From a log of wood of length (8x+12) m, a piece of length (4x+3) m was cut. Find the length of the remaining log of wood.


Grade#7

Answers

Answer 1

Answer: 4x+9

Step-by-step explanation: (8x+12)- (4x+3)

Answer 2

Answer: (4x+9)

Step-by-step explanation:

Log of wood = (8x+12)

piece length = (4x+3)

So, (8x+12) - (4x+3)

=> (8x+12) - 4x - 3

=> 8x-4x +12 -3

=> 4x + 9

So, the length of the remaining piece of wood = (4x+9)

hope it helps


Related Questions

Use​ the translation (x,y) (x + 1, y - 3) to graph​ the image of triangle DEF

Represent graphically triangle DEF and D'E'F.

Due in 20 minutes pls answer asap

Answers

Answer:312357

Step-by-step explanation:



Answer:

The middle one.

Step-by-step explanation:

For every coordinate, add 1 to x-axis and add (-3) to the y-axis

Can anyone help me answer these questions, PLSSSSS?

Answers

so so I have attached a picture with my

45 is the median because it’s half of the bar

What is 5/6 of 14 1/2?

PLEASE explain how it is!

please help its last question and i been on it for 15 minutes

Answers

Answer:

5/6 of 14 1/2 is 12.08333333

Step-by-step explanation:

14 1/2 = 14.5

14 = 14

and 1/2 = 0.5

now, you take 14.5 and divide by the denominator of the fraction that you have, which is 6

14.5 ÷ 6 = 2.416666667

and now you take 2.416666667 and multiply that by 5, because you are trying to find 5/6 of this number

2.416666667 × 5 = 12.08333333

So your answer is 12.08333333

It’s 12 1/12.
You basically just multiply 5/6 and 14 1/2 which is 145/12 and that simplified is 12 1/12

i just need the area. please no wrong answer

Answers

Answer:

78m^2

Step-by-step explanation:

to find the rectangle:

6×9=54m^2

for one triangle:

4×6=24

24÷2=12

both triangles: 12+12=24

area all together= 24+54=78m^2

Formula for area of trapezium= 1/2h(a+b)
1/2 x 6(17+9)
3(26)
78m^2

Can someone help please!

Answers

Answer:

21.4

Step-by-step explanation:

First, you divide and determine the sign. 9.6/6 x (-3)+7

Then you evaluate.  1.6x 3^2 +7

Then you multiply. 1.6 x 9 + 7

Then you calculate  14.4+7

Equals  21.4

Step 1. We add the numbers for Step 2. 22/1.25

- 12 - 6

/ 6

Step 3. 88-2

1 Caculate 88 -2./6 divison first then subtraction.

Triangle CAT has vertices C(-4,5), A(3,-1), and T(-2,-7). What are the coordinates of the image after a 270° counterclockwise rotation about the origin? Remember to include parentheses and do NOT include any spaces.
C'
A'
T'​

Answers

From my understanding and your lack of a picture:

The triangle CAT has rotated in 90 degrees clockwise direction about the origin or 270 degrees counterclockwise direction about the origin.

Step-by-step explanation:

From the given figure it is noticed that the coordinates of the vertices of the pre-image are C(-2,1), A(-3,3) and T(1,1). The coordinates of the vertices of the image are C'(1,2), A'(3,3) and T(1,-1).

From these coordinates, we can conclude that the relation between the preimage and image is

If a figure rotated 90 degrees clockwise direction about the origin, then

Therefore triangle CAT is rotated 90 degrees clockwise direction about the origin or 270 degrees counterclockwise direction about the origin.

Do a and b please. Thanks.

Answers

Answer:

(a).

Trapezium:

(25+100)÷2×50

=62.5×50

=3125m²

Parallelogram:

100×30

=3000m²

Total:

3125+3000

=6125m²

(a) Explanation:

Area of Trapezium=

(a+b)÷2×h

Area of Parallelogram=

length×wide

(b).

6125÷100×190

=61.25×190

=£11637.5

The person above me is correct
Explanation:
I did the test

Marta has a lemonade stand. She sells 40 cups of lemonade for $10 each the entire week. How much money did she make that week?

