PLEASE HELP ME :(((((

Umar drove his taxi from Ipoh to Kuala Lumpur via the highway. He stopped at Tapah to
pick up some goods before proceeding to Kuala Lumpur. He drove from Ipoh to Tapah at an
average speed of 100 km/h over a distance of 60 km. If the average speed of his taxi from Ipoh
to Kuala Lumpur is 110 km/h over a distance of 220 km, calculate the average speed of Umar's
taxi from Tapah to Kuala Lumpur.

Answers

Answer 1

Answer:

approximately 114.28 km/h

Step-by-step explanation:

Distance = rate * time (d = rt)

The distance from Ipoh to Tapah is 60 km, and the rate is 100 km/h. Therefore, the time it took to drive from Ipoh to Tapah is:

60 = 100t

t = 0.6 hours

The total distance from Ipoh to Kuala Lumpur is 220 km, and the average rate is 110 km.

Therefore, the time it took to drive from Ipoh to Kuala Lumpur is:

220 = 110t

t = 2 hours

So since we know that the time taken to go Ipoh -> Tapah is 0.6 hours and the time taken to go Ipoh -> Tapah -> Kuala Lumpur is 2 hours, the time taken to go Tapah -> Kuala Lumpur must be:

2 - 0.6 = 1.4 hours

And the distance from Tapah to Kuala Lumpur must be:

220 - 60 = 160 km

So the speed driven from Tapah to Kuala Lumpur must be:

160 = r * 1.4

r ≈ 114.28 km/h

Answer 2

Answer:

114.3 km/h

Step-by-step explanation:

We need to find te average speed from Tapah to Kuala Lumpur.

speed = distance/time

We need to find the distance and time from Tapah to Kuala Lumpur.

Ipoh to Tapah:

100 km/h over a distance of 60 km

Ipoh  to Kuala Lumpur:

110 km/h over a distance of 220 km

The total distance is from Ipoh to Kuala Lumpur.

speed = distance/time

distance = speed * time

time = distance/speed

time = 220 km / 110 km/h = 2 hours

Ipoh to Tapah.

time = distance/speed

time = 60 km / 100 km/h = 0.6 hour

Distance & time from Tapah to Kuala Lumpur:

220 km - 60 km = 160 km

2 hours - 0.6 hours = 1.4 hours

average speed from Tapah to Kuala Lumpur:

speed = distance/time = 160 km  /  1.4 hours

speed = 114.3 km/h


Related Questions

Juan owes his cousin, Benito, $10.00. Benito is tired of waiting for Juan to pay him back. To try and get Juan to pay up more quickly, Benito has decided to add $1.00 per day to the amount Juan owes him. Juan also owes his brother, Tavon, $15.00. Tavon liked Benito's idea of charging additional money, but because he is Juan's brother, decided he would only charge $.50 per day. Write and solve an equation that shows the number of days it will take for Juan to owe Benito and Tavon the same amount of money

Answers

Answer:

Equation: 10+x= 15 +0.5x

Time: 10 days

Amount: 20$

Step-by-step explanation:

Equation for Benito:

10 + x*1

Equation for Tavon:

15 + x*0.5

Since the sums equalize at some time, we get:

10+x= 15 +0.5xx - 05x = 15- 100.5x = 5x= 5/0.5x= 10 days

After 10 days, Juan will owe both Benito and Tavon $20

PLEASE help me. I am stuck on this question for a long time.

Answers

Answer:

d

Step-by-step explanation:

On average, the high school students' times were lower, so the mean of the high school students' times was lower.

We don't know enough about the actual results to know any more than that.

Answer: d

Find the value of x. A. 74 B. 78 C. 76 D. 84

Answers

Answer:

D

Step-by-step explanation:

The tangent- tangent angle x is half the difference of the measures of the intercepted arcs.

The 2 arcs on the circle = 360°, thus

outer arc = 360° - 96° = 264° , then

x = [tex]\frac{1}{2}[/tex]( 264 - 96)° = [tex]\frac{1}{2}[/tex] × 168° = 84°

Answer:

D.) 84

Step-by-step explanation:

I got it correct on founders edtell

What equation represents the line that is perpendicular to 3x+2y=-4 and passes through the point (-6,0)?

Answers

Answer:

Step-by-step explanation:

2y = -3x - 4

y = -3/2x - 2

perp.:2/3

y - 0 = 2/3(x + 6)

y = 2/3x + 4

The angle of elevation of the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall?

Answers

Answer:

4.09 m

Step-by-step explanation:

Let the length of the shadow cast by a person be x m.

[tex] \tan \: 24 \degree = \frac{height \: of \: person}{length \: of \: the \: shadow} \\ \\ 0.4452286853 = \frac{1.82}{x} \\ \\ x = \frac{1.82}{0.4452286853} \\ \\ x = 4.08778693 \: m \\ x = 4.09 \: m[/tex]

If 3x+6=0, what is the value of X+7?

Answers

Answer:

5

Step-by-step explanation:

Because 3 x -2 -6 and -6+6=0 so -2+7 has to be 5

The required value of X + 7 is equal to 5.

An expression is given in the question ; i.e., 3x + 6 = 0

We have to find out the value of the 'X + 7'.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.

As per the question ;

The given expression is 3x + 6 = 0

Let's solve it to get the value of x.

i.e.,

3x + 6 = 0

3x = - 6

x = - 2

So ,

The value of X + 7 will be ;

= -2 + 7

= 7 - 2

= 5

Thus , the required value of X + 7 is equal to 5.

To learn more about algebra click here ;

brainly.com/question/26479183

#SPJ2

Is that right? please help me brainlest go to the best answer...

Answers

Answer:

This is not a function.

Step-by-step explanation:

A function by definition will map one element of the domain to one element of the range.  In this example, we would need one element of A to match one element of B for all elements of A.

Note, there are two elements in set A that map to one element in set B, while one element in set B has no mapping from any element in set A.

Cheers.

the sum of a two digit number is 4. if the order of the digits are reversed, the result is a number that exceeds the original number by 18. find the number

Answers

Answer:

13

Step-by-step explanation:

Hello, we can write a two digit number 'ab' as 10 * a + b, where a and ba are two integer between 0 and 9.

For instance, 54= 50 + 4 = 5 *10 + 4, a = 5 b = 4, right?

The sum of a two digit number is 4.

a + b = 4

If the order of the digits are reversed, the result is a number that exceeds the original number by 18.

10b + a = 10a + b + 18

9b = 9a + 18

b = a + 2

We can replace in the first equation,

a + a + 2 = 4

2a = 2

a = 1

and then, b = 3

So the number is 13.

thank you

What is k divided by 11 is 7? ​

Answers

Answer:

k = 77

Step-by-step explanation:

k ÷ 11 = 7

We can reverse the equation to 7 x 11 =k

Using the multiplication tables, we know that 7 x 11 is 77

Therefore:

k = 77

Plug it in:

77 ÷ 11 = 7

Answer:

77

Step-by-step explanation:

K ÷ 11 = 7

K = 7 × 11

K = 77

K is 77

Five and Six please help

Answers

Answer:

See Below.

Step-by-step explanation:

5.) A, C

6.) A, B, D

answer this plz and tank u​

Answers

Answer:

3x+3

Step-by-step explanation:

You would just add the three sides so you would get x-3+x+x+6 and when you simplify you would get 3x+3 which would be the answer

Answer:

3x + 3

Step-by-step explanation:

x - 3 + x + x + 6

3x - 3 + 6

3x + 3

Write the quotient as a mixed number.
98 divided by 3= 32 R2

Answers

Answer:

[tex]32\frac{2}{3}[/tex]

Step-by-step explanation:

Hello!

To put 32 R2 as a mixed number we put 32 as the whole number and the remainder over the divider which gives us,

[tex]32\frac{2}{3}[/tex]

The answer is [tex]32\frac{2}{3}[/tex]

Hope this helps!

The expression 98 divided by 3 to a mixed number is 32 2/3

How to change the quotient 98 divided by 3 to a mixed number

From the question, we have the following parameters that can be used in our computation:

Number = 98 divided by 3

Divide 98 by 3

so, we have the following representation

Quotient = 32

Next, we have

Remainder = 98 - 32 * 3

Evaluate the products

Remainder = 2

Hence, the fraction to a mixed number is 32 2/3

Read more about fraction at

brainly.com/question/78672

#SPJ6

I need some help. If you can.

Answers

Answer:

[tex]2 \frac{59}{72}[/tex]

Step-by-step explanation:

3 3/8 = 3 + 3/8 = 24/8 + 3/8 = 27/8

then:

-5/9 + 3 3/8 = -5/9 + 27/8

= -40/72 + 243/72

= 203/72

203/72 = 144/72 + 59/72 = 2 + 59/72

= 2 59/72

the market price of an article is rs 6000 13 percentage vat is levied after allowing 15 percent discount an the article what will be the price of the article find it also find the amount of vat​

Answers

Answer:

[tex] \boxed{ \bold{ \sf{Price \: of \: the \: article = \: Rs \: 6678.3}}}[/tex]

[tex] \boxed{ \bold{ \sf{Vat \: amount = \: \: Rs \: 768.3}}}[/tex]

Step-by-step explanation:

Given,

Marked Price ( MP ) = Rs 6000

Vat percent = 13 %

Discount percent = 15%

▪️Finding the discount amount

Discount amount = Discount % of MP

= 15 % of 6000

= Rs 900

▪️Finding the selling price

Selling price ( SP )= Marked price - Discount amount

= Rs 6000 - Rs 900

= Rs 5910

▪️Finding the vat amount

Vat amount = Vat % of SP

= 13 % of 5910

= Rs 768.3

▪️Finding SP with VAT

SP with vat = SP + vat amount

= Rs 5910 + Rs 768.3

= Rs 6678.3

Hope I helped!

Best regards!

Attention!!:Will give brainliest, plz put the right answer. 1.Tim wrote 16 as(-2)^4. Is he correct? Explain. 2.Could −2 be used as a base to rewrite 32? 64? Why or why not?

Answers

Answer:

Hey there!

Tim is correct. (-2)^4=-2(-2)(-2)(-2), which is 16.

-2 can be used as a base, because (-2)^5=32, and (-2)^6=64

Let me know if this helps :)

what is negative 10 multiplied by negative 9

Answers

Answer:

90      hehehhehhhe

Step-by-step explanation:

Answer:90because there are two negatives and that would make a positive believe u just multiply and ignore the negatives.:)

Step-by-step explanation:

15-8x Choose ALL of the statements that are TRUE. The factors are 8 and x. The coefficient is -8. The constant is -8. The terms are 15 and -8x. The coefficient is 15. The constant is 15.

Answers

3 Answers:Coefficient is -8Terms are 15 and -8xConstant is 15

Explanation:

The coefficient is the number just to the left of the variable. So that's why -8 is the coefficient for -8x. This is the variable term while 15 is the constant (it has no variable multiplied with it). The two terms are 15 and -8x since we can write 15-8x as 15+(-8x). Terms are separated by a plus sign.

The number of birds (b) in a park increases when the number of dogs in the park (d) decreases. Write the correct equation for this scenario, and solve for the number of birds when there are 10 dogs.

Answers

Complete question :

The number of birds (b) in a park increases when the number of dogs in the park (d) decreases. Write the correct equation for this scenario, and solve for the number of birds when there are 10 dogs.

Dogs(d) - - birds(b)

40 - - - - - - 10

50 - - - - - - 8

Answer:

b = k/d ; 40

Step-by-step explanation:

From the table:

Dogs(d) - - birds(b)

40 - - - - - - 10

50 - - - - - - 8

The number of birds(b) in a park increases when the number of dogs (d) decreases.

Hence we can infer that an inverse relationship exists between them.

Number of birds(b) ∝ 1 / number of birds

b ∝ 1 / d

b = k/d

k = (b × d)

Where k is the proportionality constant

When d = 40, b = 10

Solve for k

k = (40 * 10)

k = 400

Therefore, number of birds(b), when there are 10 dogs;

b = k/d

k = 400, d = 10

b = 400 / 10

b = 40

40 birds when dogs = 10

Your friend claims to have drawn a regular polygon with sides 8 centimeters and a perimeter of 52 centimeters. Use the formula n=Ps to explain why your friend must have made a mistake.

Answers

Answer:

The formula should be n=P/s

Step-by-step explanation:

n=Ps is the perimeter multiplied by each side. If you want to find the perimeter of each side or (P) you have to divide it by each side (s). Each side should be 6 1/2 or 6.5 cm

Find two consecutive even integers such that 5 times their sum is 26 more than their product. (Enter your answers as a comma-separated list.)

Answers

Answer:

The two consecutive even integers = (4, 6)

Step-by-step explanation:

We are asked in the question to find two consecutive even integers such that 5 times their sum is 26 more than their product.

Two consecutive even integers is represented as: x, x + 2

Five times their sum is 26 more than their products

5( x + x + 2) = [x × (x + 2)] + 26

5( 2x + 2) = (x² + 2x) + 26

10x + 10 = (x² + 2x ) + 26

x² + 2x + 26 - 10x - 10 = 0

x² - 8x + 16 = 0

We factorise

x² - 4x - 4x + 16 = 0

(x² - 4x) -(4x + 16) = 0

x(x - 4) -4(x - 4) = 0

(x - 4)(x - 4) = 0

(x - 4)²

Hence

x - 4 = 0

x = 4

Since, we know that two consecutive even integers = (x , x + 2)

First even integer = x = 4

Second even integer = x + 2 = 4 + 2

= 6

Therefore, the two consecutive even integers = (4, 6)

the c of a shirt a less than $27.50

Answers

Answer:

See Below:

Step-by-step explanation:

C(Shirt) < 27.50

Find the area of a triangle with a height of 9 cm and a base of 5 cm

Answers

Answer:

22.5 cm²

Step-by-step explanation:

Area of Triangle Formula: 1/2bh

Step 1: Define variables

h = 9

b = 5

Step 2: Plug into formula

1/2(9)(5)

1/2(45)

45/2

22.5 cm²

Answer:

22.5 cm^2.

Step-by-step explanation:

Area = 1/2 * base * height

= 1/2 * 9 * 5

= 22.5 cm^2.

you accidentally dropped a coin from the top of 10 stairs. what is the probability that it will land on the 4th step facing up

Answers

Answer:

Step-by-step explanation:

1/10 * 1/4 = 1/14

1/2 because there is a 50/50% chance its either heads or tails

How many integers n are are such that (n + i)^4 is also an integer? I don't know how to solve this equation.

Answers

Answer:

n^4+ n^3&i + n^2*i^2 + n*i^3+i^4

if T is the midpoint of SU, find the values of x and ST

Answers

T is the midpoint of the line, meaning that in line SU, line ST and line TU are of equal length, since T is at the middle of the line.

[tex]9x=4x+25[/tex]

[tex]5x=25[/tex]

[tex]x=5[/tex]

[tex]ST=9x[/tex]

[tex]ST=9*5[/tex]

[tex]ST=45[/tex]

Hope this helps. 頑張って!

9x=4x+25
5x=25
X=5
9(5)
ST=45

In your own word explain how to simplify the following expression: 3-8(7-5n)​

Answers

Answer:

Step-by-step explanation:

Equation at the end of step 1

 3 -  8 • (7 - 5n)

STEP

2

:

Final result :

 40n - 53

evaluate the expression

Answers

Your answer is this >

Express the interval set builder notation

Answers

Answer:

{x | -1 < x ≤ 2}

Step-by-step explanation:

Interval given in the notation of (a, b) denotes,

Upper limit at 'b' and lower limit at 'a'

Sign () denotes the interval between a and b exclusive of the numbers a and b.

Interval given as [a, b] represents,

a = lower limit

b = higher limit

Notation of [] show the interval inclusive of these numbers.

Given set in the question is (-1, 2]

Here (-1) is the lower limit and 2 is the upper limit.

(] notation shows exclusive of (-1) and inclusive of 2.

Therefore, solution set in set-builder notation will be {x | -1 < x ≤ 2}

Create a table of points from the equation f(x)=3x2−8x+2.

Answers

Answer:

(See explanation below for further details)

Step-by-step explanation:

A second order polynomial (quadratic function) can be well represented with at least three distinct points. Let is take five equidistant different points:

x = 0

[tex]f(0) = 3\cdot (0)^{2}-8\cdot (0) +2[/tex]

[tex]f(0) = 2[/tex]

x = 1

[tex]f(1) = 3\cdot (1)^{2}-8\cdot (1)+2[/tex]

[tex]f(1) = -3[/tex]

x = 2

[tex]f(2) = 3\cdot (2)^{2}-8\cdot (2)+2[/tex]

[tex]f(2) = -2[/tex]

x = 3

[tex]f(3) = 3\cdot (3)^{2}-8\cdot (3)+2[/tex]

[tex]f(3) = 5[/tex]

x = 4

[tex]f(4) = 3\cdot (4)^{2}-8\cdot (4) + 2[/tex]

[tex]f(4) = 18[/tex]

The table of points from the equation [tex]f(x) = 3\cdot x^{2}-8\cdot x +2[/tex] is:

          [tex]x[/tex]                            [tex]f(x)[/tex]

          0                             2

          1                             -3

          2                            -2

          3                             5

          4                             18

A graphic of the given function is included below as attachment.

Make M the subject of the expression T=WPLM² - (M-S)²​

Answers

Answer:

The answer is

[tex]M = \sqrt{WPLM^{2} - T } + S[/tex]

Step-by-step explanation:

First move (M-S)² to the right side of the equation

That's

(M-S)² = WPLM² - T

Find the square root of both sides

That's

[tex]M-S = \sqrt{WPLM^{2} - T }[/tex]

Move S to the right side of the equation to make M stand alone

We have the final answer as

[tex]M = \sqrt{WPLM^{2} - T } + S[/tex]

Hope this helps you

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