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3 years ago

7

Joe is a waiter at a local pizza parlor. He usually gets a tip from the table he waits on. The bill for one table comes to $34.

Write a formula that will help Joe determine how much a tip he'll receive from that table.

1 answer:

Aneli [31]3 years ago

3 0

38 divided by x% equals=

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The movie theater has 250 seats, 225 seats were sold for the movie. What percent of the seats were not sold?

Igoryamba

Answer:

D. 10%

Step-by-step explanation:

First divide 250 by 10 to get how many seats are in 10%.

250/10 = 25

Then, divide 225 by 25 to see what percent was taken up.

225/25 = 9

9 x 10 = 90

100 = 90 = 10

Therefore, 10% of the seats were not sold.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

The radius of a circle is 2 centimeters. What is the circles circumference?

Salsk061 [2.6K]

Answer: 4π cm or 12.56 cm

Step-by-step explanation: To find the circumference of this circle, start with the formula for the circumference of a circle which is C = 2πr.

Since the radius is 2 centimeters, we can

plug in 2 centimeters for <em>r</em> in the formula.

So we have (2)(π)(2 cm) which is equal to 4π cm.

So the circumference of this circle is 4π cm.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.

So we have (4)(3.14) which is equal to 12.56.

So the circumference of the circle is

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3 years ago

The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 20 pounds. Above 20 poun

rusak2 [61]

Answer:

$k=6$

Step-by-step explanation:

We have been given that the Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 20 pounds. Above 20 pounds, the Candy Factory charges $1.30 per pound for the entire quantity, plus a quantity surcharge k.

$\left \{ {{p(x)=1.6x, \text{ If }x\leq 20} \atop {p(x)=1.30x+x,\text{ if }x>20}} \right.$

For the price function be to continuous at $x=20$ , the value of both functions at $x=20$ must be equal. Because a function is continuous if the right hand limit is equal to left hand limit.

$1.6(20)=1.3(20)+k$

Let us solve for k.

$32=26+k$

$32-26=26-26+k\\\\6=k$

Therefore, the price function p is continuous at $x=20$ , when k is equal to 6.

5 0

3 years ago

Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes

Ivan

Answer:

14.86 knots.

Step-by-step explanation:

<em>Given that:</em>

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2 $\times$ 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 $\times$ 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled $\triangle AOB$ .

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units$

so, the total distance between the two boats is 74.28 units.

Change in distance per hour = $\dfrac{Total\ distance}{Total\ time}$

$\Rightarrow \dfrac{74.28}{5} = 14.86\ knots$

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3 years ago