To reach his office on time, Mr Chin usually drives to work at an average speed of 75 km/h. However, if Mr Chin increases his average driving speed by 5 km/h, he will reach his office 10 minutes earlier. If the distance Mr Chin needs to travel to reach his office is represented by x km, form an equation in x and solve for x.

Answers

Answer 1

Answer:  x = 200 km

Step-by-step explanation:

Distance(x) = Speed(s) x Time(t)

t is in hours

x=s*t

At 75km/h:  75*t = x

At 80km/h:  80*(t-(10/60)) = x  [the -(10/60) is the 10 minutes saved, in hours]

We know the distance, x, is the same, so we can set these equal to each other:

75*t = 80*(t- (10/60))

75*t = 80*t - 13.3333

-5*t = -13.3333

t = 2 2/3 hours

Both situations should give the same distance with 2 2/3 and 2 2/3 - :

x = (75 km/hr) x ( 2 2/3 hr)= 200 km

x = (80 km/hr) x (2 2/3 - 1/6 hr) = 200 km


Related Questions

solve the proportion (someone pls help)

Answers

X=23

3x=2x+8+15

3x=2x+23

3x−2x=23

um I need help with thissss

Answers

Answer:

its you again

Step-by-step explanation:

if they have the same amount of dashes on the same sided they are congruent

does that answer your question

if they have the same amount of dashes on the same sided they are congruent

Find the perimeter.Simplify your answer.

Answers

Answer:

20c+14

Step-by-step explanation:

To find the perimeter we have to add up all the sides

4c+6c+7+4c+6c+7

Combine light terms

20c+14

Answer:

Well your not given C so we just leave that be and we can just add up all 4 sides since perimeter means outside length total. Now when added up,

6c+7+6c+7+4c+4c= 20c+14

20c+14 is the perimeter

What is the value of x? Show your work.​

Answers

[tex] \frac{30}{25} = \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{5 \times 6}{5 \times 5} = \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{6}{5} = \frac{4x - 4}{20} \\ [/tex]

Multiply both sides by 20

[tex]20 \times \frac{6}{5} = 20 \times \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{5 \times 4 \times 6}{5} = 4x - 4 \\ [/tex]

[tex]24 = 4x - 4[/tex]

Add both sides 4

[tex]24 + 4 = 4x - 4 + 4[/tex]

[tex]28 = 4x[/tex]

Switch sides

[tex]4x = 28[/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{28}{4} \\ [/tex]

[tex]x = 7[/tex]

There you go...

Have a great day ❤

what is the difference of 23xand 9 x​

Answers

Answer:

14x

Step-by-step explanation:

.....................

Giving brainliest to correct answer
1/4 + 1/3 + 11/12 6/15 + 3/10 + 3/5
4/5 + 3/15 - 2/3 4 2/5 + 5 2/6

Answers

Answer:

#1) 3/2 #2) 13/10 #3) 1/3 #4) 49/15

Step-by-step explanation:

This may not be right because I don't know if you wanted the answers in fractions or not, but I tried. There's too much work to show. Sorry.

What is the slope-intercept form and slope and y-intercept of the problem: -4x+2y=10?

Answers

Answer:

slope intercept is y=mx+b where m is the slope and b is the y intercept

so the slope is 2 and the y intercept is 5 so the equation is y=2x+5

Step-by-step explanation:

Crystal has played the piano for 15 years. Jane has played for 3 years. How many
times longer has Crystal played the piano I need equation: and answer

Answers

Answer:

15/3=5

Step-by-step explanation:

Crystal has played the piano for 5 times longer than Jane.

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8

Answers

Answer:

C

Step-by-step explanation:

Slope can truly be anything as long as they're equal

Answer:

c.their slopes are equal

PLS HELP ME!!! I really need help with this!!! Pls give me an honest answer my teacher is going to grade this.

Answers

Total length = 111.6 metres
(12.3x7) + 15 + 10.5 = total length

At the market you spent $21 for 5 bags of chips and 3 bottles of mango juice. Your buddy
spent $12 for 2 bags of chips and 3 bottles of mango juice. How much does each item cost?

Answers

Answer:

$2 for each bottle of mango juice and 3$ for each bag of chips

Step-by-step explanation:

hope it can help you lovelots

It costs $12 to enter the fair and $0.50 per ticket for rides. How much total would you spend if you paid admission and bought 70 tickets? plz hurry will mark brainlest

Answers

The initial cost is $12 to enter.

Each ticket is $.50

we want to find out how much it costs for 70 tickets so we multiply the cost by the amount;

70 x .50 = 35

Therefor including the entry fee, it would cost $35 + $12

Which is $47

I hope this helps! :)

Find $\left(\frac{5}{7}\right)^{3}\left(\frac{4}{5}\right)^{3}$.
Can u answer this?

Answers

~fractions

[tex] \large \tt( \frac{ 5 }{ 7 } ) ^ { 3 } ( \frac{ 4 }{ 5 } ) ^ { 3 }[/tex]

[tex] \large \tt = \frac{125}{343}\times \left(\frac{64}{125}\right) [/tex]

[tex] \large \tt = \frac{125\times 64}{343\times 125} [/tex]

[tex] \large \tt = \boxed{\frac{64}{343} } \: ✓[/tex]

~ nice to help you ^^


Work out the area of the pentagon.
Give your answer correct to 3 significant figures.

//answer please

Answers

Answer:

Step-by-step explanation:

A = 1/4√5(5+2√5)a²

Can anyone help me with this

Answers

Answer:

12

Step-by-step explanation:

Answer:

4

very simple algebric question...hope its help you

0.000456 in scientific notation (Please answer fast this is on my final math exam!)

Answers

Answer:

0.000456 in scientific notation

= 4.56 × 10-4

Step-by-step explanation:

Can I have brainliest?

0.000456 in scientific notation is 4.56 × 10-4

Given: x + 2 < -5.



Choose the solution set.

{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}

Answers

Answer:

x < -7

Step-by-step explanation:

Subtract 2 on both sides to get x < -7.

Hope this helps :)

Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.

Answers

Answer:

Step-by-step explanation:

These two angles are interior and on the same side of the transversal. Therefore they are supplementary.

6x + x + 5 = 180

7x + 5 = 180                   Subtract 5 from both sides

7x = 180 - 5

7x = 175                        Divide by 7

x = 175/7

x = 25

x + 5 = 25 + 5 = 30

6x = 6*25 =       150

(1 point) Water is leaking out of an inverted conical tank at a rate of 8500.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 14.0 m and the the diameter at the top is 7.0 m. If the water level is rising at a rate of 29.0 cm/min when the height of the water is 1.5 m, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

Answers

Answer:

2030.4

Step-by-step explanation:

divided 85 and 7.0

Find the equation of this line. i’m really confused and i really need help.

Answers

Y=-2/5+1 ?I think this is right

72% of 25 students are interested in mathematics how many are not interested in mathematics by moderators. ​

Answers

Answer:

7 students

Step-by-step explanation:

72/100 × 25 students = 18

18 students are interested in mathematics

therefore, 25 - 18 = 7 students are not interested

Bruno and Willie need a total of $50,000 to start an accounting business. Bruno has spent a lot of time getting the business set up, so Willie agrees to contribute $12,000 more than Bruno. How much money will Willie contribute?

Answers

The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

Let amount contributed by Willie be x

Let amount contributed by Bruno be y

Since Willie agreed to contribute $12,000 more than Bruno;

Therefore;

x - y = 12000....…....... equation (1)

x + y = 50,000...…....... equation (2)

By solving the system of equations simultaneously;

2x = 62000

x = 31000

and y = 50,000 - 31000

y = 19,000

In essence; The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

Read more:

https://brainly.com/question/23612222

-4y + 12 = -7y + 24
I’ll give Brain whoever solves
PLEASE DO IT STEP BY STEP

Answers

Answer:

y - 4

Step-by-step explanation:

subtract 12 from both sides of the equation

4y+12-12= -7y +24 - 12

-4y = -7y +24 - 12

subtract

-4y +-7y + 12

add 7y to both sides of the equation

-4y + 7y = -7y +12 + 7y

simplify

3y + -7y  +12 + 7y

combine like terms.

3y = 12

divide

3y/3

=12/3

simplify      

y=12 3

y = 4

Answer:

y = 4

Step-by-step explanation:

Given the algebraic equation, -4y + 12 = -7y + 24, the goal is to solve for the value of y by isolating it to either sides of the equation.  

