The mean of 20 numbers is 18. If 3 is added to each of the first ten numbers, find the mean of the new set of 20 numbers.

Answers

Answer 1

Answer: x - sum of 20 numbers

$(x)/(20)=18\n x=360\n\n (x+3\cdot10)/(20)=(x+30)/(20)\n (360+30)/(20)=(390)/(20)=19.5$

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Write 5 equations where the sum is equal to 9

PLEASE HELP!First determine the degree of each polynomial expression below. Explain how you determined this on each expression.Then organize the expressions from least to greatest based on their degree
I. 6x^2
II. 18x^3+5ab-6y
III.8a-5
IV. 4x^3y+3x^2-xy-4

Answers

Degree of polynomials:

$6x^2 = 2\n\n18x^3+5ab-6y = 3\n\n4x^3y +3x^2-xy-4 = 4\n$

Least to greatest based on degree:

$6x^2$

$18x^3+5ab-6y$

$4x^3y +3x^2-xy-4$

Solution:

The degree of the polynomial is the highest degree of any of the terms

Know that the degree of a constant is zero

Option I

$6x^2$

Here the highest degree is 2 ( x power 2)

In this case, degree of polynomial is 2

Option II

$18x^3+5ab-6y$

To find the degree of the polynomial, add up the exponents of each term and select the highest sum.

$Degree\ of\ 18x^3 = 3$

$Degree\ of\ 5ab = 5a^1b^1 = 1+1 = 2$

$Degree\ of\ 6y = 6y^1 = 1$

Thus the highest degree is 3

Option III

$8a^(-5)$

This is not a polynomial

A polynomial does not contain variables raised to negative

Option IV

$4x^3y +3x^2-xy-4$

To find the degree of the polynomial, add up the exponents of each term and select the highest sum.

$Degree\ of\ 4x^3y = 4x^3y^1=3+1 = 4\n\nDegree\ of\ 3x^2 = 2\n\nDegree\ of\ xy = x^1y^1 = 1+1 = 2\n\nDegree\ of\ 4 = 0$

Thus highest degree is 4

Then organize the expressions from least to greatest based on their degree

Least to greatest based on degree:

$6x^2$

$18x^3+5ab-6y$

$4x^3y +3x^2-xy-4$

A scale drawing of a school bus has a scale of 1/2 inch to 5 feet. If the length of the school bus is 4 1/2 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning.

Answers

Answer:

45 feet

Step-by-step explanation:

4 and 1/2 inches

1/2=5 feet

put the mixed number into an improper fraction

9/2 *5= 9*5= 45 feet

Answer:

10 inch

Step-by-step explanation:

5 1/2 + 4 1/2 = 10

What is equivelent to
4d+6+2d

Answers

The value of the equation 4d + 6 + 2d is A = 6 + 6d

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 4d + 6 + 2d be equation (1)

On simplifying the equation , we get

A = 4d + 2d + 6

A = 6d + 6

A = 6 ( d + 1 )

Therefore , the value of A is 6d + 6

Hence , the value of the equation is A = 6d + 6

To learn more about equations click :

brainly.com/question/19297665

#SPJ2

We can add like terms. Like terms are when the variables are alike, so you can add them to get a simpler form of your expression.equation.
4d and 2d are like terms, therefore, we can add them.

6d+6 is what we are left with.

Our final answer: 6d+6 is equivalent to 4d+6+2d

What is the solution to the system of equations?5x - 3y = -9
2x - 5y = 4

(_,_)

THANKS!!

Answers

Multiply the 1st equation by 2 and the 2nd by 5 to get:
10x-6y= -18
10x-25y=20
subtract equation 2 from equation 1 and the x's cancel:
10x-6y= -18
10x-25y=20
19y= -38
y= -2
substitute y= -2 into either of the original equations to get x= -3
(-3, -2)

Can someone answer this question?

Answers

Answer:

You're correct, it's 7.5!

Step-by-step explanation:

15% is still 15/100. So, if you to divide 100 by 2 to convert it to 50, then you divide 15 by 2 as well! And the answer to that is 7.5.

1) A 1.5 kg apple pie is sitting on the kitchen counter . If it has 13.44 J of gravitational potential energy, how tall is the counter it sits on?2) A suitcase weighing 120 N sits on a counter 1.8 m high in the airport. How much energy does it have?

plsss answer 1&2

Answers

So the equation you’ll use for both is
WP = mg • h
It’s delta height generally.

1.) .9 m = h

2.) 216 = WP

I would’ve sent a screenshot, but the app wouldn’t let me.

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