What is 8.25 rounded off to the nearest whole number

Let's do this in steps, show your work!

#1. We need to move all terms to one side.

x^2 - 7x = 0

#2. Then factor out the common term x.

x(x - 7) = 0.

#3. Simplify to get..

x = 0, 7.

If you need help with any other question let me know.

Answer:

For two points (x,a) and (x,b), the distance would be |a-b| or |b-a| both would be the same.

Step-by-step explanation:

What is the rule without an absolute value?  basically we are looking for the difference (which is the answer to a subtraction problem) between the two.

Say the two points are (x,a) and (x,b)  So they have the same x value but different y values.  Now, when you want to take the difference you usually want to subtract the smaller number from the larger, but hat happens if you don't?  So instead subtract the larger number from the smaller number?  I'm gonna show a few examples.

7-5 = 2

5 - 7 = -2

7 - 3 = 4

3 - 7 = -4

As you can see, no matter which order you subtract you will always get the same number, just either positive of negative.  We are going to use that.  Basically, we can have the two in either order, as long as we have them inside of an absolute value, we will always get the same answer.

so, for our two y values, a and b, it doesn't matter which is larger |a-b| = |b-a| and this is the distance.  

The distance between two points that have the same x-coordinate on a coordinate plane can be calculated by taking the absolute difference of their y-coordinates. This calculation will always yield a positive value, reflecting the fact that distance is a scalar quantity.

The distance between two points with the same x-coordinate on a coordinate plane (i.e., two points on a vertical line) can be determined using absolute value. If these points have y-coordinates of y1 and y2, the distance between them (d) is the absolute difference of their y-coordinates. Mathematically, this is expressed as:

d = |y2 - y1|

Here, the symbol '|' surrounding the difference represents the absolute value, which makes any negative result positive. For example, if we have points A(3, 4) and B(3, 1), using our rule, the distance between these points would be |1 - 4| = |-3| = 3 units.

This absolute value method ensures that the distance is always a positive number, regardless of whether y2 is bigger than y1 or not. This essentially reflects the basic principle of distance being a scalar (having only magnitude but not direction).

Answer:

12 picks total

Step-by-step explanation:

1. multiply 2 (orange picks) by 4 (green picks)

    2*4=8 total orange picks

2. add green picks (4) + orange picks (8)

    4+8=12

if the tax rate is 8.5% stan payed $7.22

Answer:

Stan paid $7.23 in tax

Step-by-step explanation:

8.5/100=t/85

85•8.5=100t

722.5=100t

722.5/100=t

7.225=t

Answer:

B) 2x + 18 = 100

Step-by-step explanation:

Given: Perimeter = 100 feet and width = 9 ft

We know that the perimeter of a rectangle = 2(length + width)

Let "x" be the length of the rectangle.

Plugging in the given values in the above formula, we get

100 = 2(x + 9)

On the right hand side, we can use the distributive property a(b + c) = ab + ac

and expand.

100 = 2x + 2*9

100 = 2x + 18

This is same as 2x + 18 = 100

Therefore, the answer is B) 2x + 18 = 100

The given system of equations has equivalent equations, hence it has infinitely many solutions. The best answer to the question is option A.

The system of equations presented in the question is:

4x + 5y = 7

8x + 10y = 14

These two equations are equivalent, meaning they are different forms of the same equation. This is because the second equation is just the first one multiplied by 2. When two or more equations are equivalent in a system, it means that they intersect at infinitely many points, hence they have infinitely many solutions. Therefore, the best description for the solution to this system of equations is option A: The system has infinitely many solutions.

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As per the values, C. the system of equations has no solution.

To determine the solution to the system of equations, we can solve the equations using the method of elimination.

First, we can multiply the first equation by 2 to make the coefficients of x in both equations the same. This gives us the equations 8x + 10y = 14 and 8x + 10y = 7.

Subtracting these equations, we get 0 = 7 - 14, or 0 = -7.

Since this is not a true statement, the system of equations has no solution.

Therefore, the correct answer is C. The system of equations has no solution.

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Fencing a garden would be Perimeter because your trying to find how much fencing you would need so you can surround the garden.

The area of the garden is how much space there is. Ex. 5ft×9.5ft=47.5ft² . The 5ft would be the length of the garden, and the 9.5ft would be the width. But to find area, you would need to do L×W, or 5ft×9.5ft in this case for area.

But to find Perimeter, you need to do L+L+W+W. If we use the numbers from before for the area example, you would be doing 5ft+5ft+9.5ft+9.5ft, you would be getting 29ft.

If you want the definitions to better understand this, here they are:

Perimeter: the total distance around the edge of the figure.

Area: the number of unit squares that can be contained within it.(hence the reason "²" was at the end of the total in the example for area I provided.)

Answer:

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:    

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

[tex]\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}[/tex]

Solving the equation we get,

[tex]\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}[/tex]

[tex]9\times 4=3\times n(n -1)[/tex]

[tex]36=3\times n(n -1)[/tex]

[tex]n^2-n-12=0[/tex]

[tex]n^2-4n+3n-12=0[/tex]

[tex]n(n-4)+3(n-4)=0[/tex]

[tex](n-4)(n+3)=0[/tex]

[tex]n=4,-3[/tex]

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

[tex]S=\frac{D}{T}[/tex]

[tex]S_a=\frac{4\times 450}{9}[/tex]

[tex]S_a=200 m/min[/tex]

Brian completes 3 laps in that 9-minute time, so his rate is

[tex]S_b=\frac{3\times 450}{9}[/tex]

[tex]S_b=150 m/min[/tex]

Therefore, Alan: 200 m/min

Brian: 150 m/min

92%. 23 divided by 25 is .92 pretty much meaning he got a 92 on that math test (A-)

Devon answered 92% of the problems that were applied on test correctly.

Percentage is a way of expressing a proportion or a fraction as a portion of 100. It is commonly used to compare quantities, indicate relative amounts, or express the part-to-whole relationship.

The term "percent" originates from the Latin phrase "per centum," meaning "by the hundred." It is represented by the symbol "%".

We know that;

Percent = Correct answers/Total answers * 100/1

= 23/25 * 100/1

92%

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Answer:

She needs 0,75 ft of wire

Step-by-step explanation:

Hello

She needs (0.30 ft)*(2.5) = 0,75

Best regards

Answer:

Option B. 3 bags

Step-by-step explanation:

step 1

Find the area of the flower bed

The area of the flower bed is the area of a triangle

A=(1/2)bh=(1/2)(20)(6)=60 m^2

step 2

Divide the area by 20 square meters to find the number of bags of topsoil

(60)/(20)=3 bags

Answer:

B. 3 Bags

Step-by-step explanation:

Answer:

The correct answer is (FALSE)

Step-by-step explanation:

(APEX)

The statement is false. Credit Unions are subject to federal regulations and are overseen by the National Credit Union Administration (NCUA) in the United States.

The statement, 'Credit unions are not subject to federal regulations,' is False. Credit unions, like other financial institutions, must adhere to several federal regulations. The National Credit Union Administration (NCUA) is the federal agency that charters and supervises federal credit unions in the United States. Among other duties, it's their role to administer the National Credit Union Share Insurance Fund (NCUSIF), which provides deposit insurance for credit union members, much like the FDIC does for bank customers.

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Answer:

The answer is D

Step-by-step explanation:

4.8 times 0.5 equals 2.4+ 1.2 = 3.6 which is the total number of miles he ran/walked

Hope it helped!

The answer you should go with is A

Let me see if I can solve this on my own.

So $94 is the first amount.

It got divided so, 94÷2 = $47

So, It's either $47 or this.

47 + 47 (or times 2) = 94 again. But gets five more dollars than Leon. So 94+5= 99 then -10 = 89 but 89 ÷ 2 = 44.5 but since money can't really be half. It's eithier $44 or $45 but in my opinion is $45.

So, these are the most reasonable answers. $47 or $45. You can pick the answer that you thinks makes more sense. This took a long time so I hope this helps!

Answer:

Leon gets money=$39.6

Jill gets money=$44.6

Issac gets money=$9.8

Step-by-step explanation:

We are given that Martha divides $94 amongst her friends.

We have to find that how much money each friend get .

Given k be any number .

Leon gets money =2k

Jill gets money=2k+5

Issac get money=k-10

According to question

[tex]2k+2k+5+k-10=94[/tex]

[tex]5k-5=94[/tex]

[tex]5 k=94+5[/tex]

[tex]k=\frac{99}{5}[/tex]

[tex]k=19.8[/tex]

Leon gets money=[tex]2\times 19.8[/tex]

Leon gets money=$39.6

Jill gets money=$39.6+5=$44.6

Issac gets money=$19.8-10=$9.8

Answer:

A = 77.32

Step-by-step explanation:

Since this is a right triangle we can use trigonometric functions

sin  = opposite side/ hypotenuse

sin A =  80/82

sin A =40/41

Take the inverse sin of each side

sin^-1 (sin A ) =sin ^-1 (40/41)

A =77.31961651

Rounding to the nearest hundredth

A = 77.32

Answer:

77.32°

Step-by-step explanation:

Using cosine law:

80² = 18² + 82² - 2(18)(82)cos

cosA = 9/41

A = 77.31961651°

Answer:   [tex]\bold{c)\quad f^{-1}(x)=\dfrac{ln(x)}{2}}[/tex]

Step-by-step explanation:

Inverse is when you swap the x's and y's and solve for y. Note: f(x) is y

[tex]y=e^{2x}\\\\\text{Swap the x's and y's:}\\x=e^{2y}\\\\\text{Apply ln to both sides:}\\ln\ x=ln\ e^{2y}\\\\\text{ln e cancels out}\\ln\ x=2y\\\\\text{Divide both sides by 2:}\\\dfrac{ln\ x}{2}=y[/tex]

Answer:

D. 21

Step-by-step explanation:

28-21=7

28-7=21

Answer:

Step-by-step explanation:

10/6 is the answer.

Answer:

simplified form would be 3/2.

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

Given statement is "If p is true and q is false, then p v q is true".

Now we need to decide if the given statement is True or false

By definition of "p v q" , also read as "p OR q", we know that if any of p or q is true then value of "p v q" is always true.

Given that p is true then "p v q" must be true.

Whch is same as conclusion of the given statement.

Hence final answer is "TRUE".

Answer:

TRUE

Step-by-step explanation:

Given statement is "If p is true and q is false, then p v q is true".

Now we need to decide if the given statement is True or false

By definition of "p v q" , also read as "p OR q", we know that if any of p or q is true then value of "p v q" is always true.

Given that p is true then "p v q" must be true.

Whch is same as conclusion of the given statement.

Hence final answer is "TRUE".

Answer:

D) MNO

Step-by-step explanation:

A) and B) are over the y axis

C) is over both axes

D) is correct: it is a reflection over the x axis.

Answer:

The answer is D

Step-by-step explanation:

Answer:

[tex]T=79\degree[/tex]

Step-by-step explanation:

Recall and use the cosine rule to find the approximate value of angle T.

[tex]|SU|^2=|ST|^2+|TU|^2-2(|ST|)(|TU|)\cos T[/tex]

We plug in the values of the side lengths to obtain;

[tex]4.3^2=3.9^2+2.7^2-2(3.9)(2.7)\cos T[/tex]

[tex]18.49=15.21+7.29-21.06\cos T[/tex]

[tex]18.49=22.5-21.06\cos T[/tex]

[tex]18.49-22.5=-21.06\cos T[/tex]

[tex]-4.01=-21.06\cos T[/tex]

[tex]4.01=21.06\cos T[/tex]

[tex]\frac{4.01}{21.06}=\cos T[/tex]

[tex]0.1904=\cos T[/tex]

[tex]T=\cos^{-1}(0.1904)[/tex]

[tex]T=79.02[/tex]

Angle T is approximately 79 degrees.

Answer:

l = 9 cm

b = 7 cm

h = 3 cm

Step-by-step explanation:

Formula:-

Volume of cuboid = lbh

l - Length of cuboid

b - breadth of cuboid

h - Height of cuboid

To find the dimensions of prism

Here prism is like a cuboid.

Volume of prism = 189 cm^3

Height h = 3 cm

Volume = lbg

189 = l * b* 3

l * b = 189/3 = 63 = 9 * 7

Therefore l and b may be 9 and 7

Answer:

  |x-4| +|y-5|=0

Step-by-step explanation:

There are many equations that will graph as the point (x, y) = (4, 5). One of them is ...

|x-4| +|y-5| = 0

Answer:

cos(18°)=sin(72°)

Step-by-step explanation:

we know that

In a right triangle

cos(A)=sin(B)

If A and B are complementary angles

so

A+B=90°

In this problem

A=18°

B=90-18=72°

therefore

cos(18°)=sin(72°)

Answer:

Total = 2,400 * (1 + (.083/4))^4*5

Total = 2,400 * (1.02075)^20

Total = 2,400 * 1.5079528829

Total = 3,619.09

Step-by-step explanation:

Answer:

$3,619.09

Step-by-step explanation:

liam deposits $2400 into an account that earns 8.3% interest compounded quarterly.

Compound interest formula is

[tex]A= P(1+ \frac{r}{n} )^{n*t}[/tex]

where A is the final amount

P is the initial amount deposited

r is the rate of interest

n is the compounding period

t is the time in years

P= 2400, r= 8.3%= 0.083, t=5, n=4 (quarterly)

Plug in all the values

[tex]A= 2400(1+ \frac{0.083}{4} )^{4*5}[/tex]

A= 3619.09