A racing track is shaped like an oval. Each time around
the track is 1.2 miles. The total distance for the
race is 480 miles.
What percentage is one lap around the track of
the total race?
(b) How many laps will it take to complete 75% of the
race?

Answers

Answer 1

Answer:

Percentage of one lap around the track of

the total race = 0.25%

It will take 300 laps to complete 75% of the race.

Step-by-step explanation:

1.2/480=0.0025

0.0025*100=0.25

480/100*75= 360

360/1.2=300


Related Questions

Simplify, and Write answer without parentheses

Answers

Answer:

w^18

Step-by-step explanation:

exponents are multiplied when there is a parenthesis between them

Answer:

[tex]w^{18}[/tex]

Step-by-step explanation:

the "power to a power" rule allows you to multiply those two exponents. [tex](x^{a} )^{b} =x^{ab}[/tex] is the formula for this rule. in this question, x is w, a is 3, and b is 6. we can multiply the 3 and 6 and get 18 and keep the base the same.

Need to review this problem for finals help pls

Answers

Answer:

Step-by-step explanation:

Slope form: y=mx+b

given slope and x intercept:

y=3x+b

let y=0

0=3(7)+b

b=-21

so:

ANSWER: y=3x-21

hi please help, I can't understand.
If the sides of a rectangle with area 12cm² are (3x-2) and (x+1)
a)X-? b)P-?​

Answers

The sides of a rectangle with area 12cm² are (3x-2) and (x+1).We know, area of a rectangle = length × breadthTherefore, by the problem

[tex](3x - 2)(x + 1) = 12 \\ = > {3x}^{2} - 2x + 3x - 2 = 12 \\ = > {3x}^{2} + x - 2 = 12 \\ = > {3x}^{2} + x - 12 - 2 = 0 \\ = > {3x}^{2} + x - 14 = 0 \\ = > {3x}^{2} + 7x - 6x - 14 = 0 \\ = > x(3x + 7) - 2(3x + 7) = 0 \\ = > (x - 2)(3x + 7) = 0 \\ = > x = 2 \: \: \: or \: \: \: \frac{ - 7}{3} \\ [/tex]

But a negative number cannot be the side of a rectangle.So, x = 2 cmNow, length = (3x - 2) = (3 × 2 - 2) cm = (6 - 2) cm = 4 cmBreadth = (x + 1) = (2 + 1) cm = 3 cm.We know, perimeter of a rectangle = 2( length + breadth)Therefore, the perimeter of the rectangle

[tex] = 2(4 + 3)cm \\ = 2 \times 7cm \\ = 14cm[/tex]

Answer:

The value of x is 2 cm and the perimeter of the rectangle is 14 cm.

Hope you could get an idea from here.

Doubt clarification - use comment section.

So first of all u have to make an equation. u know that length times width is the area 12. (3x-2) multiplied by (x+1) which is 3x^2+3x-2x-2 then simplified its 3x^2+x-2. THEN MAKE IT EQUAL TO 12 BC 12 IS THE AREA. so 3x^2+x-2=12 then use the quadratic formula to find x u can either use quadratic formula or factorising. I used factorising to get (x-2)(3x+7)=0 x=2 or x=-7/3. Sub in 2 into the equation 3x^2+x-2=12 to get 3(2)^2+2-2=12 so it will be 36+2=38 and then 38-2=36. That doesn’t sum up 12 so that isnt x. Then sub in -7/3 as x. So 3(-7/3)^2+(-7/3)-2. When u multiple that out it will give you 12. SO X IS 12. Then to work out the perimeter double the sides given (3x-2) and (x+1). That will be 6x-4+2x+2. Simplify to get to 8x-2. Then sub in your x (-7/3) to get 392/9. If u want u can leave it as a fraction or decimal 43.55555… where 5 is recurring. That is your perimeter. It looks confusing but trust me you will get :). Thank you

Chang made $156 for 13 hours of work at the same rate, how many hours would he have to work to make $108?

Answers

Answer:

  9 hours

Step-by-step explanation:

"At the same rate" means time and wages are proportional.

  time/wages = t/$108 = (13 h)/$156

  t = 108(13 h)/156 . . . . . . . . . . . . . . . units of dollars cancel

  t = 9 h

Chang would have to work 9 hours to make $108.

Can someone help me please?

Answers

Answer:   a=(3,-4)

                B=(3,-1)

                C=(5,-2)

Step-by-step explanation:

Answer the following.
1 Bharat borrows a certain sum of money at
5% pa. If he pays 2000 as simple interest
at the end of the first year, find the sum he
borrowed

Answers

Answer:

40000

Step-by-step explanation:

Simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex]

P is the amount borrowed , R is the interest and T the time in years

Here I = 2000 , R = 5 and T = 1 with P to be found , then

2000 = [tex]\frac{P(5)(1)}{100}[/tex] ( multiply both sides by 100 )

5P = 200000 ( divide both sides by 5 )

P = 40000

Answer:

The sum (Principal) is Rs.4000.

Step-by-step explanation:

Given :

Simple interest = Rs.2000Time = 5% per annum Time = 1 year

To Find :

Principle

Using Formula :

[tex]\star\small{\underline{ \boxed{\sf{\red{S.I = \dfrac{P \times R \times T}{100}}}}}}[/tex]

S.I = Simple Interest P = Principle R = Rate T = Time

Solution :

Substituting all the given values in the formula to find the Simple Interest :

[tex]{\dashrightarrow{\small{\sf{S.I = \dfrac{P \times R \times T}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5 \times 1}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{5P}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \dfrac{100}{5}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \cancel{\dfrac{100}{5}}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P = 2000 \times 20}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P =Rs.40000}}}}[/tex]

[tex]\star\small{\underline{ \boxed{\sf{\red{P = Rs.40000}}}}}[/tex]

Hence, the sum Bharat borrowed is Rs.40000.

[tex] \rule{190}1[/tex]

Need help on this one thanks

Answers

Answer:

Y = 10/7X + 4

Y intercept = 4

Slope = 10/7

X intercept = -40/7

Step-by-step explanation:

Incase you are asked the equation of the line

The slope intercept equation is as follows -

(1)....Y = mx + b

where m - Slope

b - Y - intercept

the standard formula of slope which is commonly referred to as "the rate of change" is -

(2) .....m= Y2 - Y1 / X2 - X1

in this case you can refer to the final and initial X and Y values directly from the small points on the line.

and so(3)..... - X1 = -6 X2 = 6

- Y2 = 9 Y1 = -1

the y intercept is defined as the value we get whenever X id zero. and X has a value of zero when a line crosses the y axis.

thus, X = 0 & Y = 4 ( 0 , 4 )

now lets substitute our values(3) into the slope formula (equation 2)

m = 9 - - 1 / 6 - - 1 = 10/7

now that we found the line's slope, let's simply plug the y intercept

into the slope intercept formula (1)

Y = 10/7X + 4

help me with this question plz with an explanation

Answers

Answer:

374mm squared

Step-by-step explanation:

Bottom rectangle can be cut off to equal 52mm, by multipling 4 by 13

the rest is 14*23, which equals 322mm

add those together to get 374mm squared

Answer:

374 square millimeters

Step-by-step explanation:

First, we can split the shape into 2 rectangles.

This will give us a rectangle with a width of 13 and 10.

Let's work out 1 rectangle at a time.

Area of a rectangle=Width times by legth

13*18=234- This is the area of 1 of the rectangles.

10*14=140- This is the area of the second rectangle

Now we add the areas together to get 374 square millimeters, which is the area of this figure.

Could someone please help me

Answers

The answer should be (x1,y1) =(-2,5) and then (x2,y2)=(-1,4)

What is a bond and how do you make money from it?

Answers

Answer:

Bonds are among a number of investments known as fixed-income securities. They are debt obligations, meaning that the investor loans a sum of money (the principal) to a company or a government for a set period of time, and in return receives a series of interest payments (the yield).

Step-by-step explanation:

What is the solution to the system of equations?

Answers

Answer:

(-2, 5/3)

Step-by-step explanation:

Substitute x with -2 and solve

y = 2/3(-2) + 3

Multiply 2/3 and -2

y = -4/3 + 3

Add

-4/3 + 3 = 5/3

y = 5/3

Final answer:

(-2, 5/3)

giving brainliest to anyone who solves this question CORRECTLY WITH NO LINKS

5 ti the fifth power + 16 divided by 19 times 20 plus one equals ?????

Answers

Answer:

3307.31578947

Step-by-step explanation:

Answer:

I believe it's [tex]\frac{62839}{19}[/tex], or 3307.31578947

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

brainliest will be immensely appreciated uwu

Solve the quadratic equation 2x2 – x = 15 using the quadratic formula.

Question 6 options:


A)


x = –3, x = –5∕2


B)


x = –3, x = 5∕2


C)


x = 5∕2, x = 3


D)


x = – 5∕2, x = 3


which one is right. keep it simple

Answers

Answer:

B) x = 3 or x = -5/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 - x = 15

Subtract 15 from both sides:

2 x^2 - x - 15 = 0

x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:

x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4

sqrt(121) = sqrt(11^2) = 11:

x = (1 + 11)/4 or x = (1 - 11)/4

(1 + 11)/4 = 12/4 = 3:

x = 3 or x = (1 - 11)/4

(1 - 11)/4 = -10/4 = -5/2:

Answer:  x = 3 or x = -5/2

How i can answer this question

Answers

Answer:

6x

Step-by-step explanation:

7x-x = x ( 7-1) = 6x

Answer:

6 x

Step-by-step explanation:

Subtract  x  from  7 x .

A Coke can has a radius of 4 cm and a height of 11 cm. What is the volume of the can?

Answers

Answer:

V ≈ 552.9 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × 4² × 11 = π × 16 × 11 = 176π ≈ 552.9 cm³ ( to the nearest tenth )

Answer:

The volume of Coke can is 552.64 cm².

Step-by-step explanation:

Given :

✧ Radius of Coke can = 4 cm.✧ Height of Coke can = 11 cm.

To Find :

✧ Volume of Coke can

Using Formula :

[tex]{\star{\small{\underline{\boxed{\sf{\red{V_{(Can)} = \pi{r}^{2}h}}}}}}}[/tex]

✧ V = Volume ✧ π = 3.14 ✧ r = radius ✧ h = height

Solution :

Here's the Coke can is in cylindrical form.

So, finding the volume of Coke can by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{Volume_{(Can)} = \pi{r}^{2}h}}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4)}^{2} \times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4 \times 4)}\times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(16)}\times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {16}\times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314}{100} \times {16}\times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314 \times 16 \times 11}{100}}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{5024 \times 11}{100}}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{55264}{100}}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}[/tex]

[tex]\star{\red{\underline{\boxed{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}}}[/tex]

Hence, the volume of Coke can is 552.64 cm².

What polygon is shown below?
O A. Square
O B. Rhombus

Answers

Answer:

The answer is Option B, Rhombus

Step-by-step explanation:

The picture shows that it is indeed a Rhombus.

The given below is rhombus.

what is polygon?

A polygon is a two-dimensional geometric figure that has a finite number of sides.

As, per the figure the given figure is a quadrilateral.

As its four sides are equal.

So, it can be a side or rhombus but the corner angle are not 90 degrees,

Hence, the given figure is Rhombus.

Learn more about polygon here:

https://brainly.com/question/10441863

#SPJ5

Is the slope of AC the same as the slope of DF? Explain

Answers

Answer:

yes

Step-by-step explanation:

because df is -2/3 and ac is -6/9 which is the same as -2/3

A marquee with the dimensions as shown is
made from canvas. The marquee has no floor.
Find the total cost of the canvas if it costs
$31.50 per square metre.

Answers

Answer:

$63.00

$31.50×2=$63.00

Meg visited her Aunt Clare for lunch. After they ate, Aunt Clare made tea. She put the same amount of black tea and milk in both their cups, but Meg decided to add some extra milk to hers. Which cup of tea was darker after they had finished adding milk?

Answers

Answer:

Aunt Clare

Step-by-step explanation:

Milk makes tea weaker, therefore the one with less milk (Aunt Clare's) is darker.

Answer:Aunt clares is darker

Chanel says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: rotate it 90 degrees counterclockwise, and then dilate it by a scale factor of .

Preston says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: reflect it across the x-axis, and then dilate it by a scale factor of .

Answers

Answer:

it changes it by putting it into quadrant 2.

Step-by-step explanation:

(x,y) → (x,-y)

KLMN is an upside down image of PQRS So it was reflected across the x axis and then scaled by 1/2

Preston is correct

Find the total surface of :

Answers

Answer:

=2112cm²

Step-by-step explanation:

radius=14cm

height=10cm,

Curved surface area of cylinder=2πrh

=2×22÷7×14×10

=880cm²

Base area of cylinder=πr²

=22÷7×14×14

=616cm

Whole surface area of cylinder=2πr(r+h)

=2×22÷7×14(14+10)

=2×22÷7×14(24)

Hope this helps(srry for my bad handwriting)

Which point is located at (Negative 1, 1 and one-fourth)? A B C D​

Answers

Answer:

Point A

Step-by-step explanation:

Look along the x axis (horizontal) and find -1. Then look on the y axis and find 1 and 1/4. Finally, find where the two coordinates meet and that's your point - A.

Hope this helps!

A study is testing the effectiveness of a new allergy medication. Sixty people who reported they experience allergies were randomly assigned to one of two groups: one with the new medication, and another with a placebo. After two weeks, the subjects were surveyed by technicians to determine their level of allergic symptoms.

Which of the following would benefit this experiment the most?

This experiment should be double blind. Neither the subject nor the technician should know which group is receiving the new medication and which is receiving the placebo. This method would control for the placebo effect and prevent any effect on the response.
This experiment should be single blind. The subjects do not know which treatment they are receiving to control for the placebo effect, but the technicians need to know which group received which treatment.
This experiment should be single blind. The subjects know which treatment they are receiving but the technicians do not know which group received which treatment, so the response being measured is not affected.
This experiment should not use blinding. It is unethical for the subjects not to know which treatment they are receiving, placebo or new medication, and for the technicians not to know which group received which treatment.

Answers

The best method that would lead to a more effective study is:

This experiment should be double blind. Neither the subject nor the technician should know which group is receiving the new medication and which is receiving the placebo. This method would control for the placebo effect and prevent any effect on the response.

Double blind experiments are usually better than single blind experiments because they will account for experimenter bias which is where the technicians influence the project whether knowingly or unknowingly.

The placebo effect is also better studied because the participants will not know whether they are receiving a placebo or the real thing.

In conclusion, option A is correct.

Find out more about double blind experiments at https://brainly.com/question/9292513.

Answer:

A ON EDGE2022 :)))))))

Step-by-step explanation:

What is the distance from 5,1 and 2,1

Answers

Use this rule it will help

Answer:

2.0

Step-by-step explanation:

This question has 3 parts: subject (distance), and numbers (5.1 and 3.1).

Distance means subtraction. Between means to 5.1 and 3.1 .

So 5.1 - 3.1 = 2.0

5/12 of the pupils in yr9 say their favourite colour is red. There are 180 pupils in yr9. How many students said red is their favourite colour?

Answers

Answer:

75 students

Step-by-step explanation:

180*5/12=75

Mattie Evans drove 350 miles in the same amount of time that it took a turbopropeller plane to travel 1350 miles. The speed of the plane Has 200 mph faster than
the speed of the car. Find the speed of the plane.

(Simplify )

Answers

let

d1 = 250 mi the distance that Mattie Evans drove

v1 = the speed of Mattie Evans

d2 = 1300 mi the distance the plane traveled

v2 = the speed of the plane

The speed of the plane was 190 mph faster than the speed of the car:

v2 = v1 + 190

since time = distance/speed and they both traveled the same time we have

d1/v1 = d2/v2

250/v1 = 1300/v2 cross multiply

250v2 = 1300v1 divid eboth sides by 50

5v2 = 26v1

by solving the system of equations:

v2 = v1 + 190

5v2 = 26v1

we find

v1 = 45.24 mph

v2 = 235.24 mph

What is the value of b for the following circle in general form? x2 + y2 + ax +by+c=0​

Answers

Answer:

Step-by-step explanation:

(1). (x - h)² + (y - k)² = r²

where (h, k) are coordinates of a center of the circle with radius r

(2). ( a ± b )² = a² ± 2ab + b²

~~~~~~~~~~~~~~

( 1 , - 2 ) ; r = 3

( x - 1 )² + ( y + 2 )² = 3²

x² - 2x + 1 + y² + 4y + 4 = 9

x² + y² - 2x + 4y - 4 = 0

a = - 2

b = 4

c = - 4

please help me with this question

at the first blank there are options either (y-intercept, slope, x-intercept)

second blank (positive, negative, 0, a whole number)

Answers

Answer:

y-intercept

zero

Step-by-step explanation:

We can determine the differences between proportional and non-proportional situations or relationships. We all need to know that linear relationships can be represented as tables, words, equations, and graphs. The non-proportional relationship will affect the y-intercept in the graph and it will no longer than zero and the ratios in the table not be proportional.

I will give brainiest to the best answer.
what is half of the square root of 72?
Plz answer in square root form. Thank you

Answers

Answer:

3sqrt(2)

Step-by-step explanation:

72=6^2 x 2 so sqrt(72)=6sqrt(2)

divide by 2 to get 3sqrt(2)

Answer:

[tex]answer \: is \: = \: \sqrt[6]{2} [/tex]

[tex]to \: know \: the \: answer \: with \: proof[/tex]

[tex]refer \: to \: the \: above \: attatchmet \: [/tex]

Hope this helps you !!

What is 4/6 divided by 3/12 what is the quotient

Answers

Answer: 8/3, 2 2/3

Step-by-step explanation:

reciprocal of 3/12 is 12/3

soooooo

4/6 x 12/3

which is 48/18

u can divide that by 6

which is 8/3

or 2 2/3

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