Answers

Answer:

Marta earned $400

Step-by-step explanation:

40×10=400

Deanna gets 3 problems incorrect on her quiz. Her score is 85%. How many questions are on the quiz?

Answers

Let's start by seeing what percentage is incorrect.

100-85=15

So, 15% is incorrect when answering 3 problems wrong. So let's divide 15 by 3.

15÷3=5

So, each problem is worth 5%, let's divide 100 by 5. The reason I'm doing this is to find out how many questions are on the quiz since if you got them all right, it's 100.

100÷5

20

There are 20 questions, let's make sure this is correct.

If she got 3 wrong, she got 17 right. Let's calculate her percentage and make sure it is the right one.

17÷20

.85×100

85%

Answer: So, there are 20 questions on the math quiz.

Answer:

20 questions

Step-by-step explanation:

Deanna got 15% incorrect

The 15% is equal to the 3 questions she got wrong

Divide 15 by 3 to get 5

Then, divide 100% by 5 to get 20

Therefore, there are 20 questions of the test

Shelby’s recipe says to add 3/4 cup of brown sugar and 1/8 cup of white sugar how much sugar recipe call for altogether

Answers

Answer:

3/4 cup = 6/8 cup

1/8 cup = 1/8 cup

Now you can add the two fractions:

6/8 cup + 1/8 cup = 7/8 cup

Therefore, the recipe calls for 7/8 cup of sugar altogether.

Step-by-step explanation:

Altogether the amount of sugar Shelby needs is 7/8

Factor the expression completely.
32+40x

Answers

We can factor out 8 from both terms:

32 + 40x = 8(4 + 5x)

Therefore, the expression is factored completely as 8(4 + 5x).

Answer:

8(4+5x)

Step-by-step explanation:

32 and 40 can both be divided by 8 leaving it with 4 and 5

so it'll be 8(4+5x)

Use the drop-down menus to complete the statements below to answer this question: Can you determine whether a system of linear equations has a solution just by looking at the graph of the equations?


The coordinates of (−6,4) satisfy the equation y=13x + 6 because (−6,4) ___.


If (−6,4) satisfies the equations of two lines, (−6,4) is ___ , so the lines will ___ at (−6,4).

This means that if two lines ____ at (−6,4), then (−6,4) is the ____ to the system of equations.

This means that if you substitute −6 for x and 4 for y in the equations, both equations will be ____.

Answers

Answer:

The coordinates of (−6,4) satisfy the equation y=13x + 6 because (−6,4) makes the equation true.

If (−6,4) satisfies the equations of two lines, (−6,4) is a point on both lines, so the lines will intersect at (−6,4).

This means that if two lines intersect at (−6,4), then (−6,4) is the solution to the system of equations.

This means that if you substitute −6 for x and 4 for y in the equations, both equations will be true. However, this information alone is not enough to determine whether a system of linear equations has a solution just by looking at the graph of the equations

Step-by-step explanation:

I Got You Bro

The coordinates of (−6,4) satisfy the equation y=13x + 6 because (−6,4) makes the equation true.

If (−6,4) satisfies the equations of two lines, (−6,4) is a point on both lines, so the lines will intersect at (−6,4).

What is Coordinate Geometry?

A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.

The coordinates of (−6,4) satisfy the equation y=13x + 6 because (−6,4) makes the equation true.

If (−6,4) satisfies the equations of two lines, (−6,4) is a point on both lines, so the lines will intersect at (−6,4).

This means that if two lines intersect at (−6,4), then (−6,4) is the solution to the system of equations.

This means that if you substitute −6 for x and 4 for y in the equations, both equations will be true.

However, this information alone is not enough to determine whether a system of linear equations has a solution just by looking at the graph of the equations

Hence, the coordinates of (−6,4) satisfy the equation y=13x + 6 because (−6,4) makes the equation true.

