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3 years ago

Alice bought a book for $12. This is 80% of the original price. What was the original

Mathematics

1 answer:

devlian [24]3 years ago

3 0

Answer: $2.40 and he saved $9.60 follows: $12 x . 80 = $9.60 savings

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Which equation represents the circle described?

faust18 [17]

ANSWER

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

EXPLANATION

The equation of the circle with radius r and centre (a,b) is given by

$(x - a)^{2} + {(x - b)}^{2} = {r}^{2}$

The radius is

$r = 2$

We need to determine the center of the circle from the given equation of another circle, which is,

${x}^{2} + {y}^{2} - 8x - 6y + 24 = 0$

We complete the square to obtain,

${x}^{2} - 8x+ {y}^{2} - 6y + 24 = 0$

${x}^{2} - 8x+ {y}^{2} - 6y = - 24$
${x}^{2} - 8x+ {( - 4)}^{2} + {y}^{2} - 6y + {( - 3)}^{2} = - 24 + {( - 3)}^{2} + {( - 4)}^{2}$

${(x - 4)}^{2} + {(y - 3)}^{2} = - 24 + 9+ 16$

${(x - 4)}^{2} + {(y - 3)}^{2} = 1$

The centre of this circle is (4,3)

Hence the center of the circle whose equation we want to find is also (4,3).

With this center and radius 2, the required equation is,

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

Therefore the correct answer is C.

3 0

3 years ago

Read 2 more answers

Help please !!!!!!!!!!!!

e-lub [12.9K]

Is this from k12? i am a k12 student, and the answer should be 2.2 units but I could be wrong.

7 0

2 years ago

Simplity:<br> 17 (-12 + 3)

Schach [20]

Answer:

$\Huge\boxed{\mathsf{-153}}}$

Step-by-step explanation:

$\Large\boxed{\mathsf{LESSON: ORDER \quad OF \quad OPERATIONS}}}$

$\Large\boxed{\mathsf{SUBJECT: MATH}}}$

To use the order of operations stands for (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) from left to right.

First, do parenthesis.

17(-12+3)

(-12+3)=-9

17(-9)

Then, multiply.

17*9=153

17(-9)=-153

-153

$\Large\boxed{\mathsf{\Rightarrow -153}}$

The correct answer is -153.

3 0

3 years ago

Emma took a taxi from the airport to her house.

Natali5045456 [20]

Hi there! The answer is 10 miles.

Let the distance be represented by b.
The cost if the ride will therefore be
$5 + ( $3.70 × d )

We end up with the following equation
$5 + 3.7d = 42$

Subtract 5 from both sides.
$3.7d = 37$

Divide both sides by 10.
$d = \frac{37}{3.7} = 10$

Therefore, Emma had a taxi ride of 10 miles.

8 0

2 years ago

Read 2 more answers

Use long division to find the quotient below.

lawyer [7]

The answer is c I might be wrong

7 0

2 years ago

Read 2 more answers