Explain how to model the multiplication of 3 and ‒4 on a number line

Answers

Answer 1

First, start at zero. Now, because we are multiplying -4 by 3, we will jump over by 4 to the left  ; 3 times on the number line. We should reach -12, and if we check our work, 3 x -4 = -12.                                            

Answer 2

Final answer:

To model the multiplication of 3 and -4 on a number line, start at zero and make three moves to the left by 4 units, ending up at -12. This demonstrates the rule that multiplying numbers with opposite signs results in a negative product.

Explanation:

To model the multiplication of 3 and -4 on a number line, you can follow these steps:

Start at zero on the number line.

Since you are multipling a positive number by a negative number, you will move in the negative direction (to the left).

Make three moves (corresponding to multiplying by 3), each 4 units to the left. This represents adding -4 three times.

Where you end up on the number line is the product of 3 and -4, which is -12.

This method of multiplication on a number line illustrates the rule that when two numbers multiplied have opposite signs, the answer has a negative sign, such as in the example ( -4) x 3 = -12.


Related Questions

Inductive reasoning involves developing a general rule from specific situations. True or false

Answers

Hey there,

The answer is true

Hope it helped!

Answer:

The answer is true

Step-by-step explanation:

Inductive reasoning is a principle in mathematical and philosophical logic where general conclusions are derived from specific situations. Its contrary is deductive reasoning where we use a general rule to explain particular situations, reasoning commonly used in mathermatics. Example: all right angles measure 90 degrees, AB is right angle so AB measure 90 degrees,

In inductive reasoning we use the opposite logic that can take to incorrect general principles due to a bias. Example, my friend is tall and a good basket player, Joe is tall and also plays good basketball so All tall people are good basket players is a biased conclusion.  

Do you guys know what is 6y-3(4/3y-2)

Answers

You'd solve it like this
6y-3 (4/3y-2)
6y-4y+6 (use the distributive property and multiply all the numbers inside the parentheses by -3)
2y+6 (add like terms)
That's pretty much it
6y - 3(4/3y - 2) = 0

Multiply everything in the parenthesis by -3.

6y - 12/3y + 6 = 0

Simplify.

6y - 4y + 6 = 0

Combine like terms.

2y + 6 = 0

Subtract 6 from both sides.

2y = -6

Divide 2 on both sides.

y = -3

Hope this helps!

to make fruit punch you need 3 cups of grape juice for every 5 cups of apple juice if you have 15 more cups of apple juice how many cups do you have total how many cups do you have for each flavor use tape diagram to show your answer

Answers

If you add 15 more cups to the 5 cups of apple juice, you would have 20 cups, and so I'm assuming you want to find how much cups of grape juice do you have. The ratio of grape juice to apple juice is 3:5. If you multiply the base, 5 cups of apple juice time 4, you get 20 cups of apple juice. So, all you need to do is multiply the 3 cups of grape juice by 4 also. And that would get you 12 cups. So when there is 20 cups of apple juice, there is 12  cups of grape juice.

Student A:  is a rational number because it can be written as a fraction. 

Student B:  is an irrational number because  is irrational. 

Evaluate the reasoning provided by both student A and B, and correct the errors. Make sure to provide proper reasoning. Come up with one challenging rational or irrational number in your post. Make sure to not include the answer. 

Answers

i think it a rational number .i am
not sure so 

In triangle ABC, side AB has a length of 8 cm and side BC has a length of 5 cm. If the triangle has an area of 10 square centimeters, what is the measure of the angle between sides AB and BC?

135°
150°
120°
45°
30°
60°

Thank you!

Answers

Recall the following formula:

Given a triangle with side lengths a, b, and c. Let the measure of the angle between sides of length a and c be B.

Then, the area of the triangle is given by :

                                 [tex]Area= \frac{1}{2}\cdot a\cdot c \cdot \sin B[/tex].

 In our example we have: Area=10 square cm, a=8 cm, c=5 cm, and we want to find the measure of the angle between the 2 sides a and c.

Substituting in the formula we have:

[tex]10= \frac{1}{2}\cdot 8\cdot 5 \cdot \sin B [/tex]

Thus, [tex]10=20 \sin B[/tex], which means [tex]\sin B = \frac{1}{2} [/tex].

[tex] \frac{1}{2} [/tex] is the sine of [tex]30^{\circ}[/tex], but also [tex]150^{\circ}[/tex].


Answer: both 30, and 150 degrees are possible

38:63 as a percentage

Answers

54 percent

your welcome
the percentage is 54 percent

a company uses two vans to transport workers from a free parking lot to the work place between 7:00 and 9:00 am one van has 6 more seats than the other. the smaller van makes two trips every morning while the larger one only takes one trip. the two vans can transport 57 people, maximum. how many seats does the large van have?

Answers

So first, I would assign the small van a variable for how many people it can hold, or x.

So since it makes two trips,

2x

And since the other van can hold six more people,

2x + x + 6

And 57 people are transported:

3x + 6 = 57

We can then solve.

3x = 57 - 6

3x = 51

x = 17

So since we now know a small can hold 17 people, and we know that the larger van has 6 more seats, we can just say

17 + 6 = 23

So the large van has 23 seats.

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of mc006-1.jpg?
all real values of x
all real values of x except x = 5
all real values of x except x = –5
all real values of x except x = 5 and x = –5

Answers

Answer:

b. all real values of x except x = 5

Step-by-step explanation:

WHICH ANSWER GOES WHERE ON THE NUMBER LINE ? I will give 11 points and brainliest!!!

Answers

I don't know what your asking
e goes slightly in front of 2 as it is represented approximately by the number 2.17

2^-1 goes in the middle of 0 and 1 since it is approximately 1.41

the square root of 4 goes on 2 since its value is exactly 2

π goes slightly in front of 3 since it is approximately 3.14

1.5^3 is past π but a little less than 3 and a half 

adam spent $3.42 on orange juice. orange juice costs $0.12 per ounce. how many ounces of ornage juice did adam buy?

Answers

He bought 28.5 ounces of orange juice

The amount of ounces of orange juice is A = 28.5 ounces

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of ounces of orange juices be A

Now , the amount spent on orange juice = $ 3.42

The cost per ounce of juice = $ 0.12

So , the number of ounces A = amount spent on orange juice / cost per ounce of juice

On simplifying the equation , we get

The number of ounces A = 3.42 / 0.12

The number of ounces A = 28.5 ounces

Hence , the equation is A = 28.5 ounces

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I REALLY NEED YOU PEOPLE'S HELP! Divide.​ 6 2/3 ÷ 1/5 ​Express your answer as a mixed number in simplest form, & I'll give you free points if you answer my next questions coming up. 20-50

Answers

6 2/3 ÷ 1/5 ​= 62/15

62/15=60 2/15

60 2/15 is your answer.

Hoped I helped!
6 2/3 / 1/5 = 62/15
62/15 = 4 2/15

The level of a lake was 8 inches below normal. It decreased 1 1/4 inches in June and 2 3/8 inches more in July. What was the new level with respect to the normal level?

Answers

It would be: 8 - (1 1/4 + 2 3/8)

8 - (5/4 + 19/8)

8-29/8

64-29/8

35/8 inches OR  4.375 is your answer

i think you answers is 2.875 
if wrong . im sorry about that

Your class hopes to collect at least 325 cans of food for the annual food drive. There were 135 cans donated the first week and 89 more the second week.

A. write an inequality that describes this situation. let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass its goal.
B. how many cans are needed to meet or surpass the goal.

Answers

325 >_ 135+89+c
C=101 or greater
hope this helps (the underscore sign is under the inequality sign ;)  )

Answer:

132+146+c>325;c>47

Step-by-step explanation:


what is the slope of a line parallel to line A

Answers

Find the slope of A. The slope of a line parallel to A would have the same slope of A. Remember, slope=rise over run. 

A sport store pays $45 for a baseball glove and sells it for $75. What is the mark up?

Answers

75 - 45 = 30. So a $30 mark up.

Or 45/75 gives you 0.6 or a 60% mark up.

Of the 150 students in Mr. Bacon's classes, 16% play soccer, 9/25 play basketball, 3 to the 3rd power play football and 14 do not play a sport at all. Write the number of students in order from least to greatest.

Answers

1. 14 students.
2. 16 percent = 24 students
3. 9/25 = 54 students
4. 3 to the third power = 81 students

Answer:

The number of students in order from least to greatest is 14<24<27<54

Step-by-step explanation:

Total students = 150

16% students play soccer

No. of students play soccer = [tex]16\% \times 150 = \frac{16}{100} \times 150=24[/tex]

9/25 play basketball

No. of students play basketball = [tex]\frac{9}{25} \times 150 = 54[/tex]

[tex]3^3[/tex] play football

No. of students play football = [tex]3^3 = 27[/tex]

No. of students do not play anything = 14

The number of students in order from least to greatest is 14<24<27<54

Multiply 7 x 462 using place value and expanded form. Choose the number from the box to complete the expression

Answers

Multiply 7 x 462 using place value and expanded form
Final answer:

To multiply 7 x 462 using place value and expanded form, we first write 462 as the sum of the products of its digits and their place values (400 + 60 + 2). We then multiply each component by 7 and add the results to get 3234.

Explanation:

To multiply 7 x 462 using place value and expanded form, you first need to break down the number 462 into expanded form. This means you write it as the sum of the products of its digits and their place values. We start at the right and move to the left: 2 (units), 60 (tens), and 400 (hundreds). So 462 in expanded form is 400 + 60 + 2.

The next step is to multiply each component by 7: 7 x 400 = 2800, 7 x 60 = 420, and 7 x 2 = 14. You add those results together to get your final answer: 2800 + 420 + 14 = 3234. So, 7 x 462 = 3234.

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Use the vertical line test to determine if the relation {(-6, -2), (-2, 6), (o, 3), (3, 5)} is a function. Explain your response.

Answers

yes, the relation is a function because each domain value is paired with one range value. If you graph each ordered pair to check with the vertical line test, then the line will pass through each point only once.

Using the vertical line test, it is found that the relation is a function.

In the definition of a function, it has that for each input, there can only be one respective output, and the same is true for a relation, and the test of the number of outputs for each input is the vertical line test.

The relation is: {(-6, -2), (-2, 6), (0,3), (3,5)}

No repeated inputs, thus it passes the vertical line test and is a function.

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Which of the following inequality statements best represent the verbal expression? a number is at least 2

Answers

Because there are no options I am going to say it would be x≥2 . :)

Answer:

it is the answer that the other person picked. i just got it right

Step-by-step explanation:

Mark filled 48 glasses with orange juice for a camp breakfast. If each glass holds 1 cup of juice. How many quarts of orange juice did Mark use?

A) 6 quarts

B) 12 quarts

C) 24 quarts

D) 192 quarts

Answers

48*1=48.

First of all, Mark used 48 cups of orange juice.

But wait. That isn't an answer choice!

Well then, it problably can be simplified to other units.

Since all the answer choices are in quarts, you can see that you should probably simplify it to quarts.

Since there are 4 cups in each quart, 48 cups is equal to 48/4=12 quarts.

Mark used B)12 quarts of orange juice.

Hope this helps!

B is the answer I’m assuming B is the answer at least

Jeff uses the expression 2(3b + 1) to determine how many books (b) he needs to order for his store. If b = 12, how many books should Jeff order?

Answers

3 x 12 would equal 36, +1 would make it 37. Since there is no space in between 2 and the (, you multiply it. 37 x 3 = 111
So, Jeff should order 111 books
2(3b +1)
Replace b with 12.
2(3x12 + 1)
2(36 + 1)
2(37)
74.

Hope that helped!

What is the value of the expression [(29+18)+(17-8)] divided by 8

Answers

If im not wrong but i totally feel confident but 7 should totally be the answer to your question let me know if it is correct
29+18=47
17-8= 9
47+9= 56
56 divided by 8 = 7.
The answer is 7.

suppose an object is moving 66 feet per second. how fast would you have to drive in your car, in miles per hour, in order to keep up with this object?

Answers

There are 5280 ft in a mile
66/5280=
.0125 m/h
Final answer:

You would need to drive at around 96.67 miles per hour to keep up with the object.

Explanation:

To determine how fast you would have to drive in your car to keep up with an object moving at 66 feet per second, we need to convert the unit from feet per second to miles per hour. There are 5280 feet in a mile and 3600 seconds in an hour. Therefore, the conversion factor is 5280/3600 = 1.4667. Multiplying 66 by this conversion factor gives us approximately 96.67 miles per hour. So, you would need to drive at around 96.67 miles per hour to keep up with the object.

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In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality.
-3m+18 < 30

Answers

A nonlinear function that can be written on the standard form

ax2+bx+c,wherea≠0ax2+bx+c,wherea≠0

is called a quadratic function.

All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is

y=x2y=x2


The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate

x=−b2ax=−b2a

The y-coordinate of the vertex is the maximum or minimum value of the function.

a > 0                   parabola opens up                    minimum value


a < 0                    parabola opens down              maximum value


A rule of thumb reminds us that when we have a positive symbol before x2we get a happy expression on the graph and a negative symbol renders a sad expression.

The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation

x=−b2ax=−b2a

The y-intercept of the equation is c.


When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.

Four hot air balloons each descend 295 feet per minute for 7 minutes. Find the total change in altitude for all 4 balloon

Answers

Answer: There is descending of 8260 feet in altitude for all 4 balloons.

Step-by-step explanation:

Since we have given that

Number of hot air balloons = 4

Number of minutes = 7 minutes

Descending per minute = 295

So, Total change in altitude for all 4 balloons is given by

[tex]295\times 7\times 4\\\\=8260\ feet[/tex]

Hence, there is descending of 8260 feet in altitude for all 4 balloons.

The total change in altitude for all 4 balloons will be 8260 feet

Number of minutes used per balloon = 7 minutesNumber of balloons = 4Number of feet when descending = 295

The total change in altitude for all 4 balloons will be calculated thus:

= 295 feet × 4 × 7

= 8260 feet

Therefore, the total change of the four balloons is 8260 feet.

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At the sixth grade school dance there are 132 boys,89 girls,and 14 adults

Answers

what is the question?
What’s the question your asking ?

Which expression is equivalent to 2x - 17?

A) -17 + 2x


B) -2x + 17


C) -2x - 17


D) 17 + 2x

Answers

The answer would be A) -17 + 2x because if we regroup it we still receive 2x - 17.
2x - 17 = -17 +2x because using commutative property of addition, changing order and sum remains the same.

what is the measure of xy

Answers

90 = (1/2)(43 + m(arc)XY)

180 = 43 + m(arc)XY

m(arc)XY = 137

Answer is A.

A circle is a curve sketched out by a point moving in a plane. The correct option is A, 137°.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

In the given figure since W is the midpoint of ZY, therefore, the measure of arc ZV and arc VY will be equal; and ZX and XY will be equal. Also, it is given that the measure of arc ZV is 43°. Therefore, we can write,

mZV + mVY + mXY + mXZ = 360°

43° + 43° + mXY + mXY = 360°

2(mXY) = 360° - 43° - 43°

mXY = 274/2

mXY = 137°

Hence, the measure of arc XY is 137°.

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Of the students at Milton Middle School, 153 are girls. If 45% of the students are girls, how many total students are there at Milton Middle school?

Answers

Let the total number of students be x.  Then 0.45x = 153.
Solving for x, x = 153/0.45 = 340 students (total)
There would be 345 students

A recipe that yields 12 cups of soup calls for 28ounces of beef broth. How many ounces of beef broth do you need to make 18 cups of the soup?

Answers

We will ratio to solve this problem.
Given the first information, we know that for 12 cups of soup, there are 28 oz of beef broth. This can be expressed as 28/12.

With the second information, we know that for 18 cups of soup, there is x amount of beef broth. This can be expressed as x/18
In this case, x stands for broth.

Because these are ratios, we know they will equal each other. We can set up this as an equation.
28/12=x/18
Solve for x
28/12=x/18
28/12 can be simplified to 7/4
7/4 • 18= x
126/4 = x
31.5= x
ANSWER:
31.5 oz of beef broth is needed to make 18 cups of soup
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