Your restaurant bill is $72.35. How much moneywill you leave for a 20% tip?a.$1.45b.$14.30c.$14.47d.$14.70

Answer:

True

Step-by-step explanation:

Cross multiply the numbers to see their value. Cross multiplying is when you write the fractions up and down then multiply across putting the number you get by the numerator and which ever numbers bigger is the larger fraction

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:

C. 1/4

hopes this helped

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{-8}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{(-1)}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{(-8)}}} \implies \cfrac{3 +1}{8 +8} \implies \cfrac{ 4 }{ 16 } \implies \cfrac{1 }{ 4 }\)

Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.

An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.

In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.

Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

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Answer:

B is answer

Step-by-step explanation:

If the dairy farmer wants to mix a 80% protein. The amount of pounds of each that he should use is 80% 280 pounds and 55% 1120 pounds.

Protein I 80% = x pounds

Protein II 55% = 1400 - x pounds

Mixture 60% = 1400

Hence,

80% x + 55% ( 1400 - x ) = 60% × 1400

80 x + 55 ( 1400 - x ) = 84000

80 x + 77000 - 55 x = 84000

Combine like terms

80 x - 55 x = 84000 - -77000

25 x = 7000

Divide both side by 25x

x= 7000/25

x =280 pounds ( Protein I)

Protein II

1400 - x pounds

1400 -280

=  1120 pounds

Therefore the farmer should use 280 pounds and 1120 pounds.

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Answer:

-10

Step-by-step explanation:

See image below:)

Answer:

x = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-4/5x = 8

Step 2: Solve for x

Answer:

E. ⁴/3

Step-by-step explanation:

Reference angle = x

Hypotenuse = 5

Opposite = 4

Adjacent = 3

Recall: TOA.

Tan x = Opp/Adj

Thus:

Tan x = 4/3

Answer:

4/3

Step-by-step explanation:

The rug will have dimension of 8ft. wide and 22ft. long.

Dimensions of room :

Wide (w) = 18 ft.

Long (l) =  32 ft.

Area of the room = l × w

                            = 32 × 18 = 576 ft²

Cynthia wants to leave a uniform strip of floor around the rug.

Let the width of the rug = x ft.

Then the dimensions of the rug will be = (18- 2x)ft. × (32- 2x)ft.

Area of the rug = (18 - 2x) × (32 - 2x) ft²

176 = (18 - 2x) × (32 - 2x)

176 = 576 - 36x - 64x + 4x²

  4x² - 100x + 400 = 0    ( Divide the equation by 4 )

      x² - 25x + 100 = 0  

x² - 20x - 5x + 100 = 0

x(x - 20)  -5(x - 20) = 0

       (x - 20) (x - 5) = 0

            x = 20, 5

If we take 20 as x then it will become a negative number when we will substract it from dimensions of the rug.

Therefore, The width of the rug  will be 5 ft.

Thus, The Dimension of the rug = (18- 2x)ft. × (32- 2x)ft.

                                                   = (18 - 10) × (32 - 10)

                                                   = 8ft. × 22ft.

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The unknown angle measures are 51.5° and 51.5° respectively.

What is an isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides.

Given, side DE = side EF

Then, ∠D = ∠F

So, the sum of all angles of the triangle = 180°

or, ∠D + ∠E + ∠F = 180°

or, ∠F + 77° + ∠F = 180°

or, 2∠F = 180° - 77°

or, ∠F = 103/2 = 51.5°

And, ∠D = 51.5°

Hence, the unknown angle measures are 51.5° and 51.5° respectively.

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Answer:

Step-by-step explanation:

3 hours for studying x subjects:

Answer:

629 : 111

Step-by-step explanation:

17 + 3 = 20

20 goes into 740 exactly 37 times.

So what you are looking for is:

17 x 37 : 3 x 37

Which  makes your answer:

629 : 111

let me know if this helps!!

Answer: Step-by-step explanation:

To find the average rate of change of a function over an interval, we can use the following formula:

average rate of change = (y2 - y1)/(x2 - x1)

Where x1 and x2 are the values of x at the beginning and end of the interval, and y1 and y2 are the corresponding values of the function at those points.

In this case, we are asked to compare the average rate of change of the functions g(x) and f(x) over the interval where -1≤x≤3.

For the function g(x) = x²+6x, we can plug in the given values for x1, x2, y1, and y2 to find the average rate of change:

average rate of change = (g(3) - g(-1))/(3 - (-1))

= (9 + 18 - (1 - 6))/(4)

= 27/4

= 6.75

For the function f(x) = 2, we can plug in the given values for x1, x2, y1, and y2 to find the average rate of change:

average rate of change = (f(3) - f(-1))/(3 - (-1))

= (2 - 2)/(4)

= 0

Since the average rate of change of the function g(x) is greater than the average rate of change of the function f(x), the function g(x) has a greater average rate of change over the interval where -1≤x≤3.

I hope this helps clarify the comparison of the average rate of change for these two functions. Do you have any other questions?

Answer:

.5 of a minute

Step-by-step explanation:

Answer: Let's plug in each value for n and compare the results:

a. n = 2

2 x 4/5 = 8/5 which is greater than 4/5.

b. n = 7/6

7/6 x 4/5 = 28/30 which simplifies to 14/15 which is greater than 4/5.

c. n = 5/8

5/8 x 4/5 = 20/40 which simplifies to 1/2 which is less than 4/5.

d. n = 5/4

5/4 x 4/5 = 20/20 which simplifies to 1 which is greater than 4/5.

e. n = 6/6

6/6 x 4/5 = 24/30 which simplifies to 4/5.

Therefore, the answer is (c) 5/8, which shows that Leo is incorrect. In this case, the product is less than 4/5.

Answer:

The first quartile is 99.5

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

( J , Q, K 4 each)

so prob that for 2 cards, both cards are face

= C(12,2)/C(52,2) = 66/1326 = 11/221

Answer:

48

Step-by-step explanation:

im not very sure but double check

Answer:

its 13.33

Step-by-step explanation:

i know i already commented but i wanted to show how i got it so you can kind of get it

8/60 = .133333333

.133333333 x 100 = 13.33333 (rounded = 13.33)

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The given equation is :

here, 5x is on both sides, so they cancel out. hence value of x can't be determined.

so, the equation have no solution.

correct choice is B.) no solution

5x -2 = -2 + 5x

Add 2 to both sides to get 5x = 5x

Because this is true then any value of x will still make the equation true.

This means there are infinite solutions.

Answer: a) infinite solution

Answer:

4 × 10^4

→ 4× 10000

→ 40000

Correct option → 40000

hope it helped :)

-20,-15,-10,0,10

Add all these up and divide by 5 and you get -10

The functions f(x)=8x^2+x+3, g(x)=4x-1, h(x)=3x+6 C.Over the interval [0, 2], the average rate of change of f and h is less than the average rate of change of g is true.

What is increasing function?

⇒ The function is said to be increasing if the y value increases as the x value increase over a given range

What is average rate of change?

⇒An average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another

As x approaches infinity the value of f(x) eventually exceeds the value of both g(x) and h(x)

And it is true for the interval [0,2]

The faster the growth rate higher the average rate of change

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Answer:

C.

Over the interval [0, 2], the average rate of change of f and h is less than the average rate of change of g.

Answer:

approx 58 yard we can determine it by pithagoras theorem

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

Yes

Step-by-step explanation:

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Answer:34.5

Step-by-step explanation:

5.25 x 6 + 3.

You multiple 5.25 however many hours it says and then you have the 3$ for the fee.