What is a if 6= a/4+2

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]

The slope is 4 and the Y-Intercept is 0.

Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers. If a number is terminating or repeating, it must be rational if a decimal is both non terminating and non repeating, the number is irrational.

So yes.

Yes, 5.3 repeating is a rational number. It can be written as the fraction 53/9.

Yes, 5.3 repeating is a rational number. A rational number is a number that can be expressed as a fraction, where both the numerator and denominator are integers. In this case, we can write 5.3 repeating as the fraction 53/9. The decimal 5.3 repeating means that the digit 3 repeats infinitely, so it can be written as 5.3333... In fraction form, this becomes 53/10 + 53/100 + 53/1000 + ...

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

Answer:

Option A is the important variable.

Step-by-step explanation:

Given is - At 9:45 a.m. a patient’s temperature was 101.5 degrees at 10:41, the nurse took the patients temperature again and found it was 105.8 degrees, the highest ever recorded.

The variable that is most important here is A: the number of minutes it took for the to reach its peak.

Firstly it is not mentioned if 10:41 is am or pm.

If its am, then such a temperature rise in less than an hour is very dangerous.

So, the important variable is option A.

Answer:

The answer is B: the number of degrees that the temperature changed.

Step-by-step explanation:

Just took the test

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.

First add 150 + 60 = 210

Second divide 500 divided by 210 = 2.3

Jennifer can stay up to 2 nights.

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.

The answer would be 25/54

25/54 or .46

7/18+2/27

331 total students. 7 traveled by car.

331 - 7 = 324 were on buses.

There were 6 buses:

324 / 6 = 54 students on each bus.

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

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

Part (A):

The area of the penalty box.

The dimensions of the penalty box are (15x-1) and (5x-7)

The area of rectangle = length * width

∴ The area of the penalty box = (15x-1) * (5x-7) = 75 x² - 110 x + 7

===================================================

Part (B):

The area of the goal box.

The dimensions of the goal box are (7x-1) and (x+3)

The area of rectangle = length * width

∴ The area of the goal box = (7x-1) * (x+3) = 7x² + 20x - 3

=======================================================

Part (C):

The area of the penalty box not coverd by the goal box =

The area of the penalty box - The area of the goal box =

(75 x² - 110 x + 7) - (7x² + 20x - 3) = 68 x² - 130 x + 10

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

14 x 25 x 4 = 1,400.

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

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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.

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

Hope this helps

BangtanBoyScouts

Answer:

The slope is 4.

Step-by-step explanation:

Use the slope formula.

[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] m = \dfrac{-7 - 9}{-1 - 3} [/tex]

[tex] m = \dfrac{-16}{-4} [/tex]

[tex] m = 4 [/tex]

7) 12 / 6  

(how many party favors can he give to 6 people if he has twelve? each person can get 2)

9) 2(12)    

(Each water bottle is two dollars, how many bottles did she buy? 12. 12 bottles at 2 dollars each would be $24)

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.

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

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.

Let's x represents the first odd integer

The next consecutive integer would be represented as x+2.

So x and x+2 being multiplied together will give us 1443:

(x)(x+2)=1443

x^2+2x=1443

x^2+2x-1443=0

By solving the quadratic equation using the quadratic formula, x will equal to 37 and -39.

Since the problem says "integers", so I'm assuming two pairs of consecutive integers would be ok.

With that said you 1st pair will be: 37,39

Your second pair will be: -37,-39.

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

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.

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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.