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mylen [45]
3 years ago
13

Solve each equation for the bold variable​

Mathematics
1 answer:
Phantasy [73]3 years ago
4 0

Answer:

y = 3 - 2x

Step-by-step explanation:

The goal is to isolate the y variable

In order to have y by itself (on one side of the equation or equal sign), we must move the other numbers and variables to the other side.

Since 2x is on the same side as y, we have to subtract it from both sides. Subtracting it cancels out the original 2x and leaves the equation to look like this:

y = 3 - 2x

Now the y is isolated

Another example:

-5x + y = 15

To isolate the y, we must cancel out the -5x. Add 5x to both sides. It will cancel out the -5x and bring it to the right side of the equation, resulting in:

y = 15 + 5x

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A survey of students in a school showed 1/2 of the students exercise regularly, 2/5 of the students exercise occasionally and th
Rashid [163]

Answer:

1/10 do not exercise at all.

Step-by-step explanation:

That would be 1 - 1/2 - 2/5

=  10/10 - 5/10 - 4/10

= 1/10.

5 0
3 years ago
How many solutions does the nonlinear system of equations graphed below have?
MakcuM [25]

Answer: 4

Step-by-step explanation: just did it myself

7 0
3 years ago
A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:
Kaylis [27]

Answer:

A.

mean = 724.2

Median = 715

Mode = 768

B.

Range = 85

Standard deviation = 29.30

C.

Interval = [665.6, 782.8]

Step-by-step explanation:

Number of samples n = 25

Summation X= 769 + 691 + 699 +730+711+ 765+ 702 718 +719 +712+ 768 +688 +757+695 768 +735 +709 +758 +708+ 693 +736 700+ 687 +772 +715 = 18105

A.

1. Mean = 18105/25

= 724.2

2. Median is the middle value when arranged from the least value to the highest = 715

3. Mode is the number with the highest frequency = 768 (occured two times)

B.

1. Range = highest value - lowest value

Highest value = 772

Lowest value = 687

772-687 = 85

2. Standard deviation = √(X-barX)²/n-1

= √20604/25-1

=√858.5

= 29.30

Please check attachment for the full calculation of the standard deviation

C.

Interval

[Mean - 2(sd), mean + 2(sd)]

= [724.2-2x29.3, 724.2+2x29.3]

=[665.6, 782.8]

4 0
2 years ago
The Girl Scouts collected $90 for charity while the Boy Scouts collected $60.
Ostrovityanka [42]

So first you’ll have to find the total or the sum of collected.

$90+$60= $150

Because you’re finding the percent of the total collected by girl scouts, divide the amount collected from the girl scouts by the total.

$90/$150= .6

Multiply that by 100 to get %60.

6 0
2 years ago
Find the sum: 564 + 3,598 = ?
Mariulka [41]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ 564 + 3,598 = 4162

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

4 0
3 years ago
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