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3 years ago

Equivalent ratio

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

6 0

Answer:

D.) 1:6

E.) 8:48

Step-by-step explanation:

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The bill at a restaurant came to $136.40.The customer decided to leave a 15% tip.What was the total bill including tip.

hjlf

Answer:

$156.86

Step-by-step explanation:

To calculate tip, you need to multiply the total bill by the percent tip you are going to leave. In this case the bill is $136.40, and the customer is going to leave a 15% tip. So, you would want to move the decimal place over to the left by 1, which you should get 13.64 as your number. Then divide it in half, which should give you 6.82. Now add 13.64 and 6.82 with the original bill price. If you don't add the 13.64 you would've forgotten the 10% part of the tip. At the end you should get $156.86 as your final bill.

4 0

2 years ago

Solve each quadratic equation by completing the square. 6. x2 + 2x = 8 7. x2 - 6x = 16 8. x2 - 18x = 19 9. x2 + 3x = 3 10. x2 +

Andrei [34K]

Lets get started :)

These questions have asked us to solve by completing the square.
How do we? I have attached a picture, which will explain

6. x² + 2x = 8
→ b is the coefficient of x, which is 2
→ We take half of 2 and square it. Then, we add it to either side

x² + 2x $+ (\frac{2}{2} )^2 = 8 + ( \frac{2}{2})^2$
x² + 2x + 1 = 8 + 1
( x + 1 )( x + 1 ) = 9
( x + 1 )² = 9
$\sqrt{( x + 1 )^2} = \sqrt{9}$
x + 1 = + 3 or x + 1 = - 3
x = 2 or x = - 4

7. x² - 6x = 16

→ We do the same thing we did in the previous question

x² - 6x + $(\frac{6}{2})^2 = 16 + (\frac{6}{2})^2$
x² - 6x + 9 = 16 + 9
(x - 3)² = 25
$\sqrt{(x-3)^2} = \sqrt{25}$
x - 3 = + 5 or x - 3 = - 5
x = 8 or x = - 2

8. x² - 18x = 19

x² - 18x + $( \frac{18}{2} )^2 = 19 + ( \frac{18}{2})^2$
x² - 18x + 81 = 19 + 81
( x - 9 )( x - 9 ) = 100
( x - 9 )² = 100
$\sqrt{(x-9)^2} = \sqrt{100}$
x - 9 = + 10 or x - 9 = -10
x = 19 or x = - 1

9. x² + 3x = 3

x² + 3x + $( \frac{3}{2} )^2 = 3 + (\frac{3}{2} )$
$x^2 + 3x + \frac{9}{4} = 3 + \frac{9}{4}$
$x^{2} + 3x + \frac{9}{4} = \frac{21}{4}$
$(x^2 + \frac{3}{2} ) ( x^2 + \frac{3}{2} ) = \frac{21}{4}$
$( x^2 + \frac{3}{2} )^2 = \frac{21}{4}$
$\sqrt{ x^2 + \frac{3}{2} } = \sqrt{ \frac{21}{4} }$
x + $\frac{3}{2}$ = + $\frac{ \sqrt{21} }{2}$ or x + $\frac{3}{2} = - \frac{ \sqrt{21} }{2}$
x = $\frac{-3+ \sqrt{21} }{2}$ or x = $\frac{-3 - \sqrt{21}}{2}$

7 0

3 years ago

I need with 2n-7=5n-10 also

melomori [17]

2n - 7 = 5n -10
-5n -5n
-3n - 7= -10
+7 +7
-3n = -3
-3/-3 -3/-3
n= 1

6 0

3 years ago

An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.

Artist 52 [7]

Answer:

7.5 m

Step-by-step explanation:

circumference = 360/72 × 3π = 15π

so the radius of the circle =

15π / 2π = 7.5 m

7 0

2 years ago

The equation x + c = k has a solution of x = 2. Both cand k are rational numbers.

jeka57 [31]

Chow chill it’s fine

3 0

2 years ago

Read 2 more answers