A nautical mile equals 6,076 feet, and a land mile equals 5,280 feet. How many feet longer is the nautical mile?

Answer:

60 seconds.

Step-by-step explanation:

We have been given that Maria train can go around the track in 10 seconds. Alma train can go around the track in 12 seconds.

To find the number of seconds after which both trains will cross the finish line together the first time we will find LCM of 10 and 12. LCM will give us the smallest positive integer that is divisible by both 10 and 12.  

Multiples of 10 are: 10, 20, 30, 40, 50, 60, 70,...    

Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,..  

We can see that least common multiple of 10 and 12 is 60, therefore, it will take 60 seconds for both trains to cross the finish line together the first time.

Answer: 3 burritos

Step-by-step explanation:

Fraction of tacos = 1/6

Fraction of empanadas = 25% = 1/4

Fraction of tamales = 1/3

Fraction of burritos = 1 - (1/6 + 1/4 + 1/3)

It should be noted that the lowest common multiple for 6, 4 and 3 is 12.

Fraction of burritos = 1 - (1/6 + 1/4 + 1/3)

= 1 - (2/12 + 3/12 + 4/12)

= 1 - 9/12

= 3/12 or 1/4

The number of burritos bought by Kelly will now be:

= 1/4 × 12

= 3 burritos

Answer:

A) Godric can have maximum of four $20 bills.

Therefore Godric can not have five $20 bills.

B) Equation is:

[tex]5n+20(11-n)=115[/tex]

[tex]n=7[/tex]

Step-by-step explanation:

Let the number of $5 bills with Godric = [tex]n[/tex]

Total number of bills = 11

Therefore, number of $20 bills = (11 - [tex]n[/tex])

Total amount of money in form of $5 bills = $[tex]5n[/tex]

Total amount of money in form of $20 bills = $[tex]20(11-n)[/tex]

Total money with Godric is $115.

[tex]\therefore 5n+20(11-n)=115\\\Rightarrow -15n=115-220\\\Rightarrow n=7[/tex]

Number of $5 bills present with Godric = 7

Number of $20 bills present with Godric = 11 - 7 = 4

A) Godric can have maximum of four $20 bills.

Therefore Godric can not have five $20 bills.

B) Equation is:

[tex]5n+20(11-n)=115[/tex]

Solution is [tex]n=7[/tex]

Answer:

x^5/y for x

Step-by-step explanation:

Answer:

The answer is C   100

Step-by-step explanation:

Answer:

Step-by-step explanation:

first, we need to model an expression, the solve, say

let the total amount charged by taxi be y

and let the number of kilometers be x

y=2x+9

given that uber charges $5

then the number of taxi trips that will equal urber charge is

y=2x+9=5

5=2x+9

solving for x we have

2x+9-5=0

2x+4=0

2x=-4

x=-2

x=2 (x cannot be negative)

Answer:

B..

lol

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

21−7x=−7x−21−4

21−7x=−7x−25

21=−25

No solution

Answer:  one solution  x + 3 = 5   x = 2   no other other value for x is possible

No solution:  (x + 3) = 2(x +3)  

Infinitely many solutions:  x+3 = 3 + x

Step-by-step explanation:

why (x + 3) = 2(x +3)  has no solution. Can you solve?

x+3=2x+6 -x=3 x=-3 substute -3 for x

(-3)+ 3)= 2[(-3) +3]

-3+3 = -6 +3

0 = -3 False!

x+3 = 3 + x  has infinitely many solutions. Substitute any number for x, and the equation is true   (5)+3=3+(5) 8=8 .  11111+3 =3+11111  11114=11114

An equation can either have: one solution, no solution, or infinitely many solutions. Some equations that can be derived from [tex]x + 3[/tex] and their solution type are:

Given that:

[tex]Expression = x + 3[/tex]

Equation with one solution

For an equation to have one solution. then the equation is consistent and dependent.

For instance:

[tex]x + 3 = 2x[/tex]

Collect like terms to solve for x

[tex]2x -x = 3[/tex]

[tex]x =3[/tex]

This means that [tex]x =3[/tex] is the only solution to [tex]x + 3 = 2x[/tex].

Hence, [tex]x + 3 = 2x[/tex] has one solution

Equation with no solution

For an equation to have no solution. then both sides of the equation are not equal

For instance:

[tex]x + 3 = x[/tex]

Collect like terms to solve for x

[tex]x- x = 3[/tex]

[tex]0 = 3[/tex]

Because 0 is not equal to 3, then [tex]x + 3 = x[/tex] has no solution

Equation with infinitely many solutions

For an equation to have infinitely many solutions. then both sides of the equation must be the same thing

For instance:

[tex]x + 3 = 2(0.5x + 1.5)[/tex]

Open the bracket

[tex]x + 3 = x + 3[/tex]

Collect like terms

[tex]x - x = 3 - 3[/tex]

[tex]0 = 0[/tex]

Because both sides are the same (i.e. 0), then [tex]x + 3 = 2(0.5x + 1.5)[/tex] has infinitely many solutions

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Answer:

So the Y-intercept in this is -5.

put the first point on -5 in the Y line.

Step-by-step explanation:

Y-intercept: -5

Answer:

It takes 31 Pounds for UPS and FedEx to cost the same?

Step-by-step explanation:

The equation for the cost of a UPS shipping:

7 + .20x

to check the answer, you can do : 7 + (.20 x 31)

= $14.00

The cost for the cost of the PedEx shipping is:

5 + .30x

to check the answer, you can do : 5x + (.30 x 31)

= $14.00

Answer:

we cant really answer cause we cant see the 2 squares

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

step 1: Divide 1/150 by 1/120. (You should get 0.8)

step 2: convert 0.8 into a fraction over 10. (8/10)

step 3: simplify that fraction by dividing 8/10 by 2, which will give you your final answer, 4/5.

The required square miles that Xavier mow 4 / 5. Option B is correct.

Given that,
For every 1/150 square mile Xavier mows, Boa mows 1/120square miles, how many square miles does Xavier mow for every 1 square mile is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Ration of Xavier to Boa = 1 / 150  /  1 / 120
                                       = 120 / 150
                                       = 12 / 15
                                        = 4 / 5

Thus,  the required square miles that Xavier mow 4 / 5. Option B is correct.

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Answer:

8X = 96 inch

Step-by-step explanation:

How its in the draw you have this situation then the equation that model is the next one:

2*(3X) + 2*X = 96 inch

6X + 2X = 96 inch

8X = 96 inch

We must multiply due that there is two sides that measure the same.

Answer:

8X = 96 inch

Step-by-step explanation:

Answer:

(-2, 3) And you're not a dummy!

Step-by-step explanation:

x + 3(3) = 7 (multiply 3 times 3)

x + 9 = 7 ( subtract 9 on both sides)

x = -2

It already gave you y

y = 3

HOPE THIS HELPED!!

Answer:

[tex] \frac{\frac{1}{5}}{\frac{15}{4}} [/tex]

Step-by-step explanation:

Given:

Miles a van travel = [tex] 3\frac{3}{4} [/tex] miles

Gallons of gas required = [tex] \frac{1}{5} [/tex] gallon of gas

Required:

Unit rate in gallons per mile

SOLUTION:

Unit rate in gallons per mile = (gallons of gas)/miles

Unit rate = [tex] \frac{\frac{1}{5}}{3\frac{3}{4}} [/tex]

Unit rate = [tex] \frac{\frac{1}{5}}{\frac{15}{4}} [/tex]

The fraction that represents the unit rate in gallons per mile = [tex] \frac{\frac{1}{5}}{\frac{15}{4}} [/tex]

Answer:

7/2 and 1/3

Step-by-step explanation:

Look for the fraction that has the number of miles in the numerator and the number of gallons in the denominator

Answer:

The answer is 3+ 1.25s+ .5t= c

in which:

s is the number of scoops

t is each topping

c is the total cost

Answer: A) -1

Step-by-step explanation: Parallel slopes are always the same, therefore a slope that is -1 is parallel to another slope that is equal to -1.

Answer:

a7=-1

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences can be identified because each term n is obtained by adding or subtracting a fixed number to the previous term n-1.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

We know: a12=29, a16=53, now we use the above equation for n=12 and n=16:

[tex]a_1+(12-1)r=29[/tex]

[tex]a_1+(16-1)r=53[/tex]

Simplifying both equations:

[tex]a_1+11r=29[/tex]

[tex]a_1+15r=53[/tex]

Subtracting:

[tex]4r=53-29=24[/tex]

Solving:

r=24/4

r=6

The 7th term can be found as 9 terms before the 16th:

[tex]a_7=a_{16}-9r[/tex]

[tex]a_7=53-9*6=53-54=-1[/tex]

Thus: a7=-1

Answer:

$ 15680

Step-by-step explanation:

From the question given above, we were told that Karen earn a commission of $ 140 per course.

To know her commission for selling 112 courses, we simply do the following:

Karen earn a commission of $ 140 for 1 course.

Therefore, she will ear $ X for 112 courses i.e

$ X = $ 140 × 112 course/ 1 course

$ X = $ 15680

Therefore, Karen commission for selling 112 courses is $ 15680

Answer:

The Answer for a is $175

Step-by-step explanation:

Thats all I know sorry

Answer:

The answer is "Option C".

Step-by-step explanation:

The numbering of the choice was missing, which is defined in the attached file. please find it.

by using the straight corner to create a vertical line between both the places where every pair of orbits cross and the next step, throughout the perpendicular bisector construction of the segment after hitting a pair of arcs of each endpoint of the reference line.

Answer:

.95 per cup

Step-by-step explanation:

There are 4 cups per quart.

But this is 2 quarts so we are using 8.

divide 7.28/8  is .9475

Answer:

A = W/L

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

-3

I think hope this helps.

Answer:

y = 2- [tex]\frac{5x}{2}[/tex]

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

m=-3

Step-by-step explanation:

Answer:

[tex]d=0.364\ g/cm^3[/tex]

Step-by-step explanation:

It is given that,

Mass of benzene, m = 0.1 L

Mass, m = 36.4 g

We know that, 1 L = 1000 cm³

0.1 L = 100 cm³

The density of an object is equal to its mass divided by its volume. So,

[tex]\rho=\dfrac{m}{V}\\\\=\dfrac{36.4\ g}{100\ cm^3}\\\\=0.364\ g/cm^3[/tex]

So, the density of benzene is [tex]0.364\ g/cm^3[/tex].

Answer:

B.X+2

Step-by-step explanation:

-2^3+12X-2^2+9X-2-22

-8+48-18-22

40-40=0

The following is a factor of the polynomial is x+2.

Factor theorem is a special kind of the polynomial remainder theorem that links the factors of a polynomial and its zeros.

The factor theorem removes all the known zeros from a given polynomial equation and leaves all the unknown zeros. The resultant polynomial has a lower degree in which the zeros can be easily found.

As per the factor theorem, (y – a) can be considered as a factor of the polynomial g(y) of degree n ≥ 1, if and only if g(a) = 0. Here, a is any real number. The formula of the factor theorem is g(y) = (y – a) q(y). It is important to note that all the following statements apply for any polynomial g(y):

Given:

f(x)=x³ + 12x² + 9x - 22

To the above equation (x + 2) is a factor of x³ + 12x² + 9x - 22.

As,

f(-2)= (-2)³ + 12(-2)² + 9(-2) - 22

f(x)= -8 + 48 -18 -22

f(x)= 40 -40

f(x) = 0

Hence, the factor of x+2

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