There are a total of 114 oak and pine trees on a piece of land. There are 26 fewer oak trees than pine trees. There is a regulation that the number of oak trees on this piece of land cannot exceed one-third of the total number of trees. Find how many oak and pine trees are on this piece of land and determine whether the solution is viable or nonviable.

A: There are 36 oak trees and 78 pine trees. The solution is nonviable.
B: There are 44 oak trees and 70 pine trees. The solution is viable.
C: There are 44 oak trees and 70 pine trees. The solution is nonviable.
D: There are 36 oak trees and 78 pine trees. The solution is viable.

Answer:

14.99d

Step-by-step explanation:

d represents the number of DVDs that Allie bought

Hope this helps! :)

Answer:

slope: [tex]\frac{1}{4}[/tex]    ||  y-intercept: 3.5

Step-by-step explanation:

[tex]-\frac{1}{2} x+2y = 7[/tex]

[tex]+2y = 7+ \frac{1}{2} x[/tex]

[tex]y = \frac{1}{4} x + 3.5[/tex]

comparing with y = mx + b .....where m is slope and b is y-intercept.

slope is [tex]\frac{1}{4}[/tex] and y-intercept is 3.5

Answer:

Not enough info.

Step-by-step explanation:

Parallelograms all have 2 equivalent side lengths. However, the rectangle is not the only parallelogram. A rectangle needs to have all right-angle corners (90 degrees).  You can see the small shape to the right of the drawing also has 2 equivalent side lengths but is not a rectangle.

Hope this helps.

Answer:

21

Step-by-step explanation:

dog = 35/85 = x/51

=> x = 35 x 51 / 85 = 7 x 51 / 17 = 21

Answer:

she is going to make 21 new dog cookies among 51 new cookies.

Step-by-step explanation:

Total cookies made → 35 + 14 + 36 = 85 cookies.

probability of making dog cookies: [tex]\frac{35}{85}[/tex]

so if new 51 cookies to be made,

among them dog cookies will be: [tex]\frac{35}{85}[/tex] * 51 = 21 dog cookies.

Answer:

-4u-3

Step-by-step explanation:

-4(u+1)+1

Step 1: Distribute

We need to distribute the -4 into (u+1)

To do this we multiply -4 with both u and 1.

-4 x u = -4u

-4 x 1 = -4

This gives us the remaining equation:

-4u-4+1

Step 2: Combine Like-Terms

We need to combine the like terms -4 and 1 since nothing can be combined with -4u as it has a variable and nothing else.

-4 + 1 = -3

Giving us our final simplified equation:

-4u-3

Are you asking for 20% of 60?

Because that would be 12.

Answer:

12

Step-by-step explanation:

20% of 60 can be written as 20% × 60

= 20/100 × 60

= 12

Answer:

225 calories

Step-by-step explanation:

As seen on the graph, where 1 minute passes by, 5 calories are already burned. So, the rate of change is 5. Being that someone is hiking for 45 minutes, you multiply 45 by 5 and get 225... hope this helps :)

Answer:

427.5

Step-by-step explanation:

(45 x 5) + (45 x 4.5) = 427.5

Answer:

1. < 1 and < 3 are supplementary, meaning that the sum of these two angle measures is equal to 180 degrees. They are also alternate interior angles.

2. < 1  and < 2 are congruent, meaning that the measures of both of these angles are the same and are equal. They are also corresponding angles.

Step-by-step explanation:

I hope this helps!

Answer:

Prisms have two congruent -- or identical -- bases, and pyramids only have one base. The shape of the base on pyramids and prisms can vary, depending on the shape of the overall three-dimensional object. For example, the base could have a square, rectangle, triangle, hexagon, pentagon or octagon shape.

Step-by-step explanation:

Answer:

Alike : POLYGONS

Alike : polyhedrons
Different : a pyramid has only one base.

Different : There are not the same shape

Step-by-step explanation:

Answer: 75 + 0.05x = phone plan cost

Step-by-step explanation:

Define the following:

x = number of minutes used

Since you pay $75 upfront at the beginning of each month we have 75 in the equation.

We are given that 5 cents are charged for every minute of use. That's in addition to the $75 paid already. Remember to put 5 cents as 0.05.

⇒ 75 + 0.05x = phone plan cost

[tex]18[/tex]

Last one is the correct answer

Answer:

C. 18

Step-by-step explanation:

3/2 × 2/3x = 3/2 × 12

x=3×6

x=18

Answer:

30cm^3

Step-by-step explanation:

Answer:

seventeen twenty ones

Step-by-step explanation:

2/3 - 4/7 + 15/21 = 17/21

Answer:

The maximum height it reaches after its first bounce is 70 percent of 200 feet or 140 feet. After the second bounce, it reaches a height of 70 percent of 140 feet or 98 feet. In a similar fashion, the ball continues to rebound to a height that is 70 percent of the highest point of the previous bounce.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given numbers:

Given equation:

Solve:

Volume is 105 in³.

Answer:

The volume of the rectangular prism is 105 in³.

Step-by-step explanation:

Simply count the blocks in the prism to calculate the volume.

7 x 5 x 3 = 105

7 x 5 = 35

35 x 3 = 105

Answer:

in a group of numbers (2,4,7,9,7,5,7,8,3)

The mean would be 5.2

The mode would be 7

The median would be 7

Explanation:

Say we have a group of numbers (2,4,7,9,7,5,7,8,3)

Lets start by finding the Median! *Remember, the median is the MIDDLE!

So, if the median is the middle, it would be 7.

Lets do the mode now. *Remember the mode is the one that happens the MOST!*

If we take a look at the numbers, we see that 7 occurs the most (it appears 3 times)

Our mode would be 7.

Lastly, lets do the mean. *You add and divide for the mean*

So, we start by adding all of the numbers together.

Basically, ( 2 + 4 + 7 + 9 + 7 + 5 + 7 + 8 + 3) you then get 52.

Next, we divide 52 by all the numbers that we added together (9)

And we get our mean: 5.2

Answer:

65/125

Step-by-step explanation:

because if 125 in total were sold that would be the denominator and a portion of them (65) were blueberry flavored then that would be the numerator.  (portion/total)

Answer:

65 / 125, or 65:125 in ratio form.

Step-by-step explanation:

The total number of cotton candy sticks was 125, and the number of blueberry-flavored sticks sold was 65. Therefore, the division expression for this equation is 65/125. Hope that helps!

Answer:

x=6

Step-by-step explanation:

2(3x-4)=28 is the formula.
Divide each side by 2 to get 3x-4=14

Subtract 4 on each side to get 3x=18
Then divide by 3 on each side to get the answer
x=6

The width of Saul's garden bed of rectangle form will be 6 feet.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

The perimeter of the rectangle = 2( length + width).

As per the given,

Perimeter = 2(L + W) = 28 feet

The length of the garden bed will be 4 less than twice the width.

L = 2W - 4

2(2W - 4 + W) = 28

3W - 4 = 14

3W = 18

W = 6 feet

Hence "The width of Saul's garden bed of rectangle form will be 6 feet".

For more about rectangles,

https://brainly.com/question/15019502

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Answer:

y = 18 when x = 12

Step-by-step explanation:

Answer:

Part A: 4x is the expression you would use. The variable "x" represents the number of deserts she would make.

Part B: 4x=24 is the equation you would use.

4x=24

Step 1 is to divide 4 on both sides. 4x/4 is x and 24/4 is 6. The new equation is x=6

Heather can make 6 deserts.

Step-by-step explanation:

Trust me!!! Have a nice day.

A) an expression with a variable that represents the amount of strawberries Heather needs for the desserts is,

⇒ 4x

B) There are 6 dessert she can make.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Heather is planning a dessert display.

And, She needs 4 ounces of strawberries for each dessert.

Let x represent number of dessert.

Hence, an expression with a variable that represents the amount of strawberries Heather needs for the desserts is,

⇒ 4x

And, If Heather has 24 ounces of strawberries

Then, Number of desserts is.

4x = 24

x = 6

Thus,

A) an expression with a variable that represents the amount of strawberries Heather needs for the desserts is,

⇒ 4x

B) There are 6 dessert she can make.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Answer:

The answer is B

Step-by-step explanation:

Not really sure how to explain it but i know its right because i had this question at my old school <3

Answer:

1) The Output is 4 more that the Input

2) Input/3 Get you the answer

Step-by-step explanation:

Look at the similarities is the inputs and outputs

Answer:

the first one is +4 i am not sure on the second one

Step-by-step explanation:

add 4 to the input.

Answer:

$180

Step-by-step explanation:

Since the discount is 40 percent and is also $72, We will cross multiply. 72 x 100 = 40 x what?

7200/40 = 180

The mirror was originally $180.