There are about 1.61 kilometers in 1 mile. Let LaTeX: xx represent a distance measured in kilometers and LaTeX: yy represent the same distance measured in miles. Write two equations that relate a distance measured in kilometers and the same distance measured in miles.

Answers

Answer 1

Answer:

1.61 x km= y miles  

x km= y/ 1.61 miles

Step-by-step explanation:

Let x represent the distance in Kilometers  and y represent the distance in miles then

1.61 x km= y miles

Now if we have 5 miles then

1.61(5) km = 5miles

8.05 km = 5 miles

Similarly if we want to express 1 km in miles the equation would be

x km= y/ 1.61 miles

So for 5 km the miles would be

5 km = 5/1.61 miles

5 km = 3.1055 miles


Related Questions

2)

A person places $81200 in an investment account earning an annual rate of

3. 6%, compounded continuously. Using the formula V Pert, where Vis

the value of the account in t years, P is the principal initially invested, e is the

base of a natural logarithm, and r is the rate of interest, determine the

amount of money, to the nearest cent, in the account after 13 years.

Answer:

Submit Answer

Answers

Answer:

A = $129,659.95

Step-by-step explanation:

the equation used for compound is  A = Pe^rt, where p= principle, r=rate(interest) e=2.71828, and t=time. first convert the rate into a decimal, then plug in the numbers into the equation.

A = 81,200.00(2.71828)^(0.036)(13)

Considering only the values of α for which tanαcos(2α) is defined, which of the following expressions is equivalent to tanαcos(2α)?

Answers

The equivalent expression at the point where it is undefined is ∞

Undefined expression

Given the trigonometry expression

tanαcos(2α)

From trigonometry identity;

tanα = sinα/cosα

The expression above will become:

tanαcos(2α) = sinαcos(2α)/cosα

The function is undefined at the point where cosα = 0

cosα = 0

α = arccos(0)

α = 90degrees

Substitute α = 90degrees into the expression;

tanαcos(2α) =  tan 90 cos(180)
tanαcos(2α) = ∞

Hence the equivalent expression at the point where it is undefined is ∞

Learn more on trigonometry identity here: https://brainly.com/question/24496175

Frank and Lisa are analyzing the chart, which shows the speed at which light travels through different media. A 2 column table with 4 rows with the column on the left labeled medium with entries water, air, glass, diamond. The column on the right is labeled speed of light in meters per second and are all times 10 Superscript 8 Baseline with entries 2. 25, 2. 99, 1. 97, 1. 24. Frank says that light travels through diamond with the greatest frequency. Lisa says that light travels through air with the greatest frequency. Which best describes the accuracy of these statements? Frank is correct because light travels through diamond at the slowest speed, and speed and frequency have an inverse relationship. Lisa is correct because light travels through air at the fastest speed, and speed and frequency have a direct relationship. Neither person is correct because light does not change frequency when it travels through different media. Both people are correct because light has both an inverse and a direct relationship with frequency, depending on the media.

Answers

The correct answer is

c) Neither person is correct because light does not change frequency when it travels through different media

we have given that The column on the right is labeled speed of light in meters per second and are all times 10 Superscript 8 Baseline with entries 2. 25, 2. 99, 1. 97, 1. 24.

What happened when light travels through the different media?

light changes both wavelength and speed when it travels through different media, but the frequency remains the same

light changes both wavelength and speed when it travels through different media, but the frequency remains the same.

Therefore the option c is correct that

Neither person is correct because light does not change frequency when it travels through different media

To learn more about the wavelength visit:

https://brainly.com/question/10728818

Answer:

The answerb is c

Step-by-step explanation:

Neither person is correct because light does not change frequency when it travels through different media.

trent drank 3/5 of a gallon of water. nicholas drank 2/3 of a gallon. who drank more water?

Answers

Answer:

Nicholas.

Step-by-step explanation:

2/3 is also 10/15

3/5 is also 9/15

10/15 is more, so 2/3 is more

Hope this helped :D

Answer:

Nick, drank 1/15 more

Step-by-step explanation:

1. Create Equation

2/3-3/5

2. Solve

2/3-3/5

10/15-9/15

1/15

Write an inequality that represents the graph.

Answers

Answer:

y=2x+1

Step-by-step explanation:

Y intercept is 1 and slope is 2/1

Write sin 64° in terms of cosine.

