Two bicyclists are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart?

Answers

Answer 1
So first what you want to do is find out how much closer they would be after one hour. Since they're both moving towards each other, that means they gain, 

14 + 16 = 30 m in one hour.

(because they're both moving towards each other, so for the amount they get closer to each other, you want to add both of their speeds)

Since they were originally 180 miles apart, and you want to find how long it would take for them to be 20 miles apart, you want to just subtract 20 from 180 to find the total distance they have to travel.

180 - 20 = 160

Now divide 160 by 30 to find out how many sets of 30 miles, or one hour time periods, there are in 160 miles.

160 / 30 = 16/3 hours.

To make this into minutes, you can just multiply by 60.

16/3 * 60 = 960/3

960/3 = 320

So it'll be 320 minutes before they are 20 miles apart.
Answer 2
Answer:
5.3 hours, or 319.999 or 320 minutes

Explanation: 
If the bicyclists are 20 miles apart, they have travelled 160 miles in total because: 
180 - 20 = 160
Make an equation for the bicyclists traveling 160 miles total: 
14x + 16x = 160
Solve for x:
14x + 16x = 160
30x = 160 
30x ÷ 30 = 160 ÷ 30
x = 5.3 
So after 5.3 hours, both bicyclists have traveled 160 miles, and are 20 miles apart. 
5.3 hours in minutes is 
60 • 5.3 = 319.99 or 320 minutes.

Related Questions

Lou cuts 3 yards from a 9 yard roll of fabric. Then he cuts 4 feet from the roll. How many feet of fabric is left on the roll.

Answers

16 feet of fabric left on the roll. take 9 yards turn it into feet (times three to get feet) then do the same for 2 1/3. 9 yards becomes 27 feet and 2 1/3 yards becomes 7 feet. add 7 feet plus four. you get positive eleven. Then take 27 feet minus 11, you get 16 feet or 5 1/3 yards of fabric 

Would be Correct
please mark me as brainliest

Final answer:

Lou starts with a roll of fabric that's 9 yards long which equals 27 feet (9 yd x 3 ft/1 yd). After cutting 3 yards (9 feet) and then 4 feet, he's left with 14 feet of fabric.

Explanation:

The question involves calculating the remaining length of fabric in feet after Lou makes two cuts from a roll. Since one yard is equivalent to 3 feet, we'll first convert the roll's total length from yards to feet. Starting with a 9-yard roll, we convert it to feet (9 yd x 3 ft/1 yd = 27 ft). After cutting 3 yards (which equals 9 feet) and then another 4 feet, we subtract these from the total length.

Here's the step-by-step calculation:

Convert initial length to feet: 9 yd x 3 ft/1 yd = 27 ft.

Subtract the first cut in feet: 27 ft - 3 yd (9 ft) = 18 ft remaining.

Subtract the second cut: 18 ft - 4 ft = 14 feet remaining.

Therefore, there are 14 feet of fabric left on the roll.

Help and explain these plz

Answers

1.

15h = 75

15h/15 = 75/15

h = 5

2.

-d = -6

-d(-1) = -6(-1)

d = 6

3.

5k = 25

5k/5 = 25/5

k = 5

4.

13 = -x/2

-x/2 = 13

-x/2 * (-2) = 13 * (-2)

x = -26

Which number is three million times larger than 2.3 x 104 ? A) 2.3 x 107 B) 2.3 x 108 C) 6.9 x 109 D) 6.9 x 1010

Answers

Your answer is D 6.9*1010 because...                                                                                                                                                                                                      Q: 2.3*104=239.2                                                                                                   A   2.3*107=246.1                                                                                                 B     2.3*108=248.4                                                                                               C       6.9*109=752.1                                                                                             D         6.9*1010=6,969 >>>> Your answer                                                                        Your answer is D.

The required number that is three million times larger than 2.3 x 10⁴= is  6.9 x 10¹⁰. Option D is correct.

Given that,
To determine which number is three million times larger than 2.3 x 10.


What is arithmetic?

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

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The number is three million times larger than 2.3 x 10⁴
= 3 * 10⁶ * 2.3 * 10⁴
= 6.9 * 10¹⁰


Thus, the required number that is three million times larger than 2.3 x 10⁴= is  6.9 x 10¹⁰. Option D is correct.

Learn more about arithmetic here:

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On a coordinate grid, both point (1, 2) and point (−3, −3) are reflected across the y-axis. What are the coordinates of the reflected points?

A-(−1, 2) and (3, −3)
B- (−1, −2) and (3, 3)
C-(1, −2) and (−3, 3)
D-(1, 2) and (3, 3)

Plz help i don't get

Answers

The answer to your question is A.
(-1, 2) and (3, -3) are the reflection, over the y-axis, of (1, 2) and (-3, -3). All you have to do is picture the reflection of the coordinates, then you can narrow down the answer. If you ever have trouble, you can also google a coordinate plane and plot the points to see which are the reflections. 

The reflections of (1, 2) and (−3, −3) are A. (−1, 2) and (3, −3). 

I hope this helps!

The sum of 5 consecutive integers is 270

Answers

The 5 (FIVE) consecutive integers are:  5253, 5455, and 56 .
______________________________________________________
The expression is written as:
________________________________________________
 x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 270 ;
________________________________________________
  in which the 5 (FIVE) consecutive integers are:
________________________________________________
      x, (x + 1), (x + 2), (x + 3), (x + 4) .
________________________________________________
   To find the 5 (FIVE) consecutive integers, we solve for "x" , and the plug in the the value of "x" for the expressions of the other integers.
________________________________________________
We have:
________________________________________________
  x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 270 ;
________________________________________________
Rewrite as:
________________________________________________
        x + x + 1 + x + 2 + x + 3 + x + 4 = 270 ;
________________________________________________
 Combine the "like terms" on the "left-hand side" of the equation:
________________________________________________
       x + x + x + x + x = 1x + 1x + 1x + 1x = 1x = 5x ;

      1 + 2 + 3 + 4 = 10 ;
________________________________________________
 →  5x + 10 = 270 ;

   Subtract "10" from each side of the equation;

       5x + 10 − 10 = 270 − 10 ;

to get:

      5x = 260 ;

Divide EACH SIDE of the equation by "5" ; 

      5x / 5 = 260 / 5  ; 

to get:

         x = 52 ;
____________________________________
x = 52 ;

x + 1   = 52 + 1 =  53 ;

x + 2  = 52 + 2 = 54 ;

x + 3  = 52 + 3 = 55 ;

x + 4  = 52 + 4 = 56 ;
___________________________
The 5 (FIVE) consecutive integers are:  52, 53, 5455, and 56 .
________________________________________________
Let us check our answer:
________________________________________________
  52 + 53 + 54 + 55 + 56 =?  270 ?
________________________________________________
 52 + 53 = 105; 

 105 + 54 = 159 ;

 159 + 55 = 214 ;

 214 + 56 = 270 ;

→  52 + 53 + 54 + 55 + 56 =?  270 ?  Yes!
_______________________________________

the school decided to raise the price lunches by $0.25. Seth buys the school lunch 5 days a week. Write a formula that will help seth determine how much he'll now spend on lunch every week.

p= old price of school lunch
t= total seth pays for lunch each week

Answers

Seth can calculate his weekly lunch expenses with the formula t = 5 x (p + $0.25), where p is the old price and t is the new weekly total.

The question involves creating a formula that Seth can use to determine how much he will spend on lunch every week after an increase in the price.

Let's define the following variables: p for the old price of school lunch and t for the total Seth pays for lunch each week.

If the school decided to raise the price of lunches by $0.25 and Seth buys the school lunch 5 days a week, the new price of each lunch will be p + $0.25.

Therefore, to calculate the total Seth will pay per week, we use the formula: t = 5 x (p + $0.25).

This formula accounts for the new price Seth will pay for lunch each day, multiplied by the 5 days he purchases lunch at school.

(see attached photo)

The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent:


Statement: Reasons:
1 AB is parallel to DC and AD is parallel to BC -Definition of parallelogram

2 angle 1 = angle 2, angle 3 = angle 4 -If two parallel lines are cut by a transversal then the alternate interior angles are congruent

3 BD = BD -Reflexive Property

4 triangles ADB and CBD are congruent -If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent by ______?_?_?_______

5 AB = DC, AD = BC -Corresponding parts of congruent triangles are congruent

Which choice completes the missing information for reason 4 in the chart?
AAS postulate
ASA postulate
HL Postulate
SAS postulate

Answers

Answer: ASA postulate, that is Angle-Side-Angle postulate.

Step 4 of the proof states that the triangles ADB and CBD are congruent, and the reason is that :

Angle 4 - Side BD - Angle 1 of triangle ADB are respectively equal to 

Angle 3 - Side BD - Angle 2 of triangle CBD.

So we have 2 pairs of congruent angles including 2 equal sides of the triangles. This is congruence by ASA postulate.


The correct postulate for reason 4 in the proof chart is the ASA postulate.

To complete the missing information for reason 4 in the proof chart, we need to identify the correct postulate used for congruent triangles.

The given triangles ADB and CBD share the side BD (Reflexive Property), and they have pairs of congruent angles formed by the parallel lines (Alternate Interior Angles Theorem).

Since these triangles have two angles and the included side congruent, the appropriate postulate is the ASA postulate (Angle-Side-Angle).

Therefore, the correct choice is the ASA postulate.

An answer that has been rounded is called an ____ answer.

Answers

Approximate. I can't ellaborate further sorry. Hope I helped. 
I think its an estimate,i’m not sure

Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation.

Answers

Rigid motion of a plane is a transformation where the original and new image are congruent. In short, it's also known as isometry.

In the case above, ΔDWP is presumed to be congruent to ΔMJS. Rigid motions involved here are translation and rotation.

In translation, you are basically sliding/moving the figure. ΔDWP is moved five (5) units down then one (1) unit to the left. Thereby, coinciding point W of ΔDWP and point J of ΔMJS.

Next rigid motion used is rotation. The figure is simply rotated approximately 90 degrees thereby coinciding all points of ΔDWP to ΔMJS.

To check for congruency by just merely looking on the plane, compare the lengths of the sides of the triangles.

side DW = side MJ = 2 units
side WP = side JS = 4 units
side PD = side SM = 5 units

Therefore, we can say that ΔDWP is congruent to ΔMJS.


Final answer:

In mathematics, congruence of triangles is determined using rigid motions. If one can be made to coincide with the other through translation, rotation, and reflection, then the triangles are congruent.

Explanation:

In mathematics, congruence of triangles is determined using rigid motions. Rigid motions include translation, rotation, and reflection. These motions maneuver a figure without altering its shape or size, hence the term 'rigid'.

To determine if two triangles are congruent by rigid motions, you could move one triangle using a combination of these rigid motions to check if it can overlap perfectly with the other triangle. For example, you may need to translate (or slide) the triangle a certain distance in a certain direction, rotate it around a point by a certain angle, and possibly reflect it across a line.

If you can make one triangle coincide with the other through these rigid motions, then the triangles are congruent. Otherwise, they are not congruent. This is basically the idea behind the congruence of triangles through rigid motions.

Learn more about Congruence through Rigid Motions here:

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0.06 or 60% which is greater?

Answers

60% percent is greater :D 

Final answer:

When comparing 0.06 and 60%, we need to convert the percentage to a decimal (0.60) to make a direct comparison. 0.60 is greater than 0.06.

Explanation:

To compare 0.06 and 60%, first, we should express both numbers in the same format. The number 0.06 is already in decimal form, so let's convert 60% into a decimal. To do this, we divide 60 by 100, which equals 0.60. Now we can see that 0.60 is greater than 0.06.

Jill was shopping for Christmas and bought items costing $13.45 $10.99 $6.59 $12.98 she used a coupon worth $2.50 she then remembered she had another coupon in her purse for $10.00 off so she used it also if Jill had $50.00 when she went into the store how much did she have left

Answers

She would have 18.52 left
She should have $18.49. You add all the costs together and that answer is subtracted by $50 that answer is added with all the coupons and $18.40 is your answer

To cover A rectangle region of her yard penny needs atleast 170.5 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region? Write an inequality and solve. I know the answer is 11, but how would you write the inequality?

Answers

The area needed is at least 170.5 ft².

Let w  =  the width of the rectangular area.
Because the length is 15.5 ft, therefore the calculated area should be at least 170.5 ft². That is
(15.5 ft)*(w ft) ≥ 170.5 ft²
w ≥ 170.5/15.5
w ≥ 11 ft

Answer:  w ≥ 11 ft

A 15-pound bag of wildflower seed covers 40 square feet .How many pounds of seed does it take to cover 1 square foot

Answers

So basically we want to find how much sets of 40s there are in 15.

So, just 15/40.

15/40 = 0.375 = 3/8

So if you want it in fraction form, 3/8 of a pound, and if you want it in decimal form, 0.375 of a pound.

write an equation for the vertical line that contains point E(-7,7)

Answers

All the points on a vertical line have the same x-coordinate no matter what the y-coordinate is. Since point E(-7, 7) is on the line and has x-coordinate -7, then all points on the same vertical line must have x-coordinate -7.
The equation is x = -7

A King cobra has a mass of 8.845 kilograms. Round the mass to the nearest tenth kilogram

Answers

The answer is 9 Kilograms.
8.8 because if you try to round the tenths you can't, because the number to the right is less. Little saying: 5 or more raise the score, 4 or less, let it rest!

I got 1792 do I have to divide this number by 32?

Answers

Yeah, you'd divide 1792 by 32 to get 56.

Write an solve a real world problem that can be represented by
15x - 20 < or equal 130

Answers

u were given $ 130 as a birthday gift. u first had to pay ur bro back $ 20 that u owed him. u then went to the clothing store and stocked up on t-shirts because they were on sale for $ 15 a piece. And now ur broke.  How many t-shirts did u purchase ?

15x - 20 < = 130
15x < = 130 + 20
15x < = 150
x < = 150/15
x < = 10...so u bought 10 t-shirts

line r is parallel to line t. find m<6. The diagram is not to scale

Answers

m <3 + 138 =190
so m<3 = 180 -138 = 42
r ans t are parallel so m<3 = m<6 then m<6 = 42

answer C.42

what are two fractions whose product is -3/5?

Answers

1/5 x -3/1 is one i think

Six more than a number equals two times the sum of one-half the number plus three. Is this statement true for only one number, all numbers, or for no numbers

Answers

your answer would be all numbers

let me show you:

step 1) 6 more than 4 is 10

step 2) two times the sum of one-half the number plus three is 2*(2+3)

step 3) 2+3 is 5,and 5*2 is 10

step 4) compare the answers from steps 1 and 3,they are both 10


so your answer is ALL numbers


a chair lift on the ski slope travels a total distance of 4640 ft to the top of a 2178 foot mountain find the angke of ski slope

Answers

Refer to the diagram shown below.

Let x =  the angle of the ski slope.
By definition,
sin x = 2178/4640 = 0.4694
x = sin⁻¹ 0.4694 = 28°

Answer: 28°

Which equation correctly applies the distributive property?

A.​ 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25) ​

​B. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67 ​

​C. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08) ​

D.​ (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2) ​

Answers

From the word itself distribution, the distributive property of equality states that a number must be distributed to all the numbers inside the parenthesis. From the given choices, the only correct answer is:

C. −3 ⋅ (6.48)=(−3⋅6) + (−3⋅0.4) + (−3⋅0.08) ​

at medina middle school 2% of the students ride bikes to school.if 950 students attend medina middle school,how many students ride a bike to school?

Answers

19 people ride bikes

3,478 divided by 9
2,205 divided by 6
6,033 divided by 5
926 divided by 4

Answers

3,478/9= 386.4 repeating(line over the 4)
2,205/6=367.5
6,033/5=1,206.6
926/4=231.5
Hope this helps

Answer:

Step-by-step explanation:

3,478/9= 386.4 repeating(line over the 4)

2,205/6=367.5

6,033/5=1,206.6

926/4=231.5

Hope this helps

What is the answer to this 765 divided by 5

Answers

765 divides by 5 = 153.

Hope that helped! :)
765 divided by 5 is 153.

awesome car company sold 20 cars this week. their goal is to sell at least 25% more next week. write an inequality that represents their goal.

Answers

20 cars < 25%. I hope this helped :)

If x = 0, then f(0) = . If f(x) = 0, then x =

Answers

Answer:

2.25 and the second one is -1

round 96.39 to the tenths place

Answers

Final answer:

To round 96.39 to the tenths place, we increase the tenths digit by one because the hundredths digit is 9, which is greater than 5. The rounded number is 96.4.

Explanation:

To round 96.39 to the tenths place, we look at the digit in the hundredths place (which is 9 in this case). According to the standard rules for rounding numbers, if the first dropped digit is 5 or higher, we round up the last digit that is kept. Since 9 is higher than 5, we will round up. The number 96.39 rounded to the tenths place is 96.4.

The equation y-2/3=-2(x-1/4) is written in point-slope form. What is the equation in slope-intercept form?

Answers

Slope intercept form is given by 
y=mx+b

So we want to get the y isolated on the left side.
First distribute the right side
Then add 2/3 to both sides of the equation to get y by itselft.

y-2/3=-2(x-1/4)
y-2/3=-2x+1/2
y=-2x+(3/6+4/6)
y=-2x+10/6 
y=-2x+5/3

Answer: [tex] y=-2x+\dfrac{7}{6}[/tex]

Step-by-step explanation:

The slope -intercept form of a line is given by :-

[tex]y=mx+c[/tex]

The given equation of a line :[tex]y-\dfrac{2}{3}=-2(x-\dfrac{1}{4})[/tex]

To convert it into slope-intercept form , we need to multiply -2 inside the brackets , we get

[tex]y-\dfrac{2}{3}=-2x-\dfrac{-2}{4})\\\\\Rightarrow y-\dfrac{2}{3}=-2x+\dfrac{1}{2}\\\\\Rightarrow y=-2x+\dfrac{1}{2}+\dfrac{2}{3}\\\\\Rightarrow\ y=-2x+\dfrac{7}{6}[/tex]

Hence, the  equation in slope-intercept form : [tex] y=-2x+\dfrac{7}{6}[/tex]

k=5/9(f-32)+273.15
Solve for f

Answers

k = -274.19f is the answer think to the problem

Answer:

f  =  1.8

K  = − 459.67

I just gave the answer for K for fun. Not sure if this is correct though :)

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