Mathematics Middle School

Solve the equation. 3|3k| = 27

A.) {-9, 9}

B.) {-3, 3)

C.) {-3, 9}

D.) -3 < k < 3

Answers

Answer 1
The answer is B. -3, 3
This is why:
3|3*3| = 27
3|9| = 27
3*9 = 27
The same will happen with -3 since this | means the distance from the number to zero and in this case it is 3 units til you reach zero. So the answer is B. 3, -3
Answer 2

By applying basic property of modulus function we got value of k as 3 and -3

What is modulus function ?

Modulus function gives magnitude of a number . It's represented by |x|

Given equation

[tex]3|3k|=27\\[/tex]

we can simplify this equation as

[tex]|3k|= \frac{27}{3}\\\\|3k|=9[/tex]

As 3 is a positive number we can take it out from modulus as it is

[tex]3|k|=9\\\\|k| = \frac{9}{3}\\\\|k|=3[/tex]

As we know modulus function gives magnitude of a number so can k can be 3 and -3

By applying basic property of modulus function we got value of k as 3 and -3

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Related Questions

After a party, there are 3 3/4 pizzas left over. If they need to be split among 6 people, how much pizza will each person take home?

Answers

each person would take home 5/8 of the pizza
You need to divide 3 3/4 by 6.
Write 3 3/4 as a fraction, then do the division.

(3 3/4)/6 = (15/4)/6 = (15/4)/(6/1) = 15/4 * 1/6 = 15/24 = 5/8

Answer: 5/8 of a pizza.

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

Express your answer in smaller unit 800 m 35 cm - 154 m 49 cm

Answers

800 m  times the meter to cm conversion factor would be:

                                         100 cm
                         (800 m) * ----------  = 80000 cm
                                             1 m

So 800 m 35 cm would be 80035 cm.

Likewise, 154 m would be 15400 cm, and so 154 m 49 cm would be 

 15449 cm.

Subtracting 15449 cm from 80035 cm, we get 64586 cm.

This is one way in which to do this problem.

We could convert 64586 cm back to meters:  645 m 86 cm
Final answer:

The problem of '800 m 35 cm - 154 m 49 cm' can be solved by converting everything into the smallest unit, which is centimeters. Once everything is converted, subtracting 15,449 cm from 80,035 cm gives a result of 64,586 cm.

Explanation:

To solve the given problem, first convert everything to the same unit. In this case, we will convert everything to centimeters since it's the smaller unit. Remember that 1 meter equals 100 centimeters. Therefore, 800 meters will equal 800 times 100, which equals 80,000 centimeters. Adding the 35 centimeters to this, our total becomes 80,035 centimeters.

Similarly, 154 meters equals 15,400 centimeters. Adding the 49 centimeters to this, we have 15,449 centimeters total.

So the problem becomes 80,035 centimeters - 15,449 centimeters.

Using basic subtraction, we find the result to be 64,586 centimeters.

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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.

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!

multiply the following number using the distributive property the equation are 2×38 and this is the grid that is just an example of the grid.

Answers


                                         30                                              8
     +------------------------------------------------------------+-------------------+
     I                                                                         I                        I
 2  I                                2 * 30                                I        2 * 8        I
     I                                                                         I                        I
     +------------------------------------------------------------+-------------------+


The entire large rectangle above is 38 units long and 2 units wide.
Its area is length times width, so the area is 2 * 38.
38 is also the same as 30 + 8, so the area can also be written as 2(30 + 8).

The left rectangle is 30 units long and 2 units wide. Its area is 2 * 30.
The right rectangle is 2 units long and 8 units wide. Its area is 2 * 8.

If you add the areas of the small rectangles, you get
2 * 30 + 2 * 8

If you add the two small areas, you get the area of the laerge rectangle, so

2(30 + 8) = 2 * 30 + 2 * 8

which is an example of the distributive property.

Write −5.8 as a mixed number in simplest form.

Answers

This would be [tex]-5 \frac{4}{5} [/tex]
-5.8 as a mixed number would be -5 and  [tex] \frac{8}{10} [/tex]
that can then be simplified to -5 and [tex] \frac{4}{5} [/tex]

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

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 

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. 

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

If 12 poster boards are cut into
1/6
pieces, how many pieces of poster board are there?

Answers

What you have to do here is divide 12 by 1/6, or you can also multiply 12 times the reciprocal of 1/6 which is 6. So 12 times 6 is 72, so the final answer is 72 pieces of poster board. YOU'RE WELCOME :)

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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Write using algebra.

A bucket holds c liters of water, but a jar holds 8 liters less. How many times as much water can the bucket hold as the jar?

Answers

Let's just say that:
B = Bucket
J = Jar.

The amount of water J can hold is 8 liters less than B. So:
J = C - 8
(C represent the amount of water the bucket can hold)

And let's do the same for B. Since B holds C amount of water, the expression for this is:
B = C

Hope I answered your question!

Answer:

The answer is:

The bucket may hold [tex]\frac{C}{C-8}[/tex] times the amount of water of the jar.

Step-by-step explanation:

In order to determine the answer, we have to know about proportion.

When we use proportion, we want to express a fraction between two measures. It is useful to compare each other if something is more than twice or three times or whatever.

In this case, we have two measures.

C= amount of water that is holded by the bucket.

J=amount of water that is holded by the jar.

Where:

[tex]C=J+8[/tex]

So, expressing both measure as a proportion:

[tex]\frac{C}{J}=\frac{C}{C-8}[/tex]

Finally, the bucket may hold [tex]\frac{C}{C-8}[/tex] times the amount of water of the jar.

How many whole numbers have a sum of 99

Answers

With the sum of 99, we will get 50 pairs whole numbers. Why?
Let’s start with
0+ 99
1 + 98
2 + 97
3 + 96
4 + 95
5 + 94
6 + 93
7 + 92
8 + 91
9 + 90
10 + 89
………
……..
43 + 49
44 + 50

Therefore, if you’re going to count all pairs of the whole number, you will get 50 pairs of the whole number with the sum of 99.

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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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.

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.

For this question you have to solve for m and show your work

Answers

10 = 2/3m - 3/2m
2/3m - 3/2m = 10
m ( 2/3 - 3/2 ) = 10
-5/6m = 10
5m = -60
m = -12

38:63 as a percentage

Answers

54 percent

your welcome
the percentage is 54 percent

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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You bought one dozen eggs but one-third of the eggs where broken. How many eggs were broken? (Hint: A dozen eggs is 12 eggs.)

Answers

Four eggs broke! 
One-third of twelve is four!
Hope this helps!

Answer: 4 eggs

Step-by-step explanation:

12*1/3 = 12/1*1/3 = 4 eggs

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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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 ?

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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Could someone help please?

Answers

It says that Monday is 'below zero', so Monday is negative
Wednesday is neither positive or negative, so it is zero
Monday is opposite of Tuesday, so if Monday is negative, Tuesday is positive

your order from positive to negative

Tuesday, Wednesday, Monday

hope this helps

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:


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