George has 750 milliliters of water. How many liters is this?

Answers

Answer 1

Answer: There are 1000 milliliters per liter, so...

750 ml x 1 liter/1000 ml =
750/1000 = .75 liters

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If the standard deviation for a data set is equal to 9, then the variance for that data set is equal to___
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What is the highest common factor (HCF) of 60 and 45?

Answers

The HCF of 60 and 45 is 15.

60 = 45 x 1 + 15
45 = 15 x 3 + 0

HCF is 15.

There were 480 people at play. The admission price was $2 for adults and $1 for children. The admission receipts were $770. How many adults and how many children attended?

Answers

Answer:

290 adults and 190 children attended the Play.

Step-by-step explanation:

Given:

Total number of people in play = 480

Let the number of adults be x

and Number of children be y

Hence we can write the equation as;

$x+y=480 \ \ \ \ equation \ 1$

Also Given:

Price for 1 adult = $2

Price for 1 children = $1

Total admission receipts = $770

Hence we can write the equation as;

$2x+y =770 \ \ \ \ equation \ 2$

Now We will subtract equation 1 from equation 2 we get;

$(2x+y)- (x+y) =770-480\n2x+y-x-y= 290\nx= 290$

Now substituting the value of x in equation 1 we get;

$290+y =480\ny =480 -290\ny= 190$

Hence 290 adults and 190 children attended the Play.

Final answer:

The problem is solved by creating two equations based on the given information and solving the system of equations to find that there were 290 adults and 190 children who attended the play.

Explanation:

To solve the problem of determining how many adults and children attended the play, we need to set up a system of equations.

Let A be the number of adults and C be the number of children who attended the play. We are given two pieces of information:
The total number of people at the play was 480, which gives us the equation A + C = 480.

The total amount of money collected from admissions was $770. Since adults pay $2 and children pay $1, the equation is 2A + C = 770.

Now we have a system of two equations:
A + C = 480

2A + C = 770

To solve this system, we can subtract the first equation from the second equation to eliminate C:

2A + C - (A + C) = 770 - 480

which simplifies to:

A = 290

Now, plug A = 290 into the first equation to find C:

290 + C = 480

Subtract 290 from both sides:

C = 190

So, there were 290 adults and 190 children at the play.

Learn more about system of equations here:

brainly.com/question/21620502

#SPJ3

What do I do to figure out this problem:
3x+8=26+x

Answers

3x + 8 = 26 + x

The first thing you need to do is understand what you're looking for ...
what a 'solution' means, what it looks like, and how you even know
when you have it. I'm not sure you're there yet.

The 'answer' or the 'solution' to the problem is a number. It's the number
that 'x' must be in order for that line at the top to be a true statement. There's
only one possibility.

To find it, you can do anything you want to either side of the problem, as long as
you do exactly the same thing to the other side too. With that ability, here's how
to 'figure out the problem', and find the answer:

The original problem: 3x + 8 = 26 + x

Subtract 8 from each side:

3x = 18 + x

Subtract 'x' from each side:

2x = 18

Divide each side by 2 :

x = 9 .

That's what the answer looks like, and that's what the answer is.

' 9 ' is the ONLY number you can write in place of 'x' in the problem,
and have the problem read true.

I'll show you what I mean. Let's take the original problem

3x + 8 = 26 + x

and let's write ' 2 ' wherever we see 'x' :

3 (2) + 8 = 26 + 2

3 (2) means 3 times 2, and that's 6 .
So now we have

6 + 8 = 26 + 2

Do the addition on each side, and we have

14 = 28 .

That's nonsense. 14 is not equal to 28 . The reason that happened
is because we put the wrong number in place of 'x' . When we put the
correct number in place of 'x', the left side will be equal to the right side.
To 'figure out the problem' means to find out what that number must be.
For this particular problem, it's 9 .

3x+8=26+x
Most important rule in algebra, do what you did on one side to the other when simplifying equations
So using this rule ∧ just do exactly what is says. First subtract 8 from the side with the 3x and then subtract onto the 26. Now you have 3x =18 + x. Now just subtract x from the side with the 18 and then subtract it to the side with the 3x, getting 2x = 18, now just divide by 2 on both and get x = 9. That's your answer

If the sum of the measures of ∠1 and ∠2 is 180°, what is the sum of the measures of ∠3 and ∠4?A) 360°
B) 120°
C) 90°
D) 180°

Answers

in any 4-sided shape, the angles add to 360. if angles 1 & 2 are 180, 3 & 4 are also 180. the answer is D

Final answer:

The sum of the measures of ∠3 and ∠4 is 180°.

Explanation:

To find the sum of the measures of ∠3 and ∠4, we need to know the relationship between these angles and ∠1 and ∠2. If the sum of the measures of ∠1 and ∠2 is 180°, this means that these two angles are supplementary. In other words, they add up to 180°. Since angles ∠3 and ∠4 are corresponding angles with ∠1 and ∠2, they will also be supplementary to each other. Therefore, the sum of the measures of ∠3 and ∠4 is 180° as well.