Starting at the same point, Tom and Juanita go biking in opposite directions. If Tom rides at a speed of 20 mph, and Juanita rides at a speed of 20 mph, how far apart will they be in 2 hours?

Answers

Answer 1

Answer:

Concept: Mathematical Analysis

They go in opposite directions They start at the same point, let's define that as (0,0) on the ordinary differntiable x-y axis Hence Tom can ride 20 units left in one hour and Juanita can ride 20 units right in one hour.We want to know the distance they are at the end of 2 hours So we set up the equation y= 20(x)Let x be the hours and y be the distance So 20×2=40 miles At the end of 2 hours they will be 40 miles apart assuming constant rate of change and a starting point of (0,0)

Related Questions

6. Complete: (ref.p.290)
a. 18 ft ..............d
b. 6.5c =.......................fl. oz

Answers

Answer:

a) What is d?

b) 52fl.oz

What is the equation in slope-intercept form of the line that crosses the x-axis at 12 and is perpendicular to the line represented by y = 6/5x + 9 ?

Answers

Answer:

The equation of the line in slope-intercept form is;

y = 10 - 5/6·x

Step-by-step explanation:

The given equation of the line to which the required line is perpendicular is presented as follows;

y = 6/5·x + 9

A point on the desired line = (12, 0)  

The relationship of the slope, m₁ of a line, perpendicular to the another line of slope m₂, is given as follows;

m₁  = -1/m₂

Therefore;

The slope of the desired line = -1/(The slope of the given line)

The slope of the desired line = -1/(6/5) = -5/6

The equation of the desired line in point and slope form is given as follows;

y - 0 = -5/6 × (x - 12)

Therefore, the equation of the line in slope-intercept form is;

y = -5/6·x + 10 = 10 - 5/6·x.

A recipe calls for 1 ⅔ cups of milk. If you wanted to make 4 batches of the recipe and had 10 cups of milk to use, how much milk would you have left over?

Answers

Answer:

You would have 3 1/3 cups of milk left over.

Step-by-step explanation:

1 2/3 * 4 = 6 2/3

10 - 6 2/3 = 3 1/3

Puteti sa ma ajutati va rog? Vreau solutii cu explicatie elaborata, nu doar raspunsul. Multumesc.

Answers

I don’t speak Spanish but if you put the English trans in the comments I’d love to answer

the perimeter of a isosceles triangle is 5(2+root2) find the area

Answers

Answer:

12.5

Step-by-step explanation:

If an isosceles right triangle as the length of the equal sides is  a , then the length of the hypotenuse will be  a2–√  (using pythogoras theorem.

Hence the perimeter will be  a+a+a2–√=a(2+2–√)  

Hence the equal sides of the triangle in question has the length of  a=5  

Area of the triangle  =  12∗Height∗Base  

=12∗5∗5=12.5

Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles <1 and <2, and she labeled the second pair of vertical angles <3 and <4. Martha made the conjecture that <1 =~ <2 to validate this conjecture, which of the following would be appropriate reasoning?

A. M<1+ M<2 +M<3 + m<4 = 360

B. The sum of the measures of angles of a triangle is 180°

C. The measure of all right is 90°

D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

Answers

Answer:

b 3eedeehheheehejwjjhhhejjererj

Factor completely 5b^2-11b+6

Answers

Answer:

(b - 1) (5b - 6)

Step-by-step explanation:

HELP ME 50 POINTS RN

Answers

Answer:

A

Step-by-step explanation:

Because it can only lift 2,200 pounds and that means it can lift 2,200 - 0 Pounds

please help!!!! very confused

Answers

Answer:

I think it is B

Step-by-step explanation:

Hope this helped have an amazing day!

A car dealership increase the price every swing her by 6% devotional price was $37,800. What is the new price?
write the new price in terms of the original price write your answer as a decimal

Answers

$40,068 exact no decimal points

Answer:

$40,068 no decimals enclode in it

Who can solve this LAST RIDDLE???

Answers

Answer:

30 squares?

Step-by-step explanation:

Type the correct answer in each box.
If cos -105º = -0.26 and csc -105º = -1.03, then cos 105º = ? and csc 105º = ?

Answers

Answer:

[tex]\cos(105^\circ)\approx-0.26\text{ and } \csc(105^\circ)\approx1.03[/tex]

Step-by-step explanation:

We are given that:

[tex]\cos(-105^\circ)\approx-0.26\text{ and } \csc(-105^\circ)\approx-1.03[/tex]

And we want to find:

[tex]\cos(105^\circ)\text{ and } \csc(105^\circ)[/tex]

Part A)

Remember that cosine (and secant) is an even function. By definition, this means that:

[tex]\cos(\theta^\circ)=\cos(-\theta^\circ)[/tex]

Therefore, since we know that cos(-105°) is about -0.26, it follows from the definition that:

[tex]\cos(-105^\circ)=\cos(105^\circ)\approx-0.26[/tex]

Part B)

Remember that cosecant (and sine) is an odd function. By definition, this means that:

[tex]\csc(-\theta^\circ)=-\csc(\theta^\circ)[/tex]

We know that csc(-105°) is about -1.03.

By the above definition, we can rewrite csc(105°) as csc(-(-105°)) or -csc(-105°).

Hence, it follows that:

[tex]\csc(105^\circ)=-\csc(-105^\circ)=-(-1.03)=1.03[/tex]

Work out
86
% of
570
kg

Answers

Answer:

The answer would be 490.2 kg because when you're finding the percent of a certain number, you can multiply the number with the percentage. When converting the percentage, you have to move the decimal point 2 times to the left.

Answer:

490.02kg

Step-by-step explanation:

In short-

86%= 86/100

"of" in maths is basically "multiply"

therefore,

86/100 * 570=x

0.86*570=x

x=490.02

27
Karim (22 years) tells his brother Ziad (8 years).
«l haven't given you a gift for your birthday, but I'll make it up to you. The year when my age will be
triple yours. I'll give you a wonderful gift».
After making his calculations, Ziad tells his brother :
It will cost you nothing». Explain why.
(solve it in an equation of 1 unknown)​

Answers

Answer:

Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift

Step-by-step explanation:

Equations

Let's make:

x = the number of years from now

Karim now is 22 and Ziad is 8. x years from now Karim will be

22 + x years old and Ziad will be

8 + x years old.

Karim will give Ziad a wonderful gift when:

22 + x = 3(8 + x)

22 + x = 24 + 3x

Solving:

x = -1

This means that Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift

Find the value of y picture *****

Answers

i think its 54 too soo

PLZZ HELP WITH ALGEBRA..
PART A
what is the equation of line 1?
Enter the correct answer in the box by replacing the values of m and b

PART B

what is the equation of line 2?
Enter the correct answer in the box by replacing the values of m and b

PART C
Use your answers from part A and B and the substitution method to solve the system shown in the graph.
What is the solution to the system?

Answers

Answer:

A: y= 2x -2

B: y= 1/3x +2

C: set the two = to each other and solve

2x-2= 1/3x +2

1 2/3x -2= 2

1 2/3x = 4

x= 12/5

y= 1/3 (12/5) +2

y= 14/5

answer to C is (12/5 , 14/5)

Answer:

answering so they get brainest

Step-by-step explanation:

a.
Tell if the sequence is arithmetic, geometric or
neither: 5, 30, 180, 1080

Answers

Answer:

It is geometric

Step-by-step explanation:

Because it is increasing as 6 is being multiplied.

What is the area of figure ABCD?
(image of figure down below)

104 square inches
120 square inches
136 square inches
168 square inches

Answers

Answer:

a

Step-by-step explanation:

Write an equation in slope-intercept form of the line that is parallel to the line y = 3x - 1 and passes through ( - 2, - 8)

Answers

y = 3x - 2

Since it is parallel to y = 3x - 1, it has its slope, but also when x = -2, y = -8.

Create an equation... starting with:

y = 3x

When x = -2, y = -8:

y = 3x - 2

Check work by substituing x for -2:

y = 3(-2) - 2

y = -6 - 2

y = -8 ✔️

The formula C=5/9(F−32) can be used to convert temperature from Celsius (C) to Fahrenheit (F). The highest temperature ever recorded in the United States was 134 ∘F in Death Valley on July 10, 1913. What was the temperature that day in Celsius, rounded to the nearest degree?

Answers

Answer:

57 °C.

Step-by-step explanation:

The formula that is used to convert temperature from Celsius (C) to Fahrenheit (F) is given by :

[tex]C=\dfrac{5}{9}(F-32)[/tex] ...(1)

If T = 134° F, we need to convert the temperature in Celsius.

Put F = 134, in equation (1)

[tex]C=\dfrac{5}{9}(134-32)\\\\=\dfrac{5}{9}\times 102\\\\=56.66^{\circ} C\\\\\text{or}\\\\T=57^{\circ} C[/tex]

So, the temperature on that day is 57 °C.

what is 1,360/16 reduced to smallest form? (please hurry this assignment is due soon)

Answers

Answer:

85/1

Step-by-step explanation:

because both numbers are divisible by 16

Answer:

85

Step-by-step explanation:

1360 and 16 both have 16 in common. So...

1,360 ÷ 16 = 85

16 ÷ 16 =      1

85/1 = 85

The answer is 85.

what is the equation of the line

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

X = 3

Step-by-step explanation:

I HOPE, PLS DON'T HATE ME :(

how do you solve 2 - 2n = 3n + 17

Answers

First add 2n to 3n u get 5n
2=5n+17
Subtract 17 to both sides
-15=5n
Divide 5 both sides
N=-3

Final Answer: [tex]n = -3[/tex]

Steps/Reasons/Explanation:

Question: How do you solve [tex]2 - 2n = 3n + 17[/tex]?

Step 1: Subtract [tex]2[/tex] from both sides.

[tex]-2n = 3n + 17 - 2[/tex]

Step 2: Simplify [tex]3n + 17 - 2[/tex] to [tex]3n + 15[/tex].

[tex]-2n = 3n + 15[/tex]

Step 3: Subtract [tex]3n[/tex] from both sides.

[tex]-2n - 3n = 15[/tex]

Step 4: Simplify [tex]-2n - 3n[/tex] to [tex]-5n[/tex].

[tex]-5n = 15[/tex]

Step 5: Divide both sides by [tex]-5[/tex].

[tex]n = -\frac{15}{5}[/tex]

Step 6: Simplify [tex]-\frac{15}{5}[/tex] to [tex]-3[/tex].

[tex]n = -3[/tex]

~I hope I helped you :)~

1) When I double my number and add 3, I get 13. WRITE AN EQUATION that represents the hint.

2) When I double my number and add 1, I get my number plus 4. WRITE AN EQUATION that represents the hint.

3) When I subtract five from my number, I get my number multiplied by 0.5. WRITE AN EQUATION that represents the hint.

4) When I triple my number and add 4, I get 4 times my number minus 3. WRITE AN EQUATION that represents the hint.

***please answer quickly!!!

Answers

2x+3=13

2x+1=x+4

x-5=x.0.5

3x+4=4x-3

Someone help me plsss with my math work. the teacher said its eliminating method but i dont understand it.
8a+3b=27
29-5b=1​

Answers

if this is systems of equations I will help. I can’t really go into detail right now because I am doing work of my own but I will tell you the answer.

The answer is (51/50, 28/5)

a= 51/50
b= 28/5

Have a great day✨❤️

A line includes the points (6, 9) and (3, 3). What is its equation in slope-intercept form?

Answers

Answer:

y=2x-3

Step-by-step explanation:

‏‏if the scientific notation is 6.1x10^4 what would it look like in standard form? MARKING BRANLIEST!!!!

Answers

Answer:

61,000

Step-by-step explanation:

Move it 4 places to the right.

If P(A) is ⅗. Find P (not A)​

Answers

Answer:   2/5

Work Shown:

P(A) + P(not A) = 1

P(not A) = 1 - P(A)

P(not A) = 1 - 3/5

P(not A) = 5/5 - 3/5

P(not A) = (5-3)/5

P(not A) = 2/5

Step-by-step explanation:

P(A) + P(not A) = 1. Since P(A) = 3/5, we have:

P(not A) = 1 - P(A) = 1 - 3/5 = 2/5.

Solve x^2 — 8x + 15 = 0 by completing the square.
The solutions are x =
and x=​

Answers

x^2-8x+15=0
Completing the square
Therefore x^2 -8x + (8/2)^2 -(8/2)^2+15=0
(X-4)^2 -16+15
(x-4)^2 -1=0
(x-4)^2=1
x-4=+1,-1
x=5 and x=3

On Monday Matty worked for 450 minuites in his office on Tuesday he worked half the numbers of minute he worked on Monday on wends day he worked only 1/2 day Wichita was 300 minute how many more minutes did he work on wensday then thursday

Answers

Answer:

The answer is 75 minutes.

Explanation :

Wednesday is 300 minutes & Tuesday is 225 minutes because 450 ÷ 2 = 225.

Wednesday is 300 minutes & Tuesday is 225 minutes because 450 ÷ 2 = 225. SO 300 - 225 = 75.

CAN YOU PLS GIVE ME BRAINLIST? THANK YOU! :))

Answer:

He worked for 75 more minutes on Wednesday then on Tuesday.

Step-by-step explanation:

So since we know that Matty worked for 450 minutes in his office on Monday, we can find out for how long he was working on Tuesday since we know that.......

Let "y" be the number of minutes Matty will work on Tuesday

Let "x" be the number of minutes Matty worked on Monday

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

Substitute the values we have and get......

[tex]y = \frac{450}{2}[/tex]

[tex]y = 225[/tex]

So now we can find out how much more he worked on Wednesday then on Tuesday by doing the following......

Let "w" be the number of minutes Matty worked on Wednesday, then.......

The answer = [tex]w - y[/tex]

The answer = 300 - 225

The answer = 75

Other Questions
i do not undersatand steve runs a car wash and detail shop. he determines that 50% of customers get their car washed and vacuumed, while 72% get their car washed. what is the probability that a customer will get their car vacuumed given that they are getting it washed? (in decimal form rounded to nearest thousandths) Question in the photoNeed an answer asap! Which of the following post-production scenarios would a dialogue editor most likely correct?-The dialogue is not syncing with the visual.-The music is one beat off.-The feature dialogue is hard to understand.-The background shots are misplaced. Practice Classify each of the following examples as toxic, sediment, nutrient, and/or bacterial pollution.Explain your classifications.A Logging removes trees from a hill, leaving a barren landscape.Classification:Explanation: Can you help me please Ill give brainliest Jenny bought a pair of shoes for $49.76 with a 30% off coupon. How much will she pay in total after 7% sales tax? write five numbers that are greater than 75,330,000 but less than 75,410,000 2.75 + negative 1.5 What is the answer to the last question In the diagram below of triangle MNPMNP, QQ is a midpoint of \overline{MN} MN and RR is a midpoint of \overline{NP} NP . If QR=11-xQR=11x, and MP=57-7xMP=577x, what is the measure of MPMP? Qu valores universales mencionan y prevalecen en el discurso de Malala?a. paz, igualdad y educacinb. educacin, religin y venganzac. paz, justicia y economad. democracia, capitalismo y libertadCual de esa es la a,b,c o la d Laura is a star runner of the school's track team. During a trial, her speed was measured to be 9.80 m/s. If Laura's mass is 45.2 kg, her kineticenergy during the trial was Which sentence best reflects the author's claim in "Children of the Drug Wars" that children are leaving Central America to reach safety? from Central America have been making that journey, often without their parents, for two decades." "By sending these children away, you are handing them a death sentence,says Jos Arnulfo Ochoa" "may be possible to transfer children and resettle them in other safe countries willing to share the burden " "course , many migrant children come for economic reasons, and not because they fear for their lives ." Physical values in the real world have two components: magnitude and If the Fed were to unexpectedly increase the money supply, creditors would gain at the expense of debtors. a. True b. False The price of the shirt is $18.50 but you have a coupon that lowers the price by 20%. What is the price of the shirt after using the coupon? All of the following are hand tools exceptO FileO TableHammer Submit your short paragraph (5-7 sentences) explaining the one spelling word you have chosen for "the study of." Your paragraph should include as many of your spelling words as possible, underlined as you use them. Help pls, almost out of time