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meriva
3 years ago
14

The 9 officers of the Student Council are going on a trip to an amusement park. Each student must pay an entrance fee plus $5 fo

r meals. The total cost of the trip is $225. Solve the equation 9(e + 5) = 225 to find the cost e of the entrance fee for each student. A. $20 B. $45 C. $25 D. $14
Mathematics
1 answer:
nadya68 [22]3 years ago
4 0
$20 admission + $5 food = $25 total per person
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Simplify and express in exponential form: 8^-1 * 3^3/ 2^-4 * 9^-2
Yuri [45]

Answer:

2^1* 3^7

Step-by-step explanation:

8^-1 * 3^3/ 2^-4 * 9^-2

Negative exponents move from the numerator to the denominator or from the denominator to the numerator

2^4*9^2* 3^3 /8^1  

Rewriting 9^2 as 3^2^2 = 3^4  and 8 = 2^3

2^4 * 3^3 * 3^4 / 2^3

2^4/ 2^3 = 2   and 3^3 * 3^4 = 3^(3+4) = 3^7

2* 3^7

5 0
3 years ago
Read 2 more answers
The area of a square is increasing at a rate of 24 centimeters squared per second. Find the rate of change of the side of the sq
velikii [3]

Answer:

3cm/s

Step-by-step explanation:

Area of a square is expressed as:

A = L²

Rate of change of area is expressed as:

dA/dt = dA/dL•dL/dt

Given that

dA/dt = 24cm²/s

L = 4cm

Required

dL/dt

Since dA/dl = 2L

dA/dl = 2(4)

dA/dl = 8cm

Subatitute the given values into the formula

24 = 8 dL/dt

dL/dt = 24/8

dL/dt = 3cm/s

8 0
3 years ago
HELP PLEASE ITS DUE TOMMOROW AND I HAVE 2 TESTS TO TAKE TODAY D:
Mashcka [7]

Answer:

x=25

x=47

y=25 x=10

y=20

Step-by-step explanation:

2x+10=60

-10 -10

2x=50

2x/2=50/2

x=25

2x+6=100

-6 -6

2x=94

2x/2=94/2

x=47

5y-25=100

+25 +25

5y=125

5y/5=125/5

y=25

11x-30+100=180

11x+70=180

-70 -70

11x=110

11x/11=110/11

x=10

7y-10=3y+70

+10 +10

7y=3y+80

-3y-3y

4y=80

4y/4=80/4

y=20

hopefully this helps :)

8 0
3 years ago
How do i solve (3c^2d^4) ^3 x (2c^5d^8)^3?
vredina [299]

Answer:

216c^{21}d^{36}

Step-by-step explanation:

(3c^2d^4)^3 * (2x^5d^8)^3

(3c^2)^3 (d^4)^3 * (2c^5)^3 (d^8)^3

27c^6 d^{12} * 8c^{15} d^{24}

216c^{21}d^{36}

Hope this helps!

7 0
2 years ago
All factors of x cubed minus 6x squared plus 11x minus 6
miv72 [106K]

Answer:

Step-by-step explanation:

x³-6x²+11x-6

put x=1

1³-6×1²+11×1-6=1-6=11-6=0

by synthetic division

1| 1 -6  11   -6

|     1  -5    6

|----------------

| 1  -5  6 |0

x²-5x+6=0

x²-2x-3x+6=0

x(x-2)-3(x-2)=0

(x-2)(x-3)=0

x=1

x-1=0

so x³-6x²+11x-6=(x-1)(x-2)(x-3)

6 0
3 years ago
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