How much does college tuition cost? That depends, of course, on where you go to college. Construct a weighted average. Using the data from "College Affordable for Most," estimate midpoints for the cost intervals. Say 46% of tuitions cost about $4,500; 21% cost about $7,500; 7% cost about $12,000; 8% cost about $18,000; 9% cost about $24,000; and 9% cost about $31,000. Compute the weighted average of college tuition charged at all colleges.

Answer:

The proportion of red candies is 60/100.

Step-by-step explanation:

Given that sixty out of every 100 pieces of candy is red, to determine which indicates the proportion of red candies, the following calculation must be performed:

60 red candies out of 100 total candies

60/100

Therefore, the ratio of red candies is 60/100.

Given:

The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).

PQ and PR are the adjacent sides of the parallelogram.

To find:

The coordinates of vertex S.

Solution:

We know that, the diagonals of a parallelogram bisect each other.

Let the coordinates of the vertex S are (a,b,c).

In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)[/tex]

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1+a}{2}=\dfrac{3}{2}[/tex]

[tex]1+a=3[/tex]

[tex]a=3-1[/tex]

[tex]a=2[/tex]

Similarly,

[tex]\dfrac{2+b}{2}=\dfrac{2}{2}[/tex]

[tex]2+b=2[/tex]

[tex]b=2-2[/tex]

[tex]b=0[/tex]

And,

[tex]\dfrac{1+c}{2}=\dfrac{-1}{2}[/tex]

[tex]1+c=-1[/tex]

[tex]c=-1-1[/tex]

[tex]c=-2[/tex]

Hence, the coordinates of vertex S are (2,0,-2).

Answer: A

-4(3e+4)=

-12e-16

Step-by-step explanation:

-7+3(-4e-3)=

-7-12e-9=

-12e-16

Answer:

[tex]\frac{3}{4} -\frac{5}{16} =\frac{3(4)}{4(4)} =\frac{5}{16} =\frac{12}{16} -\frac{5}{16} =\frac{7}{16}[/tex]

Answer:

7/16

Step-by-step explanation:

3/4 - 5/16

Get a common denominator of 16

3/4 *4/4  -5/16

12/16 - 5/16

7/16

Answer:

∠ ADB = 19°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

∠ CDA = 180° - ∠ DAB = 180° - 138° = 42°

Then

∠ ADB + ∠ CDB = 42° , that is

∠ ADB + 23° = 42° ( subtract 23° from both sides )

∠ ADB = 19°

Answer:

D is the least common denominator

Answer:

The answer is "21.6".

Step-by-step explanation:

Let A stand for tent 1

Let B stand for tent 2

Let C be a shower

Using cosine formula:  

[tex]c= \sqrt{b^2 +a^2 - 2ab\cdot \cos(C)}\\\\[/tex]

  [tex]= \sqrt{(19)^2 + (15)^2 - 2\cdot 19 \cdot 15 \cdot \cos(78^{\circ})}\\\\= \sqrt{361 + 225 - 570\cdot \cos(78^{\circ})}\\\\ = \sqrt{586- 570\cdot \cos(78^{\circ})}\\\\= 21.6\\\\[/tex]

Therefore, you need to reduce the similarity from B to C which is the length from tent 2 to shower:

Tent 2 Distance to Dusk = 21.6m

Bert's tent is 21.6m away from the shower

Answer:

option d.opposite / adjacent

Step-by-step explanation:

opposite /adjacent ratio represents the tangent of an angle .

hope it is helpful to you ☺️

Answer:

D.

Step-by-step explanation:

From the trigonometry shortcuts we can use the acronyms:

SOH  CAH  TOA

for an arbitrary angle Ф, plug in the length of the sides:

sin(Ф) = opposite/hypotenuse

cos(Ф) = adjacent/hypotenuse

tan(Ф) = opposite/adjacent

Answer:

10

Step-by-step explanation:

1. [tex]6^{2} + 8^{2} = c^{2}[/tex]

2 [tex]100 = c^{2}[/tex]

3. c = 10

Answer:

17

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The composite solid is made up of a cone and a rectangular prism.

Volume of the composite solid = volume of the cone + volume of the rectangular prism

✔️Volume of Cone = ⅓*π*r²*h

Where,

r = 4.8 yd

h = √(6² - 4.8²) = √12.96 = 3.6 yd

Substitute

Volume of cone = ⅓*π*4.8²*3.6

= 86.86 yd²

✔️Volume of rectangular prism = l*b*h

Where,

l = 7 yd

w = 5 yd

h = 4.5 yd

Substitute

Volume of prism = 7*5*4.5 = 157.5 yd²

✔️Volume of composite solid = 86.86 + 157.6 = 244.4 yd² (which is close to 244.36 yd²)

Answer:

what is thisssss

Step-by-step explanation:

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Angle U is supplementary to the arc intercepted by the tangents.

  5x +10 = 180 -110

  5x = 60 . . . . . . subtract 10 and simplify

  x = 12 . . . . . . . . divide by 5

Answer:

x = 135

Step-by-step explanation:

Answer:

B = 55°

b = 17.1 (rounded to the nearest tenth)

c = 20.9 (rounded to the nearest tenth)

Answer:

(4, 2)

Step-by-step explanation:

½x + y = 4

y = 4 - ½x

½x - y = 0

½x - (4 - ½x) = 0

½x - 4 + ½x = 0

x = 4

y = 4 - ½(4)

y = 2

Answer:

[tex]\text{A. }39/50[/tex]

Step-by-step explanation:

The probability that a randomly selected cap will not be green is equal to the number of non-green caps divided by the total number of caps.

Since there are 100 caps total and 22 are green, there must be [tex]100-22=78[/tex] non-green caps.

Divide this by the total number of caps (100) to get the probability that a randomly selected cap will not be green:

[tex]\frac{78}{100}[/tex]

Simplify by dividing both the numerator and denominator by 2:

[tex]\frac{78}{100}=\boxed{39/50}[/tex]

Answer:

C

Step-by-step explanation:

Rationalize the denominator by multiplying [tex]\frac{\sqrt{5}}{\sqrt{5} }[/tex]. The denominator will become 5, while the numerator will be 3[tex]\sqrt{100}[/tex]. This is equal to 30/5, which is 6.

Hope this helps!

Answer:

480

Step-by-step explanation:

(10)3- (2)3- (8)3

1000- 8- 512

= 480

Please mark mee brainlist....

Step-by-step explanation:

if u like this answer plz mark as brainlist

Angle formed by each blade = 40°

So, total angle formed by 3 blades

= 40° × 3 = 120°

Total angle of a circle = 360°

Ratio of angle formed by total circle to angle formed by the 3 blades

= 360° : 120°

= 360 : 120

= 3 : 1

Total area of circle

= πr²

= π(3m)²

= π9m²

Let the area of blades be x.

So, area of total circle : x = 3 : 1

= π9m² : x = 3 : 1

= π9m²/x = 3/1

= π9m²/3 = x/1

= π9m²/3 = x

= π3m² = x

So, the area of all three blades is π3m².

Answer:

Step-by-step explanation:

a

Answer:

17

Step-by-step explanation:

1. 3(5) + 2

2. 15 + 2

3. 17

Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

Let x = 5

f(5) = 3*5+2

    = 15+2

     = 17

Answer:

z-score=2.17

Step-by-step explanation:

We are given that

Mean, [tex]\mu=0[/tex]

Standard deviation, [tex]\sigma=1[/tex]

Probability, p-value=0.9850

We have to find z-score for the standard normal distribution  with mean 0 and standard deviation 1 with the probability 0.9850.

To find the z score for the standard normal distribution we will use z-table.