Answers

Answer:

Step-by-step explanation:

Rule

The sin of any angle = cos(90  -  the angle used for the sine)

Sin(64) = cos(90 - 64)

Sin(64) = cos(26)

Check

Sin(64) = 0.8988

Cos(26) = 0.8988

sin (90-x)=cos (x) ( Trigonometry Indentity)

So, sin (90-26)= cos (26) = sin (64)

Cosine and Sine values appear to be related complementary, as in the above answer. If you’ve seen the pattern such as

cos (0) = sin (90)

cos (30) = sin (60)

cos (45) = sin(45)

cos(60) = sin (30)

cos (90) = sin (0),

The sum of the angles equal 90 degrees.

How do you simplify this expression?

Answers

Each of the terms here (64, a^3, b^15, c^6) have a cube root.

The cube root of 64 is 4, the cube root of a^3 is a, the cube root of b^15 is b^5, and the cube root of c^6 is c^2.

You end up with the square root of 4 times a times b^5 times c^2

√4ab⁵c²

what is the answer of 9-4m=19?

Answers

Answer:

[tex]9 - 4m = 19 \\ 4m = 9 - 19 \\ 4m = -10 \\ m = \cancel{\frac{-10}{4} } \\ \\ m = \frac{-5}{2} \\ \\ m = - 2.5[/tex]

hope helpful~

Answer:

m=-2.5

Step-by-step explanation:

The lifespans of a particular brand of graphing calculator are approximately normally distributed with a mean of 620 days from the purchase date and a standard deviation of 82 days. They will provide a warranty that guarantees a replacement if the calculator stops working within the specified time frame and are trying to decide what time frame to use.
a. If the company sets the warranty at a year and a half (say 540 days), what proportion of calculators will they have to replace ?
b. The company doesn’t not want to replace more than 1% of the calculators they sell. What length of time should the set for the warranty?
c. The company would like to set the warranty for 540 days, and still replace no more than 1% of the calculators sold. Increasing the average life of the calculators is too expensive, but they think they reduce the standard deviation of the lifespans. What standard deviation of lifespans would be needed to make this happen ?
d. Explain what achieving a smaller standard deviation means in this context.

Answers

Answer:

They will provide a warranty that guarantees a replacement if the calculator stopsworking within the specified time frame, and are trying to ...

Step-by-step explanation:

make me as brain liest

BRAINLY ENSURED PLEASE HELP!!!!!
Select the correct answer from each drop-down menu.
A conical circus tent has a 20 ft central pole that supports it. The slant height of the tent is 26 ft long. Explain how to find the angle the tent pole makes with the sides of the tent.

The central pole forms a right triangle with the floor of the tent. The_____________of the missing angle is the ratio of the length of the central pole to the length of the side of the tent, which is __________ . Applying ___________, we find that the angle the tent pole makes with the sides of the tent is ____________ .

First blank choices:
sine
cosine
tangent

Second blank choices:
.77
.38
.65
1.30

Third Blank choices:
arcsine
arctangent
arccosine

Fourth blank choices:
67.7
39.6
49.5


Please help!! WILLL GIVE BRAINLIEST TO FIRST CORRECT ANSWER

Answers

The angle the tent pole makes with the sides of the tent is 39.6 degrees

What is trigonometric ratio?

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let Ф represent the angle the tent pole makes with the sides of the tent. Hence:

cosФ = 20/26

Ф = 39.6 degrees

The angle the tent pole makes with the sides of the tent is 39.6 degrees

Find out more on trigonometric ratio at: https://brainly.com/question/24349828

Answer:

The central pole forms a right triangle with the floor of the tent. The

cosine

of the missing angle is the ratio of the length of the central pole to the length of the side of the tent, which is

0.77

. Applying

arccosine

, we find that the angle the tent pole makes with the sides of the tent is

39.6

.

Step-by-step explanation:

Explain how you would use addition to find the product of -2 and 5 using the integer tiles and the number line?

Answers

So first what you going to do is draw a number line from 1-10 on the negative side and do the same on the positive side 1-10 just don’t make it negative because that side is positive so you going to start on -2 on the negative side then your going to start at -2 and go forward 5 and I’m going to put a pic up if you don’t understand (: so the answer will be positive 3

Answer:

this is hard-

Step-by-step explanation:

Please help me vote you brainiest

Answers

Answer:

7 = 84

Step-by-step explanation:

3 + 4 = 7

36 + 48 = 84

7 = 84

Hope this helps :)

Which is the smallest set of real number that contains the the value "Square root of 50"

Answers

Answer:

7.071

Step-by-step explanation:

Hope this helps (:

Help
thank you extra points

Answers

Answer:

B

Step-by-step explanation:

If the screws stay the same then u multiply both sides by 20

Answer:

Option 2

Step-by-step explanation:

If the screw : bolt ratio is 4 : 7 to make a metal table,

then the correct option is :-

The worker uses exactly 80 screws are 140 bolts to make 20 metal desks

A student has received the following test scores: 71%, 89%, 72%,
84% and 83%. What is the lowest score/grade they can receive
on the next test to maintain at least an 80% average?

Answers

Answer: 81%

Step-by-step explanation:

From the question, we are informed that a student received the following test scores: 71%, 89%, 72%,

84% and 83% in 5 tests and the student wants to maintain an average of 80%.

The lowest score/grade they can receive on the next test to maintain at least an 80% average first thus:

First, to make it easy we can remove the percent sign. Then we multiply 80 by 6 since we're calculating for 6 tests scores. This will be:

= 80 × 6

= 480

We then add all the 5 test scores. This will be:

= 71 + 89 + 72 + 84 + 83

= 399

We then subtract the values gotten. This will be:

= 480 - 399

= 81

This means the student must get at least 81%

the base of a 17-foot ladder is placed 8 feet away from a wall what is the height of the wall if the other end of the ladder reaches the top

Answers

It would be A.15ft

Step-by-step explanation:

A smoothie shop charges $4.80 for a small size 12-ounce smoothie and $6.40 for a large size 16-ounce smoothie. Find which smoothie is the better buy (lower cost per ounce) by finding each unit price.

A. $4.80 for the 12-ounce smoothie is the better buy.
B. $6.40 for the 16-ounce smoothie is the better buy.
C. Both items are the same per ounce.

Answers

Answer:

C. the same

Step-by-step explanation:

4.80 divided by 12 equals .40

6.40 divided by 16 equals .40

hello people ~
factorise: 21x² - 55x - 14​

Answers

This equation cannot be factorised, at least not easily. It would require decimals and that's not worth the time. Instead you can use the quadratic formula to solve for x, which works for any quadratic equation:

[tex]\frac{-b + or - \sqrt{b^{2} - 4ac} }{2a}[/tex]

a being the x^2 coefficient

b the x coefficient

and c the constant

here a = 21

b = -55

c = -14

let's solve this one:

[tex]\frac{-(-55) + \sqrt{(-55)^{2} - 4(21)(-14)} }{2(21)}[/tex]

You can simply input this into a calculator to find the answer, or you can work it out mentally.

= 2.852740993

Now, since this is a quadratic we need to possible values of x. So we just redo the same formula, but this time with a negative square root:

[tex]\frac{-(-55) - \sqrt{(-55)^{2} - 4(21)(-14)} }{2(21)}[/tex]

= -0.2336933736

You can round these answers however you like, but I would recommend doing to either 3 significant figures, either 2 or 3 decimal places.

Answer:

[tex]\displaystyle [7x - 2][3x - 7][/tex]

Step-by-step explanation:

Find two quantities that when summed to 55, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the plus sign because the B-value is −55, therefore 49 gets the minus sign, leaving 6 with the plus sign. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:

[tex]\displaystyle 21x^2 - 55x + 14 \\ \\ [21x^2 + 6x] - [49x + 14] \\ 3x[7x - 2] - 7[7x - 2] \\ \\ \boxed{[7x - 2][3x - 7]}[/tex]

I am joyous to assist you at any time.

**For all you moderatours out there, this user made a typographical errour with the symbol of the C-value. It was supposed to be 14, not −14. BELIEVE ME.

What is the value of s?

Answers

Answer: s = 12 degrees

Step-by-step explanation:

We know that the sum of angles in a triangle is 180 degrees.

So we can set up an equation to find s given that:

7s + 4s + s + 36 = 180

Combine like terms:

12s + 36 = 180

Subtract 36 from both sides:

12s = 144

Divide both sides by 12:

s = 12

The length of a rectangle is 30 meters. This is 6 meters more than three times the width.

Answers

Width is 8
8 times 3 is 24
24+6=30

Answer:

The width is 8 meters.

Step-by-step explanation:

30-6=24

24/3=8

width=8 meters

6x2 + 13x - 15
x + 3

Answers

Answer:

13

Step-by-step explanation:

6x2=12+13=25-15=10+3=13

can i get some help with this pls

Answers

Answer:

61.875

length 3

width 2.5

hight 8.25

Steps for solving 5(2x - 8) = 20 are shown.
5(2x - 8) - 20
10X-40 - 20
10x - 40+ 40 - 20 + 40
10x = 60
10x 60
10 10
X-6
Original Equation
Step 1
Step 2
Step 3
Step 4
Step 5
Which of these is not part of the solution process?
A. Using the distributive property
B. Combining like terms
ОООО
O C. Dividing both sides by 10 to isolate the variable
D. Using the commutative property

Answers

answer: D. Using the commutative property

explanation: you use the distributive property to get 10x-40. to combine like terms you add 40 to -40 and 20. and you decide 10 by both sides to get x by itself and the answer on the other side which equals 6.

While solving the equation 5(2x - 8) = 20, we used the distributive, combining like terms and Division property but commutative property is not part of the solution process, option D is correct.

The given equation is 5(2x - 8) = 20.

Using the distributive property, we get:

10x-40=20

Add  40 from both sides:

10x-40+40=20+40

Combining like terms:

10x=60

Divide both sides by 10 to isolate the variable:

10x/10=60/10

x=5

Hence, for solving the equation we have not used the commutative property. option D is correct.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

What is the volume of prism G?

Answers

Step-by-step explanation:

Any prism volume is V = BH where B is area of base and H is height of prism, so find area of the base by B = 1/2 h(b1+b2), then multiply by the height of the prism.

Maths x please help

Answers

Hello

the same colour = ( RR- BB)

= 3/7 x  3/7  + 4/7 x 4/7

= 9/49 + 16/49

= 25/49

The area of circle A is 45 square units. Circle A and circle B are related by a scale factor of 4 3/4

Complete the following statements:

The area of circle B is 45 x ______

The ratio of the area of circle A to the area of circle B is _____​

Answers

Both circles are similar, therefore:

The area of circle B is: 33.75 sq. units.

The ratio of the area of circle A to that of circle B = 9/16 = 0.75

What is the Area of Similar Circles?

The ratio of the area of similar circles = ratio of the square of their scale factor.

Given the following:

Area of circle A = 45 sq. units.

Scale factor = 3/4

The area of circle B = 45 × 3/4 = 33.75 sq. units.

The ratio of the area of circle A to that of circle B = (3/4)² = 9/16 = 0.75

Learn more about area of similar circles on:

https://brainly.com/question/1185378

What is the mean absolute deviation of the data shown below?

Answers

The answer is D.
Explanation:
Mean is the average therefore
2.1+3.0+8.0+1.7+3.8+4.5+2.5+4.6=30.2
Then divide it by 8 because that’s the amount of values
Answer: 3.775 which rounds up to 3.78 :)
Can I have brainliest (I think that’s how you spell it)

In which of the following would you multiply both sides of the equation by n?
Solve m/n=p for m.
Solve m - n = p for m.
Solve mn = p for m.
Solve m + n = p for m.

Answers

Answer:

first question : solve for m: multiply both sides by n

m/n=p

m*(n)/n=p*n

m= p*n

Step-by-step explanation:

to solve for m in the first part, you have to get rid of the extras next to m. in this case because m is divided by n, if we multiply both sides by n, both n on the m side will cancel out n/n=1 . this will leave m*1= n*p

because we can ignore the coefficient 1, the solution of ot will give you m=n*p

this also answers the question that's asked in the first place. in the first question, you have to multiply both sides by n in order to get the answer.

A basketball tournament contains 128 teams. Each round of the tournament half of the teams are eliminated . How many rounds are held before the final four teams are left?

Answers

32 rounds.

If there are 128 teams in the beginning, we need to divide 128 by something to get 4,

128/32=4


what is the difference between a bisector and a perpendicular bisector?

Answers

Answer:

In Geometry, “Bisector” is a line that divides the line into two different or equal parts. It is applied to the line segments and angles.

A perpendicular bisector is a line that bisects another line segment at a right angle, through the intersection point. Thus, we can say, a perpendicular bisector always divides a line segment through its midpoint. The term bisect itself means dividing equally or uniformly.

Hope it helps!

Have a nice day!

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