julie will build a rectangular pen for her dog against a barn. A wall from the barn will from one side of the pen. She has 32m of fencing to form the other three sides. She plans to build the pen so that it has its maximum possible area. What will be the dimensions of julie's pen?

Answer:

q=171

Step-by-step explanation:

Hello there!

In this explanation k is constant and it means that q is some constant amount bigger than r.

q=kr

76=k×20

76÷20=k  

k= 3.8

q=3.8r

q=3.8×45

q=171

Answer: the answer is c

Step-by-step explanat

Answer:

[tex]x=2\text{ (or) }x=11[/tex]

Step-by-step explanation:

We have been given factors of a polynomial as [tex](x-2)[/tex] and [tex](x-11)[/tex]. We are asked to find the values of x that would make the polynomial equal to zero.

We will use zero product property of polynomials to solve our given problem. The zero product property of polynomials states that if any of two factors of a polynomial is zero, then their product will be equal to zero.

Upon equating our given factors to zero, we will get:

[tex](x-2)(x-11)=0[/tex]

[tex](x-2)=0\text{ (or) }(x-11)=0[/tex]

[tex]x-2=0\text{ (or) }x-11=0[/tex]

[tex]x-2+2=0+2\text{ (or) }x-11+11=0+11[/tex]

[tex]x=2\text{ (or) }x=11[/tex]

Therefore, [tex]x=2\text{ (or) }x=11[/tex] will make the polynomial equal to zero.

The equation of the line perpendicular to y = 3x -7 that passes through the point (6, 8) is Option D. y = -1/3x + 10. The slope of the perpendicular line is -1/3. Using point-slope form, we determine the final equation.

To find the equation of a line perpendicular to y = 3x - 7 that passes through the point (6, 8), we must determine the slope of the perpendicular line first.

The slope of the given line is 3. The slope of a line perpendicular to this one is the negative reciprocal of 3, which is -1/3.

We now use the point-slope form of the linear equation, which is:

y - y₁ = m(x - x₁)

Substitute m = -1/3 and the point (6, 8):

y - 8 = -1/3(x - 6)

Distribute -1/3:

y - 8 = -1/3x + 2

Add 8 to both sides:

y = -1/3x + 10

Thus, the equation is Option D. -1/3x + 10.

The total number of cups of juice that are left in the bottle are 8x.

Division is a process of splitting a number into two or more equal parts.

Given is that Olly drank 1/2 of a 16 fluid ounce bottle of juice.

Assume that 1 fluid ounce of bottle can fill {x} cups. So, we can write -

16 fluid ounce bottle of juice can fill {16x} cups.

So, 1/2 x 16 fluid ounce of juice will fill {1/2 x 16x} cups.

{1/2 x 16x} cups

8x cups

Therefore, the total number of cups of juice that are left in the bottle are 8x.

To solve more questions on division, visit the link below-

https://brainly.com/question/15381501

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Answer:

1,541

Step-by-step explanation:

To solve the equation -6/7m = -84, multiply both sides by the reciprocal of -6/7, which is -7/6. The solution is m = 98.

To solve the equation -6/7m = -84, we need to isolate the variable m on one side of the equation. We can do this by performing the inverse operation of what is currently being done to m. Since m is being divided by -6/7, we can multiply both sides of the equation by the reciprocal of -6/7, which is -7/6, to cancel out the division on the left side.

The steps to solve the equation are:

Multiply both sides of the equation by -7/6:

-7/6 *  (-6/7m) = -7/6 *  -84

The left side simplifies to m, and the right side becomes m = 98.

So, the solution to the equation is m = 98.

A diagram that shows the most useful positioning of a rectangle in the first quadrant of a coordinate plane is: D. diagram D.

In Mathematics and Euclidean Geometry, a quadrant is the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a coordinate plane or cartesian coordinate.

This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:

In this scenario, we can logically deduce that the coordianetes of this rectangle can be easily calculated by using diagram D;

Length, b = |b - 0| = b

Width, a = |0 - a| = a

Read more on quadrant here: brainly.com/question/2551599

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Answer:

Sydney’s pyramid will have a surface area that is greater than the original pyramid’s but not double the area because the slant height is not used when finding the area of the base.

Step-by-step explanation:

Final answer:

The quotient of 7,684 and 78 is 98 with a remainder of 60, determined through long division.

Explanation:

To determine the quotient of 7,684 and 78, follow these steps:

Set up the division problem using long division with 7,684 as the dividend and 78 as the divisor.

Divide 78 into the first two digits of the dividend (76), which does not go evenly. Move to the first three digits (768).

Divide 78 into 768 to begin finding the quotient. 78 goes into 768 approximately 9 times because 78 x 9 = 702.

Subtract 702 from 768 to get a remainder of 66 and bring down the next digit from the dividend, which is 4, forming 684.

Divide 78 into 684. It goes 8 times because 78 x 8 = 624.

Write 8 next to the 9 in the quotient to update the quotient to 98 and subtract 624 from 684 to get a new remainder of 60. Since there are no more digits to bring down from the dividend, 60 is the final remainder.

The quotient is 98 with a remainder of 60.

Final answer:

To determine the number of grams per serving of ice cream, use the formula y = x / 16, where x is the total number of grams in the container and y is the number of grams per serving.

Explanation:

To determine the number of grams per serving of ice cream, we can set up a formula using the variables x and y. Since the container has 16 servings of ice cream, the total number of grams in the container can be represented as 16y (16 servings multiplied by the number of grams per serving).

So, the formula to determine the number of grams per serving (y) is: y = x / 16

For example, if the total number of grams in the container (x) is 800g, then the number of grams per serving (y) would be 800g / 16 = 50g.

[tex] |\Omega|=52\\
|A|=\underbrace{26}_{\text{red}}+\underbrace{4}_{\text{king}}-\underbrace{2}_{\text{red king}}=28\\\\
P(A)=\dfrac{28}{52}=\dfrac{7}{13}\approx54\% [/tex]

Answer:

C) 7/13

Step-by-step explanation: