Mr. Ingram's lunch at a restaurant costs $13.00, without tax. He leaves the
waiter a tip of 17% of the cost of lunch, without tax. What is the total cost
of the lunch, including the tip, without tax?
$2.21
$10.79
$13.17
$15.21

Answer:

x = 5

Step-by-step explanation:

Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.

6x - 5 = 5x (Given)

-5 = -x (Subtract 6x on both sides)

5 = x (Divide -1 on both sides)

Therefore, x = 5.

Answer:

x = 5

Step-by-step explanation:

Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.

Therefore, triangle GJH is an equilateral triangle.

Measures of all sides of an equilateral triangle are equal.

So,

6x - 5 = 5x

6x - 5x = 5

x = 5

9514 1404 393

Answer:

  7.  obtuse

  8.  right

  9.  acute

Step-by-step explanation:

You can look at the difference ...

  a^2 + b^2 -c^2

where c is the longest side. You can classify the triangle based on the result:

  > 0 -- acute

  = 0 -- right

  < 0 -- obtuse

__

7. 7^2 +9^2 -15^2 = 49 +81 -225 = -95  ⇒  obtuse

8. 3^2 +4^2 -5^2 = 9 +16 -25 = 0  ⇒  right

9. 4^2 +5^2 -6^2 = 16 +25 -36 = 5  ⇒  acute

_____

There are several triangle solver apps and web sites available. Your graphing calculator may also solve triangles for you.

Answer:

Step-by-step explanation:

x + 25 + 4x + 10 = 180

5x + 35 = 180

5x = 145

x = 29

<1 = 29 + 25 = 54

<2= 4(29) + 10 = 116 + 10 = 126

Answer:

a) [tex]( -[/tex]∞[tex], -\frac{4}{3}[/tex][tex])[/tex] ∪ [tex](-\frac{4}{3}[/tex] , ∞[tex])[/tex]

b) [tex][-\frac{5}{2} ,[/tex] ∞)

Step-by-step explanation:

The domain of a function is known as the input. We need to find whatever set of numbers can be plugged into every x of a function so that the result is a real number.

a) This problem is a fraction alone, so we need to find out what input of x will make the denominator zero - that will be the number we "skip" when writing out the domain. This is because if the denominator were zero, then it would be 1 divided by 0, which would be undefined and therefore not a real number.

To find this number, we can just take the denominator and solve for x:

[tex]3x + 4 = 0[/tex]

[tex]3x = -4\\x = -\frac{4}{3}[/tex]

Therefore [tex](-[/tex]∞, [tex]-\frac{4}{3}[/tex]) ∪ [tex](-\frac{4}{3},[/tex] ∞[tex])[/tex] is our answer.

b) This problem is just a square root alone, so we need to find out what input of x will make the number inside the square root negative - that number, and the numbers less than it, will be the numbers that we "skip." This is because if the number inside the square root was negative, then it would produce an imaginary answer and not a real one.

A simple trick to find the domain would be to set the terms inside the square root greater than or equal to 0 then solve for x:

[tex]2x + 5\geq 0 \\2x \geq -5\\\\x \geq \frac{-5}{2}[/tex]

Thus, the domain would be any number greater than or equal to [tex]-\frac{5}{2}[/tex], which in interval notation would be written [tex][-\frac{5}{2} ,[/tex] ∞).

Answer:

0.4t

Step-by-step explanation:

1.4t-t=0.4t

Hope this helps :)

Answer:

0.4t

Step-by-step explanation:

0.8t + 0.6t = 1.4t

1.4t-1t=0.4t

Answer:

it is -21

Step-by-step explanation:

make it braintliest please

Answer:

Step-by-step explanation:

Answer:

30 are girls, and 20 are boys because every 3 out of five students are girls, and every 2 out of 5 students are boys.

Answer:

Step-by-step explanation:

30 girls, 20 boys. So easy!!!

Answer: 37.5 in

Step-by-step explanation:

Answer:

(a) The sum of the previous term and 9

(b) 36, 45, 54

Step-by-step explanation:

Given

Sequence: Arithmetic Progression

[tex]0,9,18,27[/tex]

Solving (a): Describe the relationship in each term

First, we calculate the common difference (d)

In arithmetic progression:

[tex]d = T_n - T_{n-1}[/tex]

Take n as 2

[tex]d = T_2 - T_{2-1}[/tex]

[tex]d = T_2 - T_{1}[/tex]

Where

[tex]T_2 = 9\ and\ T_1 = 0[/tex]

[tex]d =9-0[/tex]

[tex]d =9[/tex]

The relationship is: The sum of the previous term and 9

Solving (b): The next three terms

As said in (a) each term is derived from a sum of 9 and the previous term

So, we have:

[tex]Next\ Term = 27 + 9 = 36[/tex]

[tex]Next = 36 + 9 = 45[/tex]

[tex]Next = 45 + 9 = 54[/tex]

Hence, the next three terms are: 36, 45 and 54

Answer:

104?

Step-by-step explanation:

52*4 = 208 ÷ 2 = 104

Answer:

she would be 9

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Answer:

z= -30!!

Step-by-step explanation:

z - 8 = -38

  +8     +8

   z = -30

Answer:

-4

Step-by-step explanation:

7-4=3

3-4=-1

-1-4=-5

Answer:

0.1 in per year ; 142 in

Step-by-step explanation:

Giveb that :

Diameter of tree in 1965 = 135 inches

Diameter of tree in 2005 = 139 inches

Average rate of change:

Change in diameter / change in time

(139 - 135) / (2005 - 1965)

4 / 40

= 0.1 in per year

Predict diameter in 2035;

Initial diameter + (average rate of change * (Number of years from initial)).

135 in + (0. 1 * (2035 - 1965))

135 in + (0.1 * 70)

135 in + 7 in

= 142 in

[tex]\sqrt[9]({5x^{4}y^{3}) 2[/tex]

Answer:

1

Step-by-step explanation:

The slope of the line is 1. To find slope use the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], this calculates the change in y over the change in x. So plug in the known values [tex]\frac{0+3}{3-0}[/tex], this equals 3/3 or 1. This means every time y increases by 1, x will also increase by 1.

Answer:

Answer is .............3.

Answer:

It's 3

So whenever u see a power outside the bracket u times it with the inner brackets

In the final answer a is with the power of 8 because 2 times 4 is 8

U do the opposite to find the power of b u divide 12 with 4 which will be 3 ☺️

Answer:

can someone give us the answer if its independent or dependent

Step-by-step explanation:

Answer:

6:25:4

Step-by-step explanation:

12 ml of orange juice:50ml coconut milk: 8 ml orange juice

its all divisible by 2

so it would be 6:25:4

please mark as brainliest!!

Answer:

The answer is two places to the right. For every 0 you move the decimal one place. And since the 100 is positive you move the decimal to the right.

Step-by-step explanation:

Answer:

Two places to the right

Step-by-step explanation:

Thus, 6.8×100=680

Answer:

Step-by-step explanation:

Answer:

44.4

Step-by-step explanation:

I got it correct on my test

Answer:

11x+42

Steps:

42+6x+5x

42+11x

Answer:

B. 6 sides

Step-by-step explanation:

Interior angles of a n side Regular Polygon = (180n – 360) / n

120 = (180n – 360) / n

120n =180n - 360

180n - 120n = 360

60n = 360

n = 6

check: sum of interior angles of 6 side polygon: 180 * (6-2) = 720

720/6 = 120

Answer:

0.19 50% 15/20 9/10 95%

Step-by-step explanation:

I know