A 2-column table with 3 rows. Column 1 is labeled Item with entries salad, soup, drink. Column 2 is labeled Cost with entries 7 dollars, 3 dollars, 2 dollars and 50 cents.
The table shows the cost of several items at a restaurant including tax.

Pia ordered a salad and a drink. She paid with a $20 bill. How much change should she receive?

$

The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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Answer:

279.987

this is da answer

Step-by-step explanation:

There are 280.035 lbs in 127 kilograms. The answer is obtained by applying the unit conversion.

What is unit conversion?

A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.

Now,

we have been given 127 kilograms which are to be converted into pounds and to be represented in lbs.

We know that 1 kilogram = 2.205 lbs (approx)

Therefore,

⇒127 kilograms = 127 * 2.205

⇒127 kilograms = 280.035 lbs

Hence,

          There are 280.035 lbs in 127 kilograms.

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This probability does not support the Trump/Farage claim that 60% of all immigrants are male.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes, and how likely they are.

The probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found using the binomial probability formula, which calculates the probability of a specific number of successes (male immigrants) in a fixed number of trials (sample size) with a fixed probability of success (p = 0.60).

Using the binomial formula, the probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found by summing the probabilities of obtaining 257 males, 256 males, 255 males, etc. up to 0 males.

Using a binomial calculator, we can find that the probability of obtaining 257 or fewer males in a sample of 583 immigrants is about 0.04.

This probability is quite low, which suggests that it is unlikely to obtain 257 or fewer males in a sample of 583 immigrants if the proportion of male immigrants is actually 60%.

Therefore, this probability does not support the Trump/Farage claim that 60% of all immigrants are male.

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Answer:

\(\mathrm{Focus:\;\;} \left(-\frac{5}{3},\:2\right)\)

\(\mathrm{Directrix:\;\;}x=-\frac{1}{3}\)

Step-by-step explanation:

The standard equation for a parabola is

\(4p\left(x-h\right)=\left(y-k\right)^2\)

with vertex at (h, k) and a focal length of |p|

\(\mathrm{Rewrite}\:x=-\frac{3}{8}\left(y-2\right)^2-1\:\mathrm{in\:the\:standard\:form}\):

\(\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\)

\(x+1=-\frac{3}{8}\left(y-2\right)^2-1+1\) or

\(x+1=-\frac{3}{8}\left(y-2\right)^2\)

\(\mathrm{Divide\:both\:sides\:by\:}-\frac{3}{8}\)
\(\frac{x+1}{-\frac{3}{8}}=\frac{-\frac{3}{8}\left(y-2\right)^2}{-\frac{3}{8}}\)

\(\mathrm{Simplify}\)
\(-\frac{8x}{3}-\frac{8}{3}=\left(y-2\right)^2\)

\(\mathrm{Factor\:}-\frac{8}{3}\)
\(\left(-\frac{8}{3}\right)\left(x+\frac{-\frac{8}{3}}{-\frac{8}{3}}\right)=\left(y-2\right)^2\)

\(\mathrm{Simplify}\)
\(\left(-\frac{8}{3}\right)\left(x+1\right)=\left(y-2\right)^2\)

\(\mathrm{Factor\:}4\)
\(4\cdot \frac{-\frac{8}{3}}{4}\left(x+1\right)=\left(y-2\right)^2\)

\(\mathrm{Simplify}\)
\(4\left(-\frac{2}{3}\right)\left(x+1\right)=\left(y-2\right)^2\)

\(\mathrm{We\; can\; rewrite\:this\;as}\)
\(4\left(-\frac{2}{3}\right)\left(x-\left(-1\right)\right)=\left(y-2\right)^2\)

Comparing this with the standard form we get
\(\left(h,\:k\right)=\left(-1,\:2\right)\)
\(\:p=-\frac{2}{3}\)

The parabola is symmetric around the x-axis.

The focus lies a distance \(p\) from the center \(\left(-1,\:2\right)\) along the x axis

So focus is at
\(\left(-1+p,\:2\right)\) \(=\left(-1+\left(-\frac{2}{3}\right),\:2\right)\) \(=\bold{ \left(-\frac{5}{3},\:2\right)}\)

The parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis at a distance -p from the center

\(x=-1-p\)

\(x=-1-\left(-\frac{2}{3}\right) = \bold{-\frac{1}{3}}\)

Answer:

30 ft

Step-by-step explanation:

h/(40 + 8) = 5/8

h = 30

Answer:

15

Step-by-step explanation:

180-150 = 30

30 = 3x-15

45 = 3x

x = 15

The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

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Answer:

hii

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

180 (a straight angle's degrees) /9 = 20

20 * 8 = 160

Check:

160 + 20 = 180

Step-by-step explanation:

Did you try clicking the help me solve this option?

Answer:x=-0.5

Step-by-step explanation:

You would add the 2.5 on both sides of the equal sign

Yes, the measure of angle 1 is equal to the measure of angle 2 because Option a. they both intercept the same arc on the circle.

Measure of ∠1 is equal to the measure of ∠2 using the inscribed angle theorem.

Which states that an angle formed by two chords that intersect on a circle is half the measure of the intercepted arc.

The length of the sides of an angle is not a factor in determining its measure.

So the fact that the sides of ∠2 are longer than those of ∠1 is irrelevant in this case.

Also, the fact that they intercept the circle at different points is also not a relevant factor.

As it is the measure of the intercepted arc that determines the measure of the inscribed angle, not the position of the points on the circle.

Therefore, the measure of angle1 is equal to the measure of ∠2 is the only relevant factor given by option a. they intercept the same arc.

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The above question is incomplete, the complete question is:

Is the measure of angle1 equal to the measure of angle 2? why?

a. yes, because they intercept the same arc.

b. no, because the sides of ∠ 2 are longer

c. no, because they intercept the circle at different points

Answer:

y=2/1x-3 or y=2x-3

Answer:

\(\sf y = \frac{1}{2} x-3\)

explanation:

picked coordinates: (6,0), (0,-3)

slope:

\(\sf \frac{x-x_1}{y-y_1}\)

\(\sf \frac{-3-0}{0-6}\)

\(\sf \frac{-3}{-6}\)

\(\sf \frac{1}{2}\)

equation:

\(\sf y = mx + b\)

\(\sf y = \frac{1}{2} x-3\)

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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The cost of walking this guest is $190.

The cost of walking the guest can be calculated by adding up the expenses incurred by the hotel.

The guest was walked to another hotel that charged a room rate of $150. Therefore, the hotel incurred a cost of $150 for the room.

In addition to the room cost, the hotel also paid for the guest's Uber ride to the new hotel, which was $15.

Furthermore, the overbooked hotel gave the guest a gift card worth $25. Although the gift card does not directly represent an expense, it can be considered as an opportunity cost for the hotel, as they could have used that money to cover other costs.

Therefore, the total cost incurred by the hotel for walking the guest is:

$150 (room cost) + $15 (Uber cost) + $25 (gift card cost) = $190

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Answer:

Selling Price= $180

Step-by-step explanation:

100%×90=90

90+90=180

The magnitude of the cross product u x v is  \(27\sqrt{3}\).

To compute the vector product (cross product) of u and v, we can use the formula:

u x v = |u| |v| sin(θ) n

Where:

|u| and |v| are the magnitudes of vectors u and v,

theta is the angle between u and v, and

n is the unit vector perpendicular to the plane formed by u and v.

Given:

u = 6

v = 9

θ = 2\(\pi\)/3

To find the magnitude of the cross product, we can use the formula:

|u x v| = |u| |v| sin(θ)

Plugging in the values, we get:

|u x v| = 6 * 9 * sin(2\(\pi\)/3)

       = 54 * \(\sqrt{3}\)/ 2

       = 27 \(\sqrt{3}\)

So the magnitude of the cross product is 27 \(\sqrt{3}\).

To determine the direction of the cross product, we can use the right-hand rule. Since the angle between u and v is 2\(\pi\)/3 (or 120°), the cross product will be perpendicular to the plane formed by u and v, pointing in a direction determined by the right-hand rule.

In conclusion, the vector product of u and v is 27 \(\sqrt{3}\), and its direction is perpendicular to the plane formed by u and v.

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Answer:

A

Step-by-step explanation:

I got it lol

Answer:

Ahhh, vertical angles, thank goodness for these, hahaha!

According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.

Knowing this, you have to set each equation equal to each other in order to solke this one!

Let's do it!

6x + 18 = x + 93

STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.

5x + 18 = 93

STEP 2: Get X alone by subtracting 18 from both sides.

5x = 75

STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.

FINAL ANSWER: x = 15

NOTE: X is B.

Answer:

For whom ever has this question

B=108    x=15

Answer:

Step-by-step explanation:

2/5 và -1/2

Answer:

tan(A+B) = 84

Step-by-step explanation:

We can use the identity: tan(A+B) = (tanA + tanB) / (1 - tanA*tanB)

Given, tanA = 4/3

So, opposite side of angle A = 4, adjacent side of angle A = 3

Using the Pythagorean theorem, we get the hypotenuse of angle A = 5

Also, sin B = 8/17

So, opposite side of angle B = 8, hypotenuse of angle B = 17

Using the Pythagorean theorem, we get the adjacent side of angle B = 15

Now, we can find the value of tanB as opposite/adjacent = 8/15

Plugging in the values in the identity for tan(A+B), we get:

tan(A+B) = (4/3 + 8/15) / (1 - (4/3)*(8/15))

= (20/15 + 8/15) / (1 - 32/45)

= 28/15 / (13/45)

= (28/15) * (45/13)

= 84

Therefore, tan(A+B) = 84.

Hope this helps!

Answer:

3f-7

Step-by-step explanation:

To find the cost of each favor, represented by the variable f, we can use the equation 265(f + 8) = 305.

In summary, the equation that can be used to find the cost of each favor is 265(f + 8) = 305.

Let's explain the answer in more detail. The equation 265(f + 8) = 305 represents the total cost of the favors, which is 305. The variable f represents the cost of each favor. To isolate f and solve for its value, we need to simplify the equation.

Expanding the equation, we have:

265f + 2120 = 305

Next, we isolate the term containing f by subtracting 2120 from both sides of the equation:

265f = 305 - 2120

Simplifying further:

265f = -1815

Finally, to solve for f, we divide both sides of the equation by 265:

f = -1815/265

Therefore, the equation 265(f + 8) = 305 allows us to find the cost of each favor, which is approximately f = -6.85.

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Step-by-step explanation:

y = 200  - 3 *x  has slope = -3   this is downward sloping from L to R

Answer:downward sloping

Step-by-step explanation:

negative slope

Given data:

The first point on the graph is (2, 5).

The second point on the graph is (1, 3).

The expression for the equation of the line is,

Convert the above equation into nequality.

y-2x>1

Thus, the given inequality is y-2x>1.

Answer:

1

Step-by-step explanation:

Either put the whole expression into a scientific calculator, or do each stage manually, as follows:

First, simplify the indicies:

(243 * 100000 * 25) / (78125 * 7776)

Then multiply the terms together:

607500000 / 607500000

Then divide the resulting terms:

1

Answer:

1

Step-by-step explanation:

first,

(3^5)*(10^5) in the nominator = (3*10)^5 = 30^5

then nominator's (30^5) divided by denominator's (6^5) = (30/6)^5 = 5^5

nominator's (5^5) divided by denominator's (5^7) = 5^(5-7) = 5^-2 = 1/(5^2)= 1/25

(25) * (1/25) in the nominator = 1

we get the answer: 7 / (Ln^3(2)).To find answer, we need to calculate the triple integral of the temperature distribution function T(x, y, z) = 128e^(-x-y-z) over the volume of the box D and divide it by the volume of D.

The triple integral is given by:

∭T(x, y, z) dV

To determine the limits of integration, we consider the given box D with boundaries 0 ≤ x ≤ Ln(2), 0 ≤ y ≤ Ln(4), and 0 ≤ z ≤ Ln(8).

So, the limits of integration for each variable are:

∫[0 to Ln(8)] ∫[0 to Ln(4)] ∫[0 to Ln(2)] 128e^(-x-y-z) dx dy dz

Simplifying the triple integral, we have:

∫[0 to Ln(8)] ∫[0 to Ln(4)] 128e^(-x-y) * e^(-z) dx dy dz

= ∫[0 to Ln(8)] ∫[0 to Ln(4)] 128e^(-x-y) dz dx dy

= ∫[0 to Ln(8)] [-128e^(-x-y)]| [0 to Ln(4)] dx dy

= ∫[0 to Ln(8)] (-128e^(-x) + 128e^(-x-Ln(4))) dx

Integrating with respect to x, we get:

[-128e^(-x) - 128e^(-x-Ln(4))]| [0 to Ln(8)]

= [-128e^(-Ln(8)) - 128e^(-Ln(8)-Ln(4))] - [-128e^(0) - 128e^(0-Ln(4))]

= (-128/e^8 - 128/(e^8 * e^4)) - (-128 - 128/e^4)

= (-128/e^8 - 128/e^12) - (-128 - 128/e^4)

= -128/e^8 + 128/e^12 + 128 + 128/e^4

Finally, we divide this result by the volume of D, which is given by:

Volume = (Ln(2)) * (Ln(4)) * (Ln(8))

So, the average temperature is:

(-128/e^8 + 128/e^12 + 128 + 128/e^4) / [(Ln(2)) * (Ln(4)) * (Ln(8))]

Simplifying this expression, we get the answer: 7 / (Ln^3(2)).

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Answer:

1 . option b

2. option d

Step-by-step explanation:

1) Diameter = 8cm

  Radius = 8/2 = 4cm

2) Diameter = 8cm

   Radius = 4cm

   \(Volume = \frac{1}{3} \pi r^2h = \frac{1}{3} \pi 4^2 \times 15 = 16 \pi \times 5 = 80 \pi = 251.2cm^3\)