Simplify the following expression.

7d + 12 – 4d – 3

x = [tex]\frac{360A}{\pi r^{2} }[/tex]

multiply both sides by 360 to eliminate the fraction

360A = πr²x ( divide both sides by πr² )

x = [tex]\frac{360A}{\pi r^{2} }[/tex]

You need to put a picture in order for me to anwser this question

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.

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.

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

Answer:

C. $260,400

Step-by-step explanation:

Since Harriet has to pay 20% down, this means she is borrowing 100-20 = 80% of the value.

80% = 80/100 = 0.8; this makes the amount borrowed

0.8(325500) = 260,400

First add 150 + 60 = 210

Second divide 500 divided by 210 = 2.3

Jennifer can stay up to 2 nights.

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:

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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.

Your profit per lawn is [tex]payed \minus cost[/tex] which is [tex]35 \minus 6 = 29[/tex].

If you want to be profitable, you must earn more than the cost of the lawn mower. Each mowing you earn 29$. We must divide using the formula [tex]cost \divide profit = times[/tex] where times is the amount of times you must mow lawns to be profitable. We get [tex]450 \divide 29 = 15.51...[/tex], but you can't only mow parts of a lawn! Therefore, you must mow 16 lawns to be profitable.

Your second part depends on how many weeks are in the summer.

But the answer would look like $435 per week earned, and -$450 one time cost for the lawnmower.

Part A.

You spend $6 per lawn and charge $35 per lawn, so the profit per lawn is $35 - $6 = $29. Let the number of lawns you mow be n. You earn a profit of $29 pewr laun, so you earn a profit of 29n for mowing n lawns.

29n = 450

Divide both sides by 29.

n = 450/29 = 15.517...

You must mow 16 lawns to make profit.

Part B.

3 lawns per day for 5 days per week means 15 lawns per week. Since you make a profit of $29 per lawn, you will make a profit of 15 * $29 for 15 lawns in each week. 15 * $29 = $435.

You want to make $2500 profit, but you must spend $450 on the lawn mower, so you need to earn a total of $2500 + $450 = $2950.

Let n be the number of weeks. In one week, you make $435 in profit. In n weeks, you make 435n in profit.

435n = 2950

Divide both sides by 435.

n = 6.7816...

If you work for 7 weeks, you will make at least $2500 in profit.

Since the summer vacation is longer than 7 weeks, it is a reasonable goal, but you must take into account the time it takes to mow three lawns in one day.

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!

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.

*(Answer)*= [tex]x+34=1464[/tex]

Hope this helps

BangtanBoyScouts

Answer:

Step-byhe slope is 4, or 4/1, and the y-intercept is 5, or (0, 5).step explanation:

[tex]\bf \stackrel{slope}{y=\stackrel{\downarrow }{4}x+5}~\hspace{5em}\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Solve both equations for x:

2x+7 = 3

2x = -4

x = -2

Plug x into the equation which contains b:

b(-2) -10 = -2

-2b = 8

b = -4

Answer:

b = -4

x = -2

To find the value of b so that the equations 2x+7=3 and bx-10=-2 have the same solution, solve the first equation for x, then use that value to solve for b in the second equation. The value of b is -4.

To find the value of b such that the equations 2x+7=3 and bx-10=-2 have the same solution for x, we need to solve the first equation for x.

Solving the equation 2x+7=3:

Subtract 7 from both sides: 2x = -4

Divide both sides by 2: x = -2

Now that we have the solution x = -2, we can plug this value into the second equation to find b:

bx - 10 = -2

Substitute x with -2: b(-2) - 10 = -2

Multiply b by -2: -2b - 10 = -2

Add 10 to both sides: -2b = 8

Divide both sides by -2: b = -4

Therefore, the value of b is -4.

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

14 x 25 x 4 = 1,400.

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.

x- coordinate of vertex = - 3

the vertex lies on the axis of symmetry , which is positioned at the midpoint of the zeros

find the zeros by setting y = 0

(x - 6)(x + 12) = 0 ( equate each factor to zero and solve for x )

x - 6 = 0 ⇒ x = 6

x + 12 = 0 ⇒ x = - 12

x coordinate of vertex = [tex]\frac{- 12+6}{2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

Triangle A'B'C' is the image of triangle ABC under a translation by 3 units right.

Given that, triangle A'B'C' is the image ABC under a translation.

We need to determine the translation.

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving the shape from one place to other, there is no change in the shape.

The direction or the path of this change in position of the object can vary i.e., initially the object can move left, then turn right, and so on. While translating, all the points on the shape will shift by the same number of units.

From the given figure we can see triangle ABC is translated by 3 units to the right to get A'B'C'.

Therefore, triangle A'B'C' is the image of triangle ABC under a translation by 3 units right.

To learn more about the translation visit:

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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! (:

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.

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

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 .

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.

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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

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 :)

Final answer:

We proved x = 17 given the equations 4y = 2x - 10 and y = 6 through a series of substitution and simplification steps in a two-column proof.

Explanation:

Given the equation 4y = 2x - 10 and the fact that y = 6, we need to prove that x = 17. The process of proving this assertion can be methodically shown through a two-column proof, which lists both the statements and the reasons behind each step.

Through these steps, we have shown that, given 4y equals 2x minus 10 and y is 6, we can prove that x equals 17.