In 1999 the student enrollment at a college was 13% more than it was in 1998 if the enrollment was 12,204 in 2000 which was 8% more than 1999 find the enrollment in 1998

Answer:

Answer:

The faster bus moves at 83mi/h and the slower one moves at 69mi/h.

Step-by-step explanation:

Let's define:

R₁ = rate of bus 1, this is the faster one.

R₂ = rate of bus 2, this is the slower one.

We know that one bus travels 14mi/h slower, then:

R₂ = R₁ - 14mi/h.

Now we know that:

Distance = Speed*Time.

If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:

R₁*2h + R₂*2h = 304 mi

Then we have the two equations:

R₂ = R₁ - 14mi/h

R₁*2h + R₂*2h = 304 mi

The first step is to replace the first equation in the second one, to get:

R₁*2h + (R₁ - 14mi/h)*2h = 304 mi

And now we can solve this for R₁.

R₁*2h + R₁*2h - 14mi/h*2h = 304 mi

R₁*4h - 28mi = 304mi

R₁*4h = 304mi + 28mi = 332mi

R₁ = 332mi/4h = 83mi/h

The faster bus moves at 83mi/h

And we know that the slower one moves at 14mi/h slower than this, then:

R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h

the answer is 22x + 10y

Step-by-step explanation:

7x+7x+x+x+x+x+5y+5y+x+x+x+x = 22x + 10y

Answer:

-13=4y+3 -3

-16=4y ÷4

-4=y

Step-by-step explanation:

hope it helps ^^

Answer:

y = -4

explenation in picture

Answer:

He invested in stocks Say,  = x $

 He invested in bonds = (x/2)+6000

 So,

 x+ x/2 +6000=30000

 2x+x+12000=60000

 3x= 48000

x=16000

 Investment in stocks= 16000  $

Step-by-step explanation:

!!

Answer:

      $ 3 0 , 0 0 0  in Stocks

       $ 2 7 , 0 00  in Bonds

Step-by-step explanation:

        $ 3 0 , 0 0 0

      - $ 3 , 0 0 0

  _  _ _ _ _ _ _ _ _ _

         $ 2 7 , 0 0 0

Answer:

-9

Step-by-step explanation:

Plug in -3 for the x value to get 6 + 5 (-3).  Multiply 5 by -3 to get -15 and subtract that number from 6 to get -9 as your final answer.

Answer:

The second answer is the correct one, f(x) = -(x + 1)² - 2

Step-by-step explanation:

We know that the answer must either be the second or third, because those two have (x + 1) squared, which means that the vertex must have an x co-ordinate of -1.

We also know that the third one can't be correct, as the y-coordinate of -6 requires a negative coefficient of the x^2.  Without that the parabola would be moving upward from its vertex of (-1, -2).

With those we can eliminate all answers but the second one

Answer:

Step-by-step explanation:

Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.

Question 9 options:

f(x) = −(x + 1)2 − 2

Answer:

Expand on the name.......

Answer:

Your answer is 264

Step-by-step explanation:

Answer:

I like your new haircut, dad.

Step-by-step explanation:

I'm pretty sure

Answer:

544

Step-by-step explanation:

102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16

Answer:

544

Step-by-step explanation:

102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16 which is 544.

Answer:

The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively (

Answer: mean: 4

standard deviation: 1.79

Step-by-step explanation:

Answer:

15 cm

Step-by-step explanation:

The perimeter of a rectangle is 2(L + W), where L is length of the rectangle and W is the width.

If we plug in 10 for W, we get this:

2L + 2(10) = 50 <-- the perimeter

2L + 20 = 50

2L = 30

L = 15

Answer:

im allergic to cookies

Step-by-step explanation:

Answer:

f(4) = 6

Step-by-step explanation:

When you have a function f(x) the number inside the parenthesis is the x value. In this case its 4. So the function value for f(4) is 6 because that is where the line is at x = 4

Answer:

64

Step-by-step explanation:

n/4-3=13

n/4=16

n=64

Answer:

well i donk know

so but just trying to get points

Step-by-step explanation:

Question does not specify how many year and is in plural form considering the level of question I will consider it is some typo error and is just 1 year

Step 1

Finding Intrest for Rs200

We have

Principal(P) = Rs 200

Rate (R) = 7%pa

Time (T) = 1year

Intrest(I) =?

We have ,

I =PTR/100

=200*7/100

=Rs 14

Step 2

Finding intrest for Rs2000

Given

Principal(P)=Rs2000

Rate(R) =11%

Time(T) =1 year

Intrest(I) =?

We know,

I =PTR/100

=2000*11/100

= 20*11

=Rs 220

Given:

A line segment AB on a coordinate plane.

The rule of translation is

[tex]f(x,y)\to (x-6,y-3)[/tex]

To find:

The coordinates of A' and B'.

Solution:

From the given graph, it is clear that the coordinates of A and B are A(1,3) and B(5,1).

The rule of translation is

[tex]f(x,y)\to (x-6,y-3)[/tex]

Using this rule, we get

[tex]A(1,3)\to A'(1-6,3-3)[/tex]

[tex]A(1,3)\to A'(-5,0)[/tex]

And,

[tex]B(5,1)\to B'(5-6,1-3)[/tex]

[tex]B(5,1)\to B'(-1,-2)[/tex]

Therefore, the coordinates of A' and B' are A'(-5,0) and B'(-1,-2).

Answer:

12.8% decrease

Step-by-step explanation:

if you find the unit rate for the sale, which would be 125 cents divided by 3 cans, equals around 43.6 cents per can. 43.6 cents is an x% decrease of 50 cents, and to find x easily i multiplied by 2. 43.6 x 2=87.2, and 50 x 2 = 100. that means that the sale price is 87.2 % of the original price, which is a 12.8% decrease.

Answer:

The answer is 2.3 B It is just by dividing

Answer:

B. 2.3

Step-by-step explanation:

Change the divisor 4.4 to a whole number by moving the decimal point 1 place to the right. Then move the decimal point in the dividend the same, 1 place to the right.

We then have the equations:

101.2 ÷ 44 = 2.3

and therefore:

10.12 ÷ 4.4 = 2.3

Answer: wheres the attachment..

Step-by-step explanation:

¿Qué no entiendes para que pueda ayudarte?

Answer:

Como puedo ayudar?

Step-by-step explanation:

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

The triangle on the right is shorter than the triangle on the left, plus you an clearly see that we do not have enough information as proof that we cannot use this theorem.

I am joyous to assist you at any time.

Answer:

8,760

Step-by-step explanation:

365 X 24

Solution :

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

This is a valid probability distribution.

In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.

Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.

Valid probability models add up to 1

The probability is a valid probability model

The probability model is given as:

Days :              0           1        2         3         4          5        6         7

Probability : 0.68     0.05   0.07   0.08   0.05    0.04   0.01    0.02

To determine if the model is a valid probability model, or not

We make use of:

[tex]\mathbf{\sum P(x) = 1}[/tex]

So, we have:

[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]

Add the probabilities

[tex]\mathbf{ 1= 1}[/tex]

The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]

Hence, the probability is a valid probability model

Read more about probability models at:

https://brainly.com/question/9965602

Answer:

c. 20%

Step-by-step explanation:

3/15=1/5

1 divided by 5 = .2

Move decimal point 2 times to get percent.

20%

Answer:

6 < x ≤ 10

Step-by-step explanation:

The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).

That is: x > 6 and x ≤ 10

This can be written as: 6 < x ≤ 10