Mathematics Middle School

One lap of a high-speed automobile race is 2.60 miles. A driver completes 35 laps traveling at 182 miles per hour.
Explain how you can use the equation d=rt to find the time it takes to complete the laps.

Answers

Answer 1

Final answer:

To calculate the time it takes for a race car to complete 35 laps at 182 miles per hour, multiply the number of laps by the lap distance to get the total distance, then divide by rate to get time, resulting in 0.5 hours or 30 minutes.

Explanation:

To find the time it takes to complete 35 laps in a high-speed automobile race using the equation d = rt, where d is distance, r is rate, and t is time, follow these steps:

First, calculate the total distance traveled by multiplying the number of laps (35) by the distance per lap (2.60 miles), which equals 91 miles.Next, use the race driver's speed (182 miles per hour) as the rate in the equation.Finally, rearrange the equation to solve for time: t = d/r. The time is the total distance (91 miles) divided by the rate (182 miles per hour).

Performing the calculation, the time to complete the laps is 0.5 hours or 30 minutes.

Related Questions

Do these questions, plz ☹️☹️

Answers

1.

He fills 5/6 lb per bag.
If he fills up 6 bags, he will use 6 * 5/6 lb = 5 lb.
Since he gets peanuts in 2-lb bags, he'd use 2 1/2 2-lb bags.
If he fills double that amount, 10 5/6-lb bags, he will use 10 lb of peanuts which is exactly 5 2-lb bags.
Answer: He should buy 5 2-lb bags.

2.

Each board has length x.
He cuts 3/5 of the length.
Each leftover piece is 2/5 of the length, or 2/5 x.
When he puts together several of the leftover pieces, he has 4 times the length of the original board, or 4x.
4x/(2/5 x) = 4x * 5/2 x = 10x

He has cut 10 boards.

Write 1.04 x 10^2 in standard form

Answers

 1.04 x 10^2 in standard form = 104

----------------

Answer:

The required standard form is 104.

Step-by-step explanation:

Consider the provided number.

you can convert the scientific notation into long hand notation as shown:

If the exponent of 10 is a positive number then you need to move the decimal point right as much as the exponent value.

If the exponent of 10 is a negative number then you need to move the decimal point left as much as the exponent value.

Now consider the provided number.

[tex]1.04 \times 10^2[/tex]

Here the power of 10 is positive, so move the decimal point right as shown.

[tex]104[/tex]

Hence, the required standard form is 104.

1/3(9−6m)+1/4(12m−8)

Answers

Hello there!

They are asking you to simplify it. So, let me help you out..

[tex] \frac{1}{3}(9-6m)+ \frac{1}{4}(12m-8) Use the distributive property [/tex]
(1/3)(9) + (1/3)(-6m) + (1/4)(12m) + (1/4)(-8)
=3 - 2m + 3m - 2
= m + 1


Best of luck with your studies!

Answer:

M+1

Step-by-step explanation:

George is saving for a mortgage on a $125,000 house. He needs 20 percent for a down payment. He currently has $22,000. How long will it take George to save the rest of the money when he earns 5 percent interest per year?

(This is an economics question)

Will it be 2years, 1year, 3years or 5years?

Answers

George will have enough money in 3 years. This is because at 5 percent interest per year, in one year he will have $23,100. In two years, he will have $24,155. In 3 years he will have $25,362.75 which will put him slightly over his goal of a 20% down payment.

Answer:

3 years

Step-by-step explanation:

1. Write the ratio in the simplest form. 16:24 (1 point) 1:2 4:3 3:4 2:3

Answers

Any ratio can be simplified into its simplest form by dividing the numerator and denominator by the common factor.

The given ratio is 16:24. To bring the ratio in its simplest form we will look for the factors of 16 and 24 and look for the greatest number that divides both 16 and 24.

The  greatest number that divides both 16 and 24 is 8.

16÷8=2

24÷8=3.

The ratio 16:24 in its simplest form is 2:3

The solution for the ratio in the simplest form is, 2 : 3

Given that,

16:24 is the specified ratio.

Now, By finding the largest integer that divides both 16 and 24 and the factors of 16 and 24, we may reduce the ratio to its most basic form.

Hence, 8 splits both 16 and 24 to the maximum possible extent.