To learn more on Coordinate Geometry click:

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∩ ° ∠ ° ∩ ⇒ what conclusion can be drawn from the quiz score s shown below ?

ken ’ s class : ∫ 72 , 78 , 83 , 84 , 85 , 87, 92 ∫
judy ’ s class : ∫ 76 , 78 , 85 , 87 , 89 , 92 , 98 ∫

CHOICE A ⇒ the test score s in ken ’ s class are more spread out compared to those in judy ' s class .

CHOICE B ⇒ the median score is equal to the mean score in both classes .

CHOICE C ⇒ the mean score is greater in judy ’ s class compared to ken ’ s class .

CHOICE D ⇒ the median score in ken ’ s class is greater than the median score in judy ’ s class .

Answers

the meadian score is greater in Judy’s class compared to Ken’s class.

Kens class has a mean score of 83, and Judy's class has a mean score of 86.43(rounded) so, judging by the mean, Judy's class is smarter. If we take a look at the median, (Ken: 84, and Judy: 87) then Judy's class is smarter. So, overall Judy's class is smarter than Ken's class.

i need help please. i don't understand this.

Answers

Vertical Angles: FGH and KGJ, KGF and HGJ

Adjacent Angles: KGF and FGH, KGF and KGJ, HGJ and JGK, FGH and HGJ

Vertical Angles are angles that are equal and sit across from each other. Adjacent Angles are angles that share a common side. If that makes sense.

Hope this helps.

i really need help please

Answers

-4, -1, 1, 3, 3.9, 3.99 and 3.999

Answer:

-4, -1, 1, 3, 3.9, 3.99, 3.999

<33

What is the total value, in cents, of j coins worth 10 cents each and j+5 coins worth 25 cents each?

(NEED STEP- BY- STEP EXPLANATIONS!)

Answers

So, it's really quit simple. To figure out the value of 'j', you will need to subtract. If j+5=25, then you would do 25-5=20. Therefore, j=20. Is that your question?

WHAT AM I DOING?! HELP
find the distance between Union and Santa Cruz if they are 3cm apart on a map this a scale of 1cm: 13km.

Answers

With the scale being 1cm: 13km your answer will be 39. This scale means that every cm equals 13km. Since they are 3 cm apart on the map, you do 3•13 to find how far they are truly. (3•13=39)

Answer:

The answer to your problem is, 39 kilometers

Step-by-step explanation:

We know that 1 centimeters on a map is 13 kilometers based on what the question is saying.

So we need to multiply 13 x 3 since in the question it quotes " 3 cm apart on a map . . . "

So lets do some multiplying:

13 x 3 =

3 x 10 = 30.

3 x 3 = 9.

30 + 9 = 39.

Thus the answer to your problem is, 39 kilometers

which expression is equivalent to 12+10d-(-4)-(-8d)

Answers

Its
12+10d-(-4)-(-8d)=
12+10d+4+8d=
16+8d
16+18d. I hope that helps

im looking for the volume of a sphere with a radius of 5 and for pi we are using 3.14
what would be my answer?

Answers

Answer: 523.3

Explanation: Formula for Volume of Sphere is 4/3 pi radius cubed. When we plug in 5 for the radius the answer rounded to 1 decimal place is 523.3.
523.3 with the formula for a sphere

pt2 help????????????

Answers

Answer: 2ft

Step-by-step explanation:

answer:
2ft

explaination:

The volume of a cylinder is 630 cubic centimeters. What is the volume of a similar cylinder that has been reduced by a scale factor of 13
? round to your nearest tenth place

Answers

Answer:

Step-by-step explanation:

ifddergfergwrtg

630 / 13 = 48.46153846
Ans = 48.5 (nearest tenth)

HELP WILL GIVE BRAINLIEST TO THE BEST ANSWER!
Looking at the spread of your data best fits which step of the statistical process? (4 points) Form a question that can be answered by data. Design and implement a plan that collects data. Analyze the data using graphical and numerical methods. Interpret and compare the data.

Answers

Answer:

Analyze the data using graphical and numerical methods

Step-by-step explanation:

I had this question I promise its right

anzylze the data. your welcome

I need the formula for a cone the height is 10 and the radius is 4 and for Pi we are using 3.14 :)

Answers

This is the formula.
the formula is V= r2 h/3

How can I use bar diagrams to help divide a whole number by a unit fraction

Answers

Answer: Bar models can help visualize the process when you divide.

Step-by-step explanation: To do this, you need to know your original amount, in this example it is 3, and the amount you are dividing into, in this case it's ½. A bar is then drawn to represent this amount. The whole bar is split into single units (bars of one). You then split each single unit into two halves.

please help math sucks

Answers

Answer:

first one

Step-by-step explanation:

The answer would be A.

Find the value of k plsssssss

Answers

Answer:

its -3

Step-by-step explanation:

because the second line or blue one starts at y=0 and to get that you must plug in an answer that will give you an equvlant to y=x

so y=(x+k)+3 then what plus or minus 3 gives you 3 the answer is -3 because -3+3 equals 0so that of course means the finle euation is y=(x-3)+3hope that helps buddy
the answer is: k is equal to -3

x-y^3 :x= -7, y=3
PLEASEEEE HELP!

Answers

Answer:

-34

Step-by-step explanation:

-7-3^3

-7-27

-34

Answer: SOLVE FOR X, Y

x = - 7/1-y3

y = 3, y3 doesnt no = 1

Step-by-step explanation:

Triangle CAT has vertices C(-4,5), A(3,-1), and T(-2,-7). What are the coordinates of the image after a reflection over the y-axis? Remember to includes parentheses and do NOT include any spaces.
C'
А'
T'​

Answers

C(-4,-5), A(3,1), T(-2,7). X values of the coordinates remain the same while Y values change their signs. This is because the point will not move vertically when reflecting over the Y-axis, but it will have the same horizontal distance from the y-axis in the opposite direction.

simplify the sum state any restrictions on the variables (x+6)/x^2-36 + 1/x-6
PLEASE SHOW YOUR WORK

Answers

Answer:

x 6

Step-by-step explanation:

Simplify The Equation,

[tex] \frac{(x + 6)}{x {}^{2} - 36} + \frac{1}{x - 6} \\ = \frac{(x + 6)}{ ({x})^{2} -(6)^{2} } + \frac{1}{x - 6} \\ = \frac{(x + 6)}{(x + 6)(x - 6)} + \frac{1}{x - 6} \\ = \frac{(x + 6) + 1(x + 6)}{(x + 6)(x - 6)} \\ = \frac{x + 6 + 1x + 6}{(x +6)(x - 6)} \\ = \frac{2x + 12}{(x + 6)(x - 6)} [/tex]

Factorize The Equation,

[tex] \frac{2x + 12}{(x + 6)(x - 6)} \\ = \frac{2(x + 6)}{(x + 6)(x - 6)} \\ = \frac{2}{x - 6} [/tex]

From the Given function,

x-6 ≠ 0

x ≠ 6

Thus x ≠ 6 is a restriction.

The solution is : x ≠ 6, is a restriction on the variables

(x+6)/x^2-36 + 1/x-6.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

Simplify The Equation,

(x+6)/x^2-36 + 1/x-6

=(x+6)/(x-6) (x+6) + 1/x-6

= (x+6)+(x+6) /(x-6) (x+6)

=(2x+12)/(x-6) (x+6)

Factorize The Equation,

(2x+12)/(x-6) (x+6)

= 2(x+6) /(x-6) (x+6)

=2/ (x-6)

From the Given function,

x-6 ≠ 0

x ≠ 6

Thus x ≠ 6 is a restriction.

To learn more on simplification click:

brainly.com/question/28996879

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WILL GIVE BRAINLIEST!HURRY! At the end of practice, there are 240 ounces of sports drink left in the cooler. Every player had some sports drink from the cooler. Based on the equation, y= 648 - 24x, how many players were at practice?

10

15

17

21

Answers

Answer:

Hello!

The answers are:

B. Before practice, there are 648 ounces of sports drink in the cooler.

C. Each plater drinks approximately 24 ounces of sports drink at practice.

E. For each additional player that takes a drink, there will be approximately  24 fewer ounces of sporks drink remaining after the practice.

Why?

We are given the equation:

Let's discard each of the given options in order to find the three correct options.

A. The cooler is meant to be used only by 24 players: False.

If we want to calculate how many players can use the cooler, we need to isolate "x" (rate of change) from the given equation, so, isolating we have:

We have that the cooler can be used by 27 players, so, the first option that states that "The cooler is meant to be used only by 24 players" is false.

B. Before practice, there are 648 ounces of sports drink in the cooler: True.

We have that before the practice when the cooler is not being used by any player (or there is no any player) has 648 ounces (full), we can calculate it making the variable "x" equal to 0, so, calculating we have:

Therefore, we have that the statement "Before practice, there are 648 ounces of sports drink in the cooler." is true.

C. Each plater drinks approximately 24 ounces of sports drink at practice: True.

From the statement, we know that the rate of change is equal to (-24), and it's equal to the number of ounces that each player drinks.

Hence, we have that the statement  "Each plater drinks approximately 24 ounces of sports drink at practice." is true.

D. If  24 players get drinks from the cooler, they will drink a total of 648 ounces of sports drink: False.

If we want to calculate the number of ounces that 24 players will drink, we need to use the slope value. If we know that each player drinks 24 ounces, so, to calculate how many ounces of sports drink will 24 players drink, we need to use the following equation:

We have that 24 players will drink a total of 576 ounces, so, the statement "If  24 players get drinks from the cooler, they will drink a total of 648 ounces of sports drink." is false.

E. For each additional player that takes a drink, there will be approximately 24 fewer ounces of sporks drink remaining after the practice: True.

From the statement and the equation, we know that the slope (rate of change) is negative, meaning that for each player (x) it will be 24 fewer ounces of sports drink after practice, for example, calculating for 1 and 2 players, we have:

We can see that for each player, it will be 24 fewer ounces of sports drink after practice.

Hence, we have that the statement "For each additional player that takes a drink, there will be approximately  24 fewer ounces of sporks drink remaining after the practice." is true.

Therefore, the correct options are:

B. Before practice, there are 648 ounces of sports drink in the cooler.

C. Each plater drinks approximately 24 ounces of sports drink at practice.

E. For each additional player that takes a drink, there will be approximately  24 fewer ounces of sporks drink remaining after the practice.

Have a nice day!

Answer:

17

Step-by-step explanation:

240=648-24x

24x=648-240

24x=408

x=408/24

x=17

Other Questions
A company named Nyopoly uses its Name-Your-Own-Price (NYOP) website to sell a variety of highquality merchandise, including clothing, shoes, jewelry, and handbags. Nyopoly has found that there is a lot of diversity across customers regarding their frequency of visits, bid levels, and retention rates. As a result, they have divided customers into five distinct segments: Bargain Hunters, Browsers, Bling Magnets, Gift Givers, and Sophisticates. The table below gives the expected annual monetary purchases ($), margin (%) and retention rate (%). Note, revenue is earned only on active customers (i.e., those who are retained from one year to the next). Bargain Hunters Browsers Gift Givers Bling Magnets Sophisticates Annual Purchases $100 $50 $100 $150 $300 Margin Earned 70% 35% 40% 25% 40% Retention Rate 30% 50% 60% 70% 60% 1) Use the Excel spreadsheet "CLV.xlsx" to calculate the expected Customer Lifetime Value for a representative customer from each of the five segments. For these calculations, use a 5-year time horizon and a 5% annual discount rate. (a) What is the Customer Lifetime Value for a Bargain Hunter? (b) What is the Customer Lifetime Value for a Browser? (c) What is the Customer Lifetime Value for a Gift Giver? (d) What is the Customer Lifetime Value for a Bling Magnet? (e) What is the Customer Lifetime Value for a Sophisticate? 2) Customers from some segments are more difficult to attract than others. The expected cost of obtaining a Bargain Hunter is $90. The expected cost of obtaining a Bling Magnet is $30. The expected cost of obtaining a Browser is $50. The expected cost of obtaining a Gift Giver is $75. The expected cost of obtaining a Sophisticate is $250. (a) For which customer segments does the CLV (calculated in question 1) exceed the acquisition cost? 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