Chris and Kate’s dinner bill, including a 20% tip, is $95.40. What was the amount of the bill before the tip?

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Answer:

g(5)=6

Step-by-step explanation:

g(5)=(5)(2)-4

g(5)=10-4

g(5)=6

Answer:

Its 8

Step-by-step explanation:

Answer:

[tex]x = \frac{ - 4 \frac{ + }{} \sqrt{ - 16} }{2} \\ \\ x = \frac{ - 4}{2} \frac{ + }{} \frac{ \sqrt{ - 16} }{2} \\ \\ x = \frac{ - 4}{2} \frac{ + }{} \frac{ \sqrt{16} \sqrt{ - 1} }{2} \\ \\ x = \frac{ - 4}{2} \frac{ + }{} \frac{4i}{2} \\ \\ x = - 2 \frac{ + }{} 2i[/tex]

x = – 2 + 2i , x = – 2 – 2i

Answer:

Step-by-step explanation:

f(1)=17

f(n)=f(n-1)+8.5

n           f(n)=f(n-1)+8.5                                                                          f(n)

1             f(1)=17                                                                                       17

2           f(2)=f(1)+8.5 =17+8.5=25.5                                                    25.5

3            f(3)=f(3-1)+8.25=f(2)+8.25=25.50+8.5=34                            34

4            f(4)=f(3)+8.25 =34+8.5=42.5                                                42.5

Answer:

b>9

Step-by-step explanation:

Answer:

b > 9

Step-by-step explanation:

Inequalities represent the value of a variable in relation to other numbers.

Solving the Inequality

The properties of equality state that if you add or subtract a number from both sides, the statement remains true. This means that we can isolate the variable by using the properties of equality.

Understanding the Answer

The answer to the inequality is b > 9. This means that the variable must be greater than 9. So, values such as 10 or 100 could all be solutions. However, remember that 9 itself is not a solution. The inequality only accounts for values greater than 9, not equal to.

Answer:

2/4a-4

Step-by-step explanation:

dividing 2/4a-4 is =1/2a-4

Answer:

1) 12 cm
2) 20 cm

Step-by-step explanation:

Those are my guess but it is simple math just take the cm of the flag for the length and width and multiple the cm by the 4 to get the answer hope it helps

Answer: 5

Step-by-step explanation:

Answer: I believe the answer you're looking for is -66.

Step-by-step explanation:

(-15) / (-1.25) = 12.

12 x 4 1/2 = 54

54 - 120 = -66.

Hope this helps!

Answer:

Step-by-step explanation:

[tex]( - 15) \div ( - 1.25) \: . \: 4 \frac{1}{2} - 120 \\ = \frac{ (- 15)}{( - 1.25)} \: . \: 4 \frac{1}{2} - 120 \\ = \frac{( - 15) \times 100}{( - 1.25) \times 100} \: . \: 4 \frac{1}{2} - 120 \\ = \frac{ - 1500}{ - 125} \: . \: 4 \frac{1}{2} - 120 \\ = 12 \: . \: \frac{9}{2} - 120 \\ = 6 \: . \: 9 - 120 \\ = 54 - 120 \\ = ( - 66) \\ [/tex]

Answer:

Step-by-step explanation:

We have to convert m to km and we have to add to find the total distance walked.

1000m = 1 km

350 m = 350 ÷ 1000 = 0.35 km

Total distance = 3.15 + 0.35

                        = 3.50 km

Answer:

2

Step-by-step explanation:

Answer: B or 2

Step-by-step explanation:

Answer:

the answer to your question is 0.857

Answer:

see below

Step-by-step explanation:

given function: [tex]Cos(x)=\frac{1}{3}[/tex]

Cosine - (In a right triangle, the ratio of the length of the adjacent side to the length of the hypotenuse.)

#1: Take the inverse cosine of both sides of the equation to extract [tex]x[/tex] from inside the cosine.

[tex]x=arccos\frac{1}{3}[/tex]

#2: Evaluate

[tex]x=1.23095941[/tex]

#3: The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from [tex]2[/tex]π to find the solution in the fourth quadrant.

[tex]x=2(3.14159265)-1.23095941[/tex]

#4: Simplify the equation above.

- Multiply [tex]2[/tex] by [tex]3.14159265[/tex]

[tex]x=6.2831853-1.23095941[/tex]

- Subtract [tex]1.23095941[/tex] from [tex]6.2831853[/tex]

[tex]x=5.05222588[/tex]

#5: Find the period.

- The period of the function can be calculated using [tex]\frac{2\pi }{|b|}[/tex].

[tex]\frac{2\pi }{|b|}[/tex]

- Replace [tex]b[/tex] with [tex]1[/tex]  in the formula for period.

[tex]\frac{2\pi }{|1|}[/tex]

#6: Solve the equation.

- The absolute value is the distance between a number and zero. The distance between [tex]0[/tex] and [tex]1[/tex] is [tex]1[/tex].

[tex]\frac{2\pi }{1}[/tex]

- Divide [tex]2\pi[/tex] by [tex]1.[/tex]

[tex]2\pi[/tex]

The period of the [tex]cos(x)[/tex] function is [tex]2\pi[/tex] so values will repeat every [tex]2\pi[/tex] radians in both directions.

[tex]x=1.23095941+2\pi n,5.05222588+2\pi n[/tex], for any integer [tex]n[/tex]

Answer:

F

Step-by-step explanation:

75.00-67.50 is 7.5

8-6 is 2

7.5/2 is 3.75

Answer:

Step-by-step explanation:

2m=8

m=4

m²+1=16+1=17

m²-1=16-1=15

Therefore the Pythagorean triplets are 8,15 and 17. Here 8 is the smallest member.

Answer:  8, 15, 17

This is something you get through trial and error, or you could have memorized this particular triple.

Note how 8^2+15^2 = 17^2

Answer:

Isn't it 18?

Step-by-step explanation:

Because you need to add 4 and 2 then multiply it with 3?

Answer:

5 people

Step-by-step explanation:

1/10 meaning for every 10 people there will be 1 person with red hair.

50 people is 10×5=50

also do it to the 1: 1×5=5

then we get a ratio of 5/50

5/50 reduced is still 1/10

There are 675 different combinations.

The number of combinations is given by the product between the numbers of options.

So the total number of different combinations is just given by:

C = 15*15*3 = 675

There are 675 different combinations.

If you want to learn more about counting, you can read:

https://brainly.com/question/25870256

Answer:

My answer would be Frothy-five thousand and one hundred (45,100).

Step-by-step explanation:

Answer:

19/21 is better.

Step-by-step explanation:

To find which is better, you need to divide the numerator by the denominator.

27 divided by 32 is equal to 0.84375

19 divided by 21 is equal to 0.9

0.9 is greater than 0.84375, so 19/21 is better.

Answer:

$ 204

Step-by-step explanation:

f(x)=8(x-2)

if i did this right then you would substitute 30 in for x------------8 (30-2) - 20

next you would multiply 8 times 30 and 8 times -2 and you would get 240-16-20

then you would subtract and get....................... 204

hope this helps if not then pls know that i tried

Answer:

[tex](y+7)(y-3)[/tex]

Step-by-step explanation:

To factorize [tex]y^2+4y-21[/tex]

[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]

[tex]a \cdot c=1 \cdot -21=-21[/tex]

[tex]b=4[/tex]

Therefore, the 2 numbers that multiply together to give -21 and add together to give 4 are:  7 and -3

[tex]\implies y^2+7y-3y-21[/tex]

[tex]\implies (y^2+7y)+(-3y-21)[/tex]

Factor the parentheses:

[tex]\implies y(y+7)-3(y+7)[/tex]

Factor out the common term [tex](y+7)[/tex]:

[tex]\implies (y+7)(y-3)[/tex]

Answer:

a. = 30

c. = 29

Step-by-step explanation:

Answer:

The answer is 41,472

Step-by-step explanation:

We know, that when you find the area of a quadrilateral(4 sided figure) we multiply all of the sides together.

Answer:

m < 1 = 35

Step-by-step explanation:

this is because the lines are parallel therefore m<5=m<1

Answer:  14cm

Step-by-step explanation:

The diameter of a circle is twice the radius.

Therefore, the diameter = 2*7 cm = 14cm

Answer:

14 cm

r=7

d=2r

d=2×7

d=14

Step-by-step explanation:

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