A restaurant bill is $21. You leave a 15% tip. Which of the following represents the amount a customer pays including the tip of 15% if the bill was dollars?

a. 0.15b
b. 15b
c. b + 0.15b
d. 1.15b
e. 1.015b
f. b + 15/100b
g. b + 0.15

Answer:

P=5

Step-by-step explanation:

-6(2p + 1) = -7p - 31

Expand -6(2p+1)

Apply distributive law;

a=-6, b=2p, c=1

=-6*2p+(-6)*1

=-6*2p-6*1

Simplify; -6*2p-6*1

=-12p-6

-12p-6=-7p-31

Add 6 to both sides;

-12p-6+6=-7p-31+6

simplify;

-12p=-7p-25

Add 7p to both sides;

-12p+7p=-7p-25+7p

Simplify;

-5p=-25

Divide both sides by -5

-5p/-5=-25/-5

Simplify:

p=5

Answered by the One and Only #DrippQueenMo

Answer:

p=5

Step-by-step explanation:

first you want to get rid of the parentheses in -6(2p+1) so take -6 and times it by 2p and 1 to get -12p-6. You can do this because of the distributive property. Now you have the equation -12p - 6 = -7p - 31. So now you want to get the p values on one side. Adding 7p to both sides of the equations get rid of the -7p. -12p + 7p equals -5p so now you have the equation -5p - 6 = -31. so now you need to get the whole numbers on one side. So add 6 to both sides so you can get rid of the -6. this leaves you with the equation -5p= -25. Now to find the value of p you divide both sides by -5. This gives you p = 5.

Answer:

x = 65

Step-by-step explanation:

x + 115 = 180

x = 65

Answer:

65 degrees

Step-by-step explanation:

180-115=65 degrees

The line that 115 degrees is on is equal to 180.

Answer: (a)

Step-by-step explanation:

Given

The pattern is 2, 4, 16, 256...

From the pattern, we can see that the next term is square of the previous i.e.

[tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex][tex]\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2[/tex]

So, for the [tex]n^{th}[/tex] term, the function is [tex]f(n)[/tex]

For the next term, it is [tex]f(n+1)[/tex]

So,

[tex]\Rightarrow f(n+1)=[f(n)]^2[/tex]

Answer:

6 x 5= 30

Step-by-step explanation:

6(5)=30

Answer:

1, 2, 3, 1

Step-by-step explanation:

In a line plot, the results are lined up, in order. The number of dots above a number correlates to how many times that result, number was the result.

Just count how many times that number appears. Also see if you can simply ant fractions.

Spinner diagram isn't attached. A related spinner diagram has been attached below to provide an hypothetical solution to the problem

Answer:

4 / 15

Step-by-step explanation:

For the numbered spinner :

P(landing on 2) = required outcome / Total possible outcomes

Total possible outcomes = (1, 2, 3) = 3

Required outcome = (1) = 1

P(landing on 2) = 1 /3

Lettered spinner :

P(does not land on b)

Total possible outcomes = (A, B, C, D, E)

Required outcome = (a, c, d, e)

P(does not land on b) = 4 / 5

Hence,

P(lands on 2, does not land on b) in this scenario is :

1/3 * 4/5 = 4 / 15

Answer:

40% chance

Step-by-step explanation:

Take the number of horses total and divide the number of bay horses.

Answer:

c

Step-by-step explanation:

$0.70 is the answer........

Answer:

39 sq feet

Step-by-step explanation:

Answer:

The 90% confidence interval for the proportion of college students who drive sticks is (0.173, 0.293).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of college students who owned cars revealed the following: out of 133 cars, 31 had stick shifts.

This means that [tex]n = 133, \pi = \frac{31}{133} = 0.233[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.233 - 1.645\sqrt{\frac{0.233*0.767}{133}} = 0.173[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.233 + 1.645\sqrt{\frac{0.233*0.767}{133}} = 0.293[/tex]

The 90% confidence interval for the proportion of college students who drive sticks is (0.173, 0.293).

Answer:

t=7m

Step-by-step explanation:

In this equation, "t" represents time, and "m" represents miles. Each mile is 7 minutes. To find how much time this run will take her, multiple the amount of miles she will run by 7.

For example:

If Tinley runs 13 miles you should do-

7(13)= 91

13 miles would take Tinley 91 minutes

Answer:

180 - 35 - 74 = 71 degrees is the angle value that is right next to 35 degree angle.

35 + 71 = 106

180 - 106 = 74.

So w = 74 degrees.

Answer:

C

Step-by-step explanation:

Can I have crown

Answer:

Hours are equal: 7.2

Cost of service are equal: 51.4

Step-by-step explanation:

Happy Paws:

y = 4.5h + 19

Woof Watchers:

y = 5.75h + 10

To solve for the hours are equal:

y = 4.5h + 19

y = 5.75h + 10 (Multiply by -1)

y = 4.5h + 19

-y = -5.75h - 10

0 = -1.25h + 9

-9 = -1.25h

h = 7.2

To solve for when the services are equal:

y = 4.5h + 19

y = 4.5(7.2) + 19

y = 32.4 + 19

y = 51.4

Step-by-step explanation:

Hi,

This is an acute angle.

