A vehicle travelled (x+4) kilometres within (x²-16) hours. What is the speed of the vehicle?


Answers

Answer 1

Step-by-step explanation:

speed = distance/ time

=> (x+4)/(x²-16) => (x+4)/(x+4)(x-4) => 1/(x-4) km/h.

hope this helps you.


Related Questions

A wheel rotates 15 times each minutes. How many degrees will it rotate in 1 second of time?​

Answers

Answer:

In 1 second it Rotates 15× 360 / 60

Step-by-step explanation:

Wheel Rotates 15 times in 60 seconds

This implies that the wheel completes

15 × 360 degrees in 60 seconds

therefore,

In 1 second it Rotates 15× 360 / 60

=> 15×6 = 90 °

in 12 seconds , 12×90 = 1080°.

The sum of three numbers is 88. The first number is 8 more than the second. The third number is 3 times the second. What are the numbers?

Answers

Answer:

The numbers are 24, 16 and 48

Step-by-step explanation:

For this equation you need to use all the information you have to add in 3 variables, use the information you have to connect them, so you only use one number. You’ll have the second number (x), the first number (x+8) and the third number (3x) now we use all of that to make an equation.

88=x+(x+8)+3x

Now you simplify the equation,

88=5x+8

Now get the x and it’s coefficient alone on one side

80=5x

Now divide both sides so the x is alone

x=16

Since the second number was x you know the second number

the first number is x+8 since x is 16 the first number is 24

The third number is 3 * x so the third number is 48.

So the numbers are 24, 16 and 48

Hello everyone, please help me out, What type of Triangle is this triangle?

Answers

Answer:

I believe this is an acute scalene triangle

Step-by-step explanation:

Hope this helps! :)

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Find the slope of the line.

Answers

Answer:

0.75

Step-by-step explanation:

I hope this helps!

We must do rise over run to find the slope.

First find 2 points that cross the corner of the grid as shown in the attached image.

Then count how many units up and over it takes to connect the 2 points. For this example, there are 3 up and 4 across.

ΔX = 0 – -4 = 4

ΔY = 1 – -2 = 3

Slope (m) = ΔY/ΔX = 3/4 = 0.75

To solve for slope, it would be [tex]\frac{rise}{run}=\frac{3}{4} =0.75[/tex] is the slope.

Find the magnitude of the vector (4, - 4).
Write your answer in simplified radical form.

Answers

Answer:

the magnitude of the vector is given by the √(px^2+py^2) so the value is 5.65

The magnitude of the given vector (4, -4) in the simplified form will be 5.65.

What is a Vector?

A vector is a quantity with both magnitude and direction in physics. It is often depicted by an arrow with the same direction as the amount and a length proportionate to the size of the quantity.

A vector lacks position, but has magnitude and direction. A vector is therefore unaffected by displacement parallel to itself as far as its length is unaltered.

As per the given data in the question,

4² + (-4)² = 16 + 16

= 32

Magnitude = √32

Magnitude = 5.65

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a) Irfan took 55 minutes to draw 5 cartoons. How many minutes will he
take to make 12 cartoons? (Give your answer in hours and minute).

Answers

Answer:

2 hours and 12 minutes

Step-by-step explanation:

55/5=11

12x11=132

132/60=2 and 12 remain

Which phrase best describes f(x), graphed on the coordinate plane below?
I
6
4
AN
-S
B
Х
4
-6
O f(x) is an odd function.
Of(x) is an even function.
Of(x) is both odd and even.

Answers

Answer: f(x) is an odd function

Step-by-step explanation: The major characteristic of odd functions is that one end of the graph goes down to negative infinity, the other end goes up to positive infinity.

i need a help please

Answers

Answer:

43

Step-by-step explanation:

1+2->12^-4=1243

for the function R(x)= x+4/x-3, find the values of x that make the function less than or equal to 0

Answers

Answer:

-4[tex]\leq[/tex]x<3

Step-by-step explanation:

1)Break this into 2 case, equal to 0 and and less than 0.

2)The number equals zero if its numerator is 0 which happens when x=-4.

3) A fraction is less than 0 it is negative. Negative fractions are either +/- or -/+,  so we have two subcases.

3a) For +/- the numerator is positive when x>-4 and denominator is negative when x<3. Putting those two together we have -4<x<3.

3b)For -/+ the numerator is negative when x<-4 and the denominator is positive when x>3 however those two values don't overlap.

4) Putting this together we have -4[tex]\leq[/tex]x<3

2. What percent of 80 is 8?

Answers

Answer

6.40%

Step-by-step explanation:

Two rules for creating a pattern are given below.

Rule 1: Multiply x by 5 to get y.

Rule 2: Add 12 to x to get y.

Which ordered pair, (x,y), works for both rules?

Choose 1 answer:

(Choice A)

(5,25)

(Choice B)

(3,15)

(Choice C)

(0,12)

Answers

Choice B

First make an equation for both rules.
Rule 1: y=5x
Rule 2: y= x+12

Then plug in each ordered pot to find which one works

Choice A (5,25)
Rule 1: 25=5(5)
25=25
Rule 2: 25=5+12
25=17
Choice a works for rule 1 but not rule 2 therefore it does not work

Choice b (3,15)
Rule1: 15=3(5)
15=15
Rule 2: 15=12+3
15=15
Choice be works works for both equations therefore it is the answer

Choice c (0,12)
Rule 1: 12=5(0)
12=0
Rule 2: 12=12+0
12=12
Choice c works for rule 2 but not 1 do it cannot be the answer.

What is the equation in slope-intercept form that has a slope of -1 and a y-intercept of 4?


pls help

Answers

Answer:

y= -1x+4

Step-by-step explanation:

y=mx+b

m=slope

b=slope intercept

x=x-intercept

A hamburger shop sold a combined total of 304 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold?

Answers

Answer: 76 hamburgers

Step-by-step explanation:

first we will write an equation:

x+3x=304

which simplified turns in 4x=304

x=76

now go back to our equation and solve.

3x is cheese burgers= 228 cheeseburgers

x is hamburgers =76 hamburgers

Need some help on this question please provide evidence on how you came up with the answer aswell.

Answers

15, this is because every time the pattern number goes up, the number of dots goes up by that same number, for example, pattern 4 has 10 dots, pattern 5 is next so 10+5=15. 15 dots in pattern 5.

Help Please One Mixed Fraction

1/2 x 1 4/9

Answers

Answer:

13/2

Step-by-step explanation:

Answer:

13/18

Step-by-step explanation:

1/2 ×13/9

1×13 =13

2×9= 18

John is 5 years 6 months. How old is John in months?

Answers

Answer:

66 months

Step-by-step explanation:

12 months are in a year.

12 x 5 = 60

plus the 6 months that we have been told.

60+6 = 66

hope this helps!

0.234 is bigger or less than 0.76​

Answers

Answer: 0.234 is less than 0.76

Step-by-step explanation:

0.234 can be rounded out to 0

0.76 can be rounded out to 1

Answer:
0.234 is smaller than 0.76

-8/9 divided by -2/3 x 4 1/4

Answers

I think is 1 1/3 this is the answer

Answer:

4/3

Step-by-step explanation:

Remove negatives

8/9*3/2

Cancel 2 and 8 = 4/9*3

Cancel 9 and 3 = 4/3

Ans = 4/3

Complete the truth table for the given statement by filling in the required columns.

Answers

Answer:

-P is true.

Step-by-step explanation:

q v-p is false.

Find: 11/3 divided by 2/3
The quotient is 5 and ______

Answers

Answer:

1/2

Step-by-step explanation:

11/3 divided by 2/3

=5.5

11/3 divided by 2/3 , the quotient is 5 and remainder is 1.

The divisor is the integer that divides a given number. The resultant number is sometimes referred to as the quotient. The residual is the number that the divisor leaves after partially dividing the original integer.

Let,  first number is x and second number is y

On dividing given two number

Division=x/y

[tex]x/y=\frac{11/3}{2/3}[/tex]

[tex]x/y=11/2[/tex]

It is given that the quotient for dividing two numbers is 5.

Using,

Dividend = Divisor x Quotient + Remainder

Here,

Dividend =11

Divisor =2

Quotient =5

On, substituting these values to get Remainder

11=2 x 5+ Remainder

Remainder=1

Thus, remainder is 1.

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Find intercepts of: 3x-3y+9=0
X-intercept as a ordered pair
Y-intercept as a ordered pairr

Answers

3x - 3y + 9 = 0

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is also the value of y when x = 0.

To solve for the y-intercept, set x = 0:

3(0) - 3y + 9 = 0
3(0) - 3y + 9 = 0

Subtract 9 from both sides:
- 3y + 9 - 9 = 0 - 9
- 3y = -9
Divide both sides by -3 to solve for y:

-3y/-3 = -9/-3
y = 3

Therefore, the y-intercept is (0, 3).

The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates of (a, 0). It is also the value of x when y = 0.

To solve for the x-intercept, set y = 0:

3x - 3(0)+ 9 = 0
3x -0 + 9 = 0

Subtract 9 from both sides:
3x + 9 - 9 = 0 - 9
3x = -9

Divide both sides by 3 to solve for x:

3x/3 = -9/3
x = -3

Therefore, the x-intercept is (-3,0).

The correct answers are:
Y-intercept = (0, 3)
X-intercept = (-3, 0)

A machine can blow up 20 balloons in 4 min.
How many balloons can it blow up in 60 min?

Answers

Answer:

120

Step-by-step explanation:

all you have to do is multiply 20*60

Answer:

The machine can blow up 300 balloons in 60 min.

Step-by-step explanation:

60 ÷ 4 = 15. 15 x 20 = 300. We know it takes 4 minutes to blow up 20 balloons. 4 minutes is only 1/15 of 60, so that means you have to blow up 20 balloons 15 times, which will take 60 minutes, and in that 60 minutes, you blew up 300 balloons.

Hope it helps!

Anthony has 8 times as many lego set a as Brianna. Together they have 36

Answers

Answer:

4.5

Step-by-step explanation:

because 4 times 8 is 32 and .5 times 8 is 4 so 32 plus 4 is 36

The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds. Let the speed, S, be measured in feet per second. Write an equation to represent the relationship between the three quantities (speed, distance, and time).​

Answers

Answer:

Speed of object = 40 feet per second

Step-by-step explanation:

-4b - 5 > -25
please show work

Answers

Answer:

b<5

Step-by-step explanation:

-4b -5 > -25

add 5 to both sides

-4b>-20

divide by -4

flip the greater than sign

b<5

Hey can anyone help with this question please and thank you

Answers

Answer:

(7x-4)°= (3x+28)°. ( :. m || n, so it is alternate angle)

7x° - 4° = 3x° + 28°

4x° = 32°

x = 32/8

x = 4°

Answer:

x = 8

Step-by-step explanation:

< (7x - 4)° and < (3x + 28)° are Alternate interior angles that do not have a common vertex on alternate sides of the transversal, t. Therefore, they have the same measure.

We can establish the following equality statement to solve for x :

< (7x - 4)° = < (3x + 28)°

Subtract 3x from both sides:

7x -3x - 4 = 3x - 3x + 28

4x - 4 = 28

Add 4 to both sides:

4x - 4 + 4 = 28 + 4

4x = 32

Divide both sides by 4 to solve for x:

4x/4 = 32/4

x = 8.

To verify whether the value of x is correct, substitute x = 8 into the equality statement:

< (7x - 4)° = < (3x + 28)°

< [(7(8) - 4]° = < [3(8) + 28]°

< (56 - 4)°  = < (24 + 28)°

< 52° = < 52° (True statement. Therefore, the correct answer is x = 8).

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Find the value of x from the adjacent figure

Answers

Answer:

straight line = 180°

2x+3x+5x= 180 combine like terms

10x=180

x=18

What is the place value of the 5 in the number 8.965?

Answers

Answer:

it is the ones place.

Step-by-step explanation:

it is not a decimal.

Answer:

Thousandths place

Step-by-step explanation:

A view of the first four places before and after the decimal:

Ex:

1,209.8753

1 is the thousands place

2 is the hundreds place

0 is the tens place

9 is the ones place

8 is the tenths place

7 is the hundredths place

5 is the thousandths place

3 is the ten thousandths place

In your example,5 is in the thousandths place

76,860,001 in words ​

Answers

76, 860, 001 in words is Seventy six million, eight hundred and sixty thousand and one.

Hope this helps; please mark BRAINLIEST.

Answer:

seventy six million eight hundred and sixty thousandth and 1

Step-by-step explanation:

PLEASE HELP!!!!
In a sporting event, the scoring area (shown here) consists of four concentric circles on the ice with radii of 4 inches, 4 feet, 6 feet, and 8 feet. If a team member lands a (43-pound) stone randomly within the scoring area, find the probability that it ends up centered on the given color (a) red (b) white (c) blue . (a) The probability that it ends up centered on red is ___.​

Answers

Answer: The probability that it ends up centered on red is 7/16

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