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liubo4ka [24]
3 years ago
14

As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft costs $100 to rent and eac

h small raft costs $40 to rent. You have $1,600 to spend. Write and solve a linear equation to find the number of small rafts you can rent if you rent 12 large rafts.
Mathematics
1 answer:
Art [367]3 years ago
6 0

Answer- You can get 10 Small rafts

12 x 100+ 1200

1600-1200=400

400/40 =10 Rafts

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Let the function f be defined as f(x)= 5x^2 - 7(4x+3). What is the value of f(3)
Katen [24]

Answer:

f(x) = -60 is your answer

Step-by-step explanation:

Plug in 3 for x

f(x) = 5x² - 7(4x + 3)

f(x) = 5(3²) - 7(4(3) + 3)

Follow PEMDAS. First, solve the parenthesis

3² = 9

4(3) + 3 = 12 + 3 = 15

f(x) = 5(9) - 7(15)

Multiply

f(x) = 45 - 105

Simplify. Subtract

f(x) = 45 - 105

f(x) = -60

f(x) = -60 is your answer

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4 0
3 years ago
A quadratic equation is shown below: 2x2 − 10x − 8 = 0 Part A: Describe the solution(s) to the equation by just determining the
dangina [55]
PART A:

The given quadratic equation is 2x²-10x-8=0

The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c

From the given equation, we have
a = 2
b = -10
c = -8

Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164

The radicand is >0 hence the quadratic equation has two distinct roots

PART B:

4x²-12x+5 = 0

We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12

The pair of number is -2 and -10
Rewriting the equation 
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0

2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2
6 0
3 years ago
12p &lt; 96<br> A. p &lt; 8<br> B. p &lt; 108<br> C. p &lt; 84<br> D. p &gt; –8
inessss [21]

Solution:

<u>Note that:</u>

  • Given inequality: 12p < 96

<u>Dividing both sides by 12:</u>

  • 12p < 96
  • => 12p/12 < 96/12
  • => p < 8

Correct option is A.

<u />

3 0
2 years ago
Read 2 more answers
A tree is 8 feet and 11 inches tall.
Nataly_w [17]

Answer:

2.72 meters

Hope that this helps!

7 0
2 years ago
A painter has enough paint to cover 300 square feet of surface. Which square section of a wall is the largest she could cover wi
jeka94
1) 16 X 16= 256
2) 17 x 17 = 289
3) 18 x 18 = 324
4) 19 x 19 = 361
the answer is 2 because it's the largest number that is smaller than 300.
4 0
3 years ago
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