help me with the bonus box please

Standard Form is ...

ax + by = c

where a ≥ 0, b > 0 (if a=0), and {a, b, c} are mutually prime integers (unless irrational numbers are involved).

You can get there from where you're starting in a couple of steps. Multiply by the least common denominator of any fractions. (Here, you multiply by 4.) Then put the variable terms on the opposite side from the constant term. Make sure the leading coefficient is positive.

... 4y -4 = x -12

... x -4y = 8 . . . . add 12-4y

To describe the following data, showing temperatures for the week use the following statistical tools:

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near the north or south pole

You're likely near the north pole if you're receiving less direct sunlight due to the tilt of Earth's axis, which causes varying amounts of sunlight in different regions, leading to seasons.

If you are in an area that is receiving less direct sunlight, you are likely located near the north pole (or the south pole). Earth's axis is tilted at 23.5 degrees, and as it revolves around the Sun, the tilt causes different parts of Earth to receive varying amounts of sunlight at different times of the year, leading to our seasons. When the Northern Hemisphere is tilted away from the Sun, it is winter there, and areas closer to the north pole receive very little direct sunlight, while the Southern Hemisphere experiences summer and receives more direct sunlight. Conversely, when the Southern Hemisphere is tilted away, it is winter there, with areas near the south pole getting less sunlight.

First, let's set up an expression.

0.3x = 24

Now, let's solve for x.

0.3x = 24     ⇒ [tex]\frac{0.3x}{0.3}[/tex] =[tex]\frac{24}{0.3}[/tex]

x = 80

To find 75% of x, we have to multiply 80 by 0.75

80*0.75 = 60.

60 is the final answer.

The 75% of the number is 60 and this can be determined by using the unitary method and the given data.

Given :

30% of a given number is 24.

The following steps can be used in order to determine the 75% of the unknown number:

Step 1 - The unitary method can be used in order to determine the 75% of the unknown number.

Step 2 - First determine the unknown number.

Step 3 - If 30% of the unknown number is 24 then the 100% is:

[tex]=\dfrac{100}{30}\times 24[/tex]

= 80

Step 4 - Now, if the 100% is 80 then the 75% is:

[tex]=\dfrac{75}{100}\times 80[/tex]

= 60

For more information, refer to the link given below:

https://brainly.com/question/12116123

This answer explains the concepts of perpendicular lines, parallel lines, and skew lines in relation to a given line and plane.

1. Perpendicular lines are lines that intersect at a 90-degree angle. In the case of line QR, any line that intersects QR at a right angle would be perpendicular to it.

2. Parallel lines are lines that never intersect. So, any line that never intersects QR would be parallel to it.

3. Skew lines are lines that are not parallel and do not intersect. So, any line that does not intersect or run parallel to QR would be skew to it.

4. To have a line parallel to a plane LMQ, the line must never intersect the plane. Any such line would be parallel to plane LMQ.

https://brainly.com/question/1293700

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To graph the equation, use the given slope and point to plot two points and draw a line through them.

To graph the equation y - 2 = -3/4 (x - 6) using the given point and slope, we can follow these steps:

f(x + 3) = 2x² + 9x + 13

substitute x = x + 3 into f(x)

f(x + 3) = 2(x + 3)² - 3(x + 3) + 4 = 2(x² + 6x + 9) - 3x - 9 + 4

f(x + 3 ) = 2x² + 12x + 18 - 3x - 9 + 4 = 2x² + 9x + 13

Option: D is the correct answer.

               D)       [tex]y=\dfrac{1}{2}x+2[/tex]

A line is said to be steepest if the modulus of the slope is greatest and it is least steep if the modulus of the slope i.e. |m| is least.

We know that the slope intercept form of a line is given by:

[tex]y=mx+c[/tex]

where m is the slope of the line and c is the y-intercept of the line.

A)

[tex]y=4x-3[/tex]

The slope of line is: 4

i.e. m=4

and |m|=4

B)

[tex]y=\dfrac{-3}{4}x+5[/tex]

the modulus of slope is:

[tex]|m|=\dfrac{3}{4}=0.75[/tex]

C)

[tex]y=-10x-8[/tex]

The modulus of slope of line is:

[tex]|m|=10[/tex]

D)

[tex]y=\dfrac{1}{2}x+2[/tex]

The slope of the line is:

[tex]|m|=\dfrac{1}{2}=0.5[/tex]

The modulus of slope of line in options D is smallest.

Hence, the line in option: D is least steep.

4x = 5x - 12

First you want to subtract 5x from both sides:

5x will cancel out

4x - 5 = -1

Next you want to divide -1 on both sides:

-1 will cancel out

-12/-1 = 12

Since there are two negatives it turns into a positive.

So your answer is x = 12.

Hope this Helps!!

4x = 5x - 12

12 = 5x - 4x

12 = x

Answer:

The correct answer is 9.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Takala put 9 marbles in the box, jackie put in 7, and laird put in 11.

Before continuing, the most convenient is to add these three things:

9 + 7 + 11 = 27.

We now know that those 27 were divided equally to each other, that is 27: 3.

So we just have to divide:

27: 3 = 9

In this way we can verify that each person obtained 9.

Danica has -$23, but deposits $40

Add the two numbers

40 + (-23) = 40 - 23 = 17

Danica has $17 in her bank.

hope this helps

Danica's new balance after depositing $40 into her bank account is $17.

Danica has a -$23 balance in her bank account, which means she owes $23. When she deposits the $40 she earned from cutting grass, we can calculate her new balance as follows:

Step-by-step calculation:

Therefore, after depositing the $40, Danica's new balance in her bank account is $17.