So, we get;

16 / 8 = 2

24 / 8 = 3

Thus, the simplest form of the fraction is,

⇒ 16 : 24

⇒ 16 / 24

⇒ 2 / 3

It can be written as,

⇒ 2 : 3

So, the simplest form is,

⇒ 2 : 3

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ6

Find the average of 27 and 45

Answers

Average is the total of the numbers divided by the amount of numbers.
[tex] \frac{27+45}{2} [/tex]
[tex] \frac{72}{2} [/tex]
36 is the answer.
The average of 27 and 45 is 36

Round to the place value of the underline digit 934,567 the underline digit is 4

Answers

4,600 is the place value or you can just say 4,000

Which expression would the model be most helpful in solving 5/6

Answers

5/6 divided 1/6, this is the correct answer

Determine the independent variable (__________,y). what word goes in the blank space??

Answers

In the blank the answer is x axis

Of video game that originally cost $25.99 is on sale for 50% off if you have $14 would you have enough money to buy the video game explain (estimate)

Answers

Just round 25.99 to 26 and divide it by two. This gives you 13, which is less than 14.. You would be able to buy the video game.

Final answer:

After calculating 50% of $25.99, which is approximately $13, we find that the estimated sale price of the video game is $13. Therefore, if the student has $14, they will have enough money to buy the discounted video game.

Explanation:

The student is asking whether $14 would be enough to purchase a video game that is on a 50% off sale from its original price of $25.99. To find the sale price, we can take 50% of the original price and subtract it from the original price itself.

First, calculate 50% of $25.99: (0.50) imes $25.99 = $12.995. Since we are estimating, round the 50% value to $13. Now, subtract that from the original price to get the sale price: $25.99 - $13 = $12.99 (rounded to $13 for easier calculation).

In this estimate, the sale price is $13, which means that if the student has $14, they would have enough money to buy the video game on sale because $14 is greater than $13. Therefore, they will have $1 left after the purchase.

Eric biked 1 km 125 m on Monday. On Tuesday, he biked 375 m less than on Monday. How far did he bike both days

Answers

First, let's convert 1 km 125 m into metres.
1 km = 1000 m
1.125 km - 1,125 m

On Tuesday, Eric biked 375 metres fewer than on Monday.
1125 - 375 = 750 m
Eric biked 750 m on Tuesday.
On both days he biked 1125 + 750 = 1,875 m or
1 kilometre and 875 metres

4. FH bisects ∠GFI, m∠EFG = 4y + 8 and m∠HFI = 2y + 6. Find m∠EFH.


please help me solve this

Answers

Angle EFH is 134 degrees.

Answer:

m∠EFH=134

Step-by-step explanation:

FH bisects ∠GFI

So m<GFH=m<HFI

m∠EFG = 4y + 8 and m∠HFI = 2y + 6

m<GFH=2y+6

[tex]m<EFG+m<GF+m<HFI= 180[/tex] because its a linear pair

[tex]4y+8+2y+6+2y+6=180[/tex]

combine like terms and solve for y

[tex]8y+20=180[/tex]

Subtract 20 from both sides

[tex]8y=160[/tex]

Divide both sides by 8

y=20

m∠EFH=m<EFG+m<GFH

m∠EFH=[tex]4y+8+2y+6=6y+14=6(20)+14=134[/tex]

Which of these graphs represents a function?
A)
B)
C)
D)

Answers

C) Is the only graph that is a function because A) is a connection of points, B) is a polar graph, and D) has imaginary solutions.
The answer of your question is C. because it touches once try using a pencil if the line touch the pencil twice then it's not a function :)

what is the function of delta sign in maths

Answers

The uppercase delta Δ means "change in" so for example: Δx = difference between two x values.

The lowercase delta which Brainly does not have, looks like a squiggly lowercase d. It generally means "very small change in".

Final answer:

The delta sign (Δ) in mathematics indicates a change in a certain quantity, calculated by subtracting the initial value from the final value, commonly used for indicating displacement in physics.

Explanation:

The delta sign (uppercase Greek letter delta, Δ) is commonly used in mathematics to denote a change in a certain quantity. When we say Δx, it signifies the 'change in x' or the difference between the final and initial values of 'x'. This is typically calculated by subtracting the initial value xo from the final value xf. For instance, if we're calculating displacement, which is a change in position, we subtract the starting position xo from the ending position xf to get Δx. The SI unit for displacement is the meter, but other units such as kilometers may also be used, requiring conversion to meters for consistency in calculations.

what is 8.6x+2.2(2x-5)=54

Answers

[tex]8.6x+2.2(2x-5)=54\\\\8.6x+(2.2*2x)+[2.2*(-5)]=54\\\\8.6x+4.4x-11=54\\\\13x-11=54\\\\13x=65\\\\\\x=5[/tex]

what is 0.6144 divided by 1.6

Answers

0.384 is the correct answer :3
The answer is 0.384 if divide correctly.

Hoped this helped : )

Mark drew two lines that form a right angle. What word describes the lines mark drew

Answers

Perpendicular? Because the intersection forms right angles

Answer:

Perpendicular Lines

Step-by-step explanation:

perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees).

One carpet cleaning cost are shown in the table. The relationship is linear. Find and interpret the rate of change and the initial value for this situation.

Answers

I see from the given data that each additional carpet after the first costs $50 each to have cleaned.

The first costs $125.  Supposing we subtract $50 from that, we get $75.  So, it sounds like it costs $75 just to get the carpet cleaners to your house.

The rule would then be $75 + $50x, where x : {1, 2, 3, 4, .... }

Let's check this result.  Suppose x = 1.  Will the charge be $125, as show in the table?  $75 + $50(1) = $125.  Correct.

Suppose x = 4.  Will the charge be $275 as shown in the table?
   $75 + $50(4) = $275.  YES

How can i do this problem? "The athletic department raised $14,500 to buy new football uniforms. If each uniform costs $258, how many uniforms can they buy? Explain how you interpreted the remainder."

Answers

14,500/258 is 56.2015504 blah blah blah. You can't have a fifth of a uniform. I would interpret it as they have a little money left over, but they can't buy another uniform.

So your answer is 56 uniforms.

Given that the hypotenuse of this right triangle is 25 cm long and that tan(Θ) = 3 Find the values of x and y, accurate to the nearest tenth. A) x ≈ 7.9; y ≈ 23.7 B) x ≈ 23.7; y ≈ 7.9 C) x ≈ 7.9; y ≈ 26.4 D) x ≈ 26.4; y ≈ 79.1

Answers

The wording of this problem indicates that there was an illustration.  Could you possibly share that illustration?

Working without an illustration:

If tan theta = 3, then tan theta = opp/adj = 3/1.  This tells us that the opp side is 3 times as long as is the adj. side.  Let x be the shorter side, i. e., let x represent the adjacent side; then y is the longer side and represents the opposite side.

Then y = 3x (the opp side is 3x the adj side in length).

Applying the Pyth. Thm.    a^2 + b^2 = c^2,

x^2 + (3x)^2 = hyp^2 = (25 cm.)^2

So x^2 + 9x^2 = (625 cm^2)

10x^2 = 625 cm^2, or x^2 = (625 cm^2) / 10 = 62.5 cm^2

x = 7.91 cm.  Therefore, y = 3(7.91) = 23.72 cm.

We were supposed to round off these answers to the nearest 10th cm.
Therefore, x = 7.9 cm and y = 23.7 cm

Would that be A, B, C or D?

Answer:


Step-by-step explanation:

The right triangle above you can use SOHCAHTOA and determine that tanθ =

y

x

. Replacing tanθ with 3 you get

3 =

y

x


3x = y


Then use the Pythagorean Theorem to

x2 + y2 = 252. Replace y with 3x

x2 + 9x2 = 625

10x2 = 625

x2 =

625

10


x =

25

10

= 7.9


Since,

y = 3x

y = 3(7.9) = 23.7


x ≈ 7.9; y ≈ 23.7


There are 9 tennis balls in 3 cans. What is the rate of number of tennis balls to number of cans?

Answers

ivied the total number of tennis balls buy the number of cans to see how many tennis balls are in 1 can

9 divided by 3 = 3

 there are 3 tennis balls per can

 fraction would be 3/1  ( meaning 3 balls to 1 can)

Answer:

3/1

Step-by-step explanation:

I did the quiz and got it right

Look at the following numbers:
HELP ASAP (ONE QUESTION)
− 4, −1, 0, 4

Which pair of numbers has a sum of 0?

4, −1
−4, 0
−1, 0
−4, 4

Answers

The answer is -4, 4.
Because -4 + 4 will become 0.



Answer:

−4, 4

Step-by-step explanation:

mississippi live streaming weather radio broadcast from NOAA weather stations gives local weather updates every 18 minutes. The first update is at 2:00pm. you turn on the radio on at 5:30pm. How long will you have to wait for the next weather update?

Answers

Since they give updates every 18 minutes, thus any time being a multiple of 18 after 2 pm will be the time they give update.

5:30 pm is 3 hours 30 minutes for 2 pm or 150 minutes from 2 pm.

In 150 minutes, there are eight 18 minutes that have passed and is remaining 6 minutes for the next multiple of 18.

Therefore, you have to wait for 6 minutes for the next weather update.
Note that 5:30pm is 3 hours and 30 minutes from 2:00pm. And 3 hours 30 minutes is equivalent to 3*60 + 30 = 210 minutes. Since the local weather updates every 18 minutes, we have to wait for multiples of 18 minutes for the next weather update. We can see that 18 goes into 210 eleven times with a remainder of 12. So we're 12 minutes pass the latest weather update at 5:00pm, meaning that we have to wait 6 minutes more for the next weather update.

Thus the answer is 6 minutes. 

what is the vertex , x coordinates , and x intercepts of y=2x ^2 + 4x-30

Answers

5.1      Find the Vertex of   y = x2-2x-15

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero). 

 Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions. 

 Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex. 

 For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   1.0000  

 Plugging into the parabola formula   1.0000  for  x  we can calculate the  y -coordinate : 
  y = 1.0 * 1.00 * 1.00 - 2.0 * 1.00 - 15.0
or   y = -16.000

A drawing of a garden uses a scale of 1 in 3 ft. Find the length of the drawing is 13 inches

Answers

So we know each inch is 3 feet.

1:3.

13:?

So we multiply 13 by 3 to get the answer!

13:39

or 39 feet!

I hope this helped! :))

The length of the original drawing will be 39 feet.

Given scale:

1 inch = 3 feet

Length of the drawing = 13 inches

What is a scale factor?

A scale factor is a factor by which the dimensions of an object are enlarged.

1 inch = 3 feet

So, 13 inches =13*3 feet

13 inches =39 feet

So, the length of the original drawing =39 feet.

Hence, the length of the original drawing will be 39 feet.

To get more about scale factors visit:

https://brainly.com/question/1903243

Erica's cell phone bill for July was $82. She sent a check for $50 and then made $37 worth of calls in August. How much did she owe on her cell phone bill?

Answers

the Answer is -69 because if you lay out the problem it is -82+50-37=-69

There are 16 sixth graders and 20 seventh graders in the robotics club. For the first project the club sponsor wants to organize the club members into equal size groups. Each group will have only sixth graders or only seventh graders how may students will be in each group if each group has the greatest possible numbers of club members?

Answers

You will have 9 groups and the max will be 4 people in each group

Answer:

There will be 4 students in each group and there will be 9 groups.

Step-by-step explanation:

There are 16 sixth graders and 20 seventh graders in the robotics club.

As we have to find the number of students that will be in each group if each group has the greatest possible numbers of club members, so we will find the HCF or highest common factor of 16 and 20.

16 = 2 x 2 x 2 x 2

20 = 2 x 2 x 5

HCF = 2 x 2 = 4

So, 16 sixth graders will be divided in [tex]\frac{16}{4}=4[/tex] groups

20 seventh graders will be in [tex]\frac{20}{4}=5[/tex] groups

total groups = [tex]4+5=9[/tex]

Hence, total there will be 9 groups with 4 students in each group.

Amanda purchased a storage cube that has a volume of 4 cubic feet. She wants to put it on a bookshelf that is 12 inches tall. Will the cube fit? Explain

Answers

The answer is No, the cube will not fit because 4 cubic feet is 48 inches, and the bookshelf is only 12 inches, Therefore, the cube is basically larger than the bookshelf. Hope this helps and sorry I’m late.

Ogden and Sylvio are both running backs for their respective football teams. Sylvio ran for a total of 82 yards while Ogden ran for a total of -21 yards. What is the difference in the number of yards they ran?

Answers

The difference between the yards is -103

Is 15/2 greater then square root of 55

Answers

Final answer:

Yes, 15/2 is greater than the square root of 55.

Explanation:

To compare whether 15/2 is greater than the square root of 55, we can convert both expressions to decimal form.

15/2 = 7.5 and √55 ≈ 7.416. Therefore, 15/2 is greater than the square root of 55.

Other Questions
The points (6,8) and (5,5) fall on a particular line.what is the slope of the line passing through those points? show your work? Since 1960, when the central american beef market began booming, over 25% of the rainforests have been cleared for cattle grazing. a. True b. False Consider (test a - test b). use a 0.05 significance level to test the claim that people do better on the second test than they do on the first. (note: you may wish to use software.) The degree of the polynomial function f(x) is 4.The roots of the equation f(x)=0 are 6 , 2 , 1, and 3.Which graph could be the graph of f(x) ? Read the following sentence and select the correct rule for using the preposition por.Caminamos por la playa."on behalf of," "for the sake of," "in place of"for an "exchange""during" or "for" when referring to length of time"along," "by," "through" If two sides of a triangle measure 12 and 7, whichcannot be the perimeter of the triangle The first shopping center in the nation, an innovation of the 1920s, was built in which city which of the following elements helps develop the author's viewpoint? a.) first-person point of view b.) characters c.) the authors choice of words d.) statics En qu universidad se encuentran algunos de los tesoros encontrados en Machu Picchu?a.Universidad de Yalec.Universidad de Harvadb.Universidad de Oro y Platad.Universidad europea Before the constitution was even written, two parties emerged vying for a direction for america. name them and their characteristics the federalists who wanted a strong federal government and the republicans who wanted freer elections the anti-federalist who were against a strong government and the whigs who wanted states to have more power whigs who wanted a standing militia and the federalists who wanted a federal reserve the federalists who wanted a strong centralized government and the anti-federalist who wanted to restrict the federal government and give states more freedoms and legal control Explain whether or not you think the relationship is linear or not.The pond in Toms backyard holds 50 gallons of water and recedes at a rate of 5 gallons per day. Which best describes the effect of a tariff on the import of cars from a foreign country? The 2011 super bowl had an attendance of 103,219 people. If the headline in the newspaper the next day read, about 200,000 people attend super bowl, is the newspapers estimate reasonable? Use rounding to explain your answer t was we, the people; not we, the white male citizens; nor yet we, the male citizens; but we, the whole people, who formed the Union. And we formed it, not to give the blessings of liberty, but to secure them; not to the half of ourselves and the half of our posterity, but to the whole peoplewomen as well as men.Which quotation correctly uses ellipsis to shorten Anthonys words?It was we, the people . . . the whole people, who formed the Union. And we formed it, not to give the blessings of liberty, but to secure them; not to the half of ourselves and the half of our posterity, but to the whole peoplewomen as well as men.It was we, the people . . . not we, the white male citizens; nor yet we, the male citizens; but we, the whole people, who formed the Union. And we formed it, not to give the blessings of liberty, but to secure them; not to the half of ourselves and the half of our posterity . . . .It was we . . . the male citizens; but we, the whole people, who formed the Union. And we formed it, not to give the blessings of liberty, but to secure them; not to the half of ourselves and the half of our posterity, but to the whole peoplewomen as well as men.It was we, the people; not we, the white male citizens; nor yet we, the male citizens; but we, the whole people, who formed the Union. And we formed it, not to give the blessings of liberty . . . to the whole peoplewomen as well as men What describes using organisms that were only alive during a specific time period to estimate the unknown age of items? Claudia is reading a book that has 360 pages. she read some book last week. She plans to read 46 pages today when she does she will be 4/5 of the qay through the book. How many pages did she read last week? the velvet revolution in the late 1980s resulted in Czechoslovakia A. becoming a democracyB. Joining the European union C. Battling soviet forces D. electring a communists leader Help me with this question What is the value of n in the equation below? 12^n/12^5=12^4 Maths question!!! The angles in triangle ABC are given in degrees, prove that AB=AC Steam Workshop Downloader