c) How long does he travel at 30 km/h, if he travels 1.2 h at 20 km/h?​

Answers

Answer 1

Answer:

1.8 hrs

Step-by-step explanation:

1.2 hr = 20 km/hr

A hr = 30 km/hr

(cross multiply)

30 x 1.2 = 20 x A

(30 x 1.2) / 20 = A

on simplifying...

1.8 = A

Therefore, it takes 1.8 hrs to travel 30 km/hr

[this is totally my method]


Related Questions

What is the solution to the equation 5x + 2(x-4)= 5x + x -10?
03
02
0-2
0-3

Answers

Answer:

5x+2x(x-4)=5x+x-10

5x+2x-8=5x+x-10

5x-5x+2x+x=-10+8

x+3x=-2

4x=-2

x=-2

Given that h(-6)=0 for function h(x) = x^4 +8x³ +11x² - 8x - 12
which of the following statements are true?
A (x-3) is a factor of h(x)
B. (x+6) is a factor of h(x)
C. the remainder on division of h(x) by (x+6) is NOT 0
D. the remainder on division of h(x) by (x-3) is 0

Answers

Answer:

b

Step-by-step explanation:

when u plug in -6 u get the equation equal to 0 which means x+6 is a factor of that function.

Select the correct answer. If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g? A. -7 and 3 B. -7 and -3 C. -3 and 7 D. 3 and 7

Answers

Answer:

C

Step-by-step explanation:

given the factors are (x - 7) and (x + 3)

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 3 = 0 ⇒ x = - 3

what is equivalent to 7^13/7^7

Answers

The equivalent expression to 7^13/7^7 would be 7^6.

What are equivalent expressions?

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

We have given an expression as  7^13/7^7

The equivalent expression;

[tex]\dfrac{7^{13}}{7^7} \\\\7^{13-7}\\\\7^6[/tex]

Hence, The equivalent expression to 7^13/7^7 would be 7^6.

Learn more about expression;

https://brainly.com/question/22246485

#SPJ1

Translate each description into an algebraic expression. Then, evaluate the expression
using the value shown in the box for the variable.
EXAMPLE: the quotient of 112 and a added to 25 = (112 + a) + 25 = 53
a = 4
w = 10
b=3
x = 11
c = 9
y = 7
d=2
z = 5
1. the difference of 100 and the product of y and 12 =
2. b times the sum of 15 and 37 =
3. 27 added to the product of z and 12 =
4. 135 divided by the product of c and 5 =
5. w to the second power times the quotient of 12 and 4 =
6. 12 times d divided by the difference of 25 and 19 =
7. the product of x and 5 added to 13 =

Answers

The value of each algebraic expressions are:

1. 16

2. 156

3. 87

4. 3

5. 300

6. 4

7. 68

What is an Algebraic Expression?

An algebraic expression is a mathematical statement involving variables and digits. It is evaluated by plugging in the value of the variables.

1. Product of y and 12 is 12y

100 - 12y

Plug in the value of y

100 - 12(7) = 16

2. b(15 + 37) = b(52) = 3(52)

= 156

3. Product of z and 12 is 12z

12z + 27 = 12(5) + 27

= 87

4. 135 ÷ 5c = 135/5(9)

= 3

5. w²(12/4) = 3w²

= 3(10²)

= 300

6. 12d ÷ (25 - 19)

12d/6 = 12(2)/6

= 4

7. 13 + 5x

13 + 5(11)

= 68

Learn more about algebraic expression on:

https://brainly.com/question/2164351

#SPJ1

Chapter - logarithms

Please help!!!​

Answers

Answer:

[tex]\large\boxed{\sf n^2 \ log \ x }[/tex]

Step-by-step explanation:

Given that ,

[tex]\longrightarrow \log \ x + \log\ x^3 + \log \ x^5\ \dots + \log x^{2n-1} [/tex]

As we know that , [tex] \log x^n = n \log x [/tex] , therefore ;

[tex]\longrightarrow \log x + 3\log x + 5\log_x +\dots + (2n-1)\log x [/tex]

Take out log x as common ;

[tex]\longrightarrow \log x ( 1 + 3+5+...+(2n-1))[/tex]

The terms inside the brackets are the sum of first n odd numbers . And we know that the sum of first n odd numbers in . Therefore ;

[tex]\longrightarrow \log x (n^2) \\[/tex]

[tex]\longrightarrow \underline{\underline{\red{{ n^2\log x }}}}[/tex]

Option c is correct!

In a carnival drawing, a green ticket wins $1, a yellow ticket wins $5, and a blue ticket wins $10. There are 20 green tickets, 10 yellow tickets and 5 blue tickets. In simplest form, what are the odds against winning less than $10?
A. 1:4
B. 1:5
C. 1:6
D. 6:1

Answers

A ratio shows us the number of times a number contains another number. The correct option is C.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

For winning less than $10, a person needs to take out a green ticket or a yellow ticket. Therefore, the odds against winning less than $10 are,

(Number of blue tickets) : (Number of green and yellow tickets)

5: 30

1: 6

Hence, the correct option is C.

Learn more about Ratios:

https://brainly.com/question/1504221

#SPJ1

what is mean by Methods of describing a set please friends help me and which question can come?

Answers

Methods of describing a set involve using a roster or set-builder notation to outline it.

What are the methods of describing a set

The two methods of describing a set are:

roster methodset- builder notation method

Roster method describes a set by listing all its elements, separated them by commas and enclosed within brackets.

Set- builder notation method describes a set by describing its elements using mathematical statements

Therefore, methods of describing a set involve using a roster or set-builder notation to outline it.

Learn more about sets here:

https://brainly.com/question/2166579

#SPJ1

Sunil draws a regular hexagon and a convex quadrilateral on a sheet of paper, so that no side of the quadrilateral lies on the same line as a side of the hexagon. what is the maximum total number of points in which the sides of the quadrilateral can intersect the sides of the hexagon?

Answers

Maximum total 8 points in which the sides of the quadrilateral can intersect the sides of the hexagon.

A regular hexagon is a closed shape polygon which has six equal sides and six equal angles. In case of any regular polygon, all its sides and angles are equal.

A convex quadrilateral is a four-sided polygon that has interior angles that measure less than 180 degrees each. The diagonals are contained entirely inside of these quadrilaterals

Take a look at just one side of the quadrilateral—a straight line. Since we are told that no side of the quadrilateral lies on the same line as a side of the hexagon, the maximum number of times a side of the quadrilateral could intersect the hexagon is 2. We can use a ruler to test this on the image of the hexagon. There is no way to pass a straight line through the hexagon and have it intersect the shape more than 2 times. Therefore, the maximum number of points at which the quadrilateral could intersect the hexagon would be

at 2 points per side, at 2 × 4 = 8 points.

Hence, Maximum total 8 points in which the sides of the quadrilateral can intersect the sides of the hexagon.

Learn more about convex quadrilaterals here :

https://brainly.com/question/15115269

#SPJ4

A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.

Two dot plots are shown one below the other. The title for the top dot plot is Online Customers and the title for the bottom plot is Walk In Customers. Below the line for each dot plot is written Number of Packs. There are markings from 1 to 5 on each line at intervals of one. For the top line there are 0, 0, 1, 4, 5 dots respectively for marks from 1 to 5. For the bottom line there are 3, 6, 1, 0, 0 dots respectively for marks from 1 to 5. On the right side, towards the middle of the two plots is shown a dot symbol equal to 10 customers.

Which inference can be drawn about the buying pattern of the online customers versus that of the walk-in customers?

Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 1 pack.
Online customers buy an average of 5 packs compared with walk-in customers, who buy an average of 2 packs.
Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.
Online customers buy an average of 5 packs compared with walk-in customers, who buy an average of 1 pack.

Answers

Answer:

Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

Step-by-step explanation:

Create the dot plots (see attached diagrams)

Online customers: blue dots

Walk-in customers: red dots

To calculate the average packs both groups of customers buy, sum all data values and divide by the total number of data values.

[tex]\textsf{Average of Online customers}=\dfrac{ 1 \times 3+ 4 \times 4+ 5\times 5}{10}=4.4[/tex]

[tex]\textsf{Average of Walk-in customers}=\dfrac{ 3 \times 1+ 6\times 2+ 1\times 3}{10}=1.8[/tex]

Online:  4.4 rounds down to 4

Walk-in:  1.8 rounds up to 2

Therefore, online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

Find average of both customers

Online :-

3+4(4)+5(5)/103+16+25/1044/104.44

Offline

3+6(2)+3/106+12/1018/101.82

option C

Question 4(Multiple Choice Worth 1 points)
(02.04 LC)
Write the equation of a line that goes through point (4, 0) and has an undefined slope.
Ox=4
Ox=0
Oy=4
Oy=0

Answers

Answer:

Ox=4 is the answer for the question

2x²-5x-12=0 (simplify solution set)

Answers

Answer:

x = 4 or x = -3/2

Step-by-step explanation:

To simplify and solve this, let's use the quadratic formula.

So the format of a quadratic equation is supposed look like this:

[tex]ax^2+bx+c=0[/tex]

Let's find a, b, c:

a is the coefficient of x^2b is the coefficient of xc is the constant term

Now let's solve the equation.

Let's solve your equation step-by-step.

2x^2−5x−12=0

For this equation: a=2, b=-5, c=-12

2x^2+−5x+−12=0

Step 1: Use quadratic formula with a=2, b=-5, c=-12.

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-12)} }{2(2)}[/tex]

[tex]x=\frac{5\pm\sqrt{121} }{4}[/tex]

[tex]x=4[/tex] or [tex]x=\frac{-3}{2}[/tex]

Answer:

x = 4 or x = -3/2

What was k? 200 400 600

Answers

Answer:

pls yo give the full question

Dose this tablet represent a function? Why or why not? {(2,1), (2,4), (3,4), (4,2), (5,5)}

Answers

Answer:

This mapping isn't a function.

Step-by-step explanation:

A mapping specifies a relation between two sets of items (input and output). For example, a mapping of the form [tex]\lbrace (x_{0},\, y_{0}),\, (x_{1},\, y_{1})\rbrace[/tex] would map the input [tex]x_{0}[/tex] to output [tex]y_{0}[/tex] and map the input [tex]x_{1}[/tex] to output [tex]y_{1}[/tex].

A function is a mapping where each input is associated with exactly one output.

Note that both [tex](2,\, 1)[/tex] and [tex](2,\, 4)[/tex] are in the mapping given in this question. The input [tex]2[/tex] is mapped to more than one outputs. Thus, this mapping isn't a function.

h = 3 + 31t - 161²
Find all values of t for which the ball's height is 17 feet .​

Answers

Answer:

t= 31/175 5.64516129

Step-by-step explanation:

Refer Pic For Steps....

Hope it Helps!!!

I need hard and easy math questions with the answer, i need 10 questions

thnx

Answers

Answer:

https://www.khanacademy.org/

Step-by-step explanation:

I am not entirely sure what you mean however if you sign up for this website and go to whichever grade level you need you can practice all you want

In the diagram, the measure of angle 6 is 98°.

A transversal intersects 2 lines to form 8 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.

What is the measure of angle 7?

Answers

The measure of angle 7 is 82°.

What is transversal line?

A transversal is defined as a line that passes through two lines in the same plane at two distinct points in the geometry

Given:

angle 6= 98°

As, angle 6 and 7 forms a linear pair then

angle 6 + angle 7 = 180

98 +  angle 7= 180

angle= 180-98

angle 7 = 82°

Hence, angle 7 is 82°.

Learn more about linear pair here:

https://brainly.com/question/1757859

#SPJ1

I NEED HELP FAST Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.


Solve 24 - 3x = -27.

Answers

24 - 3x = -27
-24. -24
-3x= -51
/-3. /-3
x = -17
x=17. hope this answers your question

Sterling silver is 92.5% pure silver. How many grams of a 90% silver alloy would you need in order to mix it with sterling silver to obtain 500 grams of a 91% silver alloy.

Answers

200 grams of sterling silver is needed to make the 91℅ alloy

An equation is mathematical expression that contains an equals symbol. Equations are contain algebra. Algebra is used in maths when you do not know the exact number in a calculation.

given, x + y =500

The number of grams of pure silver in x plus the number of grams of pure silver in y is equal to the number of grams of pure silver in the 500 grams.

The pure silver is given in percentage forms.

Hence, 92.5% (x) + 90% (y) =91% (500)

Substitute y by 500−x in the last equation to write

92.5% (x) + 90% (500−x) =91% (500)

Simplify and solve

92.5x+45000−90x=45500

x=200 grams.

Hence, 200 grams of Sterling Silver is needed to make the 91% alloy.

Learn more about Sterling silver is an alloy of silver

https://brainly.com/question/11156795

#SPJ10

What type of triangle center is shown as point H in the figure?

Answers

Answer:

centroid

Step-by-step explanation:

medians of the triangle intersect at point H, making this point centroid.

(essentially, it's the center of the triangle)

a decimal, and t is the time in years.
1) Emily has $50 in a savings account. The interest rate is 5% per year and is not compounded.
How much will she have in 1 year?

Answers

Answer:

52.50$

Given:

⇒ Emily has 50% in a savings account currently.

⇒ Interest rate is 5% per year and is not compounded

To find:

⇒ How much she will have in 1 year

__

steps

⇒ [tex]5\text{percent} \times50[/tex]

⇒ [tex]=\frac{5}{100} \times50[/tex]

⇒ [tex]=\frac{100}{(5\times50)}[/tex]

⇒ [tex]= \frac{250}{100}[/tex]

⇒ [tex]=2.5[/tex]

Now that we have calculated her interest rate per year, we must calculate that added onto her balance in her account before the interest was applied.

⇒ [tex]2.5+50\[/tex]

⇒ [tex]52.50\[/tex]

Therefore, Emily will have 52 dollars and 50 cents in a year.

She will save $52.5 per year.

Explanation to answer

Answers

Answer: 2

Step-by-step explanation:

[tex]{12x+2}=\frac{18+34}{2}\\\\12x+2=26\\\\12x=24\\\\x=\boxed{2}[/tex]

Six less than the product of
twice a number and ten is
twenty.

Answers

[tex]\text{First I'd recommend replacing the number with just n.}\\\text{Now, multiply this number by 2:: 2n}\\\text{Multiply 10 by it:: 2n*10}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{6 is subtracted from (2n*10):: (2n*10)-6}[/tex]

[tex]\text{This gives a total of 20}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{(2n*10)-6=20}[/tex]

Answer: Number = 1.3

Step-by-Step Solution:

Let the Unknown Number be ‘x’

• Six less than the product of twice a number and ten is twenty

Framing the Equation :-

Six less than => - 6
Twice a number => 2x
Product of 2x and ten => 2x * 10

=> (2x * 10) - 6 = 20

Solving the Equation :-

(2x * 10) - 6 = 20
20x - 6 = 20
20x = 20 + 6
20x = 26
x = 26/20
x = 13/10
=> x = 1.3

Hence, the Unknown Number = 1.3

Select the correct answer. Consider the following system of equations.

Answers

Solve for x coordinate of solution

It's after -3 and before -4

Check given value in options and approximate them

5/2=2.5 13/4=3.3

So x coordinate is -13/4

Option C is correct as no one contains -13/4 except C

Answer:

[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]

Step-by-step explanation:

The solution to a system of graphed equations is the point of intersection.

From inspection of the graph:

the x-coordinate of the point of intersection is -4 < x < -3the y-coordinate of the point of intersection is 2 < y < 3

As the x-coordinate is negative, this eliminates answer options A and B.

Assessing the x-coordinate of answer options C and D:

⇒ C.   -13/4 = -3.25

⇒ D.    -5/2 = -2.5

Therefore, as the x-coordinate of the point of intersection is between -4 and -3, the approximate solution of the system of equations is:

[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]

The equation of a line is -2x+5y = -20
What’s the x-intercept of the line?

Answers

First can you rearrange so it is in the order
Y = mx + c
From the top of my head I thought it was the number which is before the x or y? Maybe before the x so my guess is it’s -2??

what is the price of a $90 mobile phone after a 30% discount

Answers

Answer:

$ 63

Step-by-step explanation:

Let the new price ( price after the discount ) be x.

Old price                    Discount                     New price

 100                              30                                  70

  90                               30                                   x

Now we can make an expression like this to solve this

100  ⇒  70

90  ⇒ x

Use cross multiplication to solve for x.

100x = 70 × 90

100x = 6300

Divide both sides by 100.

x = $ 63

Answer:

Discount: $27.00

Final Price: $63.00

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 90 × 30/100

Discount = 90 x 0.3

You save = $27.00

Final Price = Original Price - Discount

Final Price = 90 - 27

Final Price = $63.00

Which data set could be represented by the boxplot shown? (1 point)

{0, 2, 3, 5, 8, 9, 10, 10, 12}

{2, 3, 3, 4, 5, 5, 8, 10, 10}

{2, 3, 4, 5, 5, 7, 7, 9, 10}

{2, 3, 4, 5, 5, 5, 8, 9, 10

Answers

The second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.

What is the box and whisker plot?

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have given a data set and a box plot shown in the picture.

From the boxplot we can see:

Minimum value = 2

Q1 = (2+4)/2 = 3

Median = (4+6)/2 = 5

Q3 = (8+10)/2 = 9

Maximum value = 10

The second data set:

{2, 3, 3, 4, 5, 5, 8, 10, 10}

Minimum value = 2

Q1 = (2+4)/2 = 3

Median = (4+6)/2 = 5

Q3 = (8+10)/2 = 9

Maximum value = 10

Thus, the second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.

Learn more about the box and whisker plot here:

brainly.com/question/3209282

#SPJ1

Lewis wishes to make a scale drawing of his mansion. If his mansion is 50 feet tall, and he wishes to scale is diagram so that 3 inches represent 8 feet, how tall is the mansion on paper?

Answers

Answer:

18.75 inches

Step-by-step explanation:

Inches:feet

3. : 8

X. : 50

(Cross multiply)

8x=150

X=150÷8=18.75

If h(x) = 5 + x and (x) =
XE
which expression is equivalent to (kh)(x)?

Answers

The value of composite function (koh)(x) is 1/(5+x) after plugging h(x)  = 5+x in the k(x) option (B) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The question is:

if h(x)=5+x and k(x)=1/x which expression is equivalent to (koh)(x)

Answer options are:

A).(5+x)/xB). 1/(5+x)C). 5+(1/x)D). 5+(5+x)

We have:

h(x) = 5 + x

k(x) = 1/x

To find the composite function:

(koh)(x):

= k(h(x))

= 1/(5+x)

Thus, the value of composite function (koh)(x) is 1/(5+x) after plugging h(x)  = 5+x in the k(x) option (B) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

(X^2-16)/(x^2)-x-12
I know the answer is x+4/x+3
but i don't understand how x^2 -x - 12 simplifies into (x+3) (x-4)

Answers

Answer: (x + 3)(x - 4)

Step-by-Step Solution:

We need to Factorize the given Quadratic Polynomial by using Splitting the Middle Term Method.

= x^2 - x - 12
= x^2 - 4x + 3x - 12
= x(x - 4) + 3(x - 4)
=> (x + 3)(x - 4)
Other Questions
Which set of values could be the side lengths of a 30-60-90 triangle? Someone help asap pls!! Ill mark you brainliest what is the magnification of a mirror that What results would be expected with no spontaneous generation of life Large animals have specialized gas exchange systems. Fish use ______ and insects use ________.A. spiracles, alveoliB. pleural membrane, alveoliC. gills, pleural membraneD. gills, spiracles The Atlantic puffin feeds on several species of Atlantic fish. A population of puffins living on Matinucus Rock was found to feed on the types of fish shown in the graph below. The beaks of this group of puffin are shaped to grasp Species A particularly well. Predict what would happen to the puffins beaks if another predator enters the area that is better at preying on Species A. Explain your reasoning based on what you know regarding genetic adaptations. In which of the following global regions do people have the highest lifeexpectancy? name this country that suffered the horrific effect of an atomic bomb during ww2 Technician A uses heat shrink tubing to insulate and seal soldered wire connections. Technician B wraps the soldered connection with electrical tape. Who is correct The theater sells two types of tickets: adulttickets for $17 and child tickets for $10.Last night, the theater sold a total of 403tickets for a total of $5563. How many adulttickets did the theater sell last night?Show your work herePLEASE HELP What is the measure of \angle xxangle, x?Angles are not necessarily drawn to scale. All cells contain a nucleus true false 28.6% of city employees ride the bus to work. Last year, 29.7% of city employees rode the bus to work. What is the relative change from last year to this year?(Express your answer rounded correctly to the nearest tenth of a percent!) Graph g(x)=|x4|+3.\ If a=[-2 -4 2 5 1 5 -1 -3 -4] and b=[2 3 -5 5 -4 2 -1 -1 3] find ba the equation of the line in the graph is y = (blank) x+ (blank) The system of equations y = one-fourth x minus 1 and y = negative one-half x minus one-fourth is shown on the graph below.On a coordinate plane, 2 lines intersect at (1, negative three-fourths). A satellite circles the Earth in an orbit whose radius is twice the Earths radius. The Earths mass is 5.98 x 1024 kg, and its radius is 6.38 x 106 m. What is the period of the satellite? Which structures are involved in creating insulin inside pancreatic cells and to liver cells What do you think were the biggest challenges facing newly independent countries? Would it have been possible for leaders to prevent these problems before they happened? Why or why not? someone please help