Answer:

$375.00

Step-by-step explanation:

Answer: $15000

Step-by-step explanation:

The formula to calculate the simple interest is given by :-

[tex]S.I.=P\times r\times t[/tex], where P is the principal amount , r is the rate of interest and t is the time period.

Given: Interest amount = $3,375

Rate of interest = 4.5%=0.045

Time period = 5 years

Let P be the principal amount, then we have

[tex]3375=P\times 0.045\times 5\\\\\Rightarrow\ P=\dfrac{3375}{0.045\times 5}=15000[/tex]

Hence, the principal amount of the account was $15000.

Solution

f(n +1) = f(n) + 3

Here common difference (d) = 3. This is an arithmetic sequence.

First term f1 = -4

2nd term = f1 + 3

= -4 + 3

2nd term =  -1

The 2nd term =  -1

[tex]x=4.\overline{05}\\\\x=4.050505...\qquad|\cdot100\\\\100x=405.050505...\\\\100x-x=405.050505...-4.050505...\\\\99x=401\qquad|:99\\\\x=\dfrac{401}{99}[/tex]

This is just like an f(x) problem, but the letters are different.  First though, the t in d(t) will substitute for the t in the problem  d(t)=300,000t.  This is what it will look like:

d(t)=300,000t

d(15)=300,000t

d(15)=300,000(15)

d(15)=4,500,000.

To explain it, this means that in 15 seconds light will travel 4,500,000 km.

Final answer:

The average yearly rate of change in US college enrollment from 1990 to 2000 was 110,000 students per year.

Explanation:

To calculate the average rate of change in the number of students enrolled in US colleges per year from 1990 to 2000, we can use the following formula: Average rate of change = (Final value - Initial value) / Number of years. In this case, the initial value (1990 enrollment) is 13.8 million students, and the final value (2000 enrollment) is 14.9 million students. The number of years between 1990 and 2000 is 10 years. So, the calculation would be:

Average rate of change = (14.9 million - 13.8 million) ÷ 10 = 1.1 million ÷ 10 = 0.11 million students per year.

This means that, on average, the number of students enrolled in US colleges increased by 110,000 students per year over the 10-year period from 1990 to 2000.

{(–1, 1), (–2, 1), (–2, 2), (0, 2)}

In a function, each input has an output

Each domain has a range. In a function, range can be repeated but domain cannot be repeated. Same domain cannot have two range values.

Here domain is {-1, -2, -2, 0}

Range is { 1, 1, 2, 2}

Domain -2 is repeating so this relation is not a function

Answer : No; a domain value has two range values.

39/50= 0.78 times 100= 78

78 is Donovan's score

if maci's score is 10 percentage points higher

78+10=88

x /50 =0.88 times 100= 88

x=44

each question is 2 points:  88-78= 10/2=5

Maci answered 5 questions correctly.

We are given : The mass of a grain of sand = [tex]10^{-3} grams.[/tex]

Bag contains = 10 kilograms of sand.

Let us concert 10 kg into grams first.

1 kg = 1000 grams.

10 kg = 10 × 1000 = 10000 grams = 10^4.

Therefore, bag contains 10^4 grams of sand.

Therefore, number of grains of sand are in the bag of sand of 10^4 grams =

The mass of a grain of sand in grams ÷ The mass of a grain of sand.

[tex]\frac{10^4}{10^{-3}}[/tex]

=[tex]10^{4-(-3)}[/tex]

=[tex]10^{4+3}[/tex]

[tex]=10^7  \ grains \ of \ sand.[/tex]

Therefore, [tex]10^7[/tex] grains of sand are in the bag of 10kg sand.

The difference between 12 Celsius and -10 Celsius is 22 degrees.

There are 20 different, whole number, specific degrees between 12 and -10 Celsius.

So basically you just want to isolate the variable. So you want n on a side all by itself. so first you multiply by -2 to both sides, that will leave you with the equation n+4=18, then you subtract 4 from both sides, this will give you the equation n=14. To make sure this solution is correct, you can plug it back into the equation filling 14 in for n, this equation is 14+4/-2=-9, and this solution works. Hope this helped :)

The answer you are looking for is -3.

To find this answer, you must get "n" by itself. First subtract 5 from both sides. You would get (-8)n = 24, which you then divide -8 on both sides, to get a final answer of n = -3.

I hope this helps!

Answer: 93 dancers did not get on the show.

Step-by-step explanation: Okay to figure this out you change 62% into a decimal which is 0.62. You then multiply 150 by 0.62 and you get your answer which is 93 dancers. I hope this helped! (:

The answer for a would be -2 and for b it would be -3. If you added both -2 and -3 together, you would get a sum of -5, and when for the other equation, the negative in front of b will cancel out the negative in front of -3, making it 3, and when you subtract -2 and 3, you'll end up with a difference of 1. a= -2  b= -3

Answer: Hence, 25000 patients are fully satisfied with their treatment plan .

Step-by-step explanation:

In a sample of 600 patients , there are 500 patients who were fully satisfied with their treatment plan.

So fraction is given by

[tex]\frac{500}{600}=\frac{5}{6}[/tex]

Now, if we have 30,000 patients ,

then ,the number of patients who were fully satisfied is given by

[tex]\frac{5}{6}\times 30000\\\\=\frac{150000}{6}\\\\=25000[/tex]

Hence, 25000 patients are fully satisfied with their treatment plan .

Plug in the values of xy/z

(-2*-3)/4

=6/4

=3/2

The answer is 6/4. If you subsitute all of the variables with the corresponding numbers, we get 6/4