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Hunter-Best [27]
2 years ago
11

A small university enrolls in-state and out-of-state students. The number of students enrolled in their most recent freshman cla

ss was 243. The school reported that it enrolled 7 in-state students for every 2 out-of-state students. How many of each type of student was enrolled in the freshman class?
Mathematics
1 answer:
Novosadov [1.4K]2 years ago
6 0

Answer:

Step-by-step explanation:

Download pdf
You might be interested in
How many positive integers between 1000 and 9999 inclusive
bekas [8.4K]

Answer:

Step-by-step explanation:

a.

first number is  1000-1+9=1008

9)1000(1

    9

-------

     10

       9

    -----

       10

         9

       ----

         1

       ----

last number is 9999

9| 9999

  ---------

    1111 |0

    --------

9999=1008+(n-1)9

9999-1008=(n-1)9

n-1=8991/9=999

n=999+1=1000

b.

first digit=1000

last digit=9999-1=9998

2 |9999

  ---------

  |4999|1

9998=1000+(n-1)2

(n-1)2=9998-1000=8998

n-1=4499

n=4499=1=5000

c.not sure

d.

total  numbers=9000

9999=1000+(n-1)1

9999-1000=n-1

n=8999+1=9000

numbers divisible by 3=3000

first number=1002

last number=9999

9999=1002+(n-1)3

(n-1)3=9999-1002=8997

n-1=2999

n=2999+1=3000

numbers not divisible by 3=9000-3000=6000

e.

numbers divisible by 5=1800

first number=1000

last number=9995

9995=1000+(n-1)5

(n-1)5=9995-1000=8995

n-1=1799

n=1799+1=1800

numbers divisible by 7=1286

7 | 1000

  ---------

  |  142-6

1000-6+7=1001

7 | 9999

  |---------

    1428-3

9999-3=9996

first digit=1001

last digit=9996

9996=1001+(n-1)7

(n-1)7=9996-1001=8995

n-1=1285

n=1285+1=1286

numbers divisible by 35=257

first digit=1015

35 ) 1000 ( 28

        70

       ----

        300

        280

        ------

           20

           ---

1000-20+35=1015

35)9999(285

     70

    ----

     299

     280

     -----

        199

        175

        ----

          24

         ----

last digit=9999-24=9975

9975=1015+(n-1)35

(n-1)35=9975-1015=8960

n-1=8960/35=256

n=257

reqd. numbers=1800+1286-257=3019

7 0
3 years ago
You work 35 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you e
rjkz [21]

Answer:

Hourly

Step-by-step explanation:

if you work for that long and for that many hours you would get alot of money in about a month or two.

4 0
3 years ago
Read 2 more answers
Plz help been stuck on it for awhile
sergejj [24]

Step-by-step explanation:

Transitive property of Angle Congruence

5 0
2 years ago
Mason borrowed 1,200 from a friend to buy a new hot tub, His friend does't charge any interest and mason makes 50 payments eavh
balu736 [363]
You can identify the slope and y-intersept. The slope is 50 and the y-intercept is (0, 1200). You could also do the x-intercept, which would be the number of months passed when he pays off the debt fully. The x intercept would be (24,0)
5 0
3 years ago
Can anyone help me please?
miss Akunina [59]

Answer:

  5. -18x^3y^4 +54x^2y^4

  6. 6x^2 -40x +50

Step-by-step explanation:

Use the distributive property. The factor outside parentheses multiplies each term inside parentheses.

__

<h3>5.</h3>

  (9xy)(-2x^2y^3+6xy)=(9xy)(-2x^2y^3)+(9xy)(6xy^3)\\\\=\boxed{-18x^3y^4+54x^2y^4}

__

<h3>6.</h3>

  (3x-5)(2x-10)=3x(2x-10)-5(2x-10)\\\\=6x^2-30x-10x+50=\boxed{6x^2-40x+50}

7 0
2 years ago
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