Irma is just learning to play the Happy Fairies video game. In the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens. Irma had a total of – 5 points. Then, her fairy house fell over in the wind and she got – 3 points. How many total points does Irma have now?

Answer:

[tex]6.21\times 10^{-5}\ \text{light years}[/tex]

Step-by-step explanation:

The distance light travels in one year is known as a light year.

[tex]1\ \text{light year}=5.87\times 10^{12}\ \text{miles}[/tex]

The closest that Earth ever gets to Jupiter is [tex]3.65\times 10^8\ \text{miles}[/tex]

[tex]3.65\times 10^8\ \text{miles}=\dfrac{1}{5.87\times 10^{12}}\times 3.65\times 10^8\ \text{light years}\\\\=6.21\times 10^{-5}\ \text{light years}[/tex]

Hence, the distance it will take light to travel from Earth to Jupiter at this distance is [tex]6.21\times 10^{-5}\ \text{light years}[/tex]

Answer:

See below

Step-by-step explanation:

The patties (3 packs)

12x3= 36

The buns (4 packs)

9x4= 36

cost:

3x$4.98= $14.94

4x$2.16= $8.64

Add them to equal the total cost

= $ 23.58

Answer:

4096

Step-by-step explanation:

Answer:

Measure all the sheets together and divide by 200

Step-by-step explanation:

An average mean is the sum of something divided by how many things there are.  In this case, it is the sum of the thickness of 200 pages, divided by the number of pages, 200.

Answer: Were is the math problem at?

Answer:

x=-4

x=14

Step-by-step explanation:

Absolute Value Equation entered :

     3|5-x|+2=29

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     3|-x+5|+2 = 29

Another term is moved / added to the right hand side.

     3|-x+5| = 27

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|-x+5|

For the Negative case we'll use -3(-x+5)

For the Positive case we'll use 3(-x+5)

STEP

3

:

Solve the Negative Case

     -3(-x+5) = 27

    Multiply

     3x-15 = 27

    Rearrange and Add up

     3x = 42

    Divide both sides by 3

     x = 14

STEP

4

:

Solve the Positive Case

     3(-x+5) = 27

    Multiply

     -3x+15 = 27

    Rearrange and Add up

     -3x = 12

    Divide both sides by 3

     -x = 4

    Multiply both sides by (-1)

     x = -4

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=14

x=-4

Solutions on the Number Line

Two solutions were found :

x=-4

x=14

Answer:<EBA=103

Step-by-step explanation:

72+31=103

Answer:

[tex]\boxed {\tt C. \ m \angle EBA=103}[/tex]

Step-by-step explanation:

∠EBA is made up of 2 angles: ∠ABC and ∠EBC

If we want to find the measure of ∠EBA, we should add the measure of ∠ABC and ∠EBC.

m∠EBA= m∠ABC+m∠EBC

The measure of angle ABC is 72. The measure of angle EBC is 31. (m∠ABC=72 and m∠EBC=31)

m∠EBA= 72 + 31

Add.

m∠EBA=103

The measure of angle EBA is 103 and choice C is correct.

Answer:

145.9°C

Step-by-step explanation:

Given that :

Lowest temperature recorded (Soviet Vostock station Antarctica) = - 89.2°C

Highest temperature recorded (Greenland Ranch California) = 56.7°C

Difference between the highest and lowest recorded temperature :

(Highest temperature - lowest temperature)

(56.7°C - (-89.2°C))

= 56.7°C + 89.2°C

= 145.9°C

Answer:

Victor runs 0.6 of a lap in 1 minute

Step-by-step explanation:

From the question;

3 laps = 5 minutes

x laps = 1 minute

3 * 1 = 5 * x

3 = 5x

x = 3/5

x = 0.6

Victor runs 0.6 of a lap in a minute

Answer:

117 is the value of you Question

Step-by-step explanation:

Answer:

The moon has moonquakes.

Step-by-step explanation:

The heads on Easter Island have bodies.

Answer:

The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3

Step-by-step explanation:

The given information are;

The vertices of ΔPQR are;

P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)

Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

For side PQ, we have;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)

Given that the points have equal y-values, the length is the difference of their x-values as follows;

[tex]l_{PQ}[/tex] = 6 - 3 = 3

Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;

[tex]l_{QR}[/tex] = -3 - (-6) = 3

Length PR is given as follows;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)

[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]

[tex]l_{PR}[/tex] = 3·√2

For P'Q', we have

P'(-2, 2), Q'(-2, 1)

[tex]l_{P'Q'}[/tex] = 2 - 1 = 1

[tex]l_{P'Q'}[/tex] = 1

For Q'R', we have

Q'(-2, 1), R'(-1, 1)

[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1

[tex]l_{Q'R'}[/tex] = 1

For P'R', we have;

P'(-2, 2), R'(-1, 1)

[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]

[tex]l_{P'R'}[/tex] = √2

Therefore, given that we have

PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3

The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.

Answer:

1,100 miles traveled in 2 hours, 3,300 miles in 6 hours

Step-by-step explanation:

if the plane is moving at a constant speed, to find the miles per hour divide the distance traveled over the time (1650/3). this would get you 550 miles per hour. So, to get the distances at the other times multiply the times by the speed to get distance traveled. (2*550) and (6*550)

Answer:

Purchases= production + desired ending inventory - beginning inventory

Step-by-step explanation:

Giving the following information:

Two pounds of raw materials are needed to produce one product.

The desired ending balance of raw materials is 10% of the next month's production needs.

The beginning inventory of raw materials is 4,000 pounds.

The raw material cost per unit is $0.50 per pound.

To calculate the direct material purchase required for a given month, we need the production for each month. I will provide the formula and a small example to guide an answer.

To calculate the purchase required, we need to use the following formula:

Purchases= production + desired ending inventory - beginning inventory

For example:

Production:

January= 5,000 units

February= 4,500 units

Direct material purchases January:

Production= 5,000*2= 10,000

Desired ending inventory= (4,500*2)*0.1= 900

Beginning inventory= (4,000)

Total purchase in pounds= 6,900

Total direct material cost= 6,900*0.5= $3,450

Answer:

its simple 5.90

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

8 / 32 = 0.25

Multiply 0.25 with 252

0.25 * 252 = 63

This process simply applies the same ratio from the first test to the second test.

The name of my shape is a parallelogram. The sides are:

The perimeter is 34 feet because:

Step 1: Add smaller groups.

10 + 10 = 20

7 + 7 = 14.

Step 2: Add the two numbers.

14 + 20 = 34.

Hope this answer helps you!

I got 2 : 3. You didn’t give answer choices but after you commented the answer choices I was able to determine that 2:3 is the answer.

Answer:

f(x) = 2x^2+5x-12

Step-by-step explanation:

Answer:

Maximum number of chairs is 7.

Step-by-step explanation:

We are told he has less than 120 minutes to spend painting furniture each day.

Now he has spent 30.5 minutes painting a desk.

Also, he wants to paint "x" number of chairs with each chair taking 12.5 minutes.

Thus, we have;

30.5 + 12.5x < 120

Subtract 30.5 from both sides to get;

12.5x < 120 - 30.5

12.5x < 89.5

x < 89.5/12.5

x < 7.16

Thus, maximum number of chairs he can paint is 7

Answer:

Maggie is 13

Step-by-step explanation:

Honestly, I just kept trying ages starting from 10 because I knew it wasn't going to be less than that. Then I did whatever age, in this case 13, and multiply it by  4. Then minus 11 from that number. Then take that end number and add it to the beginning number(maggies age) and you should get 54.

Math Equation Explanation:

13*4 = 52                           (Maggies Age) x 4

52-11= 41                            The question stated that Maggie's brother was 11                                             -------------------------------------years younger than her age times 4.

41 + 13 =54                          The sum of both their ages.

Answer:

3x+1

Step-by-step explanation:

(2x+x+3+6x)/3

9x+3/3

3x+1

The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.

This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.

Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.

In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.

Learn more about Expressions here :

brainly.com/question/21751419

#SPJ2

Answer:

Step-by-step explanation:

If Frederick can swim 25 yards in 23 seconds, then:

25 yards = 23 seconds

To determine how long it will take him to swim 175yards, we will say:

175 yards = x

Equating both expression:

25 yards = 23 seconds

175 yards = x

Cross multiply

25x = 23*175

25x = 4025

Divide both sides by 25

25x/25 = 4025/25

x = 161 secs

This means that it will take Frederick 161 secs to swim 175 yards

Answer:

The constant of proportionality of the graph is 0.75

Step-by-step explanation:

The coordinates of the points on the lines are;

(400, 300), (250, 187.5), and (120, 90)

Which can be written in a tabular form as follows;

Number of US dollars   [tex]{}[/tex]                       Number of euros

120                                 [tex]{}[/tex]                        90

250                                [tex]{}[/tex]                        187.5

400                                [tex]{}[/tex]                        300

Given that the graph is a straight line graph, we can represent the graph with the straight line equation, y = m·x + c

Where;

c = The y-intercept (where the graph meets the y-axis) = 0

m = The slope = The constant of proportionality

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m =\dfrac{300-90}{400-120} = \dfrac{210}{280} = 0.75[/tex]

We have, y = m·x = 0.75·x.

Therefore, the constant of proportionality of the graph = 0.75.