Simplify the following algebraic expression:


- 3n(-n+4) - n(3 +7n)

Answer:

You have 3 pennies and your friend has 1 penny

Step-by-step explanation:

The given parameters are;

Let friend A = you

friend B = Your friend

The number of pennies with  friend A when he gives friend B 1 penny = Equal number of pennies between friend A and B

The number of pennies with friend A when he is given 1 penny by friend B = 2 times the number of pennies with friend B

Let the number of pennies with friend A = X and the number of pennies with friend B = Y, therefore, we have;

X - 1 = Y + 1.....................(1)

X + 1 = 2 × Y...................(2)

Subtracting equation (1) from equation (2), we get;

X + 1 - (X - 1) = 2·Y - (Y - 1)

X - X + 1 + 1  = 2·Y - Y + 1

2 = Y + 1

Y = 2 - 1 = 1

Y = 1

From equation (1), X - 1 = Y + 1 gives;

X - 1 = 1 + 1

X = 1 + 1 + 1 = 3

Friend A has 3 pennies and friend B has 1 penny.

Therefore, you have 3 pennies and your friend has 1 penny

Answer:

The answer should be:

y = (6/7)x + 1

Answer:

1. x=2 2. x=23

Step-by-step explanation:

1: 7(x+3) = 39-2x

7x+21 = 39-2x

9x=18; x=2

2. 2x-5 = 1/2(3x-13)

2x-5 = 1.5x-13/2

0.5x=11.5; x=23

Answer:

n does not have a defined value, but it has only one value, it is only possible to determined it in an equality let's say that 5n+21=26 there n =1

but we don't know the value

so it stays as 5n+21

Answer:

1.18 times

Step-by-step explanation:

Given that :

Surface area of Lake Victoria = 26,828 sq miles

How much larger is the surface area of lake superior than that of like Victoria?

The surface area of Lake Superior = 31,700 sq miles

Hence, taking the ratio of the surface area of the two Lakes :

Lake Superior / Lake Victoria

31,700 / 26,828

= 1.1816013

Hence, the surface area of Lake Superior is 1.18 times larger than the surface area of Lake Victoria.

Answer:

a) {-1, 4}

b) {-1, 1, 2, 3, 4, 5, 7, 8}

Step-by-step explanation:

a) The intersection of M and D is all values in M that are also in D. In this case, it is only -1 and 4.

{-1, 4}

b) The union of M and D are all of the distinct numbers in both of the sets.

{-1, 1, 2, 3, 4, 5, 7, 8}

Step-by-step explanation:

It is given that the result displayed on the calculator screen is [tex]1.8E 10^{-4}[/tex]. We need to say out of all options, which options represent the equivalent number.

[tex]1.8\times 10^{-4}=\dfrac{1.8}{10^4}\\\\=\dfrac{1.8}{10000}[/tex] .....(1)

Option (2) is correct i.e. [tex]1.8E10^{-4}=1.8\times 10^{-4}[/tex]

From eq2uation (1)

[tex]\dfrac{1.8}{10000}=\dfrac{18}{100000}\\\\=0.00018[/tex]

Option (4) is correct.

Answer:2

Step-by-step explanation:

The expression contains two terms .

An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

According to the question

The product of -3 and the square of a number decreased by 8

i.e ,

Let  square number = [tex]x^{2}[/tex]

=>  -3[tex]x^{2}[/tex]-8

Hence, The expression contains two terms -3[tex]x^{2}[/tex] and -8 .

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Answer:

1/6 in fraction or 0.166 in decimal

Answer:

Step-by-step explanation:

1.2

Answer:

1 1/5

Step-by-step explanation:

Since the denominators are already all the same, just add the numerators.

Answer:

Yes, he is correct. One correct step is that he divided 72 ounces by 16 (16 ounces in a pound) and multiplied it by 60, to make it pound/minute.

Step-by-step explanation:

72/16=4.5

4.5x60=270

Answer:

Step-by-step explanation:

a² - b² = (a + b) (a - b)

1)x² - 36 = x² - 6² = (x + 6)(x-6)

2) 4x² - 16 = 4x² - 4*4 = 4(x² - 4)

                = 4(x² -2²)

                = 4(x + 4)(x-4)

3) 9x² -1 = 3²x² - 1² = (3x)² - 1²

             =(3x + 1)(3x - 1)

Answer:

√ 4 has the same value as 2.

Step-by-step explanation:

Square root means "a number which produces a specified quantity when multiplied by itself." Therefore, square root 4 and 2 have the same value! Hope this helps!

Answer:

The information that we have is:

"The graph of y=-1/2x+2 is positive over the interval negative infinity and 4 and negative over the interval 4 and infinity."

Now, i guess that the question is:

"What happens on the graph when x = 4 ?"

Well, if for values of x smaller than 4 the graph is negative and for values of x larger than 4 the graph is positive, this must that the graph must cross the x-axis at some point, then with only that information, we can conclude that the graph is equal to zero when x = 4.

But we could also test it with the equation:

y = -(1/2)*x + 2

if we replace the x by a 4.

y = -(1/2)*4 + 2 = -2 + 2 = 0.

Then our previous hypothesis was correct.

Step-by-step explanation:

It is given that, three oil tankers together contain 37 5/7 litres of oil.

Total volume of oil is [tex]\dfrac{264}{7}\ L[/tex]

If two tankers have 11 3/14 litres and 12 3/7 litres of oil.

Oil in first tanker is [tex]\dfrac{157}{14}\ L[/tex]

Oil in second tanker is [tex]\dfrac{87}{7}\ L[/tex]

Oil in first and second tanker is :

[tex]\dfrac{157}{14}\ L+\dfrac{87}{7}\ L=\dfrac{331}{14}\ L[/tex]

Noo, oil in the third tanker = total volume - (Oil in first tanker + second tanker )

[tex]=\dfrac{264}{7}\ L-\dfrac{331}{14}\ L\\\\=\dfrac{197}{14}\ L[/tex]

Hence, this is the required solution.

Answer:

a) 1

b)I would like to help u but i don't understand the question I think something is missing there plus sign or minus sign sry

Step-by-step explanation:

2.5x + 1.25 < 3.75

2.5x < 3.75 - 1.25

2.5x < 2.5

[tex] \frac{2.5x}{2.5} = \frac{2.5}{2.5} [/tex]

x = 1

I hope u like it ‍❤️‍‍❤️‍

For any question comment me

Really sorry for the second question

Answer:

[tex]\sqrt{91}[/tex]  is irrational

Step-by-step explanation:

A rational number is a number that can be written as a ratio. Any whole number is rational number because it can be turned into a ratio.

The [tex]\sqrt{91}[/tex] is irrational.  

3 (or 3/1) is rational.

3/4 is rational

[tex]\sqrt{64}[/tex] = 8 and thus, is rational.

[tex]\sqrt{91}[/tex] = 9.539392014...... and is irrational

10.25 can be written as 41/4 so it's also rational.

This is based on my assumption you mistyped the 2 with the commas.

Answer:

7774

the answer for the problem you are stuck in

Answer:

7

Step-by-step explanation:

D=r*t

r=d/t

r=63/9

r=7

Answer:

27°,63°

Step-by-step explanation:

Let the two angles be a and b.

They are complementary, meaning they add up to 90. Thus:

[tex]a+b=90[/tex]

And we are told their difference is 36. Therefore:

[tex]a-b=36[/tex]

Solve for the system of equations. Add b to both sides in the second equation:

[tex]a=b+36[/tex]

Substitute this into the first:

[tex](b+36)+b=90[/tex]

Combine like terms;

[tex]2b+36=90[/tex]

Subtract 36:

[tex]2b=54[/tex]

Divide by 2:

[tex]b=27[/tex]

So, b is 27 degrees.

Use the second equation again:

[tex]a-b=36[/tex]

Now that we know b is 27, substitute:

[tex]a-27=36[/tex]

Add 27 to both sides:

[tex]a=63[/tex]

So, a is 63 degrees.

And we're done :)

Answer:

27 and 63

Step-by-step explanation:

x - y = 36

x + y = 90

add the equations together

2x = 126

x = 63

substitute x for x in the first equation

63 - y = 36

y = 27

Answer:

10^4

Step-by-step explanation:

lets say the number is 1.0 if you where to move the decimal to the right 4 place the number would then be 10,000.0. basically if it says 10^4 add 4 0's

Moving the decimal point to the right 4 places in a number is the same as multiplying by 10⁻⁴.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Let's consider a decimal number

2.23456 now multiply and divide by 10⁴

⇒ 2.23456 × 10⁴/10⁴

⇒ 22345.6/10⁴

⇒ 22345.6 × 10⁻⁴

Hence"Moving the decimal point to the right 4 places in a number is the same as multiplying by 10⁻⁴".

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Answer:

B

Step-by-step explanation:7 is greater than 2

The correct answer is 367,244.

Number System is a method of representing Numbers on the Number Line with the help of a set of Symbols and rules. These symbols range from 0-9 and are termed as digits. Number System is used to perform mathematical computations ranging from great scientific calculations to calculations.

Positive Numbers: Numbers that are represented on the right side of the zero are termed as Positive Numbers. The value of these numbers increases on moving towards the right. Positive numbers are used for Addition between numbers. Example: 1, 2, 3, 4, …

Negative Numbers: Numbers that are represented on the left side of the zero are termed as Negative Numbers. The value of these numbers decreases on moving towards the left. Negative numbers are used for Subtraction between numbers. Example: -1, -2, -3, -4, …

as per the situation given,

we have number has a thousands digit that is ten times greater than the hundreds digit.

So, the number is 367244 because 7 is 5 greater than 2.

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refer to the attached image

The value of the give expression is, 6260/8591

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given an expression,  9/11 + 3/13 × 26/33 - (21/121÷ 71/111)

9/11 + 3/13 × 26/33 - (21/121÷ 71/111) =

= 9/11+3x2/33-(21/121x111/71)

= 9/11+6/33-2331/8591

= 9/11+2/11-2331/8591

= 1-2331/8591

= 6260/8591

Hence. the value of the give expression is, 6260/8591

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Answer:

a. A statistical that estimates a population parameter

Step-by-step explanation:

A point estimate is a mathematical or statistics term that describes that is used as a means of revealing an estimated value of some parameter. It utilizes a single value, which can sometimes be the statistic mean to carry out the process of point estimation.

Hence, in this case, the correct answer is Option A: A statistical that estimates a population parameter

Answer : The value of 'x' is 8.

Step-by-step explanation :

As we are given that :

NO = 17

NP = 5x - 6

From the given diagram we conclude that NO and OP are equal and RO and OQ are equal. That means,

NO = OP and RO = OQ

That means,

NO = OP = 17

And we know that:

NP = NO + OP

So,

5x - 6 = 17 + 17

5x - 6 = 34

5x = 34 + 6

5x = 40

x = 8

Thus, the value of 'x' is 8.

Answer:

Answer = 57

Step-by-step explanation:

Two prime numbers

whose sum is 61 = 59 , 2

= 59 + 2

= 61

Diffrence = 59 - 2

= 57.

Hope it helps.

Answer:

21/(-6)

Step-by-step explanation:

9/(-3) + 4/(-8)            [find the common denominators]

72/(-24) + 12/(-24)

84/(-24)                    [simplify]

21/(-6)

Answer:

1. = -560

2. = I181

3. = 752

4. = I311

5. = 572

6. = I831

7. = -3450

8. = 5980

9. = -I1121

10. = -I1431

Answer:

1. I= $36, NB = $336

2. R = 5%, NB = $517.50

3. T= 5 YEARS, NB = $612.50

4. P= $675, NB = $783

Step-by-step explanation:

1. p= 300, r=3% t=4year

I= p*r*t

i= 300 * (3/100) * 4

i = 300 * 0.03 * 4

i = 36

New Balance = 300+36 = $336

2. r = (i*100)/(p*t)

= (67.50*100)/(450*3)

= 6750/1350

= 5%

New Balance =450+67.50 = $517.50

3. t= (i*100)/(p*r)

= (112.50*100)/(500*4.5)

= 11250/2250

=5

New Balance = 500+112.50 =$612.50

4. p= (i*100)/(r*t)

= (108*100)/(8*2)

= 10800/16

= $675

New Balance = $675+$108 = $783

Answer: Choice C

[tex]y \ge 4x-5[/tex]

===============================================

Explanation:

First we need to find the equation of the boundary line. This is the line that separates the shaded region versus the non-shaded region.

The boundary line goes through (0,-5) so this is the y intercept, so b = -5

Another point on the boundary line is (1,-1). The slope of the line through (0,-5) and (1,-1) is m = 4. You can use the slope = rise/run idea or you could use the slope formula to get m = 4.

With m = 4 and b = -5, the y = mx+b equation updates to y = 4x-5

The boundary line has the equation y = 4x-5

Because it is a solid boundary line (instead of dashed) and the shading is above the boundary, this means we change the equal sign to "greater than or equal to"

Therefore we get [tex]y \ge 4x-5[/tex]

Note: a solid boundary line means that points on this boundary are included in the solution set. A dashed boundary line would mean you don't include boundary points in the solution set. So that's why there is a "or equal to" portion in the inequality sign.