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3 years ago

Emilia ate lunch at a restaurant. The bill came to $51. If she left a 15% tip, how much was the tip?

Mathematics

2 answers:

masya89 [10]3 years ago

7 0

Answer:

Step-by-step explanation:

Arturiano [62]3 years ago

4 0

Answer:

7.65

Step-by-step explanation:

15% of 51 is 7.65

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What is the point of symmetry for the circle (x + 2)2 + (y â 4)2 = 25?

irina [24]

It's its center:

(-2, 4)

Can't read y-4 or y+4, change the sign.

y-4 ---> SOLUTION: (-2,4)

y+4 ---> SOLUTION: (-2, -4)

3 0

3 years ago

Jennifer is shopping with her mother. They pay $2 per pound of tomatoes.

elena-14-01-66 [18.8K]

Answer:

The constant of proportionality is 2

The equation is y=2x

Step-by-step explanation:

The unit price or unit rate is $2

Let y represent the price of tomatoes, then the price of x tomatoes is

$y=2x$ dollars.

This represents a direct variation.

This equation is of the form $y=kx$ , where k=2 is the constant of proportionality.

4 0

3 years ago

The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,

tensa zangetsu [6.8K]

We have the following data set:

2,7,15,3,12,9,15,8,3,10

The range is the difference between the highest and lowest values in the set, to find the range, order the data set from least to greatest.

2,3,3,7,8,9,10,12,15,15

Then,

$\begin{gathered} \text{Range}=15-2 \\ \text{Range}=13 \end{gathered}$

Mean is represented by the following expression:

$\text{Mean}=\frac{\text{Sum of all data points}}{Number\text{ of data po}ints}$ $\text{Mean}=\frac{84}{10}=8.4$

Population variance formula looks like this:

$\begin{gathered} \sigma^2=\frac{\sum^{}_{}(x-\mu)^2}{N} \\ \text{where,} \\ \sigma^2=\text{population variance} \\ \sum ^{}_{}=addition\text{ of} \\ x=\text{each value} \\ \mu=population\text{ mean} \\ N=\text{ number of values in the population} \end{gathered}$

Then, substituting:

$\begin{gathered} \sigma^2=\frac{(2-14)^2+(3-14)^2+\cdots+(15-14)^2}{10} \\ \sigma^2=20.44 \end{gathered}$

For the standard deviation:

$\begin{gathered} s=\sqrt[]{\frac{\sum ^{}_{}(x-\mu)^2}{N}} \\ s=4.521 \end{gathered}$

5 0

1 year ago

If two angles are supplementary and one angle measures 47°, what is the measure of the other angle? 43° 133° 53° 47°

Rama09 [41]

Answer:

x = 133

Step-by-step explanation:

Supplementary angles add to 180 degrees. Call the unknown angle x

47 +x = 180

Subtract 47 from each side

47-47+x =180-47

x = 133

3 0

3 years ago

Read 2 more answers

A gym has three trainers, Aldo, Bertha, and Coco, who each have 1/3 of the new members. A person who trains with Aldo has a 60%

GarryVolchara [31]

Answer:

1/10

Step-by-step explanation:

P(a successful member

had Bertha as her trainer) = P(Bertha being you trainer) x P(being successful if

trained by Bertha)

= 1/3 x 30/100

= 30/300

= 1/10

8 0

3 years ago