David's car could cover one lap of the Indy 500 in about 90 seconds. Chris' car could cover one lap in about 54 seconds. If both cars left the same starting point at the same time, after how many seconds would they meet again at the starting point?

Answers

Answer 1

Answer:

h

Step-by-step explanation:


Related Questions

5) What is the lowest form of ratio for 84:99

Answers

The lowest form of the ratio 84 : 99 is 28 : 33.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, A ratio 84 : 99.

The lowest form of the ratio is when it can not be simplified further.

∴ 84 : 99.

= 28 : 33

learn more about proportion here :

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find the value of x that makes the lines parallel 3x-9 2x-1​

Answers

Answer:

x=8

Step-by-step explanation:

set the equations equal to themselves and solve

3x-9=2x-1

+9 and -2x

x=8

Check:

3(8)-9=2(8)-1

24-9=16-1

15=15

Help me ASAP major grade

Answers

Answer:

$5.58

Step-by-step explanation:

Because divide 12 by 67:

67 ÷ 12 = 5.58

5.58 is the answer

Hope this helped! Pls Brainliest!

Answer:

$5.58

Step-by-step explanation:

$67.00÷12=$5.58

Hope this helps!

3xsquared +13x-10

HELPP PLEASE

Answers

Answer:

(x + 5)(3x - 2)

Step-by-step explanation:

Assuming you require the expression factorised.

3x² + 13x - 10

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

The factors are + 15 and - 2

Use these factors to split the x- term

3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )

= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term

= (x + 5)(3x - 2) ← in factored form

What is the quotient? −678÷(−334)

Answers

Answer:

2.03

Step-by-step explanation:

PLEASE HELP!!!!! Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin. Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?

Answers

Answer: A rotation of 180° around the origin.

Step-by-step explanation:

When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.

This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.

Now, let's analyze our case:

First a reflection over x-axis, and then a reflection over the y-axis.

This means that if our point starts in quadrant 1 then:

-The reflection over the x-axis will leave our point in quadrant 4.

-The reflection over the y-axis will leave our point in quadrant 3.

Now, if our point stated on quadrant 2.

-The reflection over the x-axis will leave our point in quadrant 3.

-The reflection over the y-axis will leave our point in quadrant 4.

So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.

This means that:

The distance between our point and the x-axis does not change.

The distance between our point and the y-axis does not change.

But if the distances to both axes do not change, then the distance between our point and the origin also does not change.

This means that we can find a rotation that is equivalent to this transformation.

So we must look at a rotation that moves our point 2 quadrants.

a rotation that moves our point 2 quadrants will be:

A rotation of 180° around the origin.

Find an ordered pair (x, y) that is a solution to the equation.
5x + y=9

Answers

Answer:

Some points are: (1, 4), (0, 9), and (3, -6), just to name a few.

Step-by-step explanation:

We can find out an ordered pair for this equation by plotting the line 5x + y = 9 on a graph. If you graph 5x + y = 9, then we see that the point (1, 4) is a point that the line intersects. Let's substitute that values:

5(1) + 4 = 9

Order of operations, multiply first...

5(1) = 5

Then it becomes...

5 + 4 = 9

We can see that 5 plus 4 actually does equal 9, so the point (1, 4) works. Let's try a different point. We can see the point (0, 9) is another point that the line intersects. Same process for this point too.

5(0) + 9 = 9

Then...

5(0) = 0

0 + 9 = 9

We see that 0 plus 9 ALSO works, but let's try one more time. Another point that works is the point (3, -6) Again, same process.

5(3) + -6 = 9

That is equal to:

5(3) - 6 = 9

Simplify...

5(3) = 15

15 - 6 = 9

15 minus 6 works as well! Any point that the line intersects will be a solution for the equation. I hope this helps!

What is the quotient of -32/8?

Answers

Answer:

Hope it help you

Stayhomestaysafe

Plz mark my answer brainliest✍️✍️

Step-by-step explanation:

[tex] - 32 \div8 = - 4[/tex]

Answer is -4

REAL NAME - SHRESTH DUBEY

-4 is the Answer.

-32/8 would be -4

Find the perimeter and area of the figure

Answers

i believe the area is 40 and the perimeter is 32

f(x) = 3x2 – 12x +1
find the vertex.

Answers

Answer:

(2,-11) is the vertex

Answer:

              (2, -11)  

Step-by-step explanation:

[tex]f(x)=3x^2-12x+1\\\\f(x)=3(x^2-4x)+1\\\\f(x)=3(x^2-2\cdot x\cdot2+2^2-2^2)+1\\\\f(x)=3(\underline{x^2-4x+4}-4)+1\\\\f(x)=3[(x-2)^2-4]+1\\\\f(x)=3(x-2)^2-12+1\\\\f(x)=3(x-2)^2-11[/tex]

the vertex form of parabola's equation is: f(x) = a(x - h)² + k with vertex (h,k)

x-h = x-2  ⇒  h = 2

+k = -11    ⇒   k = 11

Explain the difference between (-5)2 and -52. Your answer:

Answers

Answer:

-5(2) is different from -52 because -5(2) equals -10.

Step-by-step explanation:

-5(x) implies that -5 is being multiplied by x. Any time 2 numbers (one in parenthesis) are next to each other without a symbol inbetween it implies multiplication

ayudaaaaaaaaaaaaaaaaa

Answers

the answer is c !!!!!!!

The ratio between earths actual diameter and it’s scaled diameter can be used to find the scaled diameter of the other planets. Earths diameter of 12,756 kilometers is scaled to 3.5 centimeters as shown in the table. Now let’s find the scaled diameter of Mars as an example. Using the calculations shown, Mars diameter of 6,792 would be scaled to 1.9 centimeters. Use this same process to complete the table with the scaled diameters of the other planets. Round each answer to the tenths place.

Answers

Answer:

Mercury 1.3, Venus 3.3, Jupiter 39.2, Saturn 33.1, Uranus 14, Neptune 13.6

Step-by-step explanation:

The scaled diameter of each planet is:

Mercury - 1.3 cm

Venus - 3.3 cm

Jupiter - 39.2 cm

Saturn - 33.1 cm

Uranus - 14 cm

Neptune - 13.6 cm

Given,

The ratio between the earth's actual diameter and its scaled diameter can be used to find the scaled diameter of the other planets.

Earth's diameter of 12,756 kilometers is scaled to 3.5 centimeters as shown in the table.

Using the calculations shown, Mars's diameter of 6,792 would be scaled to 1.9 centimeters.

Use this same process to complete the table with the scaled diameters of the other planets.

Round each answer to the tenths place.

What does it mean to be in proportion?

If two given ratios are equal we say that the ratios are in proportion.

Example:

1/2 and 4/8 are in proportion.

- 1/2

- 4/8 = 1/2

We have,

Earths diameter = 12,756 km

It is scaled to 3.5 cm

The ratio is:

= 12,756 km /3.5 cm

Since each planet is in proportion with each planet.

We have,

Let the scaled diameter be d.

- Mercury d

12,756 / 3.5 = 4879 / d

d =  (4879 x 3.5) / 12756

d = 1.3 cm

- Venus d

12,756 / 3.5 = 12104 / d

d = (12104 x 3.5) / 12756

d = 3.3 cm

- Jupiter d

12,756 / 3.5 = 142984 / d

d = (142984 x 3.5) / 12756

d = 39.2 cm

- Saturn d

12,756 / 3.5 = 120,536 / d

d = (120536. x3.5) / 12756

d = 33.1 cm

- Uranus d

12,756 / 3.5 = 51118 / d

d = (51118 x 3.5) / 12756

d = 14 cm

- Neptune d

12,756 / 3.5 = 49, 528 / d

d = (49528 x 3.5) / 12756

d = 13.6 cm

Thus the scaled diameter of each planet is:

Mercury - 1.3 cm

Venus - 3.3 cm

Jupiter - 39.2 cm

Saturn - 33.1 cm

Uranus - 14 cm

Neptune - 13.6 cm

Learn more about ratios in proportion here:

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Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an application fee, but charges $14 per month for membership. After how many months will the total cost of membership be the same for both gyms?

Answers

Answer:

Total cost of membership will be the same for both gyms after 5 months.

Step-by-step explanation:

Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.

Tami's Toning does not charge an application fee, but charges $14 per month for membership.

To find: After how many months will the total cost of membership be the same for both gyms

Solution:

Let [tex]t[/tex] denotes number of months after which total cost of membership will be the same for both gyms

For Suzy's Sculpting gym,

Total charges [tex]= 10+12t[/tex]

For Tami's Toning,

Total charges [tex]=14t[/tex]

Now solve [tex]10+12t=14t[/tex]

[tex]10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5[/tex]

So, total cost of membership will be the same for both gyms after 5 months.

is this correct if not can u tell me what I need to fix please!

Answers

Answer:

yes it is

Step-by-step explanation:

Answer:It Is correct

Step-by-step explanation:

What is the value of the expression 5(X+3) when X=-3?

Answers

Answer:

0

Step-by-step explanation:

5(x+3) replace x with -3

5(-3+3)

5(0)

0

-20/5= ???????

PLZ HELP

Answers

Answer:

-4

Step-by-step explanation:

the answer is negative 4
hope this helped!

PLEASE HELP FAST!! WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER ​

Answers

Answer:

80 degrees

Step-by-step explanation:

both intersections are the same, so we can count them as one. We notice that one line is a straight line compared to other so we can subtract 100 from 180 and get 80

Answer:

80

Step-by-step explanation:

Vertical angles equal 360 in total and the angles across from each other equal the same. 100 x 2 = 200

360-200 = 160

160/2 = 80

I hope this helps enjoy your day!

Which division problem does the model below show?

A. 4 divided by 1/6=24

B. 4 divided by 1/6=12

C. 24 divided by 1/6=4

D. 12 divided by 1/6= 4

Please help! Thank you!

Answers

Answer:

A

Step-by-step explanation:

Answer:I just had this question also it’s A, 4 divided by 1/6=24

Step-by-step explanation:

Maya is the manager for the track team. She created a table to compare finish times from the second practice to the first practice.

100 m Dash Finish Time Comparison
Runner
Second practice time compared to first practice time
Joshua
+1.03
Kedwin
–0.97
Leila
–0.95
Miguel
+1.1
Nicole
–0.87

Maya claims that the runners’ order of most improved to least improved is Miguel, Joshua, Nicole, Leila, and Kedwin. Which statement describes whether Maya is correct?
Maya is correct because she compared each digit in the same place value. Miguel added the most time to his sprint so he is most improved.
Maya is incorrect because –0.87 < –0.95 < –0.97. Runners that decrease times are improving, and those that add time are not improving.
Maya is incorrect because 1.1 < 1.03. She should switch the order of Joshua and Miguel because Joshua added more time to his run.
Maya is incorrect because she listed the runners from least improved to most improved. Runners that decreased times are improving, and those that add time are not improving.

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

its D i took test 2020 edge

can you help my sister once again theres 12 questions and they are due today and i want her to pass it thanks

Answers

Answer:

50,000 in scientific notation is 5 x 10^4

Step-by-step explanation:

10^4 = 10,000 x 5 = 50,000

(8x^4-64x^3+3x-28) / (X-8)

Answers

Answer:

[tex]8x^{3}+3-\frac{4}{x-8}[/tex]

Step-by-step explanation:

Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.

4 ( -x + 4 ) = 12
what is the value of x

Answers

Answer:

X=1

Step-by-step explanation:

Answer:

X = 1

Step-by-step explanation:

Coming in at lunch for extra math help has really paid off! You started out scoring
18 points on each quiz, but your number of points has been increasing 36% per
month for the last 5 months. How many points are you now earning per quiz?

Answers

Answer:

83 points.

Step-by-step explanation:

Write the slope-intercept form of the equation of the line.
-4 - y = -2x
A) y = 4x + 2
C) y = 2x - 4
B) y = -4x + 2
D) y = -2x + 2

Answers

Answer:

c

Step-by-step explanation:

-4 -y = -2x

+4           +4

-y = -2x + 4

multiple everything by -1 to get y by itself

y = 2x - 4

What is the rate of return for an investor who pays $1,054.47 for a 3-year bond with an annual coupon payment of 6.5% and sells the bond 1 year later for $1,037.19?What is the rate of return for an investor who pays $1,054.47 for a 3-year bond with an annual coupon payment of 6.5% and sells the bond 1 year later for $1,037.19?

Answers

Answer:

4.53%

Step-by-step explanation:

We are told that:

From the question, we have a 6.5 % coupon

Hence = 6.5 × $10

= $65

Price of the bond one year later = $1,037.19

$1,054.47 - $1,037.19

= $17.28

Rate of Return

= ($65.00 - $17.28)/$1,054.47

47.72 ÷ 1054.47 = 0.045254962

0.045254962 × 100 =

4.5254962 %

Approximately = 4.53%

writing equations of lines

Answers

Step-by-step explanation:

Equation of straight line is y=mx+c

choose any two points on straight line

for me I choose:(-3,11) and (3,-1)

use these two points to find gradient,m.

m= (-1-11)/(3-(-3))

m= -2

now, y=-2x+c

choose any point on the straight line

I choose point (3,-1)

sub the point into the equation to find c

-1=-2(3)+c

c=5

equation: y=-2x+5

Please help me with this.

Answers

Answer:

y = (-1/2)x + 4

Step-by-step explanation:

Slope (m): (-1/2)

down one, right two

y-intercept (b): 4

y = mx + b

The slope-intercept equation if the line is [tex]y=-\frac{1}{2}x+4[/tex]

To find the slope, you must put the 2 points into the slope equation.

[tex]\frac{3-4}{2-0}=\frac{-1}{2}[/tex]

And to find the y-intercept, you must find where the line crosses the y-axis.

(0,4)

At the carnival the ratio of rides to games was 9:8. For every ___games there are ___rides.

A.8 games, 17 rides
B.8 games, 9 rides
C.9 games, 17 rides
D.9 games, 8 rides

Answers

Answer:

The answer is B.8 games,9 rides

Match the correct scenario with the correct unit rate format.

Answers

1. meters/second

2. $/pound

3. $/ tire

4. people/class

5. miles/gallons

6. calories/serving

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