac{x}{10}[/tex]

From the question, we are to determine which equation should one solve to find x

Considering the right triangle in the diagram,

Opposite = x

Adjacent = 9

Hypotenuse = 10  

By SOH CAH TOA

We have that

[tex]sin\theta = \frac{opposite}{hypotenuse}[/tex]

Where θ is the angle

Then, we can write that

[tex]sin\ 26^\circ =\frac{x}{10}[/tex]

This is the equation that should be solved in order to find x

Hence, the equation that should be solved in order to find x is [tex]sin\ 26^\circ =\frac{x}{10}[/tex]. The correct option is C. [tex]sin\ 26^\circ =\frac{x}{10}[/tex]

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Answer:

A. can trace a particular file in a few seconds.

Step-by-step explanation:

The new locator has now easy access and user friendly. The data saved here is useful when you are locating a file. It will take few seconds to locate a file. This saves time in finding the relevant files. The new locator is user friendly and is not really technical to operate it.

Answer: 1 hand = 0.22... cubits.

Step-by-step explanation:

We want to write the relation between hands and cubits.

We know that there are 9 hands in 2 cubits.

So we can write:

9 hands  = 2 cubits.

Now, we want to have an unit in the left side (so we can see how many cubits are equal to exactly one hand).

Then we can divide by 9 in both sides of the equality.

(9 hands)/9 = (2 cubits)/9

1 hand = 0.22... cubits.

Answer:

22.5 hands = 3 paces

Step-by-step explanation:

Nobody answered b yet again.

Answer:

a kite

Step-by-step explanation:

Yes, you can form a kite.  The top two would be 2 units, and the bottom two would be 4 units.  It would still have two of each, just like the rectangle, but would be a different quadrilateral.  

Alternately, you could turn the rectangle into a parallelogram by leaning it.  Rectangles have 90 degree angles, so it wouldn't be a rectangle anymore.

Answer: Each piece would be 3/4 feet long

Step-by-step explanation:

If the piece of  lumber is 2 1/4 ft long, and it is cut into 3 pieces then divide

2 1/4 by 3 to find out how long each piece of cut wood would be.

2 1/4  is the same as 9/4

[tex]\frac{9}{4} / \frac{3}{1}[/tex] = 9/12  which also simplifies to  3/4

Answer:

Felipe is "F" years old, Felipe's sister is 6 years younger then Felipe, Felipe's mom is times minus 6

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

10x-4+x-14=180

11x-18=180

11x=180+18

11x=198

x=[tex]\frac{198}{11}[/tex]

x=18

Answer:

x = 18

Step-by-step explanation:

(10x -4) + (x-14) = 180 (for linear pair)

<=> 10x + x - 4 - 14 = 180

<=> 11x - 18 = 180

<=> 11x = 180+18 = 18 . 10 + 18 = 18 . 11

<=> x = 18

Answer:

Equation 2 is correct

Step-by-step explanation:

Equation 1 is 2, not 1.5

Answer: C and D

Step-by-step explanation:

The value of c in the first one is less then the value of the second one. Also equation 1 equals -11 and equation 2 equals 1 so that’s why it’s c and d.

Answer:

x - 98

Step-by-step explanation:

Given the question :

A stocks value decreased by 7 points each day for 2 weeks. Which numeric expression can be used to find out what the stock value was after the 2 weeks?

Let the initial value of the stock = s

Rate of decrease = 7 points per day

Number of days in a week = 7

Hence, 2 weeks = ( 2 * 7) = 14 days

Total decrease in stock over the 2 weeks period :

(Decrease per day × number of days)

(7 points × 14) = 98 points

Stock value after 2 weeks :

(Initial stock value - decrease in stock over the 2 weeks period)

= x - 98

Answer:

7/25 im pretty sure sure

Answer:

1

Step-by-step explanation:

4(-x+4)=12

first is to open the bracket giving u

-4x+16=12

since 16 is adding where it is when takrn to the other side it will be subtracting giving u

-4x=12-16

-4x=-4

x= -4/-4

x=1

Answer:

8 hats

Step-by-step explanation:

1. .50 x 24.98

2. 12.49 x 8

3. solve 12.49 x 8

4. Equals 99.92

Hope this helps you an stay safe:)

Answer: I think the answer is 1250.

Step-by-step explanation:

I did 200 divided by 4 which is 50. I then multiplied 50 * 25 and got 1250.

Answer:

(-6,8)

Step-by-step explanation:

By reading the question you can determine that point E is to the east, or the right, of point F by 9 units. This ultimately means you must subtract 9 units on the horizontal (x-axis) in order to get to point F.

