Kasey had to make a down payment of 17% of the selling price of her house. She was approved for a $255,000 mortgage. What range of costs might she expect to pay at the closing?

Answer:

n-1,n,n+1

Step-by-step explanation:

let the numbers be x,x+1,x+2

x+x+1+x+2=3n

3x+3=3n

3x=3n-3

x=1/3 (3n-3)=n-1

so mumbers are n-1,n,n+1

The three consecutive numbers are n-1, n, and n+1.

We have to determine, the three consecutive numbers if their sum is 3n.

According to the question,

The consecutive number series can be even as well as odd depending on the first term of the series and the difference between the numbers.

Let, the three consecutive numbers be x, x+1, and x+2.

The sum of three consecutive numbers is equal to 33.

[tex]\rm x + x+1+x+2=3n\\\\3x+3 = 3n \\\\Divided \ by \ 3 \ on \ both \ the \ sides \\\\x +1 = n\\\\x = n-1[/tex]

Therefore,

The first consecutive number is,

[tex]\rm x = n-1[/tex]

The second consecutive number is,

[tex]\rm x+1 = n-1+1 = n\\[/tex]

The third consecutive number is,

[tex]\rm x+2= n-1+2 = n+1\\[/tex]

Hence, The three consecutive numbers are n-1, n, and n+1.

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Answer:

y=1/2-8

Step-by-step explanation:

slope is 1/2

-4-y=1/2(8-x)

-4-y=4-1/2

-y=-1/2+8

y=1/2-8

Answer: It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable

Answer:

An isosceles triangle has two side lengths the same and one different.

Step-by-step explanation:

Answer:

[tex] \frac{ - 1}{2} [/tex]

Answer:

p=2/5

p=0.4

Step-by-step explanation:

Answer:

p=2/5

Step-by-step explanation:

6p+13.5=159/10

Answer:

i think the answer is -> "the mean can be less than the minimum data value."

Step-by-step explanation:

mean means the average and by finding the average you need to add up all your set values then divide it, so with that being said the mean will always need to be higher than the lowest data set of value.

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

Answer:

first line for you graph would be from 5 to 5 and the second line is -4 to 2

Step-by-step explanation:

hope this is what you needed:)

Using the function graph given, it is found that:

When a piece-wise function is given, that is, a function that has multiple definitions, the numeric value at x when the definition changes is given by the closed circle.

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Answer:

Let the radius of the circumscribed circle be r.

The formula for calculating the radius r is

r

=

Δ

s

Where  

Δ

is the area of the triangle

s

is the semi-perimeter.

s

for any triangle is calculated as

s

=

a

+

b

+

c

3

Where,  

a

,

b

,

c

is the sides of the triangle

Δ

=

√

s

(

s

−

a

)

(

s

−

b

)

(

s

−

c

)

(Heron's Formula)

Plug in the values and get the answer.

Once you have the radius, you can easily find out the area of the circle.

Step-by-step explanation:

19

Explanation:

9-3=6

(Check your work)

3+6=9

__________________________________

6÷1/3=18

(Check your work)

(6×3=18)

__________________________________

18+1=19

Therefore,

the answer is 19!

Answer:

5/9.

Step-by-step explanation:

The slope is the difference in y-values  divided by corresponding difference in x-values.

So here:

Slope = (7-2)/(10-1)

= 5/9.

Answer:

u can use fraction calculator

Step-by-step explanation:

just go and search 'fraction calculator'

Answer:

13.6 and .4

Step-by-step explanation:

3.4x4=13.6

leaving .4 left

Answer:

4 and 2 berries left over.

Step-by-step explanation:

14 divided by 3 = 4

4x3=12

14-12=2

Answer:

5.6

Step-by-step explanation:

if x is -1. multiply -0.6 * -1. Which is -0.6.

Then add -0.6 and 6.2 and the answer you would get is 5.6.

Answer:

17.5

Step-by-step explanation:

7*5/2

Answer:

If the directions say write an equation: 2n + 5 =25

If the directions say also to solve the equation and find the number: 10

Step-by-step explanation:

"The sum" means we're using adding. So what things are we adding together? The question says "twice a number" and 5. Well we've got the 5. And "twice" means two times. And "a number" means we don't know the number yet, so we choose a variable, like n.

"Twice a number" can be written 2n.

So far we have:

2n + 5 is 25

We use = for the "is" in this sentence.

2n + 5 = 25

Now we can solve it.

Subtract 5 from both sides.

2n = 20

Divide by 2 on both sides.

2n/2 = 20/2

n = 10

The number is 10.

Answer:

£650=$1053

£405=$656.1

from the scale we multiply the values of euro by 1.62

Answer:

1.) 401 dollars

2.)656 euros

Answer:

10

Step-by-step explanation:

log4(x+6)=2

x+6=4²

x=4²-6

x=10

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

[tex]log_4(x+6)=2[/tex]

[tex]4^{log_4(x+6)}=4^2[/tex]

[tex]x+6=16[/tex]

[tex]x=10[/tex]

Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.

Answer:

27

Step-by-step explanation:

just do 5+10+12

The linear equations [tex]c_{2}+c_{1}+c_{o} = 3[/tex], [tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] and [tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] can be written given the points [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex].

A quadratic function ([tex]p(x)[/tex]) is a second order polynomial of the form:

[tex]p(x) = \Sigma\limits_{i= 0}^{2} c_{i}\cdot x^{i} = c_{2}\cdot x^{2}+c_{1}\cdot x + c_{o}[/tex] (1)

Where:

To determine the value of all coefficients, we need three distinct points on plane and create a resulting system of linear equations.

If we know that [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex], then the system of linear equations is:

[tex]c_{2}+c_{1}+c_{o} = 3[/tex] (2)

[tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] (3)

[tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] (4)

The linear equations [tex]c_{2}+c_{1}+c_{o} = 3[/tex], [tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] and [tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] can be written given the points [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex].

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Answer:

A. [tex]8cm^{3}[/tex] B. Yes

Step-by-step explanation:

2*2*2=8cm cubed

8*12*10=960 which is greater than 800

Answer:

Step-by-step explanation:

2 x 2 x 2 = 8

the volume is 8 cm^3

8 x 12 x 10 = 960 cm^3

8 / 2 = 4

12 / 2 = 6

10 / 2 = 5

4 x 6 x 5 = 120

you can fit up to 120 cubes into the container

Answer:

[tex]y = \frac{1}{8} x - 3[/tex]

Step-by-step explanation:

Formula for straight lines:

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

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]

Substitute b into original formula

[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]

Answer: i got you my boi answer is x > -3

Step-by-step explanation:

Answer:

The correct answers are:

A) 60 miles; and B) 3.375 hours.

Explanation:

We will use the equation d = rt for this.

For the first leg of the trip, the bird travels 20 miles per hour for x hours.  This gives us the equation

d = 20x

For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour.  He also travels 6 miles less than the return distance, for x hours:

d-6 = 16x

To isolate d, we will add 6 to each side:

d-6+6 = 16x+6

d = 16x+6

We will set the two equations equal to one another, since they both equal d:

20x = 16x+6

Subtract 16x from each side:

20x-16x = 16x+6-16x

4x = 6

Divide both sides by 4:

4x/4 = 6/4

x = 1.5

He travels for 1.5 hours both times.

The first time, 1.5 hours at 20 miles per hour is:

d = 1.5(20) = 30 miles

The original trip is 30 miles.  This makes the entire trip 30(2) = 60 miles.

On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:

24 = 16x

Divide both sides by 16:

24/16 = 16x/16

1.5 = x

If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:

24/1.5 = 30/x

Cross multiplying,

24*x = 1.5(30)

24x = 45

24x/24 = 45/24

x = 1.875

This gives him a total time of 1.5+1.875 = 3.375 hours

Step-by-step explanation:

63 as the product of prime numbers is 3 x 3 x 7.

The highest common factor of 63 and 105 is 21.

Prime numbers are numbers that are only divisible by one and that number. Examples of prime numbers are 5, 7, and 11.

Factors of 63 are: 1, 3, 7, 9, 21, and 63

Prime numbers that are products of 63 = 3 x 3 x 7

The factor of a number is a number that can divide another number without leaving any remainder.

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