Tuition for one year at the University of Atlantis costs $12,000 per year. Rachel would like to attend this university and will save money each month for the next 3 years. Her parents will contribute $3,000 for her first year's tuition. How much money will Rachel need to save each month to have enough money for the first year of college at the University of Atlantis?

Answer:

50 degrees

Step-by-step explanation:

We know that an inscribed angle in a circle is 1/2 the arc that it inscribes. So, therefore the arc is inscribed by the 25 degrees is 50. Assuming that the center of the circle is O, the center angle will be the arc measure. Knowing this, angle a is 50 degrees. If you're curious about all these theorems, they can be proved using similar triangles.

fyi, using the same logic, angle b is 25 degrees

Standard form is written Ax + By = C where A, B, and C are all integers.

In other words, no fractions.

Also, the A or the coefficient of the x term must be positive.

The only thing we need to do is add 7x to both sides to get 7x + y = -1.

So 7x + y = -1 is our answer.

Answer: 7x+y=-1

Step-by-step explanation:

Add 7x to both sides

[tex]f(g(h(x)))=f(g(\sqrt x))=f(\sqrt x-1)=\boxed{(\sqrt x-1)^4+4}[/tex]

This is because

[tex]h(x)=\sqrt x[/tex]

[tex]g(x)=x-1[/tex]

[tex]\implies g(h(x))=\sqrt x-1[/tex]

(that is, replace any instance of x in the definition of g with √x )

and

[tex]f(x)=x^4+4[/tex]

[tex]\implies f(\sqrt x-1)=(\sqrt x-1)^4+4[/tex]

(replace any x in f with √x - 1)

Also acceptable:

[tex](\sqrt x-1)^4+4=((\sqrt x)^4-4(\sqrt x)^3+6(\sqrt x)^2-4\sqrt x+1)+4[/tex]

[tex]=\boxed{x^2-4x\sqrt x+6x-4\sqrt x+5}[/tex]

(assuming x is not negative)

Answer:

PY = 14.5

Step-by-step explanation:

The diagonals of a rectangle are congruent and bisect each other, thus

XZ = WY , that is

4x - 1 = x + 7 + x + 7

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = 7.5

Thus

PY = x + t = 7.5 + 7 = 14.5

Step-by-step explanation:

x+7+x+7= 4x-1

2x+14=4x-1

14= 2x-1

15= 2x (divide)

x = 7.5

wp= 7.5cm

not really sure

Answer:

181.8yd

Step-by-step explanation:

Answer:

A- True

Step-by-step explanation:

If you search a picture of the graph then you will see it as well!!! Hope this helps!!!!

Answer:

Consider the reflection of the parallelogram PQRS across the line of reflection wy if RR = 14 Then RZ= If SX=5 then = 5

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Less than 5 is 1,2,3,4 and 4 out of 6 is also equal to 2/3

Answer:

262 pennies

Step-by-step explanation:

If Layla already has 388 pennies and she needs 600 pennies total, all she needs to do is is take the amount she already has away from 600:

Answer:

answer is 7

Step-by-step explanation:

z-(3÷3-1)

make y = 3

z = 7

7 - (3÷3-1)

7 - 0

= 7

I hope it answers your question.

Answer: its 7

have a good day gang

Answer:

D

Step-by-step explanation:

x is greater than 12:

[tex]x>12 \text{ or } 12<x[/tex]

and x is less than or equal to 3 times the value of y:

[tex]12<x\leq 3y[/tex]

We can divide everything by 3:

[tex]4<\frac{x}{3} \leq y[/tex]

Answer:

x = 1/2

Step-by-step explanation:

x^3 = 1/8

Take the cube root of each side

x^3 ^ (1/3) = (1/8)^ (1/3)

Rewriting 8 as 2^3

x^3 ^ (1/3) = (1/2^3)^ (1/3)

x = 1/2

x³ = 1/8

8 can be written as 2³

x³ = 1/2³

(x)³ = (1/2)³

When exponents are same bases are taken and exponents are eliminated

x = 1/2

Answer:

Answer to number 3:

Yes, because these two are similar triangles for sure so all their respective angles are equal in measure, and two pairs of sides are congruent to each other, so the third one must be congruent too.

which of the following isthe√×51? answer is A .0-1

Answer:

-2<x<1

Step-by-step explanation:

-5 < 8x + 11 < 19

Subtract 11 from all sides

-5-11 < 8x + 11-11 < 19-11

-16 < 8x<8

Divide by 8

-16/8 < 8x/8 <8/8

-2<x<1

Answer:

3(6)

??

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

Rs.92.95

Step-by-step explanation:

Given the following :

Metres of cloth purchased = 24.5m

Metres of ribbon = 13.5m

Cost of cloth per metre = Rs.85.40

Cost of Ribbon per metre = Rs.8.50

Total amount given to shopkeeper = Rs. 2300

how much money will he get back?

Total cost of cloth:

Cost per metre * number of metres

85.40 * 24.5 = Rs. 2092.30

Total cost of Ribbon :

Cost per metre * number of metres

8.50 * 13.5 = Rs. 114.75

Total cost of goods purchased :

Rs. (2092.30 + 114.75) = Rs. 2,207.05

Amount of change :

Rs. (2300 - 2207.05) = Rs.92.95

Answer:

Slope= 4

Step-by-step explanation:

y2-y1/x2-x1

5=x1 8=y1 etc.

12-8/6-5

=4/1

Answer:

The slope of the line is 4.

Step-by-step explanation:

To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like [tex]\frac{rise}{run}[/tex], but in terms of finding a slope, it looks like [tex]\frac{y_{2}-y_{1} }{x_2-x_1}[/tex].

For finding the slope of this line with the points (5,8) and (6,12), start by writing down the information given from the question.

[tex]y_2=12[/tex]

[tex]y_1=8[/tex]

[tex]x_2=6[/tex]

[tex]x_1=5[/tex]

Next, plug in the information given from the question into the formula, and the formula will look like [tex]\frac{12-8}{6-5}[/tex]. Then, simplify the equation, which will look like [tex]\frac{4}{1}=4[/tex]. The final answer will be 4.

Answer:

3

Step-by-step explanation:

when 3 is added 3597 becomes 3600 which is square of 60

Answer:

It was reflected over the line x-1 or D.

Step-by-step explanation:

The triangle is no longer in the second quadrant, it moved to the 3rd quadrant meaning it had to be reflected over line x-1

Answer:

x = 1

y = -1

Step-by-step explanation:

3x + 5y = -2

7x - 8y = 15

=> -8y = 15 - 7x

=> -y = 15/8 - 7/8x

=> y = -15/8 + 7/8x

3x + 5(-15/8 + 7/8x) = -2

=> 3x -75/8 + 35/8x = -2

=> 24/8x - 75/8 + 35/8x = -16/8

=> 59/8x - 75/8 = -16/8

=> 59/8x = 59/8

=> x = 59/8 x 8/59

=> x = 472/472

=> x = 1

x = 1

So, 3x + 5y = -2

=> 3 (1) + 5y = -2

=> 3 + 5y = -2

=> 5y = -5

=> y = -5/5

=> y = -1

So, x = 1

=>  y = -1

Answer:

4

Step-by-step explanation:

120/30 = 4

Since a bus can hold 30 students, that means we need 4 busses to hold all 120 students.

Answer:

6 more

Step-by-step explanation:

Find 56% of 75 first

75/x=100/56

(75/x)*x=(100/56)*x      

75=1.78571428571*x      

(1.78571428571) to get x

75/1.78571428571=x

42=x

x=42

Then Find 80% of 60

60/x=100/80

(60/x)*x=(100/80)*x    

60=1.25*x      

60/1.25=x

48=x

x=48

Subtract 48 by 42

=6

Answer:

Step-by-step explanation:

Let (a, b) represent the coordinates of point Q on line x -2y -4 = 0. Then we know that ...

  a -2b -4 = 0

  a -2b = 4

__

If P is the midpoint of QR, then ...

  R = 2P -Q = 2(1, 1) -(a, b) = (2 -a, 2 -b)

We know this point satisfies the equation for the other line:

  x + y = 5

  (2 -a) +(2 -b) = 5

  a + b = -1 . . . . . . . . . . . rearrange to standard form

__

To find the solution to these two equations, we can subtract the first from the second:

  (a +b) -(a -2b) = (-1) -(4)

  3b = -5

  b = -5/3

  a = -1 -1b = -1 -(-5/3) = 2/3

The point Q is (a, b) = (2/3, -5/3).

The point R is ...

  R = (2 -a, 2 -b) = (2 -2/3, 2 -(-5/3)) = (4/3, 11/3)

The exact coordinates of Q and R are ...

  Q(2/3, -5/3), R(4/3, 11/3)

_____

Comment on the GeoGebra solution

The points can be found by reflecting either line across point P. Where that reflected line intersects the other line is one of the points of interest. Of course, the other is its reflection in P. You may recognize the equation for line b' (hidden in the diagram) as matching the second equation we derived above.

Answer:

B

Step-by-step explanation:

If we count the number of points we find out that there are 36 employees

so the fraction must go like x/36

x is the numbers of dots that are less than a 1/2 which are 1/8, 1/4 and 3/8

so x=6

6/36

1/6

so option B

Answer:

soln

let one side be c

let another side be d

then

40=d(vertically opposite angle)

5a =c(vertically opposite angle)

again

c+90=180(being linear pair)

or, c=180-90

therefore, c=90

finally

let c be a

5a=5×90

=450

Answer:

a = 10

Step-by-step explanation:

CF is a straight line , so the 3 angles on it sum to 180° , then

∠ BOA = 180° - (90 + 40)° = 180° - 130° = 50°

∠ DOE = ∠ BOA ( vertical angles ) , then

5a = 50 ( divide both sides by 5 )

a = 10

Answer:

2/7

Step-by-step explanation:

This is basically asking how many 7/10 's fit in 1/5. Or 1/5 divided by 7/10.

1/5 divided by 7/10 is the same as 1/5 times the reciprocal, 10/7. Therefore it is 1/5*10/7, or 10/35.

That simplifies to 2/7.  

Answer:

14...

area = 1/2 b h

b= 7-0 = 7 ... 7/2 = 3.5

h = 7-3 = 4

3.5 * 4 = 14

Step-by-step explanation: