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avanturin [10]
3 years ago
6

12. The Williams family ate dinner at Olive Garden. The

Mathematics
1 answer:
tatuchka [14]3 years ago
7 0

Answer:

$89.68 was their total bill (bill + tip)

Step-by-step explanation:

Turn the percentage into a decimal:

76 x 0.18 = 13.68

13.68 is the tip of their total bill. Now, add the tip and the total bill cost together.

13.68 + 76 = $89.68

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6 more than the product of a number x and 5 is 21
fgiga [73]

Answer:

x = 3

Step-by-step explanation:

6 <em>+</em><em> </em><em>5</em><em>x</em><em> </em>= 21

<em>5</em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>5</em>

<em>x</em><em> </em><em>=</em><em> </em><em>3</em>

I hope this helps

:)

4 0
3 years ago
Please help, this will just take a minute of your time ❤︎ (literally)<br>(Discriminant Worksheet)
igomit [66]

Answer:

\large\boxed{x=-\dfrac{7-\sqrt{97}}{4}\ \vee\ x=-\dfrac{7+\sqrt{97}}{4}}

Step-by-step explanation:

ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta0,\ \text{then an equation has two solutions:}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\\text{We have:}\\\\-2x^2-7x+10=4\qquad\text{subtract 4 from both sides}\\\\-2x^2-7x+6=0

a=-2,\ b=-7,\ c=6\\\\\Delta=(-7)^2-4(-2)(6)=49+48=97>0\\\\\sqrt\Delta=\sqrt{97}\\\\x=\dfrac{-(-7)\pm\sqrt{97}}{2(-2)}=\dfrac{7\pm\sqrt{97}}{-4}=-\dfrac{7\pm\sqrt{97}}{4}

6 0
3 years ago
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE
Furkat [3]

Answer:

x = -6 and x = 4

Step-by-step explanation:

In math, the critical points of a function are the points where the derivative equals zero.

So, first we will find the derivative of the function. The derivative is:

f'(x)=3x^2 +6x-72

Now, we are going to make the derivative equal zero and find the answers of the equation.

3x^2 +6x-72=0\\3(x^2 +2x-24)=0\\3(x+6)(x-4)=0\\

So we have that the critical points are the answers to this equation:

x+6= 0 \\x= - 6

and

x-4=0\\x=4

Thus, the critical points are x=-6 and x=4

8 0
3 years ago
The place value of the 9 in 89,170,326
boyakko [2]
The place value is millions place
4 0
3 years ago
Read 2 more answers
The area of the city of Vancouver is 115 km^2. if the shape of Vancouver is approximately a square, how wide is the city of Vanc
Dmitry [639]

Answer:

The wide of the city is 10.7km

Step-by-step explanation:

To solve this we first have to know the formula to calculate the area of ​​a square

a = area = 115 km²

s = side

a = s * s

now we replace with the known values

115 km² = s * s

115 km² = s²

√(115 km²) = s

10.724km = s

Round to the nearest tenth

s = 10.724km = 10.7km

The wide of the city is 10.7km

5 0
3 years ago
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