Which two square numbers have a difference of 51?

Answers

Answer 1

Answer: The question is asking to state the two square numbers that have a difference of 51, base on my calculation and further research, the possible numbers are 100 and 49, 100 is 10^2, while 49 is 7^2. I hope you are satisfied with my answer and feel free to ask for more

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Simply the expression -3(x+3)2-3+3x. what is the simplified expression in standard form?

Answers

(-3x-9)× 2
-6x-18 -3 +3x
-3x -21

Answer:

TL;DR on behalf of all other answers, B

Step-by-step explanation:

calvin paints pictures and sells them at art shows. He charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?

Answers

The amount last month Calvin made from all the paintings sold at the art shows was $414.90

The first analyse the given information;

→ Small paints (lets call them ) sell for $25.80 Per Painting,

Thus 25.80s gives as the profit for number paints sold.

Large paints (lets call them ) sell for $56.25 Per Painting,

Thus, 56.25s gives as the profit for number paints sold.

Thus the total profit of all paintings sold would be;

= 56.25×6 + 25.80×3

= $414.90

Therefore, last month Calvin made $414.90 from all the paintings sold at the art shows.

$414.90 bc 56.25×6 + 25.80×3

13+26-[(2.8×5)÷7] what is the answer

Answers

PEMDAS
order of operations
parenthasees
exonents
mulitplication or division whichever comes first
addition or subtracton whichever comes first

parenthasees inner first
innermost is 2.8 times 5
2.8 times 5=14

then we have
13+26-[(14)/7]
division withint the parenthasees
14/7=2

now we have
13+26-[2]
addition
13+26=39

now we have
39-2
37

What number should be added to both sides of the equation to complete the square? x2 + 3x = 6

Answers

Answer:

2.25

Step-by-step explanation:

x^2 + 3x =6

Take the coefficient of the x term

Divide by 2

3/2 = 1.5

Square it

1.5^2 =2.25

Add this to both sides of the equation

Answer:

3/2^2

Step-by-step explanation:

There are 7 people at a party. If each person shakes the hand of everyone exactly once, how many handshakes will take place

Answers

Call the number of people $n$ .

Looking at the first person, they can shake hands with $n-1$ other people (since they can't shake hands with themselves.)

For the second person, they can shake hands with $n-2$ other people. (They can't shake hands with themselves and they already shook with Person 1, on Person 1's turn.

If we carry on this way we see that the total number of shakes is given by:
$(n-1)+(n-2)+...+2+1$ which simplifies to: $(n(n-1))/(2)$ .

For $n=7$ we then have:
$S=(7(7-1))/(2)=(7(6))/(2)=(42)/(2)=21$
OR
$S=(7-1)+(7-2)+(7-3)+(7-4)+(7-5)+(7-6)=6+5+4+3+3+2+1=21$

There will be 42 handshakes

For the following system if you isolated X in the second equation to use the substitution method what expression would you substitute into the first equation? 2x+y= 8
-х – Зу = -12

A. зу + 12
B.-3y + 12
C.зу – 12
D.-3y - 12

Answers

Option A. зу + 12 is the right answer

Step-by-step explanation:

The substitution method consists of finding the value of a variable from one equation and then putting it into another equation to find the value of other variable.

Given equations are:

$2x+y=8\n-x-3y=-12$