RST, STR, and TRS are the three different ways to represent/name this angle.

I hope this helps :)

9.5 ft

Step-by-step explanation:

trust in me pls I am serious this is the right answer

Question:

Identify the sets that contain 2 as an element. (Check all that apply.)

[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]

[tex]B.\ \{0, 1, 4, 9, ...\}[/tex]

[tex]C.\ \{2, \{2\} \}[/tex]

[tex]D.\ \{\{2\}, \{\{2\}\}\}[/tex]

[tex]E.\ \{\{2\}, \{2, \{2\}\}\}[/tex]

[tex]F.\ \{\{\{2\}\}\}[/tex]

Answer:

[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]

[tex]C.\ \{2, \{2\} \}[/tex]

Step-by-step explanation:

Required

For which of the options is 2 an element

[tex]A.\ \{2, 3, 4, 5, ...\}[/tex]

The elements of this set starts from 2, then 3 and continues as thus.

Hence: 2 is an element

[tex]B.\ \{0, 1, 4, 9, ...\}[/tex]

From the given elements in the above set, 2 is not listed.

Hence: 2 is not an element of this set

[tex]C.\ \{2, \{2\} \}[/tex]

Here, 2 is listed as an element, 2 is also listed as a subset.

Since 2 is listed as an element, then 2 is an element of the set.

[tex]D.\ \{\{2\}, \{\{2\}\}\}[/tex]

Here, 2 is listed as a subset of {2} and also as a subset of subset of {{2}}.

Since 2 is not listed as an element itself, then 2 is not an element of the set.

[tex]E.\ \{\{2\}, \{2, \{2\}\}\}[/tex]

Here, 2 is listed as a subset of {2} and also as a subset of subset of {2,{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.

Hence: 2 is not an element of the set

[tex]F.\ \{\{\{2\}\}\}[/tex]

Here, 2 is listed as a subset of subset of {{2}}. This set only contains subsets, i.e. 2 is not listed as a direct element of the set.

Hence: 2 is not an element of the set

Answer:

how

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

There a 5 chains (each with 3 links). We take one chain and cut all three links. Now we are left with only four chains. This requires only 3 joints. Exactly the number of links I have. Therefore, the lowest number of cuts is three.

The number of different links must be cut a welded should be considered as the 3.

Since

Zack has 13 chains at 5 links each. He wants to combine them

So here we considered only one chain and then cut off all 3 links

So the remaining should be four chains and it needs only 3 joints.

hence, The number of different links must be cut a welded should be considered as the 3.

Learn more about number here: https://brainly.com/question/24585170

Answer:

y = 1/2x - 4

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will  have a slope of 1/2.

Plug this value (1/2) into your standard point-slope equation of y = mx + b.

y = 1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 1/2(4) + b

To find b, multiply the slope and the input of x (4)

-2 = 2 + b

Now, subtract 2 from both sides to isolate b.

-4 = b

Plug this into your standard equation.

y = 1/2x - 4

This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)

Hope this helps!

9514 1404 393

Answer:

  y = 1/2x -4

Step-by-step explanation:

We presume the given line is ...

  y = -2x +8

This is in slope-intercept form, which allows us to determine easily that the slope of this line is -2.

A perpendicular line will have a slope that is the opposite reciprocal of -2:

  m = -1/(-2) = 1/2

The y-intercept of the desired line can be found from the point (x, y) = (4, -2) using the equation ...

  b = y - mx

  b = -2 -(1/2)(4) = -4

Now, we know the slope and y-intercept of the desired perpendicular line through (4, -2), so we can write its equation as ...

  y = 1/2x -4

__

Additional comment

"Slope-intercept form" is ...

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

The population of The Colony after 2 hours is d. 64​

The given parameters are:

Initial, a = 1

Rate, b = 2 every 20 minutes

An exponential function is represented as:

y = ab^x

So, we have:

y = 1 * 2^x

y = 2^x

There are six 20 minutes in 2 hours.

This means that:

x = 6

So, we have:

y = 2^6

Evaluate

y = 64

Hence, the population of The Colony after 2 hours is d. 64​

Read more about exponential functions at

https://brainly.com/question/2456547

#SPJ1

Answer:

2x^3

Step-by-step explanation:

The equation that represents this relationship will be y = 2u³.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The value of y varies directly as the cube of u. y = 54 when u = 3.

y ∝ u³

Removed the proportionality constant and place the equal sign with constant k.

y = ku³

Put y = 54 when u = 3, then the value of k will be

54 = k (3)³

54 = 27k

k = 2

Then the equation that represents this relationship will be

y = 2u³

The equation that represents this relationship will be y = 2u³.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

A (-12, 14)

B (8, 8)

C (-12, -4)

D (0, -14)

E (14, 0)

F (0, 0)

Answer:

A (-12,14)

B ( 8,8)

C (-12,-4)

D (0,-14)

E (14,0)

F (0,0)

Step-by-step explanation:

(X,Y)

X coordinates go before Y coordinates in a given coordinate pair hope this helps!

Answer:

I believe it should be C...............

Answer:

no, the backyard is only 150 square ft. so a pool with an area of 379.94 square ft will not fit

Step-by-step explanation:

10×15=150

Answer:

[tex] \infty \infty [/tex]