At a NASCAR racetrack, the distance per lap is 2 miles. Lou Lambert drives his car at a constant rate of 160 miles per hour. Ralph Redding drives his car at a constant rate of 170 miles per hour. How long will it take before Ralph gains 2 laps in relation to Lou?​

Answers

Answer 1

Answer:

24 minutes

Step-by-step explanation:

Given:

Distance per lap = 2 miles

Speed of Lou Lambert = 160 miles/hr

Speed of Ralph Redding = 170 miles/hr

Speed difference between the two = 170 - 160 = 10 miles/hr

Therefore, we can say that Ralph gains 10 miles in 60 minutes over Lou.

We have to find the time in which Ralph will gain 2 laps i.e. 2 [tex]\times[/tex] 2 = 4 miles.

Let us use unitary method to find the required time.

10 miles are gained by Ralph in 60 minutes

1 mile will be gained in [tex]\frac{60}{10} = 6\ minutes[/tex]

4 miles will be gained in 6 [tex]\times[/tex] 4 = 24 minutes


Related Questions

What is the value of the equation 3×-9y=1?

A.3 B. 9 C. 1 D. -9

Answers

Answer:

y = -1/27

Step-by-step explanation:

3 * -9y = 1

~Simplify left side

-27y = 1

~Divide -27 to both sides

y = -1/27

Best of Luck!

A bird is sitting 8 feet from the base of a willow tree and flew 17 feet to reach the top of the tree. How tall is the tree?

Answers

Answer:

15

Step-by-step explanation:

a^2+b^2=c^2

8^2+b^2=17^2

64+b^2=289

-64 -64

b^2=225

√225

b=15

What is the average rate of change of f over the interval

Answers

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

What does A'=? Also what would B=?

Answers

Answer:

A'(-1,-1)

Step-by-step explanation:

A( -3,-3)

A'(-3*1/3,-3*1/3)

A'(-1,-1)

~

You have a Maxi Card with a $700 limit for this exercise. The card has a monthly finance charge of 1.67%. Fill out the following table. Your payment each month is $50. You are finished when you have paid it off.
Each month, except the first:
Balance = last month’s new balance – payment
onthly Finance Charge = balance (0.0167)
New balance = balance + monthly finance charge
Month 1 2 3 4 5 6 7 8
Balance
Interest
New Balance
Payment
Month 9 10 11 12 13 14 15 16 Total
Balance
Interest $
New Balance
Payment $

Answers

Answer: You have $83.50 on the card each month.

Step-by-step explanation:

Answer:

You have $83.50 on the card each month.

Step-by-step explanation:

hope this helps

Temperature freezes at 0c. Write three numbers where temperature would be below freezing

Answers

Answer:

-10

-45

-30.

Explain: You just need to add the negative symbol, if you don't like my answer, yiu can change, for ex: -2, -18,...

shanna uses 4 inches of string for each balloon she makes. How many yards of string does need to make 18 ​balloons? Use the diagram to help solve.



x y graph

Answers

Answer:  

Step-by-step explanation:

what is the answer for
2 1/2 + 4 2/3

Answers

Answer:

635

Step-by-step explanation:

you need a ti-30xa calculator


WILL GIVE BRAINLIEST!!!
How many phone numbers are possible in the (770) area code if:

For the form ABC-XXXX, A is restricted to numbers 2-9. B, C, and X can be any digit 0-9. Also, the number 867-5309 is not used.

A. 6,999,999

B. 7,000,000

C. 7,999,999

D. 8,000,000

Answers

Answer:

C = 7,999,999

You flip a coin. What is p(tails). As a percentage

Answers

Answer:

50%

Step-by-step explanation:
Since there are only two sides on a coin, each side would have a 50% chance

help please i’m really struggling!!

Answers

Answer:

1/6

Step-by-step explanation:

rise=1

run=6

therefore run over run is 1/6

if 2:4=x:16 find the value of x​

Answers

Answer:

x = 8 is the answer

Step-by-step explanation:

2:4 = x : 16

x = 8

Answer: 8

Step-by-step explanation:

given:

2:4=x:16

2×16= 4x

32/4 = x

x=8

2.3 x 4.5

Please help! Im not sure if it did it right!

Answers

answer is 14.4,
2.3 x 4.5 = 14.4

A mechanic alters the lighthouse to make the light rotate in such a way that is reflection travels north word along the wall at a constant rate of 100 ft./s how fast in radians per second is the beam of light rotating when the lights reflection is 100 feet north of the point on the wall that is closest to the lighthouse

Answers

Answer:

The correct solution will be "1 Rad/sec".

Step-by-step explanation:

The given value is:

Velocity (V)

= 100 ft./sec

As we know,

Angular velocity,

⇒  [tex]\omega=\frac{V}{R}[/tex]

On substituting the values, we get

⇒     [tex]=\frac{100}{100}[/tex]

⇒     [tex]=1 \ Rad/sec[/tex]

Help me please!!! I need HELP​

Answers

Answer:

Angle E is 54* and Angle F is 126* , Angle d is 90*

Step-by-step explanation:

In a class of 27 students, 12 play an instrument and 6 play a sport. There are 13 students who do not play an instrument or a sport. What is the probability that a student chosen randomly from the class plays a sport?

Answers

The probability of a student that plays sport is 6 over 27.

The probability of a student chosen plays a sport is [tex]\frac{6}{27}[/tex]

What is probability?

'Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.'

According to the given problem,

Total number of students = 27

Number of students playing a sport = 6

Number of students playing an instrument = 12

Number of students no playing a sport or instrument = 13

Probability = [tex]\frac{No of possible events}{Total number of students}[/tex]

                  = [tex]\frac{6}{27}[/tex]

Hence, we can conclude that the probability of a student chosen plays a sport is [tex]\frac{6}{27}[/tex].

Learn more about probability here: https://brainly.com/question/11234923

#SPJ2

at a hockey game the snack bar sells nachos 2 dollars and pretzels for 3 dollars. The snack bar sold 49 nachos and pretzels all together for $137 dollars

Answers

Answer:

The total number of nachos sold:49

The total number of pretzels sold:13

Step-by-step explanation:

The numbers of nachos is 49. Each nacho costs 2 dollars.

2 x 49 = 98

Then you subtract that amount to get the amount of money left for pretzels.

137 - 98 = 39

Then you divide 39 by 3 since that's the cost of each pretzel.

39 ÷ 3 = 13

13 is the amount of pretzels you can buy after you buy 49 nachos.

What is the approximate volume of a baseball with a radius of 1.5 inches?

A.
7.1 cubic inches

B.
9.4 cubic inches

C.
10.6 cubic inches

D.
14.1 cubic inches

Answers

Answer: D. 14.1 cubic inches

Step-by-step explanation:

Formula for volume of a sphere: 4/3 x pi x radius cubed

Substitute: 4/3 x pi x 1.5 cubed

= 14.1

Answer:

14.13

Step-by-step explanation:

Sphere formula;

v = 4/3πr^3

Where pi is 3.14 or 22/7

R is the radius which is cubed

Substitute the radius(1.5) into the formula:

v = 4/3πr^3

v = 4/3 * 3.14 * 1.5^3

v = 4/3 * 3.14 * 3.375

v = 4/3 * 10.5975

v = 42.39/3

v = 14.13, our closest answer would be D.

What is 10+5

PLEASE HELP

Answers

Answer:

of course 15 is the correct answer

Step-by-step explanation:

mark me brainliest

What is the value of x?

Answers

The sum of all the angles of a triangle is 180 degrees

We see that Line HI and JI are equal in length meaning that triangle HIJ is an isosceles triangle. This means that the two angles of unknown measure are both x.

So lets now set up our equation:

  [tex]x + x + 74 = 180\\2x = 106\\x = 53[/tex]

Thus x is 53 degrees

Hope that helps!

53 degrees I believe

21 Point T at (3,5) is reflected across the y-axis.
What quadrant would the reflection be in?
A. quadrant 1
B. quadrant 2
C. quadrant 3
D) quadrant 4

Answers

Answer:

If the point is at (3,5) it would be in quad 1, reflecting it over the y axis would put it in quad 2, making it B.

Find the ratio of the volume divided by the temperature for the first data pair. Use significant figures. V / T = 0. 72/276 =.

Answers

The ratio of the volume divided by the temperature for the first data pair is 0.0026 using the significant figures.

What is a ratio of two numbers?

The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.

The value of the volume is 0.72 and the value of temperature is 276 for the first data pair. The image of all the values of the volume and temperature table is attached below.

The ratio of the volume to the temperature is,

[tex]\dfrac{V }{ T} =\dfrac{ 0. 72}{276 }\\\dfrac{V }{ T} =0.002608695652[/tex]

The above value is the ratio of volume to the temperature. Now this value has to be written with significant figure.

Let's correct the value, after the 4 places of the decimal point. As the value of fifth place is zero, then the value of 4 place will remain as it is.

Thus, the ratio is,

[tex]\dfrac{V }{ T} =0.0026[/tex]

The ratio of the volume divided by the temperature for the first data pair is 0.0026 using the significant figures.

Learn more about the ratio of two numbers here;

https://brainly.com/question/831500

Which of the following options have the same value as
65% of 20?
Choose 2 answers:

Answers

Answer:

A) 0.65 · 20

D) [tex]\mathsf{\dfrac{65}{100} \cdot 20}[/tex]

Step-by-step explanation:

To find 65% of 20:

Method 1

65% in decimal form is:  65% = 65/100 = 0.65

Therefore, to find a percentage of a number, multiply the percentage in decimal form by the number:

[tex]\mathsf{\implies 65\% \ of \ 20 = 0.65 \cdot 20}[/tex]

Method 2

Divide the number by 100 to get 1%, then multiply this by 20 to get 20%.

[tex]\mathsf{\implies \dfrac{65}{100} \cdot 20}[/tex]

Solution:Step-1: Find the expression of 65% of 20Given sentence: 65% of 20

~The word "of" stands for multiplication.~

65/100 × 20                                                                     [65% = 65/100]Step-2: Verify all the options

Option A) 0.65 × 20

~0.65 can be converted to fraction, which is 65/100.~

⇒ 65/100 × 20 = 65/100 × 20                                        [0.65 = 65/100]

~This expression correctly matches with the resulting expression.~

Thus, option A is correct.

Option B) 65/100 ÷ 20

⇒ 65/100 ÷ 20 = 65/100 × 20        

This could've been equivalent to the resulting expression. However, the expression has a division sign.

Thus, Option B is incorrect.

Option C) 65/20 × 100

~To avoid confusion, let's further solve the expression.~

65/20 × 100⇒ 65/1 × 5⇒ 325

~Now, let's solve the resulting expression.~

65/100 × 20⇒ 65/100 × 20⇒ 65/5 × 1⇒ 13

~Since 13 does not equal 325, "65/20 × 100" does not equal "65/100 × 20".~

Thus, option C is incorrect.

Option D) 65/100 × 20

~This equation is the resulting equation.~

Thus, option D is correct.

Option E) 65 × 20

~To avoid confusion, let's further solve the expression.~

65 × 20 ⇒ 650 × 2⇒ 1300

~Now, let's solve the resulting expression.~

65/100 × 20⇒ 65/100 × 20⇒ 65/5 × 1⇒ 13

Since 1300 does not equal 13, 65 × 20 does not equal 65/100 × 20.

Thus, option E is incorrect.

Step-3: Make a conclusion

Option A and D were equivalent to 65/100 × 20.

anybody know what to put

Answers

Answer:

yes we answered this earlier, its x / 3 < 5

Step-by-step explanation:

because it says at most. so i dont think it should be "<="

Which two integers does each square root lie between?
Write your answers using <.
a √12
b √30
c √75​

Answers

Answer:

a. 2and 3 b.15 and 2 c. 5 and 3

Which of the following equations have a slope of -1/2 and passes through the point ( − 5 , 2 ) ?

Answers

Answer:

where are the equations.

Harry invests some money in low-risk and high risk investments in the ratio 7:3. he invests £1800 into the high risk investments. how much money does he invest altogether?

Answers

Answer: £2571.43

Step-by-step explanation:Total ratio=7+3=10

If 7 = £1800 then 10 =10÷7*£1800 =£2571.43

The table of values below represents a linear function and shows the amount of money in Juanita’s savings account since she began her part-time job. What is her monthly rate of savings?

Amount in Juanita’s Savings Account
Number of Months Working at Part-Time Job
0
2
4
6
8
Amount in Savings Account (in dollars)
$36
$60
$84
$108
$132

Answers

her total savings are 420 dollars

Answer: the answer should be C

Step-by-step explanation: I just did it

Fill in the missing numbers to complete the pattern:

5.28,5.53, ? , ? 6.28,6.53

Answers

Answer:

5.78,6.03

Step-by-step explanation:

the function is .25

helpppp?

s
hvxsihazp,,lk who, ev​

Answers

Answer:

3. diameter and 4. 14.10cm

Step-by-step explanation:

The distance from point R to point M is the diameter of the circle, it basically cuts the circle is half.

The diameter of a circle is double the radius, 7.5 cm is shown as the radius, so the diameter is 14.10 cm.

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