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3 years ago

5

A box of laundry detergent is on sale for $6.50. If this price represents a 40% discount from the original price, what is the or

iginal price to the nearest cent?

1 answer:

Mademuasel [1]3 years ago

4 0

$10.83 because you need to divide 6.50 by .6 to get that answer approximately.

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What is the solution for the system of equations? Use the elimination method to solve. 2x+y=20 -5y=-6x+12

egoroff_w [7]

Given Equations :

✿ 2x + y = 20 ------------------ [1]

✿ 6x - 5y = 12 ----------------- [2]

Multiplying Equation [1] with 5, We get :

⇒ 5(2x + y) = 5(20)

⇒ 10x + 5y = 100 -------------- [3]

Adding Equations [2] and [3], We get :

⇒ (10x + 5y) + (6x - 5y) = 100 + 12

⇒ 16x = 112

⇒ x = 7

Substituting x = 7 in Equation [1], We get :

⇒ 2(7) + y = 20

⇒ 14 + y = 20

⇒ y = 20 - 14

⇒ y = 7

So, The Solution for the Given System of Equations is : (x , y) = (7 , 7)

3 0

2 years ago

Francesca is looking at an airplane. She measures the angle at which she is looking up and finds it to be 55 degrees. If the air

lions [1.4K]

<h2>Answer:</h2>

Option: B is the correct answer.

B. 36,623 feet

<h2>Step-by-step explanation:</h2>

The angle of elevation is: 55 degree

We model this problem by taking a right angled triangle such that the side opposite to the 55 degree is of length 30000 feet.

Now let us consider x denote the distance of the plane from Francesa.

i.e. x denote the hypotenuse of the right angled triangle.

Hence, in right angled triangle i.e. ΔABC we have:

$\sin 55=\dfrac{30000}{x}\\\\i.e.\\\\x=\dfrac{30000}{\sin 55}\\\\i.e.\\\\x=\dfrac{30000}{0.81915}\\\\\\i.e.\\\\\\x=36623.2376\ feet$

Round to the nearest feet we get: x=36,623 feet

6 0

3 years ago

Read 2 more answers

If ax +3=7-bx what is x expressed in terms of a and b

LenaWriter [7]

Ax + 3 = 7 - bx .....add bx to both sides
ax + bx + 3 = 7 ...subtract 3 from each side
ax + bx = 7 - 3
ax + bx = 4 ....factor out x
x(a + b) = 4 ...divide both sides by (a + b)
x = 4 / (a + b) <==

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2 years ago

Selecting a red pen and then a blue pen, when selecting 2 pens from a bag of 10 red pens

WITCHER [35]

What? That’s not possible because there’s no blue pens. If that’s the awnser?

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3 years ago

Express the product 2x²+6x-8+x+3 in standard form.

xxTIMURxx [149]

2x²+6x-8+x+3 in standard form is 2x²+7x-5.

Hope this Helps!

7 0

2 years ago