Answer:

[tex]x=-4<x<2[/tex]

Step-by-step explanation:

[tex]-1<x+3<5[/tex]

This inequality consists of 3 parts.

To solve this inequality, you will have to add -3 in each part of the inequality.

[tex]1+-3<x+3+-3<5+-3[/tex]

The answer to this is:

[tex]-4<x<2[/tex]

So that means x is equal to

[tex]x=-4<x<2[/tex]

Hope this helps!

Answer: 17.8

Step-by-step explanation:

The solution to the proportion would be x = 17.8 which is the correct option (B).

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been the given proportion as:

⇒ 52 : x = 9.5 : 3.25

⇒ 52/x = 9.5/3.25

⇒ 52/x = 2.923

Cross multiplication, and we get

⇒ x = 52/2.923

Apply the division operation,

⇒ x = 17.8

Therefore, the solution to the proportion would be x = 17.8.

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Answer:

270 + 63 = 333

Step-by-step explanation:

If you did it in your head, it would look like this:

9(30) + 9(7)

270 + 63 = 333

Answer:

C. 8 units to the right and 5 units down

Step-by-step explanation:

Because if we move the trapezoidal to the right 8 times, then 5 units down. It becomes the image need it needs to be.

I hope this helps! I'm sorry if it's wrong.

Answer:

Step-by-step explanation:

The mass of a substance when given the density and volume can be found by using the formula

From the question

Density = 0.789 g/mL

volume = 200 mL

Substitute the values into the above formula and solve for the mass

That's

mass = 0.789 × 200

We have the final answer as

Hope this helps you

Answer:

EF = [tex]\sqrt{34}[/tex] ≈ 5.83

Step-by-step explanation:

Calculate EF using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)

EF = [tex]\sqrt{(-2-1)^2+(8-3)^2}[/tex]

    = [tex]\sqrt{(-3)^2+5^2}[/tex]

    = [tex]\sqrt{9+25}[/tex]

    = [tex]\sqrt{34}[/tex] ≈ 5.83 ( to 2 dec. places )

Answer:

3.1% increase

Step-by-step explanation:

Diameter1=25cm

Radius1=12.5cm

Circumference1=2x22/7x12.5

Diameter2=25.8cm

Radius2=12.9cm

Circumference2=2x22/7x12.9

% increase =Circumference2-Circumference1/Circumference2 x 100%= 2x22/7x12.9-2x22/7x12.5 / 2x22/7x12.9 x100%

12.9-12.5/12.9 x 100%

0.4/12.9 x 100%

4/129 x 100%

3.1%

Step-by-step explanation:

divide 32 by 1.83 to get the answer

the answer is 17.4863387978

round it off

the final answer should be:

17.5 cents

The price per ounce is approximately 5.72 cents per ounce.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

A 32-ounce soft drink costs $1.83.

So,

32 ounce ⇒  $1.83

Divide by 32 into both sides

1 ounce ⇒ 1.83/32

1 ounce ⇒ $0.0571875 = 5.72 cents.

Hence"The price per ounce is approximately 5.72 cents per ounce".

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Answer:

24

Step-by-step explanation:

4(6)=24

Answer:

12 + (-4) = 8

Step-by-step explanation:

12 + (-4) = 8

12 + (4) = 16?

Answer:

8

Step-by-step explanation:

You remove the plus sign when you have both a negative and positive sign.

Now you are left with 12-4 which equals 8.

Hope that helped

Answer:

The absolute values of Q and R are the same

Step-by-step explanation:

Hope this helps! I had the same question lol

The absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that:

A number line is shown in the picture.

From the number line:

= 4/2=2

The absolute values of Q and R are the same.

Thus, the absolute values of Q and R are the same option (B) is correct after applying the arithmetic operation.

Use the number line to determine which of the following statements is true. Each tick is 1 unit.

The quotient of P and S is positive.

The product of R and S is negative.

The absolute values of Q and R are the same.

Q and S are opposite numbers.

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Answer:

[tex]fg {x}^{2} [/tex]

Step-by-step explanation:

f(x) × g(x)

[tex]fg {x}^{2} [/tex]

it is not easy to explain but i hope u like it ‍❤️‍‍❤️‍‍❤️‍

For any question comment me

Answer:

Add a positive integer by moving to the right on the number line.

Subtract an integer by adding its opposite.

Step-by-step explanation:

Step-by-step explanation:

1, Add a positive integer by moving to the right on the number line.

2, Add a negative integer by moving to the left on the number line.

3, Subtract an integer by adding its opposite.

Answer:

1) x= - 8

2) x = 10

3) x= 5/7