the map shows the route for a race. you are at a, which is 6000 feet from the first checkpoint b. the second checkpoint c is located at the midpoint between b and the end of the race d. the total race is 3 miles. how far apart are the 2 checkpoints? (hint: there are 5280 feet in a mile.) 5280 feet 6000 feet 4920 feet 9840 feet i will draw the picture!

Answers

Answer 1
The two checkpoints are 4,920 ft. apart from each other. The total distance of the race is 15,840 ft. If checkpoint C half the distance between checkpoint B and the end of the race, the distance between Checkpoint B and the end of the race is 9,840 ft. Half of that distance is 4,920 ft.

Related Questions

So difficult!!! Someone help

Answers

when two lines cross like this, sum of measures of opposite angles is 180.
this means that:
measure angle AEC + measure angle BED = 180
4x-40 + x+50 = 180
5x +10 = 180
5x = 170
x = 34
therefore:
measure angle AEC = 4x-40 = 4(34)-40 = 96
measure angle BED = x+50 = 34+50 = 84

Point a and point b are placed on a number line point a is located -20 and point b is 5 less then point a .which statement about paint b is true

Answers

point a is located -20 and point b is 5 less then point a

-20 - 5 = -25 
So the answer is C. It is located at -25 and is to the left of point a on the number line

A rectangle is 3 times as long as it is wide. the perimeter is 60 cm. find the dimensions of the rectangle. round to the nearest tenth if necessary. (1 point) 7.5 cm by 22.5 cm 7.5 cm by 52.5 cm 20 cm by 60 cm 15 cm by 22.5 cm

Answers

the answer to your question is 3.5 because if you subtract 22.5-7.5 it equals 3.5 so just try that answer

Complete the solution of the equation. Find the value of y when x equals 15.

3x ‒ 8y = 5
y= ?

Answers

So first, we want to substitute in 15 to all the x variables.

So,

3x - 8y = 5

Becomes

3 * 15 - 8y = 5

Or, 

45 - 8y = 5

So here, you can subtract 45 from both sides to move all like terms to one side.

-8y = 5 - 45

And then simplify:

-8y = -40

Then divide both sides by -8

y = 5
3x ‒ 8y = 5

substitute with x=15

3(15) - 8y = 5
45 - 8y = 5
-8y = -40
 y= 5


I hope that helps!



Simplify -8 - 7(y+2)

Answers

-8 - 7(y+2)
-8 -7y -14

-7y -22 is your answer

hope this helps

A computer system password requires five characters, all lowercase letters (remember there are 26 letters), and all the letters must be different. how many different passwords are possible?

Answers

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The number of ways in which the password can be formed is 7,893,600.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that a computer system password requires five characters, all lowercase letters (remember there are 26 letters), and all the letters must be different. Therefore, if a letter is used once it can not be used again.

For the first place available options = 26 letter

Now, one letter is only used therefore, there are only 25 options available for the next place.

For the Second place available options = 25 letter

Now, two letters are only used therefore, there are only 24options available for the next place.

For the third place available options = 24 letter

Now, three letters are only used therefore, there are only 23 options available for the next place.

For the fourth place available options = 23 letter

Now, the four letter are only used therefore, there are only 22 options available for the next place.

For the fifth place available options = 22 letter

Further, the number of ways in which the password can be formed is,

Number of ways = 26 × 25 × 24 × 23 × 22 = 7,893,600

Hence, the number of ways in which the password can be formed is 7,893,600.

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Final answer:

There are 789,360 different passwords that are possible.

Explanation:

To find the number of different passwords that are possible, we can consider the problem in a step-by-step manner.

For the first character, there are 26 choices since we can choose any lowercase letter.For the second character, there are 25 choices remaining since one letter has already been used.Similarly, for the third character, there are 24 choices remaining.For the fourth character, there are 23 choices remaining.And finally, for the fifth character, there are 22 choices remaining.

To find the total number of possible passwords, we can multiply these choices together: 26 × 25 × 24 × 23 × 22 = 789,360.

Write the equation of the line that passes through (2, 4) and has a slope of –1 in point-slope form.

Answers

Point slope form is just a point and the slope written in the form y-y1 =m (x-x1).
Where x1 and y1 (should be subscripts) are (x1,y1) the point you are given.
So in this case all you must do is plug in the given values:

( y-y1 ) = m ( x-x1 )
( y-4. ) = -1 ( x-2 )
This being your answer

I hope this helps!!

The other person is correct i just did the test

For what values of x would the rectangle have a perimeter of at least 242?
a.9 or less
b.12 or less
c.12 or greater
d.25 or less

Answers

The answer is C. Hope this helps

what is 25+120-10x=10x-35=

Answers

145-10x=10x-35

Add 35 to both sides.

175-10x=10x

Add 10x to both sides.

175=20x

Divide both sides by 20

8.75=x


9/5 times a number plus 6 is 51 ?

Answers

- so 9/5 the number is 51-6=45.
- the number is 45 divided by 9/5
- the number is 45 times 5/9
- the number is 25
51 - 6 is 45
9/5 as a decimal is 1.8
45 divided by 1.8 is 25

Your answer is 25.

Hope this helps!

paul deposited 1,200$ into an account that earns 1.5% in annual simple interest. If paul does not make any deposites or withdrawls how much money will paul have in his account in 2 years?

Answers

1236.27 is the correct answer
The formula is
A=p (1+rt)
A future value?
P present value 1200
R interest rate 0.015
T time 2 years

A=1,200×(1+0.015×2)
A=1,236

Hope it helps!

Given a segment with endpoints A and B, what figure can you contrust using the steps below?

Step 1: Put the compass point on A and draw a long arc. Be sure the opening is greater than 1/2 AB.
Step 2: With the compass on the same setting, put the compass point on B and draw another long arc. Label the points where the two arcs meet as X and Y.
Step 3: Draw XY. (it has a line on top) Label the point of intersection of AB (it has a line on top too) and XY (has a line on top) as M, the midpoint of AB. (line on top)

a. a perpendicular bisector
b. a congruent segment
c. an angle bisector
d. a congruent angle

Answers

A is the correct answer. By drawing two arcs from the two end points and drawing a line down the middle of the arc, you are creating a line that is at right angles with line AB. It is also in the midpoint. This makes it a perpendicular bisector.
This is a perpendicular bisector

How are polynomials like other number systems such as whole numbers and integers?

Answers

You can add, subtract, and multiply them. These three operations obey the rules for integers. There's a polynomial division algorithm that fills formally the same role as the usual division algorithm for integers. Polynomials added to, subtracted from, or multiplied by other polynomials yield only polynomials. Likewise, integers added to, subtracted from, or multiplied by other integers yield only integers.

Item 15 The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone. The formula for the surface area S of a right cone is S=πr2+πrl,S=πr2+πrl, where r is the radius of the base and l is the slant height. Find the height of the cone.

Answers

Final answer:

The height of the cone is equal to the slant height plus 1.

Explanation:

To find the height of the cone, we can use the formula for the surface area of a cone: S = πr^2 + πrl, where r is the radius of the base and l is the slant height. Since the problem states that the surface area is equal to the volume, we can set S equal to V and solve for h, the height of the cone.

Here's the step-by-step calculation:

S = V

πr² + πrl = V

πr² + πrl = πr²h

πr² + πrl - πr²h = 0

Combine like terms: πr²(1 - h) + πrl = 0

Divide both sides by πr to solve for h: 1 - h + l = 0

Subtract l from both sides: 1 - h = -l

Subtract 1 from both sides: -h = -l - 1

Multiply both sides by -1 to solve for h: h = l + 1

So, the height of the cone is h = l + 1.

Consider the graph and equation, y = 3x, that represent Alonso’s walking speed. What relationship is represented by this equation and graph? What would the points (3, 9) and (5, 15) represent? Explain.

