Antoinette needs to solve this system of equations by graphing. Which statements explain how she should graph
equations? Check all that apply.
2x-7y=56
y=-2.5x+4
She should rewrite both equations in slope-intercept form.
She should rewrite the first equation in slope-intercept form.
She should find that the second equation has a slope of 4.
When rewriting the first equation, she should subtract 2x from each side of the equation to get -7y by itself.
After rewriting the first equation in slope-intercept form, she should find that both lines have negative slopes.

SOLUTION:

We are to choose between a Cheez-it's that cover a rectangle with;

(i) A length of 9 and a perimeter of 22,

(ii) A length of 5 and a perimeter of 20.

The prefer one would be the one with a greater area.

The area of this rectangle is;

The area of this rectangle is;

CONCLUSION:

Since the area of a rectangle of length of 5 and a perimeter of 20 is greater than that of a length of 9 and a perimeter of 22.

The preferred is the Cheez-it's that covers a rectangle of a length of 5 and a perimeter of 22.

The rate of change for the equation y - x = 10 is 1.

To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.

We can rewrite the equation as y = x + 10 by adding x to both sides.

Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.

In other words, as x increases by 1 unit, y will increase by 1 unit as well.

As a result, 1 represents the rate of change for the equation y - x = 10.

for such more question on rate of change

https://brainly.com/question/22455842

#SPJ8

The value of the expression - (- 18) is not the same as negative 18.

When two equal or dissimilar signs are used in an operation, the law or sign rule specifies which sign wins.

Addition and subtraction sign rules

A positive sign will be included in the outcome when two positive integers are added. 3 + 5 = 8

The outcome will bear the sign of the larger number when two numbers with opposite signs—one positive and the other negative—are added or subtracted. 5 - 6 = - 1

The outcome will bear the sign of the larger number when two numbers with opposite signs—one negative and the other positive—are added or subtracted. - 7 + 4 = - 3

By subtracting two negative integers, the outcome will also be negative.

- 5 - 4 = - 9

For the expression - (- 18) using the sign conventions.

Negative time negative becomes a positive.

That is, - (- 18) = + 18.

Hence, the value of the expression - (- 18) is not the same as negative 18.

Learn more about algebraic expressions here:

https://brainly.com/question/28884894

#SPJ1

Total distance of the triathlon race is 23.34 kilometers.

Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

The total distance of the race is 23.34 kilometers.

Reg enters a triathlon race.

He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km

Total distance = 23.34 km.

The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.

Learn more about distance click here:

https://brainly.com/question/26550516

#SPJ11

Answer: A

Step-by-step explanation: 10x10=100

The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

Learn more about Linear programming:

https://brainly.com/question/14309521

#SPJ11

To convert this to minutes, we can multiply by 60 to get the answer in minutes: 2/15 hour (60 minutes/hour) = 8 minutes. It takes 8 minutes to complete one task.

If you can accomplish 5 tasks in 2/3 hour, the time for each task can be calculated by dividing the total time by the number of tasks. In this case, one task takes 2/15 hour or 8 minutes. This means that it takes 8 minutes to complete each task if you work at the same pace throughout. Knowing the time required for a single task can help in planning, scheduling, and meeting deadlines for similar tasks.

Learn more about arithmetic here: brainly.com/question/11559160

#SPJ4

Complete question:

How long does it take to do 1 task if you do 5 tasks in 2/3 hour?

Answer:

D=M/V

Step-by-step explanation:

Answer:5

Step-by-step explanation:

2x=10

10÷2= 5

x=5

Answer:

X = 5

Step-by-step explanation:

2x means x plus itself. if x + x is 10, what number fits that description?

5!

2.5 = 10, so X = 5

Measure of angle:

∠A  = 36.86°

∠B = 90°

∠C = 53.13 °

Measure of side ,

AB =  28

BC = 21

CA = 35

Given triangle ABC.

Right angled at B.

Now, using trigonometric ratios to find angle A , B , C .

Right angled at B : ∠B = 90°

Angle A,

SinA = 21/35

∠A = 36.86

Angle C,

SinC = 28/35

∠C = 53.13

Now measures of side.

To find the length of side use sine rule .

Sine rule:

a/sinA = b/sinB = c /sinC

a = opposite side of angle A .

b = opposite site of angle B .

c = opposite side of angle C.

AB = 28

BC = 21

CA = 35

Hence the sides and angles of the triangles are measured .

Know more about sine rule,

https://brainly.com/question/30339239

#SPJ1

The best prediction for the number of times it will not land on pink can be expressed as (6(n-1))/n.

If the spinner is fair and each outcome is equally likely, we can make the best prediction for the number of times it will not land on pink by considering the probability of not landing on pink in a single spin.

Let's assume there are n possible outcomes on the spinner, including the pink section. Since each outcome is equally likely, the probability of landing on pink in a single spin is p = 1/n.

Therefore, the probability of not landing on pink in a single spin is 1 - p = (n-1)/n.

To predict the number of times it will not land on pink when spinning the spinner 6 times, we multiply the probability of not landing on pink in a single spin by the number of spins. Thus, the best prediction for the number of times it will not land on pink is (n-1)/n multiplied by 6.

Without further information about the number of possible outcomes on the spinner, we cannot provide a specific numerical prediction. However, based on the assumption of a fair spinner, the best prediction for the number of times it will not land on pink can be expressed as (6(n-1))/n.

For more such answers on probability

https://brainly.com/question/25870256

#SPJ11

Three non-isomorphic simple graphs with three vertices are given in the figure below.

The first is a complete graph, in which all three vertices are connected to each other. It is represented by a triangle shape.

The second graph is a graph with one vertex connected to the other two, it is represented by a line with two branches.

The third graph is a graph with no edges, it is represented by three isolated points.

Remember that two graphs are isomorphic if one can be transformed into the other by relabeling the vertices. It's important to note that these are the only three possible non-isomorphic simple graphs with three vertices.

Read more about Simple graphs :

https://brainly.com/question/13203263

#SPJ4

Answer: 94

Step-by-step explanation:

The area of each of the top and bottom face is \((4)(6)-(2)(2)=20\).

The area of each of the side faces is 12.

The area of each of the faces facing out is 6.

The area of each of the 3 'inner' faces is also 6.

Adding these together,

\(20(2)+12(2)+6(2)+6(3)=94\)

Answer:

2m= 8-6m

2m+6m+=8-6m+6m let me know if this helps

Step-by-step explanation:

The percentage to be assigned for year 3 in a trend analysis is 120%.

We need to know about the percent theory first, the percent number is per 100. It can be determined by this formula

Percentage = Last Value / Base Value x 100%

From the question above, we know that :

Base Value = 750

Last Value = 900

Find the increasing percentage by substituting the parameter

Percentage = Last Value / Base Value x 100%

Percentage = 900 / 750 x 100%

Percentage = 120%

Hence, the percentage to be assigned for year 3 in a trend analysis is 120%.

Find more on percentages at: https://brainly.com/question/843074

#SPJ4

Answer:

Step-by-step explanation:

The time at which the planes are at the same height is given as 6 minutes.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The expression for the height of the two airplanes in terms of time t is given as,

For the first airplane it is 35400 - 3300t,

And, for the second it is 2600t.

When, the two airplanes are at the same height the following equation can be written,

35400 - 3300t = 2600t

=> 35400 = 3300t + 2600t

=> 5900t = 35400

=> t = 6

Hence, both the planes are at the same height after 6 minutes.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ1

Answer:

the pattern is going by 3s and u would multiply 3 by each number

The length and width of the rectangle are 12.5 cm and 22 cm, respectively.

Let L be the length of the rectangle, and W be the width of the rectangle, then we have that:

L x W = 297 sq cm 1.

If the length is increased by 3 cm and width decreased by 1 cm, then we have that:

(L + 3) x (W - 1) = 297 + 3 sq cm -......(2).

Expand equation 2, we have:

LW + 2L - W = 300 sq cm-.......(3)

We have two equations from 1 and 3:

LW = 297 sq cm         LW + 2L - W = 300 sq cm 3.

Substitute equation 1 into equation 3.

297 + 2L - W = 300 sq cm

2L - W = 3 sq cm  

2L - W = 3 sq cm

2L = W + 3 sq cm

L = (W + 3)/2 sq cm

W x (W + 3)/2 = 297 sq cm

W² + 3W - 594 = 0 (W + 27) (W - 22) = 0

Therefore, the width of the rectangle is either 22 cm or -27 cm. Since the width cannot be negative, we discard the value of -27 cm. Therefore, the width of the rectangle is 22 cm. Finally, let's calculate the length of the rectangle:

L = (W + 3)/2 sq cm L = (22 + 3)/2 sq cm L = 25/2 sq cm L = 12.5 sq cm

Therefore, the length and width of the rectangle are 12.5 cm and 22 cm, respectively.

To learn more about length and width of rectangle refer :

https://brainly.com/question/12298654

#SPJ11

Answer:

speed is 35 I think it is answer

solution

here,

15÷2

7.5

The values of a, b, c are 152°, 28°, 152° respectively.

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.

The sum of angles at a point will give 360°.

This means that a + b + c + 28 = 360

c +28 = 180° ( angle on a straight line)

c = 180 -28

c = 152°

c = a( alternate angles are equal)

therefore the value of a = 152°

b = 28( alternate angles are equal)

therefore the value of b is 28

therefore the values of a, b, c are 152°, 28°, 152° respectively

learn more about angle at a point from

https://brainly.com/question/25716982

#SPJ1

a) The possible sequences of Y and N are YY ,YN ,NY ,NN. b) The probability for each sequence:

P(YY) = P(Y) * P(Y) = 0.58 * 0.58 = 0.3364

P(YN) = P(Y) * P(N) = 0.58 * 0.42 = 0.2436

P(NY) = P(N) * P(Y) = 0.42 * 0.58 = 0.2436

P(NN) = P(N) * P(N) = 0.42 * 0.42 = 0.1764

c) The probability that neither of the two randomly selected high school seniors has texted (NN) is given by P(NN) = 0.1764.d) P(exactly one has texted) = P(YN) + P(NY) = 0.2436 + 0.2436 = 0.4872e)The probability that both seniors have texted (YY) is given by P(YY) = 0.3364.

a. If we randomly sample two high school seniors of driving age and record Y if a senior has texted while driving and N if not, the possible sequences of Y and N are:

YY ,YN ,NY ,NN

b. Assuming each outcome is independent, we can calculate the probability for each sequence:

P(YY) = P(Y) * P(Y) = 0.58 * 0.58 = 0.3364

P(YN) = P(Y) * P(N) = 0.58 * 0.42 = 0.2436

P(NY) = P(N) * P(Y) = 0.42 * 0.58 = 0.2436

P(NN) = P(N) * P(N) = 0.42 * 0.42 = 0.1764

c. The probability that neither of the two randomly selected high school seniors has texted (NN) is given by P(NN) = 0.1764.

d. The probability that exactly one out of the two seniors has texted can occur in two ways: YN or NY. So, the probability is the sum of these two probabilities:

P(exactly one has texted) = P(YN) + P(NY) = 0.2436 + 0.2436 = 0.4872

e. The probability that both seniors have texted (YY) is given by P(YY) = 0.3364.

For more about probability:

brainly.com/question/31828911

#SPJ4

Answer:

-1.2 or -1 1/5

Step-by-step explanation:

The third quartile is 9.5

The median is 6.5

The interquartile is 6

Step A:

To calculate the third quartile, it is essential to arrange the data set in ascending order first: from 1 to 12.

Then the third quartile (Q3) can be calculated by taking the average of the 9th and 10th numbers which is 9.5.

The answer for Step A should be d, which is 9.5.

Step B:

The median is located at the midpoint of the number combination 6 and 7; that is, 6.5.

Therefore, Option c, 6.5, is the right response for step B.

Step C:

The interquartile range (IQR) computes the distance between the third quartile (Q3) and the first quartile (Q1),

Q3 = 9.5 and

the first quartile (Q1) is (3 + 4)/2 = 3.5

IQR = 9.5 - 3.5 = 6

Learn more about third quartile at

https://brainly.com/question/3685736

#SPJ1

Answer:

  6 servings

Step-by-step explanation:

To find the number of servings, divide the total amount by the quantity per serving.

You can compute this using a calculator:

  5.333/0.875 ≈ 6.095 ≈ 6 servings

__

Or, you can do the mixed-number math:

  (5 1/3)/(7/8) = (16/3)(8/7) = 128/21 = 6 2/21 ≈ 6

There were 6 servings in the container.

Answer:

6

Step-by-step explanation:

6 is the answer.

Answer:

7/2

Step-by-step explanation:

you add the 6+1 it equal to 7 and you now have 1/2•7

now you multiply 1•7 now you have 7/2

The calculated value of the side length in the triangle is 144

From the question, we have the following parameters that can be used in our computation:

The simiar triangles

Using the theorem of corresponding sides, we hav

GH = 2JK

So, we have

10x - 36 = 2 * 4x

Multiply

So, we have

10x - 36 = 8x

Evaluate

2x = 36

So, we have

x = 18

This means that

GK = 4 * 18

GK = 144

Hence, the indicated side length in the triangle is 144

Read more about triangle at

brainly.com/question/14285697

#SPJ1

The location of earths center relative to a great circle defined by a pair of widely spaced flagpoles on earths surface is:

directly beneath the great circle defined by the two flagpoles.

The great circle defined by two flagpoles on the Earth's surface is a line that bisects the sphere of the Earth into two equal parts. This line passes directly through the center of the Earth, so the center of the Earth is located directly beneath the great circle.

The Earth is a three-dimensional object, so if two points on its surface are connected with a line, that line must pass directly through the center of the Earth.

This line is called a great circle because it is the largest possible circle that can be drawn on the surface of the Earth. The great circle formed by two widely spaced flagpoles on the Earth's surface serves as a reference point for determining the exact location of the Earth's center relative to the surface.

Learn more about earths surface:

brainly.com/question/9382932

#SPJ4

As a result, the width of the confidence interval will rise as the sample size is reduced.

An area created using fixed-size samples of data from a population (sample space) that follows a particular probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability.

Given,

What causes a confidence interval's width to grow?

The confidence interval widens as the confidence level does. The only option to get more accurate population estimates, assuming the confidence level is fixed, is to reduce sampling error. The standard error statistic assesses sampling error.

When sample size is reduced, what happens to the width of the confidence interval?

As a result, the width of the confidence interval will rise as the sample size is reduced.

To learn more about confidence interval, visit:

https://brainly.com/question/24131141

#SPJ4