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

Answer:

Step-by-step explanation:

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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

Answer:

Analyze the data using graphical and numerical methods

Step-by-step explanation:

I had this question I promise its right

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.

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

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.

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.

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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?

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

so so I have attached a picture with my

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).

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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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

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

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:

Answer:

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

<33

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

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 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.

Answer: 2ft

Step-by-step explanation:

Answer:

Marta earned $400

Step-by-step explanation:

40×10=400

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

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)

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:

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

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.

Answer:

first one

Step-by-step explanation: