A fence is made from 32 identical pieces of wood, each of length 2 metres correct to nearest centimetre.
Calculate the lower bound for the total length of wood used to make this fence.
Write your answer in full calculator display.​

Answer:

a) 2*a*b - a/b

b)  c² + d + 2*c*d

c)  c + c²

d) (1 + b)/(2*b)

e)  p*q - 3*(p+q)

f) n²/(n+5)³

Step-by-step explanation:

We can divide each statement into its parts, as follows:

a) The difference between:

b) The sum of:

c) The sum of:

d) The quotient of:

e)

f) The quotient of:

All the algebraic expressions are written as,

a) 2ab - (a/b)

b) c² + d + 2cd

c)  c + c²

d) (1 + b)/(2b)

e)  pq - 3(p+q)

f) n²/(n+5)³

Used the method of a mathematical expression,

Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, simplify all the expressions for mathematical form as,

a) The difference between twice the product of a and b and the quotient of these numbers.

Here, twice the product of a and b is,

2 × (ab)

And, the quotient of these numbers is,

a/b

Hence, it can be written as,

[tex]2ab - \dfrac{a}{b}[/tex]

b) The sum of squares of c and d increased by twice their product.

Here, d increased by twice their product is,

d + 2cd

And, The sum of squares of c and d increased by twice their product is,

c² + (d + 2cd)

c) The sum of a number c and its square is,

c + c²

d) Now, the number that is 1 greater than a number b is,

1 + b

And the number that is twice as large as b,

2b

So, The quotient of the numbers,

(1 + b)./2b

e) Now, The product of two numbers, p, and q is,

p × q

And, it is decreased by three times their sum:

p × q - 3 (p+q)

pq - 3 (p + q)

f) Now, the square of a number n is, n²

and the cube of n increased by 5 is, (n+5)³

So, The quotient is,

n² / (n + 5)³

To learn more about the mathematical expression visit:

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Answer:

5760+ 90π m³       or     ≈ 6042.74 m³

Step-by-step explanation:

V = πr²h + (l×w×h)

  = π3²10 + (20×16×18)

  = 90π + (5760)

  = 6042.7433388

Answer:

1

Step-by-step explanation:

6=3+3p

6-3=3p

3=3p

3/3=p

1=p

Answer:

p=1

Step-by-step explanation:

6 = 3 + 3p

Subtract 3 from each side

6-3 = 3-3 + 3p

3 = 3p

Divide by 3

3/3 = 3p/3

1 = p

Answer:

B. (-9/2, -11/2)

Step-by-step explanation:

-12+3 / 2 = -9/2

-3+-8 / 2 = -11/2

Answer: the answer is C. 80°

Step-by-step explanation:

= 360 - 110 - 90

=160°

b=1/2 (160)

b=80°

Answer:

C. 80 degrees

Step-by-step explanation:

The measure of the given arcs are 90 and 110.

Subtract those values from 360

= 360 - 90 -110

= 160

The angle b is half of 160 degrees, the measure of the arc that intercepts it.

Therefore, it measures 80 degrees.

Hope this helps :)

Answer:

5.627

Step-by-step explanation:

[tex]5 \times 1 + 6 \times \bigg( \frac{1}{10} \bigg) + 2 \times \bigg( \frac{1}{100} \bigg) + 7\times \bigg( \frac{1}{1000} \bigg) \\ \\ = 5 + 0.6 + 0.02 + 0.007 \\ \\ = 5.627[/tex]

Answer:

c

Step-by-step explanation:

Answer:

f(-2)=g(-2)

Step-by-step explanation:

f(-2)=g(-2) and point (-2, 4)

Answer: $6,000

Step-by-step explanation: If set up correctly, the value of the car at the end of 2006 times 0.6 (because the car is losing 0.4 of its value, so it keeps 0.6 of its value) should get you the value of the car at the end of 2007.

The equation should look like this:

(value of the car at the end of 2006) x 0.6 = (value of the car at the end of 2007)

Then you substitute: (value at the end of 2006) x 0.6 = 3600

Then divide: (value at the end of 2006) = 0.6 ÷ 3600

Then substitute again: (value at the end of 2006) = 6,000

Hope this helped you! Feel free to ask me any questions!

Answer: the system of inequalities are

x + y ≤ 14

18x + 38y = 342

Step-by-step explanation:

Let x represent the number of iPad chargers sold.

Let y represent the number of keyboards sold.

At the end of the day, he knows he sold a maximum of 14 items. This is expressed as

x + y ≤ 14

If he

charged $18 for each iPad charger (x) and $38 for each keyboard (y) and earned a total of $342, the expression would be

18x + 38y = 342

Answer:

A

Step-by-step explanation:

Answer:

-7-(-4)= -3

Step-by-step explanation:

Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive.

Answer:

The answer would be 33x - 15

Answer:

97 square miles

Step-by-step explanation:

Let us divide this figure into rectangles, each of set dimensions;

[tex]Dimensions of Rectangle A - Height ; 2 mi, Length ; 9 mi\\Area of Rectangle A - Height * Length = 2 mi * 9 mi = 18 square miles,\\\\Dimensions of Rectangle B - Height ; 2 mi + 5 mi = 7 mi, Length ; 5 mi\\Area of Rectangle B - Height * Length = 7 mi * 5 mi = 35 square miles,\\\\Dimensions of Rectangle C - Height ; 4 mi + 5 mi + 2 mi = 11 mi, Length ; 4 mi,\\Area of Rectangle C - Height * Length = 11 mi * 4 mi = 44 square miles,\\\\Area of Figure = 18 + 35 + 44 = 97 square miles[/tex]

Solution; 97 square miles

Answer:

[tex]g(x)=f(-x)=\frac{3}{8}(4)^{-x}[/tex]

Step-by-step explanation:

The pre-image is

[tex]f(x)=\frac{3}{8}(4)^{x}[/tex]

To make a reflection across the y-axis, we need to apply the transformation

[tex](x,y) \implies (-x,y)[/tex]

Which give the function

[tex]g(x)=f(-x)=\frac{3}{8}(4)^{-x}[/tex]

Therefore, the right answer is the last choice.

Answer:

D

Step-by-step explanation:

Answer:

$0.95 is the price of the thick rope.

Step-by-step explanation:

$6.09 - $4.19 = $1.9. $1.9 / 2 = $0.95.

Answer:

Option C is correct

Step-by-step explanation:

Given: inequality is [tex]50-3.50x>100-6x[/tex]

To find: situation that can be represented by the given inequality

Solution:

Cost of Dunkin Donuts gift card with Daniel = $50

Amount spent by Daniel per day = $3.50

Cost of Dunkin Donuts gift card with David = $100

Amount spent by David per day = $6

Amount left with Daniel after x days = [tex]\$(50-3.50x)[/tex]

Amount left with David after x days = [tex]\$(100-6x)[/tex]

According to question,

Amount left with Daniel after x days > Amount left with David after x days

[tex]50-3.50x>100-6x[/tex]

So, he inequality that satisfies the situation is [tex]50-3.50x>100-6x[/tex]

Option C is correct

Answer: 25%

Step-by-step explanation: So, I think we know it's 50% chance to get heads or tails. But what's the chance of getting heads two times in a row....let's see...

[tex]\frac{1}{2} * \frac{1}{2} = \frac{1}{4}[/tex]

Let's turn [tex]\frac{1}{4}[/tex] into a decimal...

1 ÷ 4 = 0.25

0.25 * 100 = 25

= 25%

Thus, you have a 25% to get heads two times in a row...I hope this helps!

Answer: If you have a positive and a negative, there is one dash left over, and the answer is negative.

Answer:

Postive plus negative equals negative

Step-by-step explanation:

An example is:

[tex]4-8=-4[/tex]

You see how it is a negative

Hope this helps

Answer:

20

Step-by-step explanation:

Because this is a right triangle, you can use the Pythagorean Theorem, a^2 + b^2 = c^2.  a and b are your legs and c is your hypotenuse, so you have 21^2 + b^2 = 29^2. This equals to 441 + b^2 = 841. subtract 441 from both sides and you are left with b^2 = 400. take the square root of both sides to get your answer b = 20, or x = 20.

Answer:

x = 20

Step-by-step explanation:

→You can use the Pythagorean Theorem to solve this:

[tex]a^2 +b^2=c^2[/tex]

→The "a," and "b," are the legs, 21 and x, while the "c," is the hypotenuse, 29. In this case, we are trying to find the value of a leg:

[tex]21^2+b^2=29^2[/tex]

[tex]441+b^2=841[/tex]

→Subtract 441 from both sides:

[tex]b^2=400[/tex]

→To get "b," by itself, you must take the square root of both sides, like so:

[tex]\sqrt{b^2} =\sqrt{400}[/tex]

[tex]b = 20[/tex]

Answer:

332.64 m²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 26.4 and h = 12.6 , thus

A = 26.4 × 12.6 = 332.64 m²

Answer:

3.5

Step-by-step explanation:

-14/-4=3.5

Answer:

x - 12

Step-by-step explanation:

2x divided by 2 equals x

24 divided by 2 equals 12

x-12

Plz make me brainliest

Answer:

The second option you listed: x + y = 4 gives the same line as H, and therefore renders infinite number of solutions (as many as every point on the line)

Step-by-step explanation:

We need to look for the equation that exactly matches the given one :

2 x + 2 y = 8

notice dividing both sides of this equation by "2" we get:

x + y = 4

SO this equation represents exactly the same line as 2 x + 2 y = 8 does, and therefore their graphs overlap completely

Answer:

I think 8n >_ 60

Im not sure but thats what i put

Step-by-step explanation:

The inequality where n represents the minimum number of packs the teacher needs to buy is: 8n ≥ 60.

Inequality is an expression or statement of an order relationship, which involves the use of inequality signs, variables, numbers and/or algebraic expressions.

Thus:

n = number of brushes in a pack

The teacher must buy 60 brushes and above.

Thus:

8n ≥ 60 will represent the minimum number of brushes for the class.

Therefore, the inequality where n represents the minimum number of packs the teacher needs to buy is: 8n ≥ 60.

Learn more about inequality on:

https://brainly.com/question/11613554

Answer:

The three angles form a "linear triplet" ,  so their measures must add up to [tex]180^o[/tex]

Step-by-step explanation:

Notice that the three angles add up to cover half a circle (therefore 180 degrees of angle. Such type of angle combination is called a "linear triplet" since they add up to give a straight line.

The answer is 117 inches^3

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] = 117 \: {in}^{3} \\ [/tex]

Step-by-step explanation:

[tex]v = whl \\ = 4 \times 4 \frac{1}{2} \times 6 \frac{1}{2} \\ = 4 \times \frac{9}{2} \times \frac{13}{2} \\ = \frac{468}{4} \\ = 117 \: {in}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

-5

Step-by-step explanation:

The initial value is the value of y when x has the value of 0.

Substitute 'x' for '0' and solve for 'y':

[tex]y=-2(0)-5\\\rightarrow -2*0=0\\y=0-5\\\boxed{y=-5}[/tex]

Option A should be correct.

Answer: -5

Step-by-step explanation:

Y= -2x - 5

+2. +2

-------------

Y= x(0)-5

So the initial value would be -5 because that would be x=0. Sorry if this is complicated I havent done it since the beginning of 6th grade.