Jane and Sali cycled along the same 63km route. Jane took 3.5 hours to cycle the 63km.

Sali started to cycle 4 minutes after Jane started to cycle.
Sali caught up with Jane when they had both cycled 30km.

Jane and Sali both cycled at constant speeds.

Work out Sali's speed in km/h. ​

Answers

Answer 1

Answer:

sali's speed was 18.75 km/h

Step-by-step explanation:

Jane took 3.5 hours to cycle the 63 km.

As,   , so the speed of Jane will be:  

Suppose, the speed of Sali is   km/h

Sali caught up with Jane when they had both cycled 30 km.

So, the time required for Jane to cycle 30 km  and the time required for Sali to cycle 30 km  

Given that, Sali started to cycle 4 minutes or  after Jane started to cycle. So, the equation will be.......


Related Questions

Devide. Reduce to lowest terms 3/8 1/7

Answers

2 5/8 or 21/8. Use the Keep Change Flip method. Change the sign to multiplication and flip the second fraction.
Multiply the numerators and the denominators separatley.
This cannot be simplified further, but it can be converted to a mixed number (as opposed to an improper fraction).

What is the price of a can of soda if a case of 24 is 8.99

Answers

Answer:

Discount:

20% is .2 as a decimal, so you multiply the value of 12 by .2

12(.2)=2.4

The discount is $2.40

Sale Price:

subtract 2.4 from the price of the original price

12-2.4=9.6

The sale price is $9.60

Step-by-step explanation:

Answer:

Each can of soda will cost $0.37

Step-by-step explanation:

First you write 24/8.99 = 1/x because you are trying to find the cost for 1 soda

24/8.99 = 1/x

Then you cross multiply.

24*x  8.99*1

24x=8.99

Divide each side by 24

24x/24=8.99/24

x=0.374583

Round it to the nearest hundredths place.

x=0.37

a number divided by 3 minus 5 is less than 10

Answers

Answer:

x < 45

Step-by-step explanation:

Let's call that number x. x/3 - 5 < 10, and we can add by five on both sides then multiply by 3 on both sides to get that x < 45.

15 divided by 3 minus 5 is less than 10

PLS HELP!! Jason bought glass vases for his booth at the fair. If he bought 13 vases and the total weight was 34.97 lb, how much did each vase weigh?

A. .00269 lb
B. .0269 lb
C. .269 lb
D. 2.69 lb

Answers

Answer:

D. 2.69 lb is your answer

13vases=34.97lb

1 vase=34.97/13=2.69lb

A creature on the moon throws a rock off a cliff. The height of the rock above the surface of the moon, in meters, t seconds after it is thrown is given by h(t) = −t 2 + 8t + 10. When does the rock hit the surface of the moon?

Answers

Answer:

9.099 seconds

Step-by-step explanation:

The rock hits the surface of the moon when is t is 0.

[tex]-t^2 + 8t + 10 = 0\\t^2 - 8t - 10 = 0[/tex]

Use the quadratic formula

t = -1.099 and 9.099

Since time can't be negative, the answer is t = 9.099

What was the total amount of water in the tank before it was drained

450 gallons

510 gallons

560 gallons

570 gallons​

Answers

The answer is 560 gallons

Total amount of water before it was drained will be 510 gallons.

What is rate?

"It is a ratio in which the two terms being compared have different units."

For given question,

We have been given  a table for  the number of gallons of water left in the tank after being drained for two amounts of time.

First we find the rate at which the water was drained from the tank.

[tex]r=\frac{450-330}{30-10}\\\\ r=\frac{120}{20}\\\\ r=6~gallons~per~minutes[/tex]

Let the amount of water in the tank before it was drained = 'x' gallons

And the initial time = 0

Using the rate formula,

[tex]r=\frac{x-450}{10-0}\\\\ 6=\frac{x-450}{10}\\\\ 60=x-450\\\\x=450+60\\\\x=510~gallons[/tex]

Therefore, total amount of water before it was drained will be 510 gallons.

