Landon and Eduardo both leave the coffee shop at the same time, but in opposite directions. If Eduardo
travels 9 mph faster than Landon and after 5 hours they are 135 miles apart, how fast is each traveling?

Answers

Answer 1

Answer:

Step-by-step explanation:

let the speed of Landon=x

speed of Eduardo=x+9

5x+5(x+9)=135

divide by 5

x+x+9=135/5=27

2x+9=27

2x=27-9

2x=18

x=18/2=9

speed of Landon=9 mph

speed of Eduardo=9+9=18 mph


Related Questions

How do I solve this? (3^0y)^2x2(xy)^0

Answers

Answer:

(y ^2 ) (x ^2)

Step-by-step explanation:

Find sin X, sin Z, cos X, and cos Z. Write each answer as a simplified fraction.

Answers

Answer:

Find the answers below

Step-by-step explanation:

Using m<X as the reference angle

Opposite YZ = 7

Adjacent  XY = 10

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinX = opp/hyp

sinX =YZ/XZ

sinX = 7/√149

For cos X

cos X = adj/hyp

cos X =10/√149

Using m<Z as reference angle;

Opposite XY = 10

Adjacent  YZ = 7

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinZ = opp/hyp

sinZ =10/√149

sinZ = 7/√149

For cos Z

cosZ = 7/√149

Two of the volleyball team’s coaches and three of the players’ parents would like to
make speeches during the fundraiser. The principal wants the total time for speeches
to be under 30 minutes. Explain how to write an inequality to find the possible average
length of each speech.

Answers

Answer:

5x < 30

Step-by-step explanation:

coaches = 2x

parents = 3x

total time = under 30 mins

2x + 3x < 30

5x < 30

x < 6

Answer:

Sample response: Choose a variable to represent the average speech length. If x is the variable, then the inequality would be (2+3)x < 30,="" or="">x < 30. The 2 + 3, or 5, represents the total number of people making speeches. Each one would last an average of x minutes, so we want the product of x and (2+3) to be less than 30, the time limit set by the principal.

For those who wanted the sample response.

Use the discriminant to determine how many and what
kind of solutions the quadratic equation x2 - x = 1/4
has.

Answers

Answer:

Step-by-step explanation:

x²-x-1/4=0

or 4x²-4x-1=0

disc.=(-4)²-4(4)(-1)=16+16=32>0 ,not a perfect square.

Roots are real,different and irrational.

It has 2 roots or 2 solutions.

Answer:

Step-by-step explanation:

x² - x = 1/4

[tex]x^{2}-x -\frac{1}{4}=0\\\\a = 1 \\\\b = -1\\\\c = \frac{-1}{4}\\\\D = b^{2}-4ac\\\\ = (-1)^{2}-4*1*\frac{-1}{4}\\\\= 1 + 1\\= 2[/tex]

D = 2 > 0

So, this equation has real roots

7. A gym is offering a deal to members. Customers can sign up by paying a
registration fee of $100 and $28 per month. The function that models this
situation is c(m) = 28m + 100, where m is the number of months and c(m) is
the cost of becoming a member.

Answers

Answer:

I dont know

Step-by-step explanation:

A 25-degree angle is an __ angle. which angle
A. obtuse
B. triangle
C. acute
D. straight

Answers

C. Acute-angles smaller than 90

Find the values of x and y. State with postulate/theorem you used.

Answers

I'M FROM THE PHILIPPINES;)

Given f(x) and g(x) = k-f(x), use the graph to determine the value of k.
f(x)
g(x)


A. -5
B. -1/5
C. 1/5
D. 5

Answers

Answer:  Choice A)  -5

===========================================================

Explanation:

The point (-2,2) is on the red f(x) line. This point is marked in black.

It corresponds to the point (-2,-10) on the g(x) blue line.

The point (-2,2) moves to (-2,-10). The x coordinate stays at x = -2. The y coordinate has gone from y = 2 to y = -10. This is a jump of "times negative 5".

-5*2 = -10

So we see that k = -5

Saying g(x) = k*f(x) is the same as g(x) = -5*f(x)

Recall that y = f(x), so saying -5*f(x) is really saying "whatever the y coordinate is on f(x), multiply it by -5 to get the corresponding y coordinate on g(x)".

Answer:

-5

y = -x + 4 (red)

y=5x -20 (blue)

-5*(-x+4) = 5x-20

Step-by-step explanation:

HELLPPPPPP PLEASEEE!!!

Answers

Answer:

Step-by-step explanation:

The first term is 2

Therefor t₁ = 2

Each aditional term is 5 times the previous term

That's the second  choice

find the area of this figure 15ft 10ft 10ft 5

Answers

Answer:

150 feet2 50 feet I hope this helps!

Step-by-step explanation:

Tami spins a spinner with 7 sections. The sections are numbered 1 through 7 and all sections are the same size

Answers

Answer:

1 / 7

Step-by-step explanation:

Number of sections on spinner = 7

Section is numbered 1 to 7

Since the probability of landing on each section is the same:

Probability that spinner lands on 4 :

Probability, p = Required outcome / Total possible outcomes

Required outcome = landing on 4 = 1

Total possible outcomes = (1 to 7) = 7

P(landing on 4) = 1 /7

find the area D (1,3) F (-4,-3) E (4, -3)​

Answers

Answer:

Step-by-step explanation:

FE=4+4=8

Altitude=3+3=6

area=1/2×FE×6=1/2×8×6=24 sq. units.

or

area=1/2×

I 1   3|

|-4 -3|

| 4 -3|

|  1  3|

=1/2[(-3+12)+(12+12)+(12+3)]

=1/2[9+24+15]

=1/2[48]

=24 sq. units

A 12 pack of lemonade costs $5.40.how much do each lemonade costs?

Answers

Each lemonade costs about $2.22. You can achieve this answer by dividing 12 by 5.40.
You divide $5.40/ 12. It is 45 cents each

What is the solution to the equation x/3 = 9 x=

Answers

Answer:

x = 27

Step-by-step explanation:

x/3 = 9

Multiply both sides by 3

x/3 * 3 ( the 3's cancel out and we're left with x )

9 * 3 = 27

We're left with x = 27

Answer:

27

Step-by-step explanation:

[tex]\frac{x}{3} =9\\\\\\[/tex]

In order to solve for x, we need to undo the operations. Because x is being divided, we need to multiply both sides by the same number that x is being divided by to find x.

[tex]\frac{x}{3} (3)=9(3)\\x=27[/tex]

Hey guys I need help again please.. it’s question number 5

Simplify the expression 2* = 210.

Answers

2 ^-6 or 1/2^6


… subtract for exponents and make sure the constants are same

Answer:

1/64

Step-by-step explanation:

When dividing numbers with exponential values (that have the same base), you subtract the exponential values. 4 - 10 is -6, so the answer would be 2^-6. However, that is not simplified yet. If the exponent is negative, the expression turns into a fraction. 1/2^6 can also be written as 1/64, which is the final answer.

Please show the steps. and the answer

Answers

Answer:

$321562.50

Step-by-step explanation:

Exponential growth can be modeled by the formula [tex]y = a(1+r)^{x}[/tex] , with y representing the final value, a being the starting value, r being the growth rate, and x being the number of time intervals passed.

To figure out the rate, we must use the values given from the months we have data of. Our starting value is 60,000 , ending value is 105,000 , and given that monthly sales are given, we can assume that sales grew exponentially each month. There were 4 years, or 48 months, that the store had to grow. Our formula is thus

[tex]105000 = 60000(1+r)^{48}\\[/tex]

To solve for r, we can first divide both sides by 60,000 , then put each side to the power of 1/48, resulting in

[tex]105000/60000 = (1+r)^{48}\\1.75 = (1+r)^{48}\\\\1.75^{1/48} = 1+r[/tex]

Since we know our rate, and there are 8 years/96 months between January 2005 and January 2013, we can make our starting value 105,000 , plug (1.75)^(1/48) for r and 96 for x in [tex]y = a(1+r)^{x}[/tex], and go from there.

Our final value is then

[tex]y = 105000(1.75^{1/48})^{96}\\y = 105000(1.75^{2})\\y = 321562.5[/tex]. We were able to turn 1.75^(1/48)^(96) into 1.75² using the exponent rule stating that x^y^z = x^(y*z)

What is the circumference of a circle with a diameter of 12 feet? (use 3.14 for pi)

36 ft.
37.68 ft.
36.26 ft.
38 ft.

Answers

Answer:

37.68ft

Step-by-step explanation:

Answer:

37.68 ft

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d  where d is the diameter

C = 3.14 * 12

C =37.68 ft

help please asap just the answers​

Answers

Answer:

"2"

(9-2-3)/2

4/2

2

Step-by-step explanation:

if f( x )3 X + 4 and g(x)= X + 1 find the value of x given that F - 1g( x) = 2​

Answers

Answer:

The answer for the question is -1.5

Help pls it easy for everyone, i need it before 20 mins plss

Answers

5.B
6.D
7.A
8.B
9.A
10.C hsvs whehsg

Plz help, its due soon!! Ill give brainliest

Answers

1. f(x) = 250+2x

Explanation: replace the # of ticket with a variable!

2. f(100) = $450

Explanation: 250+2(100)
250+200 = $450

3. f(150) = $550

Explanation: 250+2(150)
250+300 = $550

I hope this helped!! :)

Find the missing side of the triangle and leave the answer in simplest radical form.

Answers

Answer:

x = [tex]\sqrt5[/tex]

Step-by-step explanation:

Using Pythagoras theorem,

Square of longer side = Sum of square of other sides .

Therefore,

[tex](\sqrt{11})^2 = x^2 + (\sqrt{6})^2\\\\11 = x^2 + 6\\\\11 - 6 = x^2\\\\5 = x^2\\\\x = \sqrt 5[/tex]

Answer:

x = √5.

Step-by-step explanation:

By Pythagoras:

x^2 = (√11)^2 - (√6)^2

x^2 = 11 - 6 = 5

x = √5.

Last question math please help

Answers

e. OBTUSE TRIANGLE- A triangle where one angle measures more than 90°.

c. SIMILAR TRIANGLES- Two triangles that are the same shape but different sizes.

i. REGULAR POLYGONS- A polygon where all sides are equal in measure.

b. CONGRUENT TRIANGLES- Two triangles that are exactly the same size and shape.

d. ACUTE TRIANGLE- A triangle where all sides are less than 90°.

f. EQUILATERAL TRIANGLE- A triangle where all sides and all angles are equal in measure.

h. RIGHT TRIANGLE- A triangle where one angle is 90°.

j. IRREGULAR POLYGONS- A polygon where all sides are not equal in measure.

g. ISOSCELES TRIANGLES- A triangle where two sides and two angles are equal in measure.

a. PROPORTIONAL- When dimensions are multiplied of divided by a value so the resulting objects have the same shape but different sizes

Have a nice day
(Pls say if my answer is wrong)
If my answers are correct brainliest pleass!
-SpaceMarsh


x/3 -6 =y

Solve for x

Answers

Answer:

x= 3(y+6) or x = 3y + 18

Step-by-step explanation:

get the "x" by itself.

so first +6 on both sides of the equation to make it x/3=y+6

then multiply both sides by 3 to make it x=(y+6)*3

Express it in slope-intercept form.

Answers

Answer:

y = 1/2x -1

The slope is increasing by 2/4, which can be reduced to 1/2. You can find this by doing rise over run.

The y intercept is -1

y = 1/2x -1

Answer:

Explanation:


323323332222222222222222222

Answers

Answer:

Step-by-step explanation:there are 4 spaces between each whole number so each line is 1/4 of a whole.

A is 1 space away from 0 so it is 1/4

B is 2 spaces below 0 so is -1/2

There are 2 mystery books, 2 romance books, 2 poetry books to be randomly placed on a shelf. What is the
probability that the mystery books are next to each other, the romance books are next to each other, and the
poetry books are next to each other? (For example, MMRRPP).

Answers

Answer:

there would be a 2 out of 6 chance i think

Step-by-step explanation:

Which of the following is the best definition of the domain of a relation?

A. The set of all allowable input values, or values

B. The set of all allowable output values, or y-values

c. The set of all allowable input values, or x-values

D. The set of all allowable output values or values​

Answers

This answer would be d hope this helps if you need step by step just reply !

Answer:

C. The set of all allowable input values, or x-values

Step-by-step explanation:

The domain is the input values, x, and the range is the output values, y, in a relation or function.

3. Điền tiếp vào dãy số:
a. 0; 1; 4 ;9 ;16 ;25 ;36 ;49 ; …
b. 1; 1; 3; 15; 105; …
c. 0; 100; 6; 94; 12; 88; 18; 82; …….; ……
d. 72496 đối với 1315 62134 đối với 97
85316 đối với 167 28439 đối với ……

Answers

Answer:

D hope this kinda helped:)

Step-by-step explanation:

minus 15 over minus 4

Answers

Answer:

3.75

Step-by-step explanation:

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