Mathematics Middle School

(a−2b)3 when a=−3 and b=−12

Answers

Answer 1

(a-2b)3

(-3-2*(-12))3

(-3+24)3

21*3

I had better if you double check it

Answer 2

The solution of the given expression is 63.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here the given expression is :

3(a-2b)

where, a = -3

and, b = -12

Now, substitute the value of a and b in the given expression :

3(a-2b)

= 3(-3-2x -12)

= 3(-3 + 24)

= 3(21)

= 63

Therefore, the solution of the given expression is 63.

Related Questions

An atlas contains a map of Ohio (look at the picture for parts a,b,c, and d

Answers

Answer:

Step-by-step explanation:

B. Find the slope of the line. What does this mean in the context of the problem?

What is the approximate volume of the cylinder?

Use 3.14
as your approximation for π.

V≈ [blank] −−−−−−
in.3

Enter your answer as the decimal number that correctly fills in the previous blank, rounded to the nearest hundredth, like this: 42.53

What is the approximate volume of the cylinder?Use 3.14as your approximation for .V [blank] in.3Enter

Answers

The answer would be 3,799.4 I don’t know how to get it to the nearest hundredth because I used my phone calculator but to find the answer you would take radiusxradiusxheightxpi so 11x11x10x3.14

Volume of cylinder is 3,799.40 $inch^{3}$ (rounding off nearest hundredth)

What is volume of cylinder?

The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it.

Volume of cylinder= $\pi r^{2} h$

V= $3.14* 11* 11* 10$

=121 x 31.4

= 3799.4 $inch^{3}$

≈3,799.40 $inch^{3}$

Volume of cylinder is 3,799.40 $inch^{3}$

Learn more about Volume of Cylinder here:

https://brainly.com/question/15891031

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Determine whether each figure creates the conditions to form a unique triangle, more than one triangle, or no triangle. Angle measures of 30 degrees, 60 degrees, and 90 degrees.

no triangle
a unique triangle
more than one triangle

Answers

It’s 60 degrees because it’s on triangle

It’s 69 degrees because it’s on a triangle

A group of 4 children and 2 adults pay a total of $32 to take a swim class. A group of 2 children and 5 adults take the same class for $48. How much does it cost for 1 child to take the class?

Answers

Answer:

Ticket problems are algebra word problems that involve various tickets of different values ... The cost of tickets for a play is $3.00 for adults and $2.00 for children. ... Step 1: Set up a table with quantity and value. ... Step 2: Fill in the table with information from the question. ... Step 3: Add down each column to get the equations..

Step-by-step explanation:

Please explain your answer :D
don’t answer if you will not provide an explanation please :”)

Answers

Answer:

Step-by-step explanation:

QUESTION 7:

We are trying to find angles 1 and 2.

Known angle: 107˚.

In this question, we have 2 parallel lines with a transversal. A transversal is a line that passes through 2 parallel lines making it so that the angles on both sides are exactly the same.

Step 1: Find the measures of all the angles using the one we already know.

I will start with the angle adjacent (right next to) the angle that measures 107˚. As you can see, it is a supplementary angle because both of them form a straight line, or 180˚.

Therefore,

107+x= 180

x= 180-107

x= 73˚

Next, I will find the measure of the angle that is vertical to the one that measures 107˚. Note that angles that are vertical to each other are always identical, or in other words they have the same measure. Hence, the angle "vertical", or opposite to the one that measures 107˚ has to measure 107˚ as well. You can also tell this is true because they look the same.

Now I'll find the measure of the angle vertical to the one that measures 73˚. As we know, vertical angles are identical, so the one vertical to it is 73˚.

Here, I'll solve for angles 1 and 2. Like I said earlier, when a transversal crosses through 2 parallel lines, there will be 2 sets of angles that all have the same measurements.

To solve for angle 1, simply know what angle is right below it, and that is the one that measures 107˚. (If you look at the 2 lines, you will see that both angle sets are essentially duplicates of each other.) Likewise, angle 2 has to be 73˚ because the one under it is also 73˚.

Angle 1: 107˚

Angle 2: 73˚

QUESTION 8:

Again, we have a transversal that passes through 2 parallel lines. One angle measures 95˚. When there are 3 seperate angles along a straight line, the one next to the one with the given measurement will be the same as that one.

So angle 3 is 95˚. To find angle 4, find the angle measurement that's vertical to angle 3, which is 95˚. Now, since that angle and angle 4 are supplementary (both form a straight line which is always 180˚), 95+x= 180.

(x stands for angle 4)

x+95= 180

x= 180-95

x= 85

Angle 4= 85˚.

QUESTION 9:

ANGLE 5: 49˚

When there is a transversal, there are 2 identical pairs of angles. Therefore, angle 5 must be 49˚.

ANGLE 6: 131˚

angle 5 and angle 6 form a straight line which means they are supplementary angles. Therefore, both angles must add up to 180˚. So 49+x= 180

x= 180-49= 131

(x stands for angle 6)

Hope this helps!! Also I worked pretty hard on this so brainliest would be appreciated :D

Practice problems if it helps :) : https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/parallel_lines_1

You can find 1 becuase it is the same angle as the one below it, so 1 is 107 degrees and 3 is 73 degrees becuase one line is 180 degrees and 1 and 2 together make a line so I just subtracted 107 from 180

I need help with all this please help!!

Answers

1) c
2) a
3) brother of Johnny

Okay I do have an answer, I only exachange answers tho, answer my most recent question then I’ll help u with urs. U don’t gotta. I’m new

Quinn has 6 bottles of water that each weigh \large \frac{3}{5} pound. What is the total weight of the water bottles?_

Quinn has 6 bottles of water that each weigh \large \frac{3}{5} pound. What is the total weight of the water bottles?

Answers

Answer:

3.6 pounds

Step-by-step explanation:

If 1 bottle weighs 3/5 pounds

the 6 bottles will weigh 6 x 3/5

= 18/5

ratio method :

1:3/5

6:x

since the ratios are direct we can cross multiply

18/5 = 1x

so the 6 bottles weigh 18/5 pounds or 3.6 pounds

3.6 pounds. You’re welcome

Graph the equation y= -x^2 +10x-21 on the accompanying set of axes. You must plot 5 points including the roots and vertex. Using the graph, determine the vertex of the parabola

Answers

Answer:

The properties of the parabola equation are

Vertex = (-5, -4)

Roots = (-7, 0) and (-3, 0)

Points = (-2, 5) and (-4, -3)

What are parabola equations?

Parabola equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

How to plot the graph of the parabola?

The equation is given as

y = x^2 + 10x + 21

Next, we plot the graph on the coordinate plane

On the graph, we can see the following properties

Vertex = (-5, -4)

Roots = (-7, 0) and (-3, 0)

Points = (-2, 5) and (-4, -3)

Step-by-step explanation:

https://brainly.com/question/28729977

Graph the equation y= -x^2 +10x-21 on the accompanying set of axes. You must plot 5 points including

Answer:

Step-by-step explanation:

Vertex = (-5, -4)

Roots = (-7, 0) and (-3, 0)

Points = (-2, 5) and (-4, -3)

Need help with a system of equations

Answers

Answer:

$ \boxed{x - y = -2\sqrt{7}} $

Given:

$x + y = 4 \\ \\ {x}^{2} + {y}^{2} = 22 \\ \\ {x}^{4} = {y}^{4} - 176 \sqrt{7} $

Step-by-step explanation:

$ = > {x}^{4} = {y}^{4} - 176 \sqrt{7} \\ \\ = > {x}^{4} - {y}^{4} = - 176 \sqrt{7} \\ \\ = > {( {x}^{2}) }^{2} - { ({y}^{2}) }^{2} = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2} )( {x}^{2} - {y}^{2} ) = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2}) (x + y)(x - y) = - 176 \sqrt{?} \\ \\ = > 22 \times 4(x - y) = - 176 \sqrt{7} \\ \\ = > 88(x - y) = - 176 \sqrt{7} \\ \\ = > x - y = - \frac{176 \sqrt{7} }{88} \\ \\ = > x - y = - 2 \sqrt{7} $

Identity used:

${x}^{2} - {y}^{2} = (x + y)(x - y)$

Answer:

-2$\sqrt{7}$

Step-by-step explanation:

$x^{4} - y^{4} = -176\sqrt{7} \\(x^{2} + y^{2})(x^{2} - y^{2} ) = -176\sqrt{7} \\(x^{2} - y^{2} )= \frac{-176\sqrt{7}}{22} \\(x + y)(x - y) = -8\sqrt{7}\\ x - y = \frac{-8\sqrt{7}}{4} = -2\sqrt{7}$

How far did I travel to reach my destination on each day of my three-day Trip?
a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination.
b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination.
c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.

Answers

The total distances you traveled to reach your destination on each day of your three-day trip are as follows:

a) Day 1 = 40 miles

b) Day 2 = 30 miles

c) Day 3 = 11 miles.

How the total distances are determined:

The total distances are determined using proportions.

Proportion refers to the fractional value of the whole number or quantity.

a) Day 1:

The fractional distance traveled = ⁵/₈

The remaining distance to travel = 15 miles

15 miles = ³/₈ (1 - ⁵/₈)

Proportionately, the total distance = 40 miles (15 ÷ ³/₈)

b) Day 2:

The distance traveled = 18 miles

The remaining distance to travel = ²/₅

The distance traveled = ³/₅ (1 - ²/₅)

³/₅ = 18 miles

Proportionately, the total distance = 30 miles (18 ÷ ³/₅)

c) Day 3:

The distance traveled = ⁵/₁₁

The distance to travel = 6 miles

The distance to travel in fractions = ⁶/₁₁ (1 - ⁵/₁₁)

Proportionately, if 6 miles = ⁶/₁₁, the total distance = 11 miles (6 ÷ ⁶/₁₁)

Learn more about proportions at https://brainly.com/question/1496357.

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If m is a positive integer, what is the least value of m for which 180 is a factor of 105m

Answers

Answer:

Step-by-step explanation:

If 180 is the factor of 105 m, then the factors of 180 should also be the factors of 105 m.

Factors of 180 = 15 * 12

Factors of 105 m = 15 * 7 * m

The least value of m is = 12

The answer is 12 as
15*12 is 108
So m=12

Make word problems with the following equations:
1) 8 - ( - 3)
2) 2 - 8
3) Design your own problem, make it difficult with a number line visual and a word problem.

Answers

1.
Dan and Clair both have 0.00$ in their bank accounts. Dan works 5 days a week with 10.00$ per hour and he works 10 hours. Dan brings home 500$ each week and puts 250$ in his bank account. He spends 200$ on a vacation and spends 42$ on food. Clair doesn’t work that much. She spends most of her days babysitting. She get 5$ per hour and is their once a week for three hours. She gets 15$ a week and puts it in her account and spend 18$ . What is the difference from Dans bank account money to Clair’s?

Hope it helps.

Which expression is equivalent to 2E-3/2E-5

a. 2E2
b. 1/2E2
c. 2E8
d. 1/2E8
E=exponent

Answers

Answer:

a 2E2

Step-by-step explanation:

$\frac{2^{-3} }{2^{-5} }$ When powers have the same bases and you are dividing, you subtract the exponents.

$2^{-3 - -5}$ = $2^{-3+5}$ = $2^{2}$

when powers have the same bace but it is going to be a. 2e2

cassie is placing stickers on a page that is 12 inches long and 8 inches wide the sticker are 3 inches long and 2 inches wide

Answers

Answer:

To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.

Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).

Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).

To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, find out how much stickers you can put on the long side:

12/3 = 4

Next, find out how much stickers you can put on the wide side:

8/2 = 4

Lastly, calculate them together:

4x4=16

So the answer is 16.

please? Help me asap

Answers

Answer:

44≥x+15

Solved: 29≥x

No, because the plane can only hold 44 people, the maximum number of people that may board is 29.

100 points
answer all questions
im really desperate

Answers

For #1 an ex is

Length is 7

Hight is 15 7x2 =14. 15x2. is 30 30plus 14 is 44. 44 for perimeter .

7x15 is 105

—————————————————————————————-——————————

Side =5. 4x5 is 20. Perimeter is 20. 4x4 is 8 area is 8.

———————————————————————————————————————

Base = 54 hight is 3 54x3 is 162 162 divided by 2 is 81.

#3
base=54. height is 3. 54x3 is 162
162 divided by 2 is 81

Help me please I’ll give brainlest

Answers

The answer is A. Because if you subtract 3 from 23 it will be 20 and 20 divided by 2 is 10

Answer:

-17

Step-by-step explanation:

1) rewrite: (3 - n) divided by 2 = 10

2) Multiply both sides: (3-n)/ 2 = 10

3) move constant to the right: 3 - n = 20

4) calculate: -n = 20 - 3 then, -n = 17

5) change signs: n = -17

Hope this helped and wasn’t confusing, good luck! :)

Help pls!! it's urgent.

Answers

Answer:

Step-by-step explanation:

pleasee help find the equation

Answers

Answer:

Step-by-step explanation:

Iii

Answer: i dont even know?

Step-by-step explanation:

which answer is the correct rate of change for the graph

Answers

It is -5/6 Rise/run. Rise is up 5 Run is over 6. If it goes from the top left to the bottom right it is negative so -5/6

Janice trains for a marathon by running the distances shown in the graph.

Which equation models the relationship between the number of weeks Janice trains, x, and the total number of miles she runs, y?

Responses

y=1.5x+2.25
y = 1 . 5 x + 2 . 25

y=2.25x+1.5
y = 2 . 25 x + 1 . 5

y=3x+1.5
y = 3 x + 1 . 5

y=1.5x+3
y = 1 . 5 x + 3

Answers

Answer:

Step-by-step explanation: its the answer of 5/6 rounded

HELP PLS 25 PTS GIVE EXPLANATION ON ANSWER PLS
A 25-foot magazine rack begins 20 feet south of the checkout desk and continues south. What are the coordinates of the beginning and end of the magazine rack? Explain or show how you got your answer. ANSWER CORRECTLY WITH AN EXPLANATION

Answers

Answer: The coordinates of the beginning of the magazine rack are (0,-20), and the coordinates of the end of the magazine rack are (0,-45).

Explanation:

The magazine rack begins 20 feet south of the checkout desk, so its starting point is 20 feet below the x-axis. This gives us the coordinates (0,-20) for the beginning of the rack. Since the rack is 25 feet long, it extends 25 feet to the south of its starting point. Therefore, the endpoint of the rack is 20 feet (the starting point) minus 25 feet (the length of the rack), or -5 feet south of the checkout desk. This gives us the coordinates (0,-45) for the end of the rack.

Brainliest?

The given information tells us that the magazine rack begins 20 feet south of the checkout desk and continues south for a length of 25 feet. Since the magazine rack is only moving in the south direction, we can say that the x-coordinate (horizontal distance) of both points will be the same.

Let's assign the x-coordinate of the checkout desk as 0. Then, the x-coordinate of the beginning and end of the magazine rack will also be 0.

The y-coordinate of the beginning of the magazine rack is 20 feet south of the checkout desk, which means it is 20 feet less than the y-coordinate of the checkout desk. If we assume that the y-coordinate of the checkout desk is y = 0, then the y-coordinate of the beginning of the magazine rack is y = -20.

To find the y-coordinate of the end of the magazine rack, we add the length of the rack (25 feet) to the y-coordinate of the beginning of the rack (-20 feet). This gives us y = 5.

Therefore, the coordinates of the beginning of the magazine rack are (0,-20) and the coordinates of the end of the magazine rack are (0,5).

Use the spinner to find the theoretical probability of the event.
The theoretical probability of spinning a 1 is

Answers

Answer:

3/8

Step-by-step explanation:

There are 8 options, are 3 of them are ones. This means there is a 3 in 8, or 3/8 chance of spinning a one.

There is 8 different choices 3 are ones hence you have a three in eighth chance of getting a one

An art shop has 80 large boxes of markers and 34 small boxes of markers in stock. Each large box contains 48 markers and each small box contains 20 markers.

Which equation could be used to find n, the total number of markers in stock?
A:80 × 48 + 34 × 20= n
B:80 + 48 × 34 + 20 = n
C:80×48−34×20=n
D:80 + 48 + 34 + 20 = n

Answers

The answer would be A
Because if you have 80 large boxes and a large box has 48 makers that would be 80x48 and the same thing for the small boxes which would be 34x20 the you would add both of this to get the total number of makers so it would be 80x48 + 34+20= n

Answer: A

Step-by-step explanation:

Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.

What is the mean number of minutes spent on the phone?

Answers

Answer: 31

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

Find 2/3 of 3/4 of 24

Answers

Answer:

the answer is 12 which is a whole number

Step-by-step explanation:

i just multiplied them into my phone calculator and got the answer then checked my work. i really hope this helps and don't mind to BRAINLIEST PLZ

The answer would be 12 because it is a whole number so can I get Brainlyliest plzzzzzz

Help plz I don't know

Answers

Option 1 cause a is scaled to b then b is scaled to c

La numero 1 es la correcta

I WILL MARK BRAINLIEST IF YOU ANSWER THIS RIGHT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A circle with a radius with 14 feet is cut to 8 equal pieces. How many square feet are 3 of the pieces? use 22/7 for pi.
1,175 square feet
231 square feet
22 square feet
11 square feet

Answers

Answer: The answer is 231 square feet

Please help! I do not understand how to do this..?

Answers

y =2x

......................................

Which equation has the solution x = 3? please answer for all of them x÷3+5=6 2x + 4 = 10 3x + 1 = 9 9÷x−1=4 5x−7=1 9−3x=0 thanks a lot for helping

Answers

Answer:

x÷3+5=6

Step-by-step explanation:

1. (x/3)+5=6

2. x/3=1/3x

3. subtract 5 from both sides and get 1/3x=1

4. multiply both sides by 3 because if u want to find what x equals u need to multiply it so its not 1/3x

(x/3) + 5 =6 hope this helped!! i wish you the best of luck!!

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