Start by adding 7y to both sides of the equation:

-4y + 7y + 12 = -7y + 7y + 24

3y + 12 = 0 + 24

3y + 12 = 24

Next, subtract 12 from both sides:

3y + 12 - 12 = 24 - 12

3y = 12

Divide both sides by 3 to isolate and solve for y:

[tex]\frac{3y}{3} = \frac{12}{3}[/tex]

y = 4

Double-check whether the value of y will provide a true statement if plugged into the equation:

-4y + 12 = -7y + 24

-4(4) + 12 = -7(4) + 24

-16 + 12 = -28 + 24

-4 = -4 (True statement).

Therefore, the value of y = 4.

The sum of three consecutive numbers is 72.
What IS the smallest of these numbers?

Answers

If the sum of three consecutive numbers is 72 then the smallest of these numbers is 23. Verification = 23 + 24 + 25 = 72.

The points (2,-5) and (5,r) lie on a line with slope 2. Find the missing coordinate r.

Answers

Answer: r = 1

Step-by-step explanation:

The slope of a line can be represented as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].  Plugging in the following values would provide you with:

[tex]\frac{(r)-(-5)}{(5)-(2)} =2[/tex]

[tex]\frac{r + 5}{3} = 2[/tex]

[tex]r + 5 = 6[/tex]

[tex]r = 1[/tex]

Hope it helps :) and let me know if you want me to elaborate on anything.

Plz help don't understand
1 thru 4------Don't mind the other writing------

Answers

Hi there friend, I hope this helps explain a little better. Let me know if you have questions.

Find the missing value in the
equivalent ratio 12:18 = 16:
Choose
A.20
B.24
C.28

Answers

Answer:

B

Step-by-step explanation:

B because 12;18+16=B

Answer:

Find the missing value in the

equivalent ratio 12:18 = 16:

Choose

A.20

B.24

C.28



we have that

12:18 is the same that 12/18

simplify

12/18=6/9=2/3

Multiply by 8/8

(2/3)*(8/8)=16/24

therefore

the answer is the option B

Step-by-step explanation:

!!!WILL MARK BRAINLIEST IF ALL ARE ANWSERED!!! please provide short explanations

Answers

Answer:

20= 20

21. 10

22. 1.8

23. 4.4

24. 32

25. 7/9

If a=6, b=12,and c=4, then what does 2ab-c^2 equal?

Answer: 2(6)(12)-4^2 = 128

What is the prime factorization of 100,000?

Answer: 2^5× 5^5

Solve for x. 5.8 = 4x+0.2

Answer: x= 1.4

Find the area of this shape.

Answer: Area = 1.21

What is the lateral surface area of this rectangular prism?

Answer: 208 in^2

5/9 + 1/3 × 1/3 = 0.66666666666 = 2/3

Step-by-step explanation:

The prime factorization of 100,000 is 2^5 × 5^5. Since it has a total of 10 prime factors, 100,000 is a composite number.

-----------------------------------------------------------------------------------------------------

5.8-0.2=4+0.2−0.2

5.6 = 4x

5.6/4  = 4x/4

x= 1.4

-----------------------------------------------------------------------------------------------------

Square sides are equal..

A=a^2=1.1^2≈1.21

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The lateral surface area of a rectangular prism can be calculated by finding the sum of all the lateral faces of the prism, i.e. the total area excluding the area of the bases. The formula to find the surface area of a rectangular prism is given as, Lateral surface area of a rectangular prism = 2(l + b) h square units.

When a prism has its bases facing up and down, the lateral area is the area of the vertical faces. (For a rectangular prism, any pair of opposite faces can be bases.) The lateral area of a right prism can be calculated by multiplying the perimeter of the base by the height of the prism.

-----------------------------------------------------------------------------------------------------

1/6 to the power of 3

Answers

Answer:

0.00462962962

Step-by-step explanation:

can someone help me solve this question? -6 - (-10) + (-2)

Answers

Answer:

2

Step-by-step explanation:

note - (- ) = + and + (- ) = -

- 6 - (- 10) + (- 2)

= - 6 + 10 - 2

= 4 - 2

= 2

Answer:

2

Explanation:

- 6 + 10+ (- 2)

= 4+(-2)

=2

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