Shawn is buying his first home. At closing he brought a check for $7570. The
closing costs were as follows:
Title Fee
Processing Fee
Appraisal
No. of Points
$545
$2100
$695
2
Based on this information, how much did the house cost?
A. $211,500
B. $141,000
C. $159,000
D. $175,000

Answer:

[tex]0.0467[/tex] is the probability that none of the graduates have a summer job

Step-by-step explanation:

Here

P [tex]= 0.40[/tex] and n [tex]= 6[/tex]

Probability that none of the graduate gets job

this means that x = 0

P (x = 0) [tex]= ^6C_0 * (0.40)^0 * (0.60)^6[/tex]

P (x = 0) [tex]= 0.0467[/tex]

Answer:

ouhnewu0h8coehuqnce0nuqfenueqnuqwe0nu8iquenw

Step-by-step explanation:

uieqnueru0njfqenu0fqenuen0rue0fuinfuine0

Answer:

x = 11 and y = 4

Step-by-step explanation:

Given equations are :

x+y=15 ...(1)

-2x+5y=-2 ...(2)

We need to solve the systems of equations.

Multiply equation (1) by 2.

2x+2y=30 ...(3)

Adding equation (2) and (3).

-2x+5y+2x+2y = -2+30

7y = 28

y = 4

Put the value of y in equation (1).

x+4=15

x = 11

So, the solution of the given equations are x = 11 and y = 4.

Answer:

not simplified: 18/44    

Simplified: 9/22

Step-by-step explanation:

Answer:

31.4159in

Step-by-step explanation:

Answer:

31.4

Step-by-step explanation:

Answer:

8 is the answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex]z=2^{3}[/tex]

This question is essentially asking what is two to the third power, or;

[tex]2 * 2 * 2[/tex]

[tex]= 8[/tex]

Answer:

Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] are inside this circular area.

[tex](6 - 5)^{2} + (0 - 1)^{2} = 2 < 22[/tex].

[tex](8 - 5)^{2} + (2 - 1)^{2} = 10 < 22[/tex].

Step-by-step explanation:

Equation for a circle in 2D, with center [tex](a,\, b)[/tex] and radius [tex]r[/tex]:

[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].

Compare this expression with the one from this question:

[tex](x - 5)^{2} + (y - 1)^{2} = 22 = \left(\sqrt{22}\right)^{2}[/tex].

Hence: [tex]a = 5[/tex], [tex]b = 1[/tex], and [tex]r = \sqrt{22}[/tex].

Therefore, [tex]\! (5,\, 1)[/tex] and [tex]\sqrt{22}[/tex] would be the center and the radius of the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].

A point is inside a circle if and only the Euclidean distance between that point and the center of that circle is smaller than the radius of the circle. That is the same as requiring that the square of the Euclidean distance between these two points to be smaller than the square of the radius of the circle.

Formula for the Euclidean distance between [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex]:

[tex]\displaystyle \sqrt{(x_1 - x_2)^{2} + (y_1 - y_2)^{2}}[/tex].

The square of the Euclidean distance between these two points would be:

[tex]\displaystyle (x_1 - x_2)^{2} + (y_1 - y_2)^{2}[/tex].

Calculate the square of the distance between [tex](6,\, 0)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].

[tex](6 - 5)^{2} + (0 - 1)^{2} = 2[/tex].

The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](6,\, 0)[/tex] is inside this circle.

Similarly, calculate the square of the distance between [tex](8,\, 2)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].

[tex](8 - 5)^{2} + (2 - 1)^{2} = 10[/tex].

The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](8,\, 2)[/tex] is also inside this circle.

Notice that the point [tex](x,\, y)[/tex] is on the 2D circle [tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex] if and only if [tex]x[/tex] and [tex]y[/tex] satisfy the equation of that circle.

On the other hand, [tex](x,\, y)[/tex] is inside this circle if and only [tex]x[/tex] and [tex]y[/tex] satisfy the inequality [tex](x - a)^{2} + (y - b)^{2} < r^{2}[/tex].

Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] satisfy the inequality [tex](x - 5)^{2} + (y - 1)^{2} < 22[/tex]. Hence, both points are inside the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].

Answer:

A) 23cm.

B) 32.0625 square cm.

Step-by-step explanation:

Perimeter: Just add all the sides together like so:

4.75x2 + 6.75x2 = 23cm.

Area: Multiply the base and height together:

4.75 x 6.75 = 32.0625 square cm.

23cm

4.75 + 4.75 = 9.50

6.75 + 6.75 = 13.50

13.50 + 9.50 = 23.00

Answer: 102cm²

Step-by-step explanation:

Area of base = 6 × 7 ÷ 2 = 21

Area of lateral face = 6 × 9 ÷ 2 = 27

Since all of the sides of the base are equal, we can multiply the area of 1 lateral face by 3 to get the area of all the lateral faces.

27 × 3 = 81.

Now we add up the area of the base and the lateral faces.

21 + 81 = 102cm²

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

Answer: $3.50

Step-by-step explanation:

Let the cost of domestic shipping be x.

Since the cost of international shipping is $2.50 greater than the cost of domestic shipping. This will be:

= x + 2.50

Since we are further told that three of the cards will be shipped domestically, and two will be shipped internationally and that $22.50 will be spent on shipping, this will be express in an equation as:

3x + 2(x + 2.50) = 22.50

3x + 2x + 5.00 = 22.50

5x = 22.50 - 5.00

5x = 17.50

x = 17.50/5

x = $3.50

The cost if domestic shipping is $3.50

Answer:

Q1: no solution

Q2: one solution

Q3: infinite solutions

Step-by-step explanation:

Question 1

Answer: No solution

-------------------

Explanation:

Multiply both sides of the first equation by 3. Doing so leads to

3*(5x+2y) = 3*(-7)

15x+6y = -21

The second equation is 15x+6y = 21

Let's say we let z = 15x+6y

This means the system

[tex]\begin{cases}15x+6y = -21\\15x+6y = 21\end{cases}[/tex]

becomes

[tex]\begin{cases}z = -21\\z = 21\end{cases}[/tex]

but we can't have z be equal to more than one value at a time. We have a contradiction and therefore there are no solutions.

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

Question 2

Answer: One solution

The solution is (x,y) = (5/6)

-------------------

Explanation:

Apply substitution

2x - 4y = 1

2x - 4(2x+1) = 1

2x - 8x - 4 = 1

-6x - 4 = 1

6x = 1+4

6x = 5

x = 5/6

Then use this to find y

y = 2x+1

y = 2(5/6)+1

y = 5/3 + 1

y = 5/3 + 3/3

y = 8/3

The one solution is (x,y) = (5/6)

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

Question 3

Answer: Infinitely many solutions

-------------------

Explanation:

Multiply both sides of the second equation by 2

3x+2y = 5 becomes 2*(3x+2y) = 2*5 which turns into 6x+4y = 10

This is exactly identical to the first equation of the original system given.

So both equations represent the same thing. We have infinitely many intersection points, and infinitely many solutions.

All of these solutions are on the line 3x+2y = 5

Answer:

x=5

Step-by-step explanation:

subtract 4x from both sides

7x-4x=4x-4x+15

3x=15

divide by 3 on both sides

3x/3=15/3

x=5

Answer:

C = 24/25

Step-by-step explanation:

Recall, CAH.

Thus:

Cos T = adjacent/hypotenuse

Reference angle = T

Adjacent = 24

Hypotenuse = 25

Therefore,

Cos T = 24/25

Answer:

Mean= 7

Step-by-step explanation:

The numbers are 5, 7, 9

Mean= sum of numbers/ total numbers

= 5+7+9/3

= 21/3

= 7

Hence the mean is 7

Step-by-step explanation:

Let's pick some easy numbers for illustration.

