you have 6 reindeer Rudy, Jebediah, Eskiel, Lancer, Gloopin, and Balthazar, and you want to have 5 fly your sleigh. You always have your reindeer fly in a single-file line

Answer:

22.5 km

Step-by-step explanation:

Speed = distance/time

Given speed = 75km/h

time = 18 mins

Distance = ?

Given the speed is in km/h , convert the time from minutes to hour .

18/60 = 0.3 hours

Therefore,

75 = distance/0.3

Cross multiply

75 x 0.3 = distance

22.5 = distance

Distance = 22.5 km

The value of x is 1 in the solution to this system of equation.

Step-by-step explanation:

The system of equation are :

2x+y = -1  ---------(1)

x-y = 4  ---------(2)

Adding the equations (1) and (2),

2x+y = -1

x - y = 4  

3x    = 3  

⇒ 3x = 3

⇒ x=3/3

⇒ x = 1

Answer:

140 feet²

Step-by-step explanation:

10 × 14 = 140

The price of one share of Webb Company stock increased by $0.154 from Monday to Friday.

To calculate the change in the price of a share of stock from Monday to Friday, we subtract the price of the stock on Monday from the price of the stock on Friday. In this case, the price on Monday was $24.85 and the price on Friday was $25.004.

Change in stock price = Price on Friday - Price on Monday

Change in stock price = $25.004 - $24.85

Change in stock price = $0.154

Therefore, the price of one share of Webb Company stock changed by $0.154 from Monday to Friday.

Answer:

x = 9

Step-by-step explanation:

you subtract 5 from 14 to get x alone with 9

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of the number x is 9.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The sum of a number x and 5 equals 14.

This can be written as,

x + 5 = 14

Subtract 5 on both sides.

x = 14 - 5

x = 9

Thus,

The value of the number x is 9.

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Answer:

(a) Mean = 36.05; (b) median = 37; (c) mode = 37  

Step-by-step explanation:

I am assuming your DFT is like this:

[tex]\begin{array}{c|c}\textbf{n} & \textbf{Frequency} \\33 & 0 \\34 & 3 \\35 & 3 \\36 & 3 \\37 & 10 \\\end{array}[/tex]

(a) Mean

The mean is the sum of all the data points divided by the number of points. I have done some of the calculations for you in the table below

[tex]\begin{array}{cccc}\textbf{n} & \textbf{f} & \mathbf{n\cdot f} & \mathbf{cf}\\33 & 0 & 0 &0 \\34 & 3&102 &3 \\35 & 3& 105 & 6\\36 & 3 &108 & 9\\37& 10& 370 & 19\\\textbf{SUM} & \mathbf{19}&\mathbf{685} \\\end{array}[/tex]

[tex]\begin{array}{rcl}\text{Mean} & = & \dfrac{\sum n}{n}\\\\& = & \dfrac{685}{19}\\\\& = & \mathbf{36.05}\\\end{array}[/tex]

(b) Median

The median is the middle value in your list of observations.

Your data set contains 19 terms, so the middle is (19/2)th term.

Count down the column of cumulative frequency (cf) until cf = 9½.

The 9½th term is 37.

Median = 37

(c) Mode

The mode is the value that appears most often in your list of observations.

It is obvious from your table that the number that occurs most frequently is 37.  

Mode = 37

The diagram below shows that the score of 37 is predominant.

The mean, median and mode are measures of central tendency in mathematics. They are found using a Frequency Distribution Table; calculate the mean by summing up the product of each data point and its frequency, then dividing by total frequency. The median is the middle number when data is in ascending order, and the mode is the number appearing most often.

In mathematics, the measures of central tendency referenced in your question; mean, median, and mode, are used to describe a set of data. Given your Frequency Distribution Table (FDT), here's how you would calculate each:

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Answer:

63cm³

Step-by-step explanation:

Volume of a pyramid:

⅓ × base area × height

⅓(7×3)×9

= 63 cm³

Answer:

A=800πcm²

Step-by-step explanation:

Knowing that the area of a circular sector is:

[tex]A_{cs}=\frac{\pi\alpha r^{2}}{360}[/tex]

where α is the sweep angle and r in the radio (according to the graph),

then

A=(45° π 80²)/360° = 800πcm²

Final answer:

The area swept by the door is 10π cm and the area of the sector is 200π cm².

Explanation:

To find the area swept by the door, we can first find the length of the arc created by the door when it opens. The arc length formula is given by:

Arc length = r × θ

Where r is the radius (half the width of the door) and θ is the angle through which the door opens. In this case, the radius is 40 centimeters (half of 80 centimeters) and the angle is 45 degrees.

So, the arc length = 40 cm × (45 degrees) = 40π/4 cm = 10π cm

The swept area can be approximated by treating it as a sector of a circle with radius 40 cm and central angle 45 degrees. The area of the sector is given by:

Area = (θ/360) × π × r²

Where θ is the central angle and r is the radius. Substituting the values, we get:

Area = (45/360) × π × (40 cm)² = 1/8 × π × 1600 cm² = 200π cm²

Answer:

D

Step-by-step explanation:

as 70⁰F is s positive number it is greater than any negative number, to in order to see how far apart it is, you have to subtract the lower number from the higher number hence 70⁰F-(-225⁰F) because the 225⁰F is a negative that you are subtracting, 70⁰+225⁰F could also work, as the two negative cancel out

Answer:

Your total earning for the week is $260

Step-by-step explanation:

You earn a salary of $200 weekly, which is constant. Then there is 3% commission on sales you make weekly too.

So it you make $2000, your commission is

3/100 × 2000 = $60

So your total earning for the week is constant income (salary) + commission, which is

$200 +$60 = $260

Explanation of identifying the percentage, base, and part of the base in an income scenario.

The total earning is $ 200 + 3% of $2000  

                                     = $ 200 + 60 = $260

The question: Identify the percentage, base, and part of the base in the given scenario.

Percentage: 3%

Base: Total sales made in the week, which is $2000

Part of the base: The commission earned, which is 3% of $2000

Answer:

3.03143313302

Step-by-step explanation:

Answer:

3.03143313

Step-by-step explanation:

Answer: equations 1,3,4 and 5 stated has solutions.

Step-by-step explanation:

From the question, (x + 5) + 5 = (x + 5) + 5

The equations that represent the situation are:

1. x + 5 = (5 − x) − 5 :which has one solution

2. x + 5 = (x + 5) − 5 : many solutions

3. x + 5 = (x + 5) − 5: no solution

4. x + 5 = (5 − x) − 5 : many solutions

5. (x + 5) + 5 = (x + 5) + 5: many solutions

Equation 2 has no solution. While the other equations have one and more than one solutions.

The solution of the equation 4y − x + 9 = 0 and y = 6 − 2x will be (11/3, −4/3). Point (2, 3) is not the solution of the system.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equations are given below.

−x + 4y = −9        ...1

y = −2x + 6         ...2

From equations 1 and 2, then we have

−x + 4(−2x + 6) = −9

−x − 8x + 24 = −9

−9x + 24 = −9

9x = 24 + 9

9x = 33

x = 11 / 3

Then the value of the variable 'y' is calculated as,

y = −2(11/3) + 6

y = −22/3 + 6

y = −4/3

The arrangement of the situation 4y − x + 9 = 0 and y = 6 − 2x will be (11/3, −4/3). Point (2, 3) isn't the arrangement of the framework.

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The point (2, 3) does not satisfy either of the given equations, −x + 4y = −9 and y = −2x + 6. Therefore, it is not a solution to the system of equations.

To determine if the point (2, 3) is a solution to the system of equations consisting of −x + 4y = −9 and y = −2x + 6, we need to check whether the point satisfies both equations.

Let's substitute the values into the first equation:
−(2) + 4(3) = −8 + 12 = 4, which does not equal −9. Therefore, the point does not satisfy the first equation.

For the second equation:
−2(2) + 6 = −4 + 6 = 2, which does not equal 3. Hence, the point does not satisfy the second equation either.

Since the point (2, 3) does not satisfy either equation, it is not a solution to the system of equations.

Answer: 900

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

$2250

Step-by-step explanation:

First we calculate total payment made by her in 3 years time. This can be done by multiplying monthly payments by 36 months (3 years time). Then we deduct the same by the loan balance required to pay off. The difference of both is the interest paid over the three years. As done below

Total Payment = 201.39 x 36 = 7,250.04

Interest Paid = 7,250.04 - 5,000 = 2,250.04

Rounding off to whole number that is $2,250

Answer:

Step-by-step explanation:

x/2=3.5

x=3.5*2

x=7

To find out how much money your friend spent at the clothing store, set up a proportion using the information given. Your friend spent $20 at the clothing store.

To find out how much money your friend spent at the clothing store, we can set up a proportion using the information given. Let's let x represent the total amount your friend spent.

Since your friend paid $17 for a shirt, and that amount was 85% of the total amount spent, we can set up the equation:

17/x = 85/100

Cross multiplying, we get:

100 * 17 = 85 * x

1700 = 85x

To solve for x, we divide both sides of the equation by 85:

x = 1700 / 85 = 20

Therefore, your friend spent $20 at the clothing store.

Answer:

Therefore, the equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:

                                             [tex]y=\frac{-8}{5}x-3[/tex]  

Step-by-step explanation:

Given the point (-5, 5)

slope = m = -8/5

Using the slope intercept form:  

[tex]y=mx+b[/tex]

Plugging point (-5, 5) and slope = m = -8/5 in the slope intercept form to find the y-intercept 'b'.

[tex]5=\frac{-8}{5}\left(-5\right)+b[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

[tex]\frac{-8}{5}\left(-5\right)+b=5[/tex]

[tex]8+b=5[/tex]

[tex]8+b-8=5-8[/tex]

[tex]b=-3[/tex]

so the equation of the line will be:

[tex]y=mx+b[/tex]

plugging m = -8/5 and b = -3 in slope intercept form

[tex]y=\frac{-8}{5}x-3[/tex]      

Therefore, the equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:

                                             [tex]y=\frac{-8}{5}x-3[/tex]  

Answer:

Step-by-step explanation:

-14 is an integer

We can also tell as rational number

as -14 can be written in the form p/q, ie -14/1

Answer:

18

Step-by-step explanation:

x-6y

Let x = 48 and y=5

48 -6(5)

48 - 30

18

Answer:

bruh

Step-by-step explanation:

fpkgjdfgjd

Answer:

Step-by-step explanation:

width =x

length = 2x + 3

Perimeter = 48 feet

2*(length + width ) = 48

2*(2x + 3 + x) = 48

2*(3x + 3 ) = 48

3x +3 = 48/2

3x + 3 = 24

3x = 24-3

3x = 21

x = 21/3

x = 7

Width = x = 7 feet

length = 2x + 3 = 2*7 + 3 = 14+ 3 = 17 feet

The measure of arc EG = 16°.

Solution:

Given data:

m∠X = 47°  and m(ar FH = 110°)

To find the measure of arc EG:

We know that,

Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.

[tex]$m \angle X=\frac{1}{2}({arc} \ FH-{arc} \ EG)[/tex]

[tex]$47^{\circ}=\frac{1}{2}\left(110^\circ- {arc} \ EG}\right)[/tex]

Multiply by 2 on both sides.

94° = 110°  - arc EG

Subtract 110° from both sides.

-16° = -arc EG

Multiply -1 on both sides, we get

16° = arc EG

Switch the sides.

arc EG = 16°

The measure of arc EG = 16°.

Answer:

Step-by-step explanation:

Given that

3+2(2p+4t)

Let open the bracket first

3+ 2×2p + 2×4t

3+4p+8t

This is the equivalent of the expression.

The equivalent expression for 3+2(2p+4t) is given by performing the operations according to the mathematical rules of order of operations. First, apply the distributive property to get 4p + 8t. Then, the expression become 3 + 4p + 8t.

The student is looking to simplify and find the equivalent mathematical expression for: 3 + 2(2p + 4t).

First, you should apply the distributive property of operations, which means you multiply the number outside the parenthesis with each term inside the parenthesis. So, 2(2p + 4t) becomes 4p + 8t.

Next, add the 3 to the simplified expression 4p + 8t. The final equivalent expression will be 3 + 4p + 8t.

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Answer:

9/23

Step-by-step explanation:

Students who play at least 1 sport = 23-8

= 15

Students playing both sports = (11+13)-15

= 24-15

= 9

Probability = 9/23

Alternatively,

A venn diagram could be drawn

The probability that a student chosen randomly from the class plays both basketball and baseball is 39%.

First step

Either (or both) sports =(23 - 8)=15 students play

Both=[11 basketball and 13 baseball)-15]= 9 must play both

Second step

Probability=9/23

Probability=0.39 or 39%

Therefore the probability that a student chosen randomly from the class plays both basketball and baseball is 39%.

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Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

2m + 3(2) = 24

2m + 6 = 24

Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

2m = 18

Divide both sides of the equation by 2

m= 9

Therefore one movie ticket costs $9 while one snack costs $2

Answer:

  6:00 AM

Step-by-step explanation:

London is 9 hours behind Tokyo, so it is still 6:00 AM in London when it is 3:00 PM in Tokyo.

Answer:

Step-by-step explanation:

how many touch downs did the team get?

A bar graph represents the points scored by a football team for each touchdown scored.

The graph that represents this situation is a bar graph. The x-axis represents the number of touchdowns scored and the y-axis represents the number of points scored. Each bar on the graph represents a different number of touchdowns scored, and the height of the bar represents the number of points scored for that number of touchdowns. For example, if the team scores 2 touchdowns, the corresponding bar on the graph would have a height of 12 (2 touchdowns * 6 points per touchdown).

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Answer: its c

Step-by-step explanation: