Katherine is a waitress at a restaurant. Each day she works, Katherine will make a
guaranteed wage of $20, however the additional amount that Katherine earns from
tips depends on the number of tables she waits on that day. From past experience,
Katherine noticed that she will get about $7 in tips for each table she waits on. How
much would Katherine expect to earn in a day on which she waits on 11 tables? How
much would Katherine expect to make in a day when waiting on t tables?
Earnings for 11 tables:
Earnings for t tables:





What is the earings for t tables?

Answer:

-35

Step-by-step explanation:

5(4)(-5) + -2(4)(-5) + (-5)²

= -100 + 40 + 25

= -35

Answer: -35

Step-by-step explanation:

5(4)(-5)+(-2)(4)(-5)+(-5)^2

-100+40+25

-35

Answer:

8 gray kittens

Step-by-step explanation:

There are double the amount of grey kittens compared to white kittens so, you would do 4 × 2 which is 8. There are 8 grey kittens.

Hope this helps!

Answer:

0.9r

Step-by-step explanation:

Given,

Speed = 500 miles per hour

Time = r hours

Distance = 450 m

So,

Time = Distance/Speed

r = 450/500

r = 9/10

9/10 × r = Time

0.9r = Time

Number of hours required to cover 450miles is (9/10)hours.

" Speed is defined as the rate at which total distance covered by an object."

Formula used

Speed = (Total distance covered) / (time taken)

According to the question,

Given,

Speed = 500miles per hour

Time taken = 'r' hours

Distance travelled= 450miles

Substitute the value in the formula we get,

  500 = 450 / r

⇒ r = (450 / 500)

⇒ r = (9 /10) hours

Hence, number of hours required to cover 450miles is (9/10)hours.

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Tim covered 21.333 kilometers

Kilometers, km covered is distance, d

d = speed / time

d = 80 / 3 hours 45 mins

Converting 45 mins to hours we have

1 hour = 60 minutes

? Hours = 45 minutes

? = 45 / 60 = 0.75

So time is 3.75 hours

d = 80 / 3.75

= 64 / 3

= 21.333km

hope it helps

Answer:

300 km

Step-by-step explanation:

Tim drives 80 km in 1 hour or 60 minutes

Tim drives in 1 minute = 80/60 km

so, tim drives in 3 hours 45 minutes ( 225 minutes)

\( \frac{80 \times 225}{60} \)

= 300 km

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(rain) = p(R) = 30% = 0.3

P(being late Given that it rains) = P(late | rain) = p(L|R) = 0.4

P(being late Given no rain) = P(late | no rain) = 0.15

(a) What is the probability that it will rain and the bus will be late? = P(RAINnLate) = P(RnL)

P(RnL) = p(R) * p(L|R)

P(RnL) = 0.3 * 0.4

= 0.12

(b) What is the probability that the bus will be late?

P(L) = p(R) * p(L|R) + p(no rain) * p(late | no rain)

P(L) = (0.3 * 0.4) + (1 - 0.3)*(0.15)

P(L) = 0.12 + 0.105

P(L) = 0.225

(c) Given that the bus ran late, what was the probability that it was not raining?

Given that bus ran late, the probability that it was not raining = p(no rain | Late)

p(no rain | Late) = 1 - p(R | L)

Recall :

P(RnL) = p(L) * p(R|L)

0.12 = 0.225 * p(R|L)

p(R|L) = 0.12 / 0.225

p(R|L) = 0.5333

p(no rain | Late) = 1 - 0.533

= 0.46666

= 0.467

Answer: C. Inside the school cafeteria.

Step-by-step explanation:

Answer:

I think (2x−3)(3x+5)

i believe your answers would be

1/2c+7 and 2H-9

For the statement "If a polygon lacks right angles, then it is a parallelogram.", the counter example is -

Option A : a right triangle

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

A counterexample for a conditional statement is an example that satisfies the hypothesis (the first part of the statement) but does not satisfy the conclusion (the second part of the statement).

In this case, the statement is "If a polygon lacks right angles, then it is a parallelogram."

A right triangle is a polygon that lacks right angles, but it is not a parallelogram.

Therefore, a right triangle is a counterexample for this statement.

A square, a regular hexagon, and a rectangle all have right angles, so they are not counterexamples for this statement.

Therefore, the triangle is the counterexample.

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Answer:

D

Step-by-step explanation:

jtrsytexjgfcgvhjbkjnhgfdsasdfghjhgrertyu

Answer:

Correct answer is D

Step-by-step explanation:

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

705.81 and 705.810

Step-by-step explanation:

700 + 5 + 0.8 + 0.01 = 705.81

Answers:

705.810

705.81

Answer:

1st answer is correct y=(1/2)x+2

Step-by-step explanation:

The statement that correctly compares -9 and 2 is A. -9 < 2 because 9 is to the left of 2 on a number line.

In arithmetic, a number line is a depiction of a graduated straight line which functions as a graphic representation of real numbers. It is presumed that every number line point and every real number correspond to one another.

Horizontal straight lines termed number lines have integers along them spaced equally apart. All of the numbers in a series can be shown on a number line. This line extends indefinitely at both ends.

In this case, -9 is on the left of a number line since it's negative. In conclusion, the correct option is A

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Q 1.

Total Candles to Pack = 142

Already Packed = 3 box with 8 candles in each, that is 3 * 8 = 24 candles

From 142, 24 has already been packed. So, the remaining candles for packing is:

142 - 24 = 118 candles

Answer: 118 candles

The smaller triangle has its hypotenuse as 4 units and the base as 6 units

The bigger triangle has its hypotenuse as 10 units, the height as 5.8 units and the other hypotenuse as 9 units

Using similarity properties, compare the ratio of the sides as;

Compare the ratio of the bigger triangle sides to that of the smaller traingle

First find the base of the bigger triangle using the sides given and applying the pythagorean relationship as;

10^2 - 5.8^2 = a^2

100 - 33.64 = a^2

66.36 = a^2

1/2 a= 8 .15 units

a= 16.30 units

Compare ratio

a/ 6 = 5.8 / b

16.30 /6 = 5.8/ b

16.30 b = { 6 * 5.8 }

b = {6 * 5.8} / 16.30

b = 2.13 units

Answer

2.13 units

The required equation for the line is  y =  x + 4 that perpendicular to y = -x + 4 and passes through the point (1, 5).

The required equation is y = 2x + 7 that parallel to y = -3x+7 passes through the point (0, 7).

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

The equation of the line which is given as

2x + 3y = 18

3y = -2x + 18

y = -2x/3 + 6

Here the slope of the line, m = -1/3

Let the required line would be as

⇒ y₀ - y₁ = m₀ (x₀ - x₁ )

The required line passes through the point (1, 5)

Here x₁ = 1 and y₁ = 5 and m₀ = 1/3 (Since required line perpendicular)

The equation of the line is obtained by substituting these values into the above equation;

⇒ y - 5 = 1 (x - 1)

⇒ y = x - 1 + 5

⇒ y =  x + 4

Therefore, the required equation for the line is  y =  x + 4 that perpendicular to y = -x + 4 and passes through the point (1, 5).

The equation of the line which is given as

y = 2x + 6

Here the slope of the line, m = 2

The given coordinates of the line;

points on the line (0, 7)

Let the required line would be as

⇒ y - y₁ = m (x - x₁ )

Here x₁ = 0 and y₁ = 7 and m = 2

The equation of the line is obtained by substituting these values into the above equation;

⇒ y - 7 = 2 (x - 0)

⇒ y - 7 = 2x

⇒ y = 2x + 7

Therefore, the required equation is y = 2x + 7 that parallel to y = -3x+7 passes through the point (0, 7).

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Step-by-step explanation:

always remember : the sum of all angles in a triangle is 180°.

that means the angle at A is also 60°.

and since all 3 angles are equal, this has to be an equilateral triangle (all 3 sides are equal).

therefore, x = 13

Answer:

here you go

Step-by-step explanation:

the last one is "Each point (or pair) in a proportional relationship must share the same difference."

Answer:

Step-by-step explanation:

Given :  Statement about proportional relationships  

To Find : Which statement is False

Solution:

proportional relationships

y ∝ x

=> y = kx    

Comparing with line line of equation

y = mx + c

m = k  , c = 0

Hence A proportional relationship must graph as a line

TRUE

at x = 0 , y = 0

Hence graph of a proportional relationship must pass through (0, 0).

TRUE

y = kx  

=> y/x = k  hence

Each point (or pair) in a proportional relationship must share the same ratio.

Each point (or pair) in a proportional relationship must share the same difference.

Answer:

if it is a chihuahua, then it will be just fine with 20lb

Answer:

C) 10

Step-by-step explanation:

Answer: 0.35

Step-by-step explanation:

Times 7 = 2. 45kg

Answer:

7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

9x - 3 = 60

Add 3 to both sides: 9x (- 3 +3) = (60+3)

9x = 63

Divide each side by 9: (9/9)x = (63/9)

x = 7

Answer:

x+3

Step-by-step explanation:

Kofi is 3 years older than Ama, so the answer is "x+3".

The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4 is (x - 4)^2 - 20.\) Option A

The vertex form of a quadratic function is given by\(f(x) = a(x - h)^2 + k\) where (h, k) represents the coordinates of the vertex.

In the given quadratic function \(f(x) = x^2 - 8x - 4\), we can rewrite it in the vertex form by completing the square:

\(f(x) = (x - 4)^2 - 16 - 4\\f(x) = (x - 4)^2 - 20\)

From this expression, we can see that the vertex of the quadratic function is at the point (4, -20).

The term\((x - 4)^2\) tells us that the vertex is at x = 4, and the constant term -20 indicates the y-coordinate of the vertex.

The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4\) is  \((x - 4)^2 - 20.\)

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Answer:

30 planes per hour

Explanation:

1.) 60/8= 7.5

2.) 7.5 x 4 = 30

The number of airplanes that land in one hour is 30 airplanes

What is an Equation?

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.

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.

Given data ,

The number of planes that land every 8 minutes = 4 planes

The number of planes that land every minute =
The number of planes that land every 8 minutes / 8

The number of planes that land every minute = ( 4 / 8 ) planes

                                                                            = 1/2 plane

Now ,

1 hour = 60 minutes

The number of planes that land every hour =
The number of planes that land every minute x 60

The number of planes that land every hour = ( 1/2 ) x 60

                                                                        = 30 planes

Hence , the number of airplanes that land every hour is 30 airplanes

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Answer: 160 inches

Step-by-step explanation:

To put lights around the window, you will need a total of 32 + 48 + 32 + 48 = <<32+48+32+48=160>>160 inches of lights. You will need this much light to go completely around the window.

Answer: 4.5

Step-by-step explanation:

30% is equal to 30/100, which is 0.3

If you times 0.3 by 15, you will get 30% of 15

Therefore the answer would be 0.3 x 15 = 4.5

Answer:

4

Step-by-step explanation:

Slope is \(\frac{rise}{run}\). Or, in other words the distance it travels in the y direction divided by the distance it travels in the x direction. Each time the y variable increments +4 and the x variable increments +1. Which means the line rises 4 units every time it runs 1 unit.

Slope=\(\frac{rise}{run}=\frac{4}{1}=4\)