From z- table we get

p-value =0.9850 when z -score=2.17

[tex]\implies[/tex]z-score corresponding to p-value=2.17

Therefore, the z-score for the standard normal distribution with mean 0 and standard deviation 1 with the probability 0.9850=2.17

Answer:

D(q) = -(3)/(4,000)q+19.5

Step-by-step explanation:

Given:

overall capacity = 60000

price in point one = 11

spectators in first point = 26000

second point - price = 8

spectators = 30000

solution:

The demand of a product as a function of its price and other factors such as the prices of the substitutes and complementary goods, income is the expression known as demand function. It is represented by D(q)

we have two points in our line for given ques:

first point of line = (26,000, 11)

second point of line = (30,000, 8)

Slope = (11 - 8)/(26,000 - 30,000)

= (3)/(-4,000)

y = mx + b

here, b = factors influencing demand besides price

m = slope

x = price

10 = (3)/(-4,000) )(26,000) + b

b = 19.5

y = -(3)/(4,000)+19.5

D(q) = -(3)/(4,000)q+19.5

Answer:

The equation is

y=1/4x-3

Answer:

y = 1/4x - 5

Step-by-step explanation:

If gradient or slope (m) equal to 1/4

then y - y¹ = m( x - x¹) ..........(1)

where the line happen to be passing through the point given above

therefore let x¹ be 8.........(2)

and y¹ be -3...............(3)

substitute (3) and (2) into (1)

we have y -(-3) = 1/4 (x - 8)

so 4(y+3)= (x-8)

4y = x - 8 - 12

therefore y = 1/4x - 5

Answer:

4 miles per hour

Step-by-step explanation:

3 miles

Change the 45 minutes to hours

45 minutes * 1 hour/60 minutes = 3/4 hour

3 miles ÷ 3/4 hour

Copy dot flip

3 * 4/3

4 miles per hour

Answer:

10:18am

Step-by-step explanation:

The time at which they meet, given that Ivan leaves his house at 8:00 A.M. and bikes towards Kate's house at a constant speed of 12 mph, while Kate leaves her house at 9:30 A.M. but bikes toward Ivan at a constant speed of 18 mph is 10:18 A.M.

The speed of a body is given as the ratio of the distance it travels and the time it takes. Thus, it can be shown as:

Speed = Distance/Time.

The other equations formed from this are:

Distance = Speed*Time

Time = Distance/Speed.

In the question, we are given that Ivan and Kate live 42 miles apart.

We are asked for the time at which they meet, given that Ivan leaves his house at 8:00 A.M. and bikes towards Kate's house at a constant speed of 12 mph, while Kate leaves her house at 9:30 A.M. but bikes toward Ivan at a constant speed of 18 mph.

The time for which Ivan travels alone is from 8:00 A.M. to 9:30 A.M., that is, 1.5 hours.

The distance covered by Ivan at a constant speed of 12 mph during this time can be shown as,

Distance = Speed*Time,

or, Distance = 12*1.5 = 18 miles.

The distance left to be covered now is, 42 - 18 miles = 24 miles.

After 9:30 A.M., both Ivan and Kate are biking toward each other.

Thus, their relative speed moving toward each other is the sum of their speeds.

Thus, the relative speed = 12 + 18 = 30 mph.

Thus, the time taken by them after 9:30 A.M. to meet can be shown as:

Time = Distance/Speed,

or, Time = 24/30 = 0.8 hours = 48 minutes.

Thus, Ivan and Kate meet at 9:30 + 48 minutes = 10:18 A.M.

Thus, the time at which they meet, given that Ivan leaves his house at 8:00 A.M. and bikes towards Kate's house at a constant speed of 12 mph, while Kate leaves her house at 9:30 A.M. but bikes toward Ivan at a constant speed of 18 mph is 10:18 A.M.

Learn more about speed at

https://brainly.com/question/6504879

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Answer:y - y1 = m(x + x1)

m = (y2 - y1)/(x2 - x1) = (-6 - 2)/(-1 - 5) = -8/(-6) = 4/3

y - 2 = 4/3(x - 5) is a possible answer

y + 6 = 4/3(x + 1) is also a possible answer

Step-by-step explanation:

can i be brainliest

Answer:

f(-10) = 2 times -10 + 1

= -19

f(2) = 2^2

= 4

f(-5) = 2 times -5 + 1

= -9

f(-1) = (-1)^2

= 1

f(8) = 3-8

= -5

Step-by-step explanation: