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Paula leaves home driving 40 miles per hour. One hour
later, her brother Dan leaves home, driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula?

Answers

Answer 1
Since Paula left home an hour ago driving at 40mph, it means she has already gone 40 miles by the time Dan left. Dan is driving at 50mph, which is 10 greater than 40. This means that every hour, Dan will drive 10 more miles than Paula, lessening their difference by 10. 40 divided by 10 is 4, so iit will take Dan 4 hours to catch up to Paula:)

Related Questions

g(x)= x+5
Describe the transformation


Answers

the function was translated up 5 units

i don't understand how to solve this 136 - (-128.6) =​

Answers

Answer:

264.6

Step-by-step explanation:

Answer:

264.6

Step-by-step explanation:

ok first of all if you are subtracting a negative the it becomes a positive

136 - (-128.6)

136 + 128.6

this is what goes on in my head you don't have to do it this way but i do

100 + 100 = 200

30 + 20 = 50

6 + 8.6 = 14.6

200 + 50 + 14.6 = 264.6

The graph represents how kyren spent her allowance this week. If her allowance was $20, how much did she spend on the spirit shirt

Answers

Answer:8 Dollars

Step-by-step explanation: The whole is 100 so you add 50 and 10 together which is the lunch and candy which equals 60 then you subtract the whole number 100 by 60 giving you 40 which is the percentage of 20 that was spent on the spirit shirt.And the way I do it is 10 percent of 20 is 2 so times 2 by 4 which gives you 8 dollars.

The value of $y$ varies inversely as $\sqrt x$ and when $x=2$, $y=4$. What is $x$ when $y=1$?

Answers

$x=3$ I think that’s it... try that

if m<1=27 degrees find the m<4

Answers

Answer:

Can you specifiy?

Step-by-step explanation:

Is 0.584... rational or irrational

Answers

Answer:

Its irrational since it’s never ending

Step-by-step explanation:

rational numbers are usually perfect squares and since that’s repeating it’s not A erfect square instead its irrational since it never ends

Answer:

0.584... is irrational

Step-by-step explanation:

This is because the decimal can't be made into a ratio or fraction because it doesn't terminate.

What is 4x+7=39

Solve for two step equation.

Answers

Answer:

8

Step-by-step explanation:

Step 1:

4x + 7 = 39      Equation

Step 2:

4x = 32     Subtract 7 on both sides

Step 3:

x = 32 ÷ 4      Divide

Answer:

x = 8

Hope This Helps :)

Aaliyah wants to download 50 songs on her phone, but her phone has room for only a third of the songs. How many songs can she download?

Answers

Answer:

16 songs.

Step-by-step explanation:

If Aaliyah has 50 songs, but her phone can only hold a third of those songs, to solve this problem, we will have to find a third of 50.

Divide 50 into 3:

[tex]50[/tex] ÷ [tex]3[/tex]

[tex]=16.6666...[/tex]

As this decimal does not terminate, we'll have to round down to [tex]16[/tex] since we cannot have a portion of the song downloaded.

Therefore, Aaliyah can download 16 songs on her phone.

What is the volume of a pencil box that is 10 cm high, 18 cm wide, and 1.6 cm long?

Answers

Answer:

288

Step-by-step explanation:

L × W × H = V10 × 18 × 1.6 = 288

I hope this helps!

evaluate the determinant please answer i have limited time

Answers

See Explanation

Step-by-step explanation:

[tex] \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \\ \\ = 4 \times 1 - 3 \times 2 \\ \\ = 4 - 6 \\ \\ = - 2[/tex]

[tex] \begin{bmatrix} 4 & 2 & 6 \\ - 1 & - 4 & 5\\ 3 & 7 & 2 \end{bmatrix} \\ \\

=4(-4\times 2-5\times 7)\\ -2(-1\times 2-5\times 3)\\ +6(-1\times 7-(-4)\times 3)\\\\

= 4(-8-35) -2(-2-15) \\+6(-7+12)\\\\

= 4(-43) -2(-17) +6(5)\\\\

= - 172 + 34 + 30\\\\

= 64 - 172\\\\

= - 108 \\[/tex]

Order the decimals from greatest to least. 976.627 , 976.328 , 978.327

Answers

Answer:

976.627, 976.328, and 978.327

Step-by-step explanation:plz give Brainlyest

Answer: (Greatest: 978.327) (Middle: 976.627) (Least: 976.328)

Step-by-step explanation: Hope this helps!

Find the unit rate. Round to the nearest hundredth, if necessary.

$1.99 for 19 lb

The unit rate is $__________/lb.

Answers

Answer: $ 0.1047

Step-by-step explanation:

answerr 5 & 6 pleaseee

Answers

2 , 10 on here why do we need like 20 characters though

How many solutions do the following equations have?
Please show steps

8x + 10 = 8x - 7

Answers

Answer:

No Solutions

Step-by-step explanation:

Step 1:

8x + 10 = 8x - 7      Equation

Step 2:

10 = - 7    Subtract 8x on both sides

Step 3:

10 ≠ - 7    No Solutions

Answer:

No Solutions

Hope This Helps :)

Step-by-step explanation:

it has 8 because it got both numbers of 8

Name the slope and the y intercept for the equation y= 5x -7

Answers

Answer:

The slope is 5 and the y intercept is -7

Step-by-step explanation:

the x value coefficient is the slope, and the coefficient with no variable is your y intercept

Which functions are symmetric with respect to the origin?

y = arcsinx and y = arccosx
y = arccosx and y = arctanx
y = arctanx and y = arccotx
y = arcsinx and y = arctanx

Answers

Answer:

The correct option is;

y = arcsinx and y = arctanx

Step-by-step explanation:

The given options are;

1) y = arcsinx and y = arccosx

Here, we have at the origin, where x = 0,  arccosx ≈ 1.57 while arcsinx = 0

Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin

2)  y = arccosxy and y = arctanx

Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical

3) y = arctanx and y = arccotx

Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical

4) y = arcsinx and y = arctanx

Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.

The function are symmetric with respect to the origin is y = arcsinx and y = arctanx and this can be determined by using the trigonometric property.

The following steps can be used in order to determine which functions are symmetric with respect to the origin:

Step 1 - Check all the options given in order to determine which functions are symmetric with respect to the origin.

Step 2 - Substitute (x = 0) in option a), that is:

[tex]\rm y = sin^{-1}(0)=0[/tex]

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

Step 3 - Substitute (x = 0) in option b), that is:

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

[tex]\rm y = tan^{-1}(0)=0[/tex]

Step 4 - Substitute (x = 0) in option c), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = cot^{-1}(0)=1.57[/tex]

Step 5 - Substitute (x = 0) in option d), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = sin^{-1}(0)=0[/tex]

For more information, refer to the link given below:

https://brainly.com/question/13710437

*Hard*
Look at attachment or picture

Answers

Answer:

x = 10.5

Step-by-step explanation:

Work in the screenshots

I used a online calculator

symbolab. com

what is the area and perimeter of this triangle

Answers

Answer:

A = 2044 sqcm; P = 221 cm (PLEASE DOUBLE CHECK CALCULATIONS!!)

Step-by-step explanation:

the area of a triangle is half of its base times height.

the base and the height must be perpendicular to each other; so they would be 56 and 73.

56(73)/2=2044

the perimeter is the sum of all the sides

73+56+92=221

The area of the right-angled triangle is 2044 cm² and the perimeter of the right-angled triangle is 221 cm.

To find the area and perimeter of a right-angled triangle with dimensions 73 cm, 92 cm, and 56 cm.

Area of a right-angled triangle:

The area of a triangle can be found using the formula:

A = (1/2) x base x height

Plugging these values into the formula, we get:

A = (1/2) x 73 cm x 56 cm

A = 2044 cm²

Therefore, the area of the right-angled triangle is 2044 cm².

Perimeter of a right-angled triangle:

The perimeter of a triangle is the sum of all its sides.

In this case, the sides of the triangle are 73 cm, 92 cm, and 56 cm.

Perimeter = 73 cm + 92 cm + 56 cm

Perimeter = 221 cm

Therefore, the perimeter of the right-angled triangle is 221 cm.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ6

Over the next 15 months you have to read at least 75 books. You have to read x books per month. The inequality "75 is greater than or equal to 15x" represents this situation. Solve the inequality to find the number of books you have to read per month.

Answers

Answer:

  you have to read at least 5 books per month (on average)

Step-by-step explanation:

The given inequality is incorrect. "At least 75" means "greater than or equal to 75", so the inequality should be ...

  15x ≥ 75

  x ≥ 5 . . . . . . divide by 15

You have to read at least 5 books per month.

Erik drives 19.2 miles in 16 minutes.
He passes a sign which gives the speed limit as 65 mph.
By how much, in mph, did Erik's average speed exceed the speed limit?

Answers

The average speed exceeding the speed limit is mathematically given as

6.91 kilometers per hour

This is further explained below.

What is the average speed exceeding the speed limit?

Let's assume that Erik maintains a steady pace during the whole trip.

Therefore, the following equation of motion may be used to compute the speed, which is expressed in terms of miles per hour:

Where: miles is the unit of measurement for distance.

t stands for time, which is measured in hours.

Kindly take into account that one hour is comprised of sixty minutes. If we assume so, then we can calculate Erik's speed as follows:

[tex]\begin{aligned}&v=\frac{19.2 m i}{0.267 h} \\\\&v=71.910 \frac{m i}{h}\end{aligned}[/tex]

In conclusion, That is 6.91 kilometers per hour faster than the allowed speed limit.

Read more about  average speed

https://brainly.com/question/12322912

#SPJ1

The area of a square tile is 50 square centimeters. To the nearest tenth of a centimeter, how long is one side of this tile?
plz help

Answers

Answer:

7.1 cm

Step-by-step explanation:

50 squared is closest to 7, which is the square root of 49.

I need the answer ASAP I'm being timed on this please help.​

Answers

Answer:

61.67 supplementary

Step-by-step explanation:

good luck!

Answer:

A

Step-by-step explanation:

give brainliest

supplementary  61.67

Open the parallel lines translation application. The right set of parallel lines is a translation right 10 units of the left set of parallel lines. Drag the left set of parallel lines and try to move them onto the right set. Are the two sets of parallel lines the same? What does this mean about how parallel lines change when you translate them?

Answers

Answer:

when translation appears on the axises for any shape or line, the same line would not compare each other.  Just like the parallel lines that I used.  These two lines are not compared to each other.

Step-by-step explanation:

Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.


-3x + y = 8
3y = 9x
y = - x
6x + 2y = 12

Answers

first one
add 3x to both
y=3x+8
they are parallel bc both have same slope which is 3x but have differnt y
one is 5 and 8

Answer:

-3x + y = 8 and 3y = 9x

Step-by-step explanation:

The troposphere is the region that starts at Earth's surface and ends between ____ km and ____ km above Earth.

Answers

Answer:85-500

Step-by-step explanation:

Answer:

The troposphere is the region that starts at Earth's surface and ends between 8 km and 20 km above Earth.

Step-by-step explanation:

The larger number is five more than the smaller number. Four more than three times the
smaller number is twice the larger number. Find both numbers.

Answers

Answer:

Larger number = 11

Smaller number = 6

Step-by-step explanation:

Let the larger number = x

Let the smaller number = y

x - y = 5

3y + 4 = 2x       Subtract 2x

-2x + 3y + 4 = 0

===========

Multiply  the first equation by 2. Write the second equation underneath

2x - 2y = 10

-2x + 3y + 4 = 0

add

y + 4 = 10  

Subtract from both sides

y = 10 - 4

y = 6

==========

x - y = 5

x - 6 = 5                Add 6 to both sides

x = 5 + 6

x = 11

Answer:

            6 and 11

Step-by-step explanation:

x       ← the smaller number

x+5    ←  five more than the smaller number - the larger number

3x    ← three times the  smaller number

3x+4   ← four more than three times the  smaller number

2(x+5)   ← twice the larger number

3x + 4 = 2(x + 5)

3x + 4 = 2x + 10

   -4         -4

     3x = 2x + 6

  -2x       -2x

      x  =  6

x+5 = 6 + 5 = 11

Check:   3•6 + 4 = 22;  22:2 = 11

2x - 5= 5x + 7 linear equations

Answers

Answer:

-4 =x

Step-by-step explanation:

2x - 5= 5x + 7

Subtract 2x from each side

2x-2x - 5= 5x-2x + 7

-5 = 3x+7

Subtract 7 from each side

-5-7 = 3x+7-7

-12 = 3x

Divide by 3

-12/3 = 3x/3

-4 =x

Mark decides to make his favorite lunch, grilled cheese! His recipe calls for 3 slices of cheese per one sandwich. He makes 6 sandwiches for the family on Friday.

Answers

Answer:

18 pieces of cheese

Step-by-step explanation:

3 slices x 6 grilled cheeses = 18 slices of cheese

Please help me with my homework

Answers

Answer:

49/30

Or

1 19/30

Step-by-step explanation:

What is the value of Y?

Answers

I would say y=1.5x +8

When Aaron started, he was on page 8 (Which is the +8 part.) he reads 1.5 pages every minute (Which is the 1.5x part.)

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