Answers

Answer with explanation:

The equation, y=3 x,

y=Distance traveled

x =Total time

[tex]\frac{\text{Distance traveled}}{\text{Time}}=\frac{y}{x}=3\\\\ \frac{dy}{dx}={\text{Rate of change}}={\text{Velocity}}=3 {\text{unit of time}][/tex]

Also, in terms of straight line

Slope =3= uniform Velocity

Point (3,9) and (5,15) represents Distance traveled in 3 (unit of time) =9 unit ,and 15 unit=Distance traveled in 5 (Unit of time).

→Alonso is moving with uniform speed=3 (unit of time), as velocity remains constant in the entire process.

The graph of line y = 3x, y represents distance and x represents the time and the point (3,9) repersents the distance covered by Alonso's is 9 unit in 3 unit of time and the point (5,15) repersents the distance covered by Alonso's is 15 unit in 5 unit of time.

Given :

y = 3x , represents Alonso's walking speed.

If y = 3x represents Alonso's walking speed than y represents distance and x represent time. The graph of y = 3x is attached below.

The point (3,9) on the line (y = 3x) represent that at 3 unit of time the distance covered by Alonso's is 9 unit.

The ponit (5,15) on the line (y = 3x) represent that at 5 unit of time the distance covered by Alonso's is 15 unit.

Therefore, in the graph of line y = 3x, y represents distance and x represents the time and the point (3,9) repersents the distance covered by Alonso's is 9 unit in 3 unit of time and the point (5,15) repersents the distance covered by Alonso's is 15 unit in 5 unit of time.

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Paige measured 4/9 cup of onions, 3/4 cup of celery, and 2/7 cup of carrots. How many cups of vegetables did Paige measure out for her vegetable soup?

Answers

1whole 121/252
sorry if it's wrong

Answer:

Step-by-step explanation:

1) Make all the fractions have the same denominator.

- To do that you need to find the LCM (least common denominator) of 4, 9, and 7.

(look at image 1)

-Then apply the number you multiply the original denominator by to the original numerator

(look at image 2)

-Add the fractions together

(look at image 3)

determine which equations below when combined with the equation 3x - 4y equals two or form a system with no solutions. choose all that apply.

1. 2y=1.5x-2
2. 2y=1.5-1
3. 3x+4y=2
4. -4y+3x=-2

Answers

The equation given above is, 
           3x - 4y = 2
This can be expressed in slope-intercept form by transposing y to one side of the equation,
      y = (2 - 3x) / -4

Simplifying,
     y = 3x/4 - 1/2

The equations will form a system with no solution only if they have the same slope but different y-intercept.

(1) 2y = 1.5x - 2
      y = 3x/4 - 1
Since this has the same slope as the given equation but different intercept then, this is one of the answers.

(2) 2y = 1.5x - 1
      y = 3x/4 - 0.5

This is exactly the same as the given equation then, the equations will have infinite number of solutions.

(3) 3x + 4y = 2
      4y = (2 - 3x)
       y = -3x/4 - 1/2

The equations do not have the same slope so, this is not one of the answers.

(4) -4y + 3x = -2
     y = (-3x - 2) / -4
     y = 3x/4 - 1/2
This equation is also exactly as that which is given. Hence, they will have infinite number of solutions.
      

The correct answers are:

1. 2y=1.5x-2 ; and 4. -4y+3x=-2.

Explanation:

Using the first equation, we have the system

[tex]\left \{ {{3x-4y=2} \atop {2y=1.5x-2}} \right.[/tex]

The second equation can be written in standard form just as the first one.  To do this, we will subtract 1.5x from each side:

2y = 1.5x-2

2y-1.5x = 1.5x-2-1.5x

-1.5x+2y = -2

This makes our system

[tex]\left \{ {{3x-4y=2} \atop {-1.5x+2y=-2}} \right.[/tex]

To solve this, we will make the coefficients of x the same; we do this by multiplying the bottom equation by 2:

2(-1.5x+2y=-2)

-3x+4y=-4

This gives us the system

[tex]\left \{ {{3x-4y=2} \atop {-3x+4y=-4}} \right.[/tex]

We solve this by adding the two equations:

[tex]\left \{ {{3x-4y=2} \atop {+(-3x+4y=-4)}} \right. \\\\\\0+0 = -4\\0=-4[/tex]

There is no solution to this.

For the second system, we will follow the same process, subtract 1.5x from each side of the second equation:

2y=1.5x-1

2y-1.5x = 1.5x-1-1.5x

-1.5x+2y = -1

To make the coefficients of x the same, multiply the second equation by 2:

2(-1.5x+2y=-1)

-3x+4y=-2

We will add the two equations to solve:

[tex]\left \{ {{3x-4y=2} \atop {+(-3x+4y=-2)}} \right. \\0+0=0\\0=0[/tex]

This means that the equations are of the same line and there are infinite solutions.

For the third system, the coefficients are already the same.  We will cancel by subtracting the bottom equation from the top:

[tex]\left \{ {{3x-4y=2} \atop {-(3x+4y=2)}} \right. \\\\-4y-4y=2-2\\-8y=0\\\frac{-8y}{-8}=\frac{0}{-8}\\y=0[/tex]

Since we have a value for y, this has a solution.

For the last system, we will rearrange the second equation with the x term in front:

3x-4y=-2

Now we will subtract this from the first equation:

[tex]\left \{ {{3x-4y=2} \atop {-(3x-4y=-2)}} \right. \\-4y--4y=2--2\\0=4[/tex]

This has no solution.

Use complete sentences to describe why Set A = { X | X is an even whole number between 0 and 2} = ∅

Answers

basically Set A has all the even whole numbers between 0 and 2
and Set A is empty


that is because
any even number can be represented as 2n where n is an integer

find 2n where n is an integer and it is between 0 and 2
0<2n<2
divide both sides by 2
0<n<1
so n must be between 0 and 1
but that makes it not an integer, integers are like -3,-2,-1,0,1,2,3, they can't be fractions or decimals


it is because there are no even whole numbers between 0 and 2

Consider the Set A = {X | X is an even whole number between 0 and 2 } = [tex]\Phi[/tex].

Since, whole numbers are the set of numbers starting from zero upto infinity.

Even numbers are the numbers which are exactly divisible by '2'.

So, we have to find the even whole number between 0 and 2.

Since, only '1' is a whole number between 0 and 2 which is not an even number as '1' is not divisible by '2'.

Therefore, there is no even whole number between 0 and 2.

So, this set is empty.

Therefore, A = { X | X is an even whole number between 0 and 2} =  [tex]\Phi[/tex]

Travis runs an average of 25 miles per week give or take six miles. let m be the number of miles travis runs each week

Answers

The number of miles Travis runs each week is I m - 25 I = 6. 


Let  m be the number of miles Travis runs each week. Below is the solution:

I m - 25 I = 6


19 ⇔ 25 ⇔ 31

A commuter plane provides transportation from an international airport to the surrounding cities. one commuter plane averaged 280 mph flying to a city and 120 mph returning to the international airport. the total flying time was 3 h. find the distance between the two airports.

Answers

The distance between the two airports is 252 miles

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the distance between the two airports be = D

Now ,

Let the first airport be = A

Let the second airport be = B

And , the speed from Airport A to Airport B averaged = 280 mph

The speed from Airport B to Airport A averaged = 120 mph

The total time taken for the journey = 3 hours

So , the value of Time T = 3 hours

So , the equation will be

Time = Distance / Speed

Since , the distance between the airports remains the same on the journey,

Time = D/280 + D / 120

Substituting the values in the equation, we get

D/280 + D / 120 = 3

The LCM of 280 and 120 is 840 , so

( 3D + 7D ) / 840 = 3

On simplifying the equation , we get

Multiply by 840 on both sides of the equation , we get

10D = 2520

Divide by 10 on both sides of the equation , we get

D = 252 miles

Therefore , the value of distance D from the equation is 252 miles

Hence , The distance between the two airports is 252 miles

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Final answer:

By solving the equation 280t = 120(3 - t), we find that the time taken to fly to the city is 0.9 hours. Multiplying this by the speed of 280 mph, the distance between the two airports is determined to be 252 miles.

Explanation:

To find the distance between the two airports, we can use the formula distance = speed × time, but first, we need to find the time taken for each leg of the journey. Let t be the time (in hours) it takes for the plane to fly to the city at 280 mph. Hence, the time taken to return to the international airport at 120 mph will be 3 - t hours. We can establish the following equations based on this information:

To the city: 280t (since distance = 280 mph × t)

Returning: 120(3 - t) (since distance = 120 mph × (3 - t))

Since the distances are equal for both trips, we can set the equations equal to each other:

280t = 120(3 - t)

Solving for t, we get:

280t = 360 - 120t
400t = 360
t = 0.9

The time taken to fly to the city at 280 mph is 0.9 hours. Now we can find the distance:

Distance to the city = 280 mph × 0.9 h = 252 miles.

Therefore, the distance between the two airports is 252 miles.

what two numbers multiply to make 6 and also add to make 8

Answers

*This is an answer I found elsewhere on Brainly.*

(4+√10)(4-√10)

=16-4√10+4√10-10

=6

------------------------------

(4+√10)+(4-√10)

=4+√10+4-√10

=8

----------------------------

The numbers are:

4+√10, and 4-√10

A cab charges $1.45 for the flat fee and $0.55 for each mile. Write and solve an inequality to determine how many miles Ariel can travel if she has $35 to spend.

 $1.45 + $0.55x ≥ $35;
 x ≥ 61 miles
 $1.45 + $0.55x ≤ $35
; x ≤ 61 miles
 $0.55 + $1.45x ≥ $35;
 x ≥ 23 miles
 $0.55 + $1.45x ≤ $35; x ≤ 23 miles

Answers

Hello! So, the $1.45 is a one time fee. The $0.55 is what goes up per each mile driven. C and D are out, because the $1.45 does not multiply per mile. Ariel has $35 to spend and can't spend anymore than that. This problem written out is $1.45 + $0.55x <= 35.The answer is B.

Answer:

The correct option is:   $1.45 + $0.55x ≤ $35 ;  x ≤ 61 miles

Step-by-step explanation:

Suppose, the number of miles Ariel can travel [tex]=x[/tex]

The cab charges $1.45 for the flat fee and $0.55 for each mile. So, the total charges for [tex]x[/tex] miles [tex]=\$1.45+\$0.55x[/tex]

Given that, she has $35 to spend. That means, the total charges must be less than or equal to $35.

So, the inequality will be:   [tex]\$1.45+\$0.55x\leq \$35[/tex]

Solving the above inequality....

[tex]1.45+0.55x\leq 35\\ \\ 0.55x\leq 35-1.45\\ \\ 0.55x\leq 33.55\\ \\ x\leq \frac{33.55}{0.55}\\ \\ x\leq 61[/tex]

So, the number of miles Ariel can travel is 61 miles.



Find the following measure for this figure.

Volume =
A. 275π cubic units
B. 91 2/3π cubic units
C. 36 2/3π cubic units

Answers

[tex]V = \frac{1}{3} \pi r^2h \ \ \ \ \text{[r=radius, h=height ]} \\ \\ V = \frac{1}{3}*(5)^2*11 * \pi = \frac{1}{3}*25*11 * \pi = \frac{275}{3} \pi =91 \frac{2}{3} \pi \ units^3[/tex]

B.

The French helped the Patriot war effort by
A. attacking the main island of Britain to distract British forces.
B. keeping Spain out of the war.
C. going to war against hostile Native American groups. End of exam
D. providing a navy and military support.

Answers

France was happy to assist the United States, due both to an appreciation for the values behind the Declaration of Independence and a long-standing rivalry with the British.
To this end, the French provided the Patriots with funding, weapons, and even a small army unit to assist in the fight against the British. The French also provided a navy which proved to be instrumental in several battles. 

D) Providing a navy and military support. 

If h and k are constants and x^2+kx+7 is equivalent to (x+1)(x+h), what is the value of k?

Answers

Final answer:

To find the value of k when x^2+kx+7 is equivalent to (x+1)(x+h), we expand (x+1)(x+h), compare coefficients, and deduce that k is 8.

Explanation:

If h and k are constants and x^2+kx+7 is equivalent to (x+1)(x+h), we are looking for the value of k. To find k, we expand the right-hand side and then compare coefficients.

Expanding (x+1)(x+h) gives us x^2+hx+x+h, which simplifies to x^2+(h+1)x+h.

Comparing this to x^2+kx+7, we can see that k must be equal to h+1.

Since there is no h term in x^2+kx+7, we infer that h must be equal to 7. Consequently, k=h+1 which leads us to k=7+1.

Therefore, the value of k is 8.

twenty five is the quotient of a number y and 3.5

Answers

y/3.5= 25

(Hoped this help^)

which equation represents the table below? sal's and carries ages

Answers

The answer would be C

Answer:

c = s + 4    

Step-by-step explanation:

We have given the Sal's and Carrie's ages. We need to represents the table below using equation.

Sal    =    3     5    8    13   15

Carrie =   7    9    12   17    19

Out of given options, equation (3) should be followed. We can proof it as :

c = s + 4

Putting one by one the ages of Sal in the above equation to get Carrie's age.

1. c = 3 + 4 = 7

2. c = 5 + 4 = 9

3. c = 8 + 4 = 12

4. c = 13 + 4 = 17

5. c = 15 + 4 = 19

Hence, the correct option is (c).

three times a number plus 16

Answers

To solve this, we simply need to break down the words and turn each part into an equation.

"Three times"
This shows that we will be multiplying 3 and something.
3*

"a number"
This shows that the number we will be multiplying 3 by is "n," which represents a number.
3*n or 3n

"plus 16"
This shows we will be adding 16 to the rest of the equation.
3n+16

Using the logic above, we can see that the equation to represent this is 3n+16.
Final answer:

The phrase 'three times a number plus 16' translates to '3x + 16' in mathematical terms, where 'x' represents any number.

Explanation:

The phrase 'three times a number plus 16' can be converted into an algebraic expression. In mathematical terms, 'a number' is usually represented by the letter 'x'. 'Three times a number' can be written as '3x'. 'Plus' is represented by the '+', so 'three times a number plus 16' is written as '3x + 16'.

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Make the following conversion.

0.075 m = _____ cm

Answers

7.5 cm you have to multiply the (m) by a hundred or move the decimal two places to the right.

0.075 m is 7.5 centimeters.

What is unit conversion?

A unit conversion expresses the same property as a different unit of measurement.

Given that, convert 0.075 m into cm

We know that, 1 meter = 100 centimeters

0.075 meter = [(100) × 0.075] centimeter

0.075 meter = (100 × 0.075) centimeter

= (100 × 75/1000) centimeter

= (7500/1000) centimeter

= (75/10) centimeter

= 7.5 centimeter.

Hence, 0.075 m is 7.5 centimeters.

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60/5(7-5)=2

I got 24, but some other people got 6.

60/5(7-5) - P
60/5(2) - M/D (left to right)
12(2) - M/D (left to right)
=24

Answers

The expression we have is:
60 / [5(7-5)]

Now, we have a certain order of operations that we need to follows:
first we will get rid of the brackets and then we will solve the division

We have 2 brackets here to get rid of, 
for the first bracket, we have 7-5 which is equal to 2
The expression now becomes:
60 / [5(2)]
We have 5(2) = 10
So the expression now is:
60 / 10

We will finally do the division:
60/10 = 6
Other Questions
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