Michael and his friends went to dinner. He left a $9.00 tip. When his friend asked why, he said that was 15% of the bill. How much was the bill?

Answer:

range = 6

IQR = 3.5

Step-by-step explanation:

range is greatest - least

18-12=6

IQR is the difference between quartile 3 and quartile 1

to find IQR you would want to put the numbers in order first

12, 12, 13, 13, 14, 15, 17, 18

then find the median of that set of numbers (you don't need to find the exact number just know where it is)

12, 12, 13, 13, || 14, 15, 17, 18

so the median is between 13 and 14 (where the || is)

then we find the median on both sides of the ||

find the median of 12, 12, 13, 13 and 14, 15, 17, 18

12, 12, || 13, 13  and  14, 15, || 17, 18

the medians are 12.5 and 16

subtract 12.5 from 16 to get 3.5

the IQR is 3.5

Answer:

11. x and y equal 35

12 - x = 64 and y=116

Step-by-step explanation:

For #11 they give you an angle (110) and they tell you that the two sides are congruent. If the two sides are congruent then the opposite angles are congruent. so x and the other missing angle are congruent. If a triangles sides add up to 180 we have to subtract 110 from 180 and divide that by 2

180-110=70

70/2 so x and the other missing angle equal 35

now to find y, well the angle equal to 35 and y are vertical angles so they are congruent with each other so x and y equal 35

For #12 they give you an angle (52) and tell you that two sides are congruent, meaning the opposite angles are also congruent. So for this one we do the same thing subtract 52 from 180 and divide that by 2

180-52=128

128/2=64 so y and the other missing angle in the triangle equal 64

to find x we look at y and see that they are supplementary angles so they will add up to 180 so to find x we subtract 64 from 180

180-64=116

so x = 64 and y=116

have a great day :D

Answer:

X And Y Equal To 110

Step-by-step explanation:

Hope It Helps U

Answer:

so the answers are £4, £8 ,£12

Answer:

4 boxes bc they're 12 in a dozen

Answer: 4 boxes

Step-by-step explanation: A dozen = 12

48 / 12 = 4

Answer:

5×6+4/6×5×4+3/5

34/6×23/5

it's 391/15

Given:

The function is

[tex]f(x)=-3x^2+2x-7[/tex]

To find:

The value of f(-1).

Solution:

We have,

[tex]f(x)=-3x^2+2x-7[/tex]

Putting x=-1, we get

[tex]f(-1)=-3(-1)^2+2(-1)-7[/tex]

[tex]f(-1)=-3(1)-2-7[/tex]

[tex]f(-1)=-3-9[/tex]

[tex]f(-1)=-12[/tex]

Therefore, the value of f(-1) is -12.

The graph formed by equation y= -2/3x+10 will be perpendicular to the graph by equation y=3/2x-10.

A line in the form of ax + by + d = 0 will be a linear equation and if we convert it into the form of y = mx + c where m will be the slope of that equation.

If two lines are perpendicular to each other then the product of their slope of them will be (-1).

⇒  m₁ ₓ m₂ = -1

The slope of line 2x + 3y = 10 will be -2/3

To be any line perpendicular whose slope m with the 2x + 3y = 10

⇒ -2/3 × m = -1

⇒   m = 3/2 so the slope of that line should be 3/2

Hence, line y=3/2x-10 will be perpendicular to the 2x + 3y = 10.

For further information about slope of line

https://brainly.com/question/14511992

#SPJ5

Answer:

365.6

Step-by-step explanation:

Number of radios = 2

Cost of each radio = 59.99

Cost of 2 radios = [tex]2(59.99)=119.98[/tex]

Number of protectors = 2

Cost of each protector = 19.99

Cost of 2 protectors = [tex]2(19.99)=39.98[/tex]

Cost of a wireless printer = 79.98

Number of ink carts = 3

Cost of each ink cart = 34.99

Cost of 3 ink carts = [tex]34.99(3)=104.97[/tex]

Total cost (excluding sales tax) = [tex]119.98+39.98+79.98+104.97=344.91[/tex]

Sales tax = [tex]\frac{6}{100}(344.91)=20.69[/tex]

So,

Total cost (including sales tax) = 344.91 + 20.69 = 365.6

Answer:

21

Step-by-step explanation:

We are to divide the expression

15÷5/7

We can change the sign to a product sign and multiply 15 by reciprocal of 5/7

Reciprocal of 5/7 = 7/5

Multiply with 15

= 15 × 7/5

= 15/5 × 7

= 3 × 7

= 21

Hence the resulting value of the expression is 21

Answer:

-14

Step-by-step explanation:

(-5)+(-2)-8-(-1)

-5-2-8+1

-7-8+1

-15+1

-14

Answer:

-14

Step-by-step explanation:

(-5)+(-2) - (+8) - (-1)

-5-2-8+1

-15+1

-14

Answer:

30???????????

Step-by-step explanation:

Answer:

156 square feet

Step-by-step explanation:

The area of Brian's rectangular garden, in square feet, can be found by using the expression 6(2x + 5y).

If x = 3 and y = 4

Substituting

6(2 × 3 + 5 ×4) square feet

6(6 + 20) square feet

Using Distributive property

6(6 + 20) square feet =( 6 × 6) + (6 × 20) square feet

6(6 + 20) square feet =(36+ 120) square feet

6(6 + 20) square feet = 156 square feet

Therefore, the area of Brian's rectangular garden, in square feet is 156 square feet

Answer:

The answer is 3a-27

You just gotta combine like terms (hope this helps)

Answer:3a-27.

hope it helps.

Answer:

13/30

Step-by-step explanation:

There are seventeen red and thirteen green apples in a bag. I am going to take out an apple without looking. What is the probability that the apple will be green?

The Probability that the apple that will be picked is green is calculated as:

Number of green apples/ Total number of apples

Total number of apples = 17 red apples + 13 green apples

= 30 apples

Hence:

P( Green apples) = 13/30

Answer:

5 acres per section

Step-by-step explanation:

Answer:

I believe substitution not 100% though

Step-by-step explanation:

you sub in the 12 for the 8 the 8 for the 5 and the 5 for the 12 hope it is right

Answer: associative property

Step-by-step explanation:

In the equation the parentheses are rearranged which is the associative property.

Answer:6

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Answer: 31

Step-by-step explanation: How I did it was I first did the addition in the parenthesis (5+11), which equals 16 then one half of that is 8 because you multiply it by one half after. Then 8+23 is 31 Voila

Answer:

x>5

Step-by-step explanation:

The dotted line means it does not include 5, and the colored in area means that's what it includes. So I'm pretty sure it's what I wrote ^^ but if not it's x<5.

Hope this helps!

Can I be marked brainliest?

:)

Answer: y = 2/1x + 2

Step-by-step explanation:

A slope of 2 means rising 2 and run 1 on a graph. This would make x = 2/1. The + 2 allows the line to pass through (0,2) and therefore it will also pass through (-2,-2).

Complete Question:

ABCD Is a rectangle that represents a park.

The lines show all the paths in the park.

The circular path is in the centre of the rectangle and has a diameter of 15m.

Calculate the shortest distance from A to C across the park,using only the lines shown.

*See attachment for the diagram showing the paths in the park.

Answer:

Shortest distance from A to C through the paths only = 102.9 m

Step-by-step explanation:

Length of park = 80 m

Width of park = 50 m

Diameter of the circular path in the center of the park = 15 m

Therefore:

Shortest distance between from A to C across the park if we're to follow only the lines showing the oaths would be = (length of diagonal AC - diameter of the circular path) + (½ of the circumference of the circular path)

✔️Use pythagorean theorem to find AC:

AC = √(80² + 50²) =  √8,900

AC = 94.3398113 ≈ 94.34 m (nearest hundredth)

✔️Diameter of circular path = 15 m

✔️½ of the circumference of the circular path = ½(πd)

d = 15 m

½ of the circumference = ½(π*15) = 23.5619449 ≈ 23.56 m (nearest hundredth)

✔️Shortest distance = (94.34 - 15) + 23.56 = 79.34 + 23.56 = 102.9 m

Answer:

Step-by-step explanation:

Answer:

$93.10

Step-by-step explanation:

First, you add the dollars 51 + 42 which equals 93

then, you add the cents 10 + 10 which equals 20

So the answer is $93.20

the lady paid $93.20 dollars for those plants

Cya friend o((>ω< ))o

The Cost of rose is $7.1 and cost of lilies is $5.2.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

let the Cost of roses be $x and Cost of lilies be $y.

So, the system of equation is

3x + 5y= 51.10

4x + 3y = 42.10

Solving the above equation we get

12x + 20y = 204.4

12x + 9y = 126. 3

_____________

          11y = 78.1

y= 7.1

and, 3x + 5(7.1) = 51.1

3x = 15.6

x= 5.2

Learn more about Equation here:

https://brainly.com/question/29657992

#SPJ2

Answer:

Can you write more specifically the question please

Step-by-step explanation:

Answer:

T = 12

Step-by-step explanation:

12/6=2