Let x equal our initial stock purchase, and, say it was $100.

x = $100

The problem says it's value dropped by 17.2%. If x = 100 is 100% of our stock value the 17.2% less is

[tex]x - 0.172x = 0.828x[/tex]

So now our stock is worth 0.828(100) = $82.80.

Now how much of an increase do we need to get back to $100.

[tex]100 - 82.80 = 17.20[/tex]

So our base is $82.80 because our stock price dropped, we want to know what percent increase is $17.20 of $82.80

[tex]17.20 \div 82.80 = 0.2077[/tex]

Or 20.77% increase to get back to original price.

To make this generic, since $100 is not supplied information, substitute x for 100 and 0.828x for the amount of money dropped.

x = original stock value

[tex]x - 0.828x [/tex]

Is the amount of value lost, and to be regained in the second part of the question.

To find out what portion the decrease is of the new value

[tex] \frac{(x - 0.828x)}{0.828x} = \frac{0.172x}{0.828x} = 0.2077 [/tex]

Or 20.77%

Answer:

1200 revolutions per second

Step-by-step explanation:

60 seconds per minute so multiply 60 x 20 to get 1,200

Answer:

3.590ft

Step-by-step explanation:

We know what the circumference of the circle is, and we need to find its diameter. Therefore, we need to find an equation that links the two together.

Well, what comes to mind is the fact that the circumeference, [tex]c[/tex], is equal to [tex]\pi[/tex] multiplied by the diameter, [tex]d[/tex]. We can express this like so:

[tex]c = \pi d[/tex].

In this scenario, we know what [tex]c[/tex] is, so we need to rearrange the formula to make [tex]d[/tex] the subject. Dividing both sides by [tex]\pi[/tex] will accomplish this, and gives us:

[tex]\frac{c}{\pi} = d[/tex].

So if we divide the circumference by [tex]\pi[/tex], we will find the diamater. Well,

[tex]\frac{11.277}{\pi} = 3.58958...[/tex]

and so to 3 decimal places we get the answer

[tex]d = 3.590\text{ft}[/tex].

Answer:

w=120, x= 120, y= 60, z= 60

Step-by-step explanation:

Answer:

one seventh of 14 increased by 12 is 14

Step-by-step explanation:

so my example will use 14, so one seventh of 14 is 14 divided by 7 which is 2 then you just add 12 to 2 which gets you 14

An expression is defined as a set of numbers, variables, and mathematical operations. The given statement "One-seventh of a number, increased by twelve" is written as (x/7)+12.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given statement "One-seventh of a number, increased by twelve" can be written in the form of an expression as shown below.

Hence, The given statement "One-seventh of a number, increased by twelve" is written as (x/7)+12.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Answer:

25

Step-by-step explanation:

250/10 = 25

Answer:

It is 25

Step-by-step explanation:

I did the test

Answer:

12x42=504

504/2=252

252

Step-by-step explanation:

um are you ok dude/ma'am?

Answer:

55

Step-by-step explanation:

Answer:

Amy traveled at 4.5 mph, while Jim traveled at 6 mph. Therefore, Jim traveled at a greater average speed.

Step-by-step explanation:

Given that Amy drove her hoverboard 3 miles in 40 minutes, while Jim hopped 2 miles in 20 minutes, to determine who traveled at a greater average speed, the following calculation must be performed:

(3/40) x 60 = Amy's speed

0.075 x 60 = Amy's speed

4.5 = Amy's speed

So Amy traveled 4.5 miles per hour.

(2/20) x 60 = Jim's speed

0.1 x 60 = Jim's velocity

6 = Jim's speed

Instead, Jim traveled 6 miles per hour.

Therefore, Jim was the one who traveled at a greater average speed.

Answer:

1 2/3 = (1•3+2)/3 = 5/3. Therefore, 5/3 ÷ 1/3. = 5.

Step-by-step explanation:

So the answer is 5.

2. m < -5