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Triangle Theorem ( sss, sas, asa )

Answers

Answer:

A.) SSS

B.) HL

C.) SAS

HELP ILL GIVE 80 AND BRAINLIEST

Answers

Answer:

288 sq feet is my best guess

Step-by-step explanation:

Eva and Jimmy share and amount of money in the ratio of 8:5 Eva gets 21 more than Jenny. How much do they get each

Answers

Answer:

Eva:$56

Jimmy/Jenny:$35

Step-by-step explanation:

diff->8-5=3

3u->$21

1u->$21÷3=$7

Eva->$7×8=$56

Jimmy/Jenny->$7×5=$35

Cora read one sixth of her book on day one. She read one fourth of her
book on day two. What fraction of her book did she read in two days?

Answers

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{1}{6}[/tex] + [tex]\frac{1}{4}[/tex] =  finding common denominator which is 12.   so multiply both sides  with what makes them 12 ...... [tex]\frac{1}{6}[/tex]  [tex]\frac{2}{2}[/tex]    & [tex]\frac{1}{4}[/tex][tex]\frac{3}{3}[/tex]  then add = [tex]\frac{5}{12}[/tex]

The answer is 5/12 your welcome !

Triangle LMN has L at (1, -1) and M at (2, 3). Triangle L'M'N' has L' at (-1, -1), M' at (3, -2), and N' is at (-3, 0). What are the coordinates of vertex N?
N (3, 0)

N (0, 0)

N (0, 3)

N (0, -3)

Answers

Answer:

The answer is N(0,-3)

There are 37 empty seats and 13 occupied seats on a train. What percentage of the seats on the train are empty?

Answers

Answer:

92.5%

Step-by-step explanation:

Last year, the average monthly revenue at stamford times newspaper was 35,700. So far this year, the average has been 29% more than last year. What is the average revenue.

Answers

Answer:

$46,053

Step-by-step explanation:

Convert 29% into a decimal, which is 0.29.Multiply $35,700 by 29% as a decimal (0.29), which is 10,353.Since the keyword is more, we want to add $35,700 and 10,353 (29% of $35,700). The answer will be $46,053.

Without using a calculator, order the following numbers from least to greatest.
9
8
(Square root sign)72

Answers

8, (square root) 72, 9

What is the area of the parallelogram?



80 cm 2
40 cm 2
29 cm
58 cm 2

Answers

Answer:

80cm²

Step-by-step explanation:

Area of parallelogram =base×height

B=16cm

H=5

Area=16×5

80cm²

Hope this helps you :)

Step-by-step explanation:

area= b×h

area= 16cm × 5cm

area= 80 cm²

18 POINTS I need it ASAP !

Answers

Answer:

7 to the power of 3

7 3

Step-by-step explanation:

7 21/ (7 6) 3

7 21/ 7 18

Cross it out and answer is 7 3

Answer:

343

Step-by-step explanation:

[tex]\frac{7^{12} * 7^{9}}{(7^{6})^{3} }[/tex] is the equation.

1. You can add the two exponents in the numerator --> [tex]7^{21}[/tex]

2. You can multiply the exponents in the denominator --> [tex]7^{18}[/tex]

(the equation is now [tex]\frac{7^{21} }{7^{18} }[/tex])

3. Subtract the exponents to get [tex]7^{3}[/tex]

[tex]7^{3}[/tex] = 343

Joe would like to paint a rectangular shaped wall. The measures of dimensions of the wall are 8 inches by 4 inches. Every 1 inch represents 3 feet of the actual wall. If the cost of the painting is $2.50 per square feet, find the total cost of paint needed for the entire wall.

Answers

Answer:

$90

Step-by-step explanation:

8 + 4 = 12

12 x 3 (3 feet for each inch) = 36

36 x 2.50 (cost per square foot) = $90

Answer:

$240

Step-by-step explanation:

8 x 4 is 32

32 x 3 is 96

96 x 2.5 is 240

On January 29, 2019, Australian authorities confiscated 157.7 kilograms of heroin with an estimated street value of 77 million AUD (Australian dollars). The exchange rate at the time was 1 USD = 1.42 AUD. Based on this information, what was the value in U.S. Dollars per pound for the heroin? Round your answer to the nearest thousand dollars.

Answers

Answer: $343849

Step-by-step explanation:

Since the exchange rate at the time was 1 USD = 1.42 AUD, therefore we will convert 77 million AUD to dollars which will be:

= 77 million / 1.42

= $54.225 million

Therefore, the value in U.S. Dollars per pound for the heroin will be:

= $54.225 million / 157.7

= $343849 pee pound

a new computer comapny has its sales increasing by 3% each week. A second computer company has its sales decreasing by $100 each day. the first company had $500 in sales when the second company had $7000 in sales. after approximately how many weeks will the sales for the two companies be the same?
A. 9
B. 13
C. 49
D. 63

Answers

Answer:

49

Step-by-step explanation:

The equation
5
w
+
16
=
61
models how many weeks,
w
, it takes a puppy to reach a weight of
61
ounces after being born. If the puppy gains the same amount of weight each week, how many weeks does it take the puppy to reach
61
ounces?

Answers

Answer:

9 weeks

Step-by-step explanation:

5w+16=61

Subtract 16 from both sides of the above equation.

5w+16-16=61-16

5w = 45

w = 9

Kylie and her family need to buy a new refrigerator. The space available for the refrigerator measures 37 in. wide, 72 in. high, and 24 in. deep. Which size refrigerator would be the BEST fit for the available space?

Answers

Answer: Answer D, 42,000 in

Step-by-step explanation:

ok no one cares lol  lolololol

How do you know when a number is divisible by 6?

A. when the number in one's digit is even
B. when the number is divisible by 4
C. when the last three digits are divisible by 8
D. when the number is even AND is divisible by 3.

Answers

Answer:

the answer is D

Step-by-step explanation:

makes sense...

2. What is the slope of a line that contains the points (4, 2) and (5,9)

Answers

Answer:

m=7

                                               __________________

Which linear inequality is represented by the graph?

Answers

Step-by-step explanation:

the linear inequality is how to measure value of a line through quality and quantity.

Directions: Identify the slope and y intercept. Then write an equation in y = mx + b form. 9) 4 3 2 1 0 -3 -2 0 1 2 -1 -1 -2 -3 -4 Slope = y - intercept = Equation = Type here to search i a​

Answers

Answer:

dbjsbysdtsagkpadh2igdgdsdHAHAHAHAHAHAHAHAHAHAHAHAHAHAHHAHA

Answer:

Step-by-step explanation:

Find x
16 ft
х
12 ft

Answers

Answer:

x = 20

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )

x = [tex]\sqrt{400}[/tex] = 20

why doesn't an elephant smoke?

Answers

Answer:

Because it can't

Step-by-step explanation:

Answer:

i dont know, y does it smoke?

Step-by-step explanation:

Work out
Root 6 x root 6 x root 6

Answers

So you have to simplify the expression so 6√6

The value of the expression √6 × √6 × √6 will be 6√6.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ √6 × √6 × √6

Simplify the equation, then the value of the expression will be

⇒ √6 × √6 × √6

⇒ (√6)³

⇒ 6√6

The value of the expression √6 × √6 × √6 will be 6√6.

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Perform the indicated operation.



40−4
010
001
−8
−1
3





⇒ 40
⇒ 0
010
001
⇒ 4
−1
3


Multiply row 1 by the reciprocal of 4.



400
010
001
4
−1
3





100
010
001
−1
3

Answers

Answer:

yeah the answer is in the question just needed the points

Step-by-step explanation:

[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

and,

[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

What is matrix?

"A set of numbers arranged in rows and columns so as to form a rectangular array."

What is augmented matrix?

"A matrix formed by combining the columns of two matrices to form a new matrix."

What are elementary row operations?

"The mathematical operations that are performed on rows of a matrix."

For given question,

We have been given an augