Greg calculated that he has to drive at least 50 miles per hour on the highway to get to his destination on time. What number line shows the solution set to this inequality

Answers

Answer 1

The number line which best conveys Gregg's situation is B.

line B is the answer and the image is attached,

Since Greg has calculated that his least or minimum speed should be 50 miles per hour ,

Then the line starts at 50 with the starting point shaded due to the at least notation.

Then at least means that,

Gregg may need to travel at a higher speed than 50, so the direction of the arrow moves to the right of the number line depicting a possible increase in Gregg's speed.

Therefore, the number line which best conveys Gregg's situation is B.

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Greg Calculated That He Has To Drive At Least 50 Miles Per Hour On The Highway To Get To His Destination

Related Questions

1/2 x 2 please show your work .

Answers

The solution of an expression 1/2 x 2 is 1.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

We have an expression 1/2 x 2.

We will apply the inverse property of multiplication.

= any number x its reciprocal

= 2 x 1/2

= 1

Therefore, 1 is the solution.

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Can someone help me find the missing angle measurements?

Answers

Subtract the given angle from 180° and the missing angle measurements is 42°.

What is meant by angle ?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.A pair of rays (half-lines) with a shared terminal are combined to form an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.

A+B+C=180°

57°+81°+C°=180°

138°+C=180°

C=138°-180°

C=42°.

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an online company sells and ships T-shirts. The company has to pay extra to ship a package that weighs over 13 oz. Before putting any T-shirts in the box, the package weighs 1.5 oz. Each shirt weighs 5 oz. Which number line best represents the possible number of shirts the company can ship in a package without playing extra for shipping?

Answers

The number line inequality that best represents the possible number of shirts the company can ship in a package without playing extra for shipping is given by the image presented at the end of the answer.

How to solve the inequality?

Before putting any T-shirts in the box, the package weighs 1.5 oz. Each shirt weighs 5 oz, hence the total weight function for x shirts is given as follows:

y = 1.5 + 5x.

The maximum weight without needing to pay extra is of 13 ounces, hence the inequality is given as follows:

5x + 1.5 <= 13

x <= 11.5/5

x <= 2.3.

Which can be simplified as:

x <= 2.

(as the number of shirts is a countable amount).

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Brown's Tree Farm Company is going to plant pine trees and birch trees this planting season. On Farm A, the land type allows for them to plant 25 pine trees per acre and 75 birch trees per acre. On Farm B, the land type allows for them to plant 50 pine trees per acre and 75 birch trees per acre. There are a total of 200 pine trees and 450 birch trees available for planting.

1. Write and solve a system of equations to determine how many of each tree the company will plant on each farm.

Answers

Let x be the number of acres of Farm A planted with pine trees and birch trees, and let y be the number of acres of Farm B planted with pine trees and birch trees.

The system of equations would be as follows:

25x + 50y = 200 (the total number of pine trees planted)

75x + 75y = 450 (the total number of birch trees planted)

To solve this system of equations, we can use the method of substitution. Solving the first equation for x in terms of y:

x = (200 - 50y) / 25

We can substitute this expression for x into the second equation:

75((200 - 50y) / 25) + 75y = 450

Simplifying and solving for y:

(200 - 50y) + 75y = 450

25y = 250

y = 10

So 10 acres of Farm B are planted with pine and birch trees. To find the number of acres of Farm A that are planted with pine and birch trees, we can substitute this value of y back into the first equation:

25x + 50(10) = 200

25x = 50

x = 2

So 2 acres of Farm A are planted with pine and birch trees.

Therefore, the company will plant 25x = 50 pine trees and 75x = 225 birch trees on Farm A, and 50y = 500 pine trees and 75y = 750 birch trees on Farm B.

Paul won a race with a time of 71. 3 seconds.

This time, t, is to the nearest tenth of a second.


Complete the error interval due to rounding.


____________________ ≤ t < ____________________

Answers

The error interval due to rounding:

71.25 ≤ t < 71.35

Now, According to the question:

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

"Information available from the question"

Paul won a race with a time of 71. 3 seconds.

The time, t, is to the nearest tenth of a second.

So, Rounding off to nearest tenth

Rounded to the nearest 0.1 or the Tenths Place will be

The error interval due to rounding:

So, 71.25 ≤ t < 71.35

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*
The value of tan x is given. Find sin x and cos x if x lies in the specified
tan x=2, x 0,
xe
T
sinx=| (Type an exact answer, using radicals as needed.)

Answers

The value of sin and cosine of angle x are √2 and √2/2

How to determine the value of sin and cosine

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

tan(x) = 2

Also, we have the interval to be

x = (0, ¤/2)

This means that the value of the angle x is from 0 to 90 degrees

Mathematically, we have

tan(x) = sin(x)/cos(x)

This means that

sin(x)/cos(x) = 1/2

So, we have

cos(x) = 2sin(x)

Let cos(x) = √2

This means that

sin(x) = √2/2

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For the translation​ below, give the vertices of ABC

Answers

Answer:

see explanation

Step-by-step explanation:

A translation of [tex]T_{(5,2)}[/tex] means

add 5 to the original x- coordinate and add 2 to the original y- coordinate.

A (1, - 2 ) → A' (1 + 5, - 2 + 2 ) → A' (6, 0 )

B (- 3, - 3 ) → B' (- 3 + 5, - 3 + 2 ) → B' (2, - 1 )

C (3, 5 ) → C' (3 + 5, 5 + 2 ) → C' (8, 7 )

The line passes through the points (3,5) and (6,11).
Algebraic rule (slope-intercept form or point-slope
form):

Answers

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).

When should you use point-slope form?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

One of the three ways we can express a straight line is using the point slope form, also known as the point-gradient form. By merely knowing one point on the line and the slope of the line, we may use this form to get the equation of the line.

The slope and y-intercept of the matching line can be rapidly determined when we have a linear equation in slope-intercept form. This enables us to graph it as well.

The equation of a line can be represented in either slope-intercept form or point-slope form.

Slope-intercept form:

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of the line passing through the points (3,5) and (6,11) in slope-intercept form, we can use the point-slope formula to find the slope and then use one of the points to find the y-intercept.

Point-slope form:

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

To find the equation of the line passing through the points (3,5) and (6,11) in point-slope form, we can use the point-slope formula and one of the points.

Using the point-slope formula, the slope of the line is (11 - 5) / (6 - 3) = 6/3 = 2.

So, the equation of the line in slope-intercept form is:

y = 2x + b

We can use the point (3,5) to find the y-intercept:

5 = 2 * 3 + b

Solving for b, we get b = -1.

So the equation of the line in slope-intercept form is:

y = 2x - 1

In point-slope form, using the point (3,5), the equation of the line is:

y - 5 = 2(x - 3)

Both forms represent the same line, just in different ways.

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Substitute each variable to determine whether the inequality statement is true or false j/6 >3 if j =24

Answers

The inequality statement j/6 > 3 is true when j = 24.

How to Determine if an Inequality Statement is True?

To substitute the value of j into the inequality statement, you will replace j with 24 and then simplify the expression.

j / 6 > 3

24 / 6 > 3

Simplifying, we get

4 > 3

Since 4 is greater than 3, the inequality statement is true.

You can also check by multiplying both sides of inequality by 6

j > 18

24 > 18

This is true because 24 is greater than 18. Therefore, the inequality statement j/6 >3 if j =24 is true.

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Formative REDO
1. Find the slope and y-intercept from the equation: y = -2x + 7
b=_
m=
2. Find the slope and y-intercept from the graph:
b=
m=

Answers

The equation in the problem is in slope intercept form. The slope-intercept form of a linear equation is: y = mx + b

What is meant by slope?

Slope is a numerical representation of how inclined a line is with respect to the horizontal. The slope of any line, ray, or line segment in analytical geometry is defined as the ratio of the vertical to the horizontal distance between any two points on the line, ray, or segment.A line's slope is how steeply it slopes from LEFT to RIGHT. The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change.The foundation of differential calculus is the idea of a slope. The rate of change for non-linear functions varies along the curve.Both the slope and the y intercept can have a positive or negative value. Slope is defined as the y-axis divided by the x-axis.

The slope-intercept form of a linear equation is: y = mx + b

Where m is the slope and b is the y-intercept value.

Therefore, for this equation y = -2x - 7

The Slope is: m = -2

The Y=Intercept is b = -7 (or)

slope and y-intercept from the graph: (0, -7)

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i need answers asap or pls

Answers

Answer:

see attached

Step-by-step explanation:

E is the encoding matrix.

Use E to decode the coded message matrix.

Answers

Encoding simply means the process of putting a sequence of characters like letters, numbers and other special characters into a specialized format.

What is an encoding matrix?

It should be noted that a type of code, that is extremely difficult to break, and one which makes use of a large matrix to encode a message is the encoding matrix.

Here, the receiver of the message decodes it by using the inverse of the matrix. In their case, the first matrix is the encoding matrix and the inverse is the decoding matrix.

To decode the message, we simony have to take the string of coded numbers and then multiply it by the inverse of the matrix in order to get the original string of numbers.

Encoding simply means the process of putting a sequence of characters like letters, numbers and other special characters into a specialized format.

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PLSSSS HELP IF YOU TURLY KNOW THISSS

Answers

[tex] \pmb{ \underline{\color{green} \huge{Αηςωεr : ∼}}}[/tex]

[tex] \large \frak{ \red{x } - 4 = 8}[/tex]

[tex] \: [/tex]

[tex] \large \frak{ \red{x } = 8 + 4}[/tex]

[tex] \: [/tex]

[tex] \underline{ \boxed{ \large \frak{ \red{x } = \green{12}}}}[/tex]

[tex] \: [/tex]

hope it helps!

Find two other points on the line passing through (1,5) and (3,-1)

Answers

Answer:

We can find two other points on the line passing through (1,5) and (3,-1) by using the slope-intercept form of a line: y = mx + b where m is the slope of the line, and b is the y-intercept.

To find the slope (m) of the line, we can use the formula: m = (y2 - y1) / (x2 - x1)

Plugging in the coordinates of the two given points: m = (-1 - 5) / (3 - 1) = -6 / 2 = -3

To find the y-intercept (b) of the line, we can use one of the given points and substitute the values of x, y and m into the equation y = mx + b.

Plugging in the coordinates of the point (1,5) and the value of m: 5 = -3(1) + b, b = 8

So the equation of the line is y = -3x + 8

We can use this equation and any x value to find two other points on the line. For example, if we choose x = -2, we get y = -3(-2) + 8 = 2

so the point (-2,2) is on the line.

If we choose x = 0, we get y = -3(0) + 8 = 8

so the point (0,8) is on the line.

So two other points on the line passing through (1,5) and (3,-1) are (-2,2) and (0,8)

If I helped you, could you please make my answer best?

Answer:

x + y = 4

m = -1

Step-by-step explanation:

(3 - 5) / (1 - (-1))

m = -2/2

(y - 5) = -1 × (x - (-1))

y - 5 = - x - 1 = 0

I need help in this problem

Answers

Answer:

b.  20°

Step-by-step explanation:

Find the missing angle in the top triangle:

180 - 40 - 20 = 120

because, the sum of interior angles of a triangle is 180.

The top angle of the bottom triangle = 120 because it is a vertical angle to the one you just found.

Now find the missing angle (x) on the bottom:

x = 180 - 120 - 40 = 20

Find the distance between the given points. Round your answer to the nearest tenth. ( 1 , 2 ) and (5, 9)

Answers

The distance between the given points is 8.1 units

How to find the distance between the given points?

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²)

From the given info, we have:

( 1 , 2 ) and (5, 9),

where x1 = 1, y1 = 2 and x2 = 5 and y2 = 9

d=√((x2 – x1)² + (y2 – y1)²)

d=√((5 – 1)² + (2 – 9)²)

d=√((4)² + (-7)²)

d = √65

d = 8.1 units

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Identify the Constant of Proportionality From a Graph

Answers

The graph of constant of proportionality is determined and attached with a green check on the mark box

How to find the graph of constant of proportionality

The ratio between two quantities that are directly proportional is the constant of proportionality.

When two quantities grow and shrink at the same rate, they are directly proportional. When y and x are two values that are directly proportional to one another, the proportionality constant k is defined as k=y/x.

The equation shows that y = kx and the y intercept is zero, because of this the graph will start from the origin

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Trey is having a party. He'll have 2 tables for every 10 guests.
Complete the table below showing the number of tables and the number of guests.
number of guests: (10) (15) (25) _ (50)
number of tables: (2)( _) (_) (7) (_)

Answers

The number of tables for 15 guests will be 3 tables.

The number of tables for 25 guests will be 5 guests

The number of tables for 50 guests will be 10.

How to calculate the number of tables and guest?

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, Trey is having a party. He'll have 2 tables for every 10 guests. This means that 1 table will be for 10/2 = 5 guest

The number of tables for 15 guests will be:

= 15 / 5.

= 3 tables.

The number of tables for 25 guests will be:

= 25 / 5

= 5 guests

The number of tables for 50 guests will be:

= 50 / 5

= 10

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Please help I need the answers ASAP.

Answers

Answer:

Refer to the step-by-step

Step-by-step explanation:

∠1 and ∠2 lie in the alternate interior of the parallel lines and are on opposite sides of the transversal. So, ∠1 and ∠2 are equal angles.

Vanessa and Jo share £128 in the
ratio 5: 3. Work out how much money
Vanessa receives.

Answers

Answer:

vanessa gest 80

Step-by-step explanation:

128/8 =16

5 * 16 =80

3*16. =48

Answer: £80

Step-by-step explanation:

Step 1:

Make a proportion:

5 - 8

x - 128

Step 2:

Cross multiply:

5*128=8x

640=8x

Step 3:

Divide by 8:

80=x or x=80

Cody hiked at an average speed of 1 mile per hour for 5 hours on Saturday. He hiked an average speed of 2 miles per hour for 3 hours on Sunday. Which explanation correctly tells how to calculate the total number of miles that Cody hiked in two days?

Answers

The correct explaination to calculate the total number of miles that Cody hiked in two days is Step 1: Multiply 1 × 5. Step 2: Multiply 2 × 3. Step 3: Add the two products.

First of all, we must know the formula of average speed. The formula is as follows -

Average speed = distance ÷ time

Using this formula, we can calculate distance for Saturday and Sunday and subsequently add the distance to find the number of miles that Cody hiked in two days.

For Saturday -

Distance = 1 × 5

Performing multiplication

Distance = 5 miles

For Sunday -

Distance = 3 × 2

Performing multiplication

Distance = 6 miles

Total distance hiked = 5 + 6

Performing addition

Total distance hiked = 11 miles

Thus, the correct explaination is Step 1: Multiply 1 × 5. Step 2: Multiply 2 × 3. Step 3: Add the two products.

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The complete question is -

Cody hiked at an average speed of 1 mile per hour for 5 hours on Saturday. He hiked an average speed of 2 miles per hour for 3 hours on Sunday. Which explanation correctly tells how to calculate the total number of miles that Cody hiked in two days? Step 1: Divide 1 ÷ 5. Step 2: Divide 2 ÷ 3. Step 3: Subtract the two quotients. Step 1: Multiply 1 × 5. Step 2: Multiply 2 × 3. Step 3: Add the two products. Step 1: Divide 1 ÷ 5. Step 2: Divide 2 ÷ 3. Step 3: Add the two quotients. Step 1: Multiply 1 × 5. Step 2: Multiply 2 × 3. Step 3: Subtract the two products.

The length of Ms. Sheahan's office is
3x yards and the width is x + 4 yards.
Write a polynomial that represents the
area. Find the area if x = 1 yd.

Answers

Answer:

see explanation

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

  = 3x(x + 4) ← distribute parenthesis by 3x

A = 3x² + 12x

when x = 1 , then

A = 3(1)² + 12(1) = 3 + 12 = 15 yd²

the difference between the squares of two positive integers is 2009. what is the maximum possible difference between these two integers?

Answers

Answer:

Step-by-step explanation:

i dont knpw

Javier is ordering a sandwich from a deli. There are 3 types of meat to choose from and 4 cheeses, and Javier must pick one of each. How many different sandwiches can Javier order?

Answers

The number of different sandwiches that Javier can order, given the number of types of meat and cheeses, is 12 sandwiches.

How to find the number of sandwiches ?

Javier has 3 choices for the type of meat and 4 choices for the cheese, so the total number of different sandwiches he can order is the product of the number of choices for each ingredient.

To find the total number of different sandwiches, you can multiply the number of meat choices by 4 the number of cheese choices.

The number of sandwiches Javier can order are:

= 3 x 4

= 12 sandwiches

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The solution to an inequality is graphed on the number
line.
-5-4-3 -2 -1 0 1 2 3 4 5
What is another way to represent this solution set?
Oxx<4.5}
O {x|x≤4.5}
Oxx>4.5)
Ox|x24.5}

Answers

The term "solution set" refers to the collection of all possible solutions to an equation thus  {x|x≤4.5} holds it . The value is a solution because the equation holds true if both sides are equal.

Option B is correct.

What is set?

The distinct items that make up a set are referred to as the set's members or elements. Set notation is a method for representing a set using a combination of symbols and numbers, and it can be used to define sets. "x | -5 x 4.5" is another way to show the solution set of the inequality -5 x 4.5 on a number line. Interval notation is the method by which all real numbers between two given values can be represented. The solution set can be read as "x such that -5 is less than x and x is less than or equal to 4.5" because "|" denotes "such that" and the vertical line denotes "and."

Why is the set of solutions infinite?

When the lines coincide and have the same y-intercept, the number of solutions to an equation system is infinite. If the slope and y-intercept of the two lines are the same, they are in fact on the same exact line.

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The solution set to 6 + 2n> 12 is n> 3. Which are correct representations of this solution? Select two options.
{n\n<3}
{n\n≥3)
-5-4-3-2-1 0 1 2 3 4 5
-5-4-3-
(3,0⁰0)
0
2 3 4
5

Answers

-5-4-3- is the solution for {n\n<3} and 2-1-0 is the correct set for this solution {n\n≥3).

What is the set?

A set is a well-defined collection of distinct objects, known as elements or members of the set. The objects can be anything, such as numbers, letters, words, animals, or even other sets. The defining feature of a set is that its elements are unique and distinct, meaning that no element can appear more than once in the set.

The solution set to 6 + 2n > 12 is n > 3. The correct representations of this solution are:

{n | n ≥ 3}

(3, ∞)

Option 1 {n | n < 3} is incorrect, as it represents the solution set of n being less than 3, which is the opposite of the solution set provided.

Option 2 -5-4-3- is Correct, as it is not in the correct format to represent a solution set.

Option 3 (3,0⁰0) is correct because it represents a point, not a set.

Option 4 and 5 -5-4-3-2-1 0 1 2 3 4 5 and 0 2 3 4 5 are also incorrect as they are not in the correct format to represent a solution set, and does not include the value 3.

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Lin is running in an election to be president of the seventh grade. She wants to predict her chances of winning. She has the following ideas for surveying a sample of the students who will be voting: a. Ask everyone on her basketball team who they are voting for. B. Ask every third girl waiting in the lunch line who they are voting for. C. Ask the first 15 students to arrive at school one morning who they are voting for. ​

Answers

Answer:

C

Step-by-step explanation:

Lets use process of elimination.
A would result in biased results as Lin is on the basketball team herself and thus, her teammates would be inclined to vote for her.

B would result in biased results as well. It doesn't say every third person in the line but rather every third girl. The girls might be inclined to vote for a female candidate.

That leaves C as the only viable option.

you go out to eat with your family. the subtotal on your bill is $45.50 you must pay a 8% sales tax. what is your bill INCLUDING sales tax? please help

Answers

The equation set up would be 45.50 + 8% of 45.50 or

45.50+ (0.08x45.50) = 49.14

$49.14 total

a square with integer side length is cut into 10 squares, all of which have integer side length and at least 8 of which have area 1. what is the smallest possible value of the length of the side of the original square?

Answers

Answer: I need help with this what is the answer

Step-by-step explanation:

a cat's heart beats approximately 45 times and 15 seconds. at this rate how many times does the cat's heartbeat per second?

help.​

Answers

Answer:

Step-by-step explanation:

For the cat's heart to beat 45 times in 15 seconds

for 1 second, we must divide 45 by 15

the answer will be 3 beats per second

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the use of pressure anesthesia before, during, and after palatal injections to blanch the tissue is recommended to reduce patient discomfort. the overlying palatal tissue is dense and adheres firmly to the underlying bones of the palate. group of answer choices both the statement and reason are correct and related. both the statement and reason are correct but not related. the statement is correct, but the reason is not. the statement is not correct, but the reason is correct. Write an equation in slope intercept form passing through the point (-10,1) and parallel to the line 10x+5y=15 which of the following statements about dna and rna is false?rna stays in the nucleus whereas dna can leavedna continues deoxyribose and rna contains ribosedna stays in the nucleus whereas rna can leaverna is single stranded and dna is double stranded 3 minute speech on children's rights PLS HELP ASAP!MY WORK IS DOW THEREThanks!Btw its not a quiz find the volume of the solid generated by revolving the region bounded by the parabola y=-(x^2)/9 and the lines y=-1 about the following lines a. the line y=-1 b. the line y=-2 c. the line y=1 The bones of a saber-toothed tiger are found to have an activity per gram of carbon that is 15.0 % of what would be found in a similar live animal. How old are these bones? Give answer in years. Do not enter unit. lowering our stress levels avoiding personal injury avoiding learning about our differences with others contributing to the well-being of the human spirit jared knows that distance his cars travels equals the rate at which he drives multiplied by the time he drives the car on one occasion he drove 15 miles in 0.5 hours what equation can jared use to find the rate at which he drove which of the following are forms of restrictive lung disease are caused by environmental exposure? select all that apply. A new company president is saidto uave causethe company to do180. Before the new president, the company was losing 10,000 per month. What is the company most likely doing under the new president? A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded. Number of Hours Total Number of Students 0 1 1 3 2 3 3 10 4 9 5 6 6 3 Determine the probability that a student studied for exactly 5 hours. Round to the nearest hundredth. 0.83 0.21 0.17 0.14 Complete the following statement: Oxygen is a reactant of _____(1)_____ while being the product for _____(2)_____. (4 points) a(1) photosynthesis, (2) fermentation b(1) cellular respiration, (2) photosynthesis c(1) fermentation, (2) anaerobic respiration d(1) aerobic respiration, (2) photosynthesisPlease will give brainly!!! Complete the explanation of how you could use the work backward problem-solving strategy to solve the equation x/5 3 = 2.The equation says that a number was divided by 5 and that 3 was then subtracted from the quotient, giving the result 2. So, working backward, first add (blank)to 2, giving (blank). Then multiply that result by (blank), giving x = (blank) TRUE/FALSE. Argument by example examines specific cases in order to identify an actual relationship or correlation between them. As a public school teacher, Molly has accrued 14 days of sick leave, which is a type of ________ compensation. Group of answer choices:A) direct financialB) indirect financialC) nonfinancialD) mandatory Reggie wants to send an audio file to his colleague. However, he is unable to do so as the files are heavy in format. His friend asked him to convert the [BLANK] files to [BLANK] files explain in your own words how, in personal exchanges, altruistic preferences may affect the allocation of coffee and gigabytes between ayanda and bongani. what happens when fishery populations are overharvested? how have some governments curbed this trend? The family will eat together at the table what is the peoper and common noun???