MATHEMATICS HIGH SCHOOL

Which of the following options is a better purchase for a bicycle? Option 1: A cash sale for $88 Option 2: $5 down with equal payments of $8 for 10 weeks
Option 3: $12 down with equal payments of $5 for 12 months
Option 4: $20 down with equal payments of $20 for 12 months

(A.) Option 3
B. Option 1
C. Option 2
D. Option 4

Answers

Answer 1
Answer:

Answer:

Option 3

Explanation:

To get the value of the cheapest bike, best option, we will calculate the total cost of each bike:

i- Option 1:

Total cost = $88

ii- Option 2:

$5 down payment and $8 per week for 10 weeks

Total cost = 5 + 8(10) = 5 + 80 = $85

iii- Option 3:

$12 down payment and $5 per month for 12 months

Total cost = 12 + 5(12) = 12 + 60 = $72

iv- Option 4:

$20 down payment and $20 per month for 12 months

Total cost = 20 + 20(12) = 20 + 240 = $260

Now, from the above calculations, we can conclude that:

The best price would be that of option 3 ($72). It is the lowest price compared to other option.

Hope this helps :)
Answer 2
Answer:

Answer:

The answer is option 3

Step-by-step explanation:

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Solve the following using factoring x²+12=7×​

Answers

Answer:

(x-4)(x-3)

Step-by-step explanation:

x^2+12=7x  move the 7x to the other side

x^2-7x+12

(x-4)(x-3)

A restaurant bill is $20. Find the 15% tip.

Answers

Answer:

You want to leave a 15% tip on a meal that cost $20. 0.15 x $20.00=$3.00. So, the amount of tip you are going to leave is $3.00.

Step-by-step explanation:

Answer $3.00

Step-by-step explanation:

Please help me with these 6 through 10 :)

Answers

6.) constant = 75

7.) open sentence = 6 + 22 = 28

8.) equation = 17 + b = 47

9.) solution = when x + 37 = 62, x = 25

The perimeter of a triangle is 42 yards. The first side is 5 yards less than the second side, and the third side is 2 yards less than the first side. What is the length of each side?

Answers

Let the second side be equal to x Then the first side is x-5 The third side will be x-5-2 = x-7 Therefore you add all the following sides and equate it to 42 yards. Ie x+x+5+x-7 = 42 3x=44 X= 44/3 Therefore the second sides length is 44/3 The first sides length is 44/3 -5 = 29/3 The third side is 44/3 -7 = 23/3

Show work
solve x^2-6x= -25

Answers

Answer: x = 3 ± 4i

Step-by-step explanation:

 x² - 6x + 25 = 0

a=1  b= -6  c=25

Use Quadratic Formula:

x = \frac{-b +/- \sqrt{b^(2)-4ac}}{2a}

= \frac{-(-6) +/- \sqrt{(-6)^(2)-4(1)(25)}}{2(1)}

= (6 +/- √(36-100))/(2)

= (6 +/- √(-64))/(2)

= (6 +/- 8i)/(2)

= (2(3 +/- 4i))/(2)

  = 3 ± 4i

Answer:

x= 3+4i , x= 3-4i

Step-by-step explanation:

x^2-6x= -25

To solve for x  we need to make right hand side

So add 25 on both sides

x^2-6x+25=0

Now apply quadratic formula

x=(-b+-√(b^2-4ac))/(2a)

From the given equation a=1, b=-6  and c=25

Plug in all the values in the formula

x=(-(-6)+-√((-6)^2-4(1)(25)))/(2(1))

x=(6+-√(-64))/(2)

We know  √(-1) =i

So equation becomes

x=(6+8i)/(2)

Divide by 2

x= 3+-4i

So x= 3+4i , x= 3-4i

Susan wants to make pumpkin bread and coffee cakes for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her pumpkin bread recipe uses 2 eggs and 3 cups of flour. Her coffee cake recipe uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and coffee cake loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of coffee cake Susan bakes. What is the objective function for the problem? A. P = 15x + 16yB. P = 5x + 7y
C. P = 5x + 4y
D. P = 4x + 5y

Answers

Answer:

Option C is correct that is  P=5x+4y

Step-by-step explanation:

We have given  She has 15 eggs and 16 cups of flour in her pantry. Her pumpkin bread recipe uses 2 eggs and 3 cups of flour. Her coffee cake recipe uses 3 eggs and 4 cups of flour

Let x represents number of loaves of pumpkin bread

And y represents the number of loaves of coffee cake Susan bakes

Since, She plans to sell pumpkin bread loaves for $5 each and coffee cake loaves for $4 each.

Hence, P=5x+4y

Therefore, option C is correct.
The answer is C because in the problem, it states that Susan is selling pumpkin bread for 5 dollars, in which would be 5x. It also stated that she is selling coffee cake for 4 dollars each, in which would be 4x. When you add 5x and 4x, you will get the objective function.
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