Use the distributive property to clear parentheses

Answer:

Average = 2000

Step-by-step explanation:

Given numbers are:

1,000 2,300 2,600

To find:

First round off the numbers to nearest 1000 and then find Average.

Solution:

1000 is already in thousands so no need to round off.

To round off a number to nearest thousand, we need check the digit on hundred's place.

So, 2300 will be rounded off as 2000.

and 2600 will be rounded off as 3000.

Now, the numbers whose average is to be calculated are 1000, 2000, 3000.

Formula for average is given as:

[tex]Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}[/tex]

applying the formula:

[tex]Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}[/tex]

So, the average after rounding off to nearest 1000 is 2000.

Answer:

x = -2

Step-by-step explanation:

To solve for x always get x on one side

First add 4 on each side, 4 + 7x - 4 = -18 + 4

Next subtract 18 from 4, making it -14    7x = -14

Now divide 7 on each side, x = -2

Answer:

a) 4⁻³ = 1/64 = 0.015625

b)13⁻² = 1/169 = 0.0059171598

c)(-3)⁻² = 1/-3² = 0.1111111111

Step-by-step explanation:

To solve the question above, when we have an integer ( positive or negative) that is raised to a negative power, this means the reciprocal of that integer raised to the positive power

Example:

a⁻ⁿ = 1/aⁿ

a) 4⁻³ = 1/4³

= 1/(4 × 4 × 4)

= 1/64

= 0.015625

b) 13⁻² = 1/13²

= 1/(13 × 13)

= 1/169

= 0.0059171598

c)(-3)⁻² = 1/-3²

= 1/(-3 × -3)

= 1/9

= 0.1111111111

Answer:

1.) Jill = 11 yrs & Jack = 14 yrs. | 2.) (x + 4)(x + 3)

Step-by-step explanation:

1.)

Let j = Jill's age.

[tex]j+(j+3)=25\\2j+3=25\\2j=22\\j=11\\\\\\(11)+3=14[/tex]

Therefore, Jill is 11 and Jack is 14.

2.)

[tex]x^2+7x+12\\(x+4)(x+3)[/tex]

Step-by-step explanation:

Since Ca(OH)2 is Basic, we need to find pOH:

pOH = - log [OH-]

pOH = - log(0.0001)

pOH = - ( - 4)

pOH = 4

Since, pH + pOH = 14

Therefore,

pH of 0.0001M sol. of Ca(OH)2 = 10

Answer:

The vertex is (3,4)

Step-by-step explanation:

f (x) = x^2 - 6 x + 13

Completing the square

-6/2 = -3 and squaring it = 9

    = x^2 -6x +9 +4

   = ( x-3) ^2 +4

The equation is now in vertex form

a( x-h) ^2 +k

where the vertex is ( h,k)

The vertex is (3,4)

Answer:

C on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use the Pythagoras theorem to find the missing side

Using the Pythagoras theorem

That's

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

From the question

x is the hypotenuse or the longest side of the triangle

Substituting the values into the above formula we have

[tex] {x}^{2} = {9}^{2} + {7}^{2} [/tex]

[tex] {x}^{2} = 81 + 49[/tex]

[tex] {x}^{2} = 130[/tex]

Find the square root of both sides

We have the final answer as

Hope this helps you

Answer:

8.555.... is a irrationtional number .

Answer:

6.8 gallions i believe. im not quite sure

Answer:

[tex]t = \frac{ v_{1} - v_{0}}{a} \\[/tex]

Step-by-step explanation:

[tex]a = \frac{v_{1} - v_{0}}{t} \\ a \times t = v_{1} - v_{0} \\ \frac{at}{a} = \frac{ v_{1} - v_{0} }{a} \\ t = \frac{ v_{1} - v_{0}}{a} \\ [/tex]

Answer:

50.8%

Step-by-step explanation:

Convert fraction (ratio) 33 / 65 Answer: 50.769230769231%

Answer:

7 block s

Step-by-step explanation:

3 from North plus

4 from West

4+3=7

Answer:

s = 40.2 m

Step-by-step explanation:

It is given that,

Initial speed of the car, u = 0 m/s

Final speed of the car, v = 13.6 m/s

Acceleration of the car, a = 2.3 m/s²

We need to find the distance, s, that it has travelled since stopping at the lights. For this, we will use third equation of motion as :

[tex]v^2-u^2=2as[/tex]

s is distance

[tex]s=\dfrac{v^2-u^2}{2a}\\\\s=\dfrac{(13.6)^2-0}{2\times 2.3}\\\\s=40.2\ m[/tex]

So, the distance covered by the car is 40.2 meters.

Answer:

2 added to cube of 5 times x

Step-by-step explanation:

Answer:

2 plus cube 5 times.

cube = (³).

times = (multiplying).

Answer:

A. Zero.

Step-by-step explanation:

Technically, the correct answer is "undefined", as there will be infinite change in the slope amount. However, of all the given choices, Zero should be the best answer. However, if it is wrong, do ask your teacher, and state that undefined should be the answer choice, and that credit should be rewarded for such.

Answer:

70.6x 10-⁵ is answer of first

Step-by-step explanation:

1. c

2. a

3. c

4. c

5. d

6. b

7. a

8. b

9. c

Answer:

r = 6

Step-by-step explanation:

Hello!

-8 - 2(7r + 1) = -94

Add 8 to both sides

-2(7r + 1) = -86

Divide both sides by -2

7r + 1 = 43

Subtract 1 from both sides

7r = 42

Divide both sides by 7

r = 6

Hope this Helps

-5+6=1 because if it's not a normal equation it has a negative

Answer:

1

Step-by-step explanation:

When adding a negative and a positive number, subtract the biggest number from the smallest (ignore the signs), so :

[tex]6-5=1[/tex]

After you have your answer, keep the symbol of the bigger number (pay attention to the signs now). Since positive 6 is greater than negative 5, keep the positive. Add this symbol to the answer, making the answer positive.

[tex]-5+6=1[/tex]

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

Explanation:

Compute the simple interest on a deposit of x

The per annum (p.a.) interest rate is r = 0.12 from the 12% value mentioned.

We do so over t = 2 years

i = p*r*t

i = x*0.12*2

i = 0.24x

Let A = 0.24x

Do the same for the compound interest. We'll have n = 1 to reflect annual compounding.

i = p*(1+r/n)^(n*t) - p

i = x*(1+0.12/1)^(1*2) - x

i = 1.2544x - x

i = 0.2544x

Let B = 0.2544x

We're told that "The simple interest on a sum of money in 2 years is Rs 36 less than the compound interest compounded annually"

This means the interest earned in the simple interest (value A) is Rs 36 less than the amount earned with quantity B

So,

A = B-36

0.24x = 0.2544x - 36

0.24x - 0.2544x = -36

-0.0144x = -36

x = -36/(-0.0144)

x = 2500

The amount invested or deposited is Rs 2500

Answer:

3000 words

Step-by-step explanation:

450 words in 3 minutes is 150 words in 1 minute. 20 minutes = 1 times 20.          

1 minute = 150 words so 150 words times 20 minutes = 3000 words.

Answer:

Integers include whole numbers. However, whole numbers are the list of positive integers, INCLUDING 0. A whole number cannot be negative.

Step-by-step explanation:

Answer and Step-by-step explanation:

True

Whole Numbers       { 0, 1, 2, 3, 4, . . . }  

Counting Numbers  { 1, 2, 3, 4, . . . }  

Integers                    { . . . −4, −3, −2, −1, 0, 1, 2, 3, 4, . . . }

when its a positive integers, say "positive integers"

(note: zero isn't positive or negative):

Integers are a whole numbers, but they also include negative numbers.

But still no fractions allowed!

Integers = { . . . , −4, −3, −2, −1, 0, 1, 2, 3, 4, . . . }

Negative Integers = { . . . , −4, −3, −2, −1 }

Positive Integers = { 1, 2, 3, 4, . . . }

Non-Negative Integers = { 0, 1, 2, 3, 4, . . . } (it includes zero you see)

hope it helps.

Answer:

x-√x -12

Step-by-step explanation:

(√x +3)(√x -4)=

x-√x -12

Answer:

the answer is C

Step-by-step explanation:

I used PEMDAS and school knowledge that I learned 2 years ago that I can't explain much, cause I i am bad at math, most of the time

Step-by-step explanation:

You can solve a system of three equations by multiplying each equation by a number that allows you to add or suvtract the same equation together by eliminating the x or y variable

Answer:

To use elimination to solve a system of three equations with three variables, follow this procedure:

Write all the equations in standard form cleared of decimals or fractions.

Choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable.

Select a different set of two equations and eliminate the same variable as in Step 2.

Solve the two equations from steps 2 and 3 for the two variables they contain.

Substitute the answers from Step 4 into any equation involving the remaining variable.

Check the solution with all three original equations.

Step-by-step explanation:

[tex]\\ \sf\longmapsto \dfrac{x}{y}+\dfrac{y}{x}=2[/tex]

[tex]\\ \sf\longmapsto \dfrac{x^2+y^2}{xy}=2[/tex]

[tex]\\ \sf\longmapsto x^2+y^2=2xy[/tex]

[tex]\\ \sf\longmapsto x^2+y^2-2xy=0[/tex]

[tex]\boxed{\sf (a-b)^2=a^2-2ab+b^2}[/tex]

[tex]\\ \sf\longmapsto (x-y)^2=0[/tex]

[tex]\\ \sf\longmapsto x-y=\sqrt{0}[/tex]

[tex]\\ \sf\longmapsto x-y=0[/tex]

Now

[tex]\\ \sf\longmapsto 4x-4y-4[/tex]

[tex]\\ \sf\longmapsto 4(x-y-4)[/tex]

[tex]\\ \sf\longmapsto 4(0-4)[/tex]

[tex]\\ \sf\longmapsto 4(-4)[/tex]

[tex]\\ \sf\longmapsto -16[/tex]

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

There are 4 individual terms in the polynomial:

3xy

12y

-5x

7w

Answer:

[tex]\huge\boxed{\sf \frac{a^2+b^2}{2(a^2-b^2)}}[/tex]

Step-by-step explanation:

=> [tex]\sf \frac{a}{2(a+b)} + \frac{b}{2(a-b)}[/tex]

LCM = 2(a+b)(a-b)

=> [tex]\sf \frac{a(a-b)+b(a+b)}{2(a+b)(a-b)}[/tex]

Simplifying further

=> [tex]\sf \frac{a^2-ab+ab+b^2}{2(a^2-b^2)}[/tex]

=> [tex]\sf \frac{a^2+b^2}{2(a^2-b^2)}[/tex]

[tex]\dfrac{a}{2(a+b)}+\dfrac{b}{2(a-b)}=\\\\\dfrac{a(a-b)}{2(a+b)(a-b)}+\dfrac{b(a+b)}{2(a+b)(a-b)}=\\\\\dfrac{a^2-ab}{2(a^2-b^2)}+\dfrac{ab+b^2}{2(a^2-b^2)}=\\\\\dfrac{a^2+b^2}{2(a^2-b^2)}[/tex]

Answer:

A. EF

Step-by-step explanation:

Answer:

EF

Step-by-step explanation:

The reason is because EF and BC are in the same plane

To add fractions with different denominators you must find the highest common factor (the highest number they both go into).

For 1 - The highest common factor is 8, 2x4 = 8, 4x2 = 8

now, whatever you do to the bottom, you must do to the top.

So:

3 x 2 = 6 and 5 x 4 = 20

Therefore, your answer would be 6/8 + 20/8

You do that for the rest of them as well, do you get it?

Answer:

    3.  4/15 + 4/5 = 4/15 + 12/15 = (4+12)/15 = 16/15

    5.  2/3  + 7/10 = 20/30 + 21/30  = (20+21)/30 = 41/30

Answer:

B. 4x2 + 9x – 28

Step-by-step explanation:

Multiply out the factors and see what polynomial you end up with.

(4x – 7)(x + 4) = 4x^2 + 16x - 7x - 28 = 4x^2 + 9x - 28

The polynomial with factors of 4x – 7 and x + 4 is 4x² + 9x - 28, Option B is correct.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

To determine which polynomial has factors of 4x – 7 and x + 4, we can use the fact that if a polynomial has a factors.

So, if a polynomial has factors of 4x – 7 and x + 4, then it can be written as:

(4x – 7)(x + 4)

Multiplying these factors together using the distributive property, we get:

4x²+ 16x - 7x - 28

Simplifying, we get:

4x² + 9x - 28

Hence, the polynomial with factors of 4x – 7 and x + 4 is 4x² + 9x - 28, Option B is correct.

To learn more on Polynomials click:

https://brainly.com/question/11536910

#SPJ6