Why do plants produce bright, colorful flowers and structures designed to disperse their seeds?

The number of pencils  she can  buy while staying in her price range is from 12 to 18 pencils

let x represent  the number of pencils she can buy .

First step is to calculate the Total cost

Total cost=2($3.25) + x($0.75)

Total cost=$6.50 + $0.75x

Second step is to write the inequality

Inequality=15 ≤ 6.50 + 0.75p ≤ 20

Third step is to substract $6.50

8.50 ≤ 0.75p ≤ 13.50

Fourth step is to divide each  by 0.75

8.50/0.75=11.33

13.50/0.75=18

11.33 ≤ x ≤ 18

Therefore   The number of pencils  she can  buy while staying in her price range is  from  12 to 18 pencils

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Answer:

its 2/5 i took the test

Step-by-step explanation:

The Triangle Inequality Theorem dictates that the impossible distance from town A to town C, given the distances from A to B (5 miles) and B to C (4 miles), is (E) 10 miles because it exceeds the sum of the other two sides.

The question pertains to the Triangle Inequality Theorem, which in the context given, states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. Here we have two sides measured as 5 miles (from town A to town B) and 4 miles (from town B to town C).

To identify which distance could not be from town A to town C, we recognize that the third side must be less than the sum of the other two sides (5 miles + 4 miles = 9 miles), but also greater than the absolute difference between those two sides (5 miles - 4 miles = 1 mile). Therefore, the only impossible distance for the third side, based on the options provided, is 10 miles, as it exceeds the sum of the other two sides.

Options A (1 mile), B (4 miles), C (8 miles), and D (9 miles) all satisfy the Triangle Inequality Theorem and could represent the distance from town A to town C. Hence, the answer is E (10 miles).

Answer:

Yes, there is a proportional relation.

Step-by-step explanation:

Given,

Ounces of flour for 8 ounces of milk = 15,

So, the ounces for 1 ounces of milk = [tex]\frac{15}{8}[/tex]

Let y be the ounces of flour for x ounces of milk,

∵ The ounces for x ounces of milk = [tex]\frac{15}{8}x[/tex]

[tex]\implies y = \frac{15}{8}x-----(1)[/tex]

Which is the required relation,

Since,

[tex]0=\frac{15}{8}(0)[/tex] ( True )

I.e. line [tex]y=\frac{15}{8}x[/tex] passes through the origin,

Hence, the relationship (1) is proportional.

slopes of two parallel lines are equal

from the equation y=3x-1, slope =3

using slope m=3 and point (-1,3) , we find the y intercept

y=mx+b

3=3(-1) +b

b=6

plugging m=3 and b=6 in slope intercept form to get the equation

y=3x+6

Final answer:

The difference between a linear equation in one variable and in two variables lies in the number of variables and their graphical representation: a linear equation in one variable like 'x + 5 = 0' represents a point on the x-axis, while a linear equation in two variables like 'y = 2x + 3' represents a straight line on a plane.

Explanation:

Difference between a Linear Equation in One Variable and Two Variables

The main difference between a linear equation in one variable and a linear equation in two variables is the number of variables involved and how they can be graphically represented. A linear equation with one variable can be written in the form ax + b = 0, where a and b are constants, and x is the variable. This equation represents a single straight line in a two-dimensional space, where all points on the line have the same x-coordinate. For example, x + 5 = 0 is the equation of a vertical line represented by the point where x is -5.

On the other hand, a linear equation in two variables typically has the form y = mx + b, which represents a line in two-dimensional space where m is the slope of the line and b is the y-intercept. Here, x is the independent variable and y is the dependent variable. As x changes, y changes in a way that the relationship between them remains constant, making the graph a straight line. For example, y = 2x + 3 is an equation of a line with a slope of 2 and a y-intercept of 3.

When comparing the two types of equations, it's clear that linear equations in two variables can represent a broader range of relationships between two quantities, allowing for a visual representation of the relationship as a slope on a graph.

The value of 'x' in the solution to the following system of equations is -1 and this can be determined by using the arithmetic operations.

Given :

The following steps can be used in order to determine the value of x:

Step 1 - The arithmetic operations can be used in order to determine the value of 'x'.

Step 2 - Write the given system of equations.

x - y = -3   --- (1)

x + 3y = 5  --- (2)

Step 3 - Simplify the equation (1).

x = y - 3  --- (3)

Step 4 - Substitute the value of 'x' in equation (2).

y - 3 + 3y = 5

4y = 8

y = 2

Step 5 - Substitute the value of 'y' in equation (3).

x = 2 - 3

x = -1

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Final answer:

The radius of the world's largest pizza with a circumference of 215 feet, using an approximation for pi of 3.14, is approximately 34.2 feet when rounded to the nearest tenth.

Explanation:

To find the radius of the world's largest pizza given its circumference of 215 feet, we use the formula for the circumference of a circle: C = 2πr, where C is the circumference, π (pi) is approximately 3.14, and r is the radius. We rearrange this formula to solve for the radius: r = C / (2π).

Substituting the given values into this equation, we get:

r = 215 feet / (2 × 3.14)

r = 215 / 6.28

r = 34.2356688 feet

Rounding to the nearest tenth gives us:

r ≈ 34.2 feet

Answer: Tom

Step-by-step explanation:

time = distance / speed

Samma : 200/25.98 = 7.70 meters per second

Tom : 100 / 12.54 = 7.97 meters per second

so the faster runner is Tom

Taylor has 6 stickers, as Jessica's 48 stickers are 8 times Taylor's amount. Also, after certain actions, we can conclude that Jenny initially had 14 chocolates.

Jessica has 48 stickers, which is 8 times as many stickers as Taylor has. To find out how many stickers Taylor has, we need to divide the number of Jessica's stickers by 8:

Therefore, Taylor has 6 stickers.

In a similar problem, Jenny has some chocolates. After eating two chocolates and giving half of the remainder to Lisa, Lisa ends up with 6 chocolates. To determine the number of chocolates Jenny started with, we multiply the number Lisa received (6) by 2 and then add the 2 chocolates Jenny ate:

Hence, Jenny initially had 14 chocolates.