MATHEMATICS HIGH SCHOOL

You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?. a. using a paid membership card to buy it at a 10 percent discount. b. buying it online at a 10 percent discount with a $5 shipping charge. c. buying it at a 10 percent discount without sales tax.

Answers

Answer 1

Answer:

Answer

c. buying it at a 10 percent discount without sales tax.

Explanation

We are going to compare the 3 choices and then determine the most cost effective.

a. using a paid membership card to buy it at a 10 percent discount.

10% of $100 = 10/100×100 = $10

cost = $100 - $10 = $90

On top of this $90 there is the charges of the membership card.

b. buying it online at a 10 percent discount with a $5 shipping charge.

100%-10% = 90%

90% of 100 = $90

Cost: $90 + $5 = $95

c. buying it at a 10 percent discount without sales tax.

100% - 10% = 90%

90/100 × 100 = $90. This is the must cost effective method since there is no other cost involved.

Answer 2

Answer: the one that is the most cost-effective choice for buying the item would be : C. buying it a percent discount without sales tax

With this option, you can get a clear $ 10 cut which is higher compared to the other options

hope this helps

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1. f(x) = x + 5, f(x) = 9

Answers

Answer:The answer is x =4

Step-by-step explanation:

What is the answer for 4⁴÷4³=

Answers

Answer:

Step-by-step explanation:

4^4 = 256

4^3 = 64

256/64

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

Least value of expression x^2+4y^2+3z^2-4x-20y-12z+45 is.?

Answers

Hello,

4 is the least value.

Indeed:
x²-4x+4=(x-2)²
4y²-20y+25=(2y-5)²
3(z²-4z+4)=3(z-2)²

x²+4y²+3z²-4x-20y-12z+45= (x-2)²+(2y-5)²+3(z-2)²+45-4-25-12
=(x-2)²+(2y-5)²+3(z-2)²+4

Minimum is 4 when x=2,y=5/2 and z=2 for square is always positive.

PLEASE HELP ME-Name the angles and sides of each pair of triangles that are congruent.

Answers

Answer:

Step-by-step explanation:

1) GH ≅ GH

HF ≅HL

GF ≅ GL

∠FGH =∠LGH

∠GHF = ∠GHL

∠GFH = ∠GLH

3) WX ≅ DC

XY ≅ CY

WY ≅ DY

∠WXY ≅∠DCY

∠XYW≅ ∠CYD

∠XWY ≅∠CDY

Aubree is making pizzas for a pizza party. Each pizza requires 2/3 pound of cheese. How many pounds of cheese does she need to make 16 pizzas? Express your answer in simplest form.

Answers

Aubree need the amount of cheese for 16 pizzas would be 10.6 pounds

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The given parameters are;

Pizza = 16

Proportion of cheese = 2/3

The amount of cheese is the proportion of cheese needed for the flower can be calculated as;

Cheese = Proportion x Pizza

So, we have:

Cheese = 2/3 x 16

Evaluate the product;

Cheese = 32/3

Cheese = 10.6

Hence, 10.6 pounds of cheese is needed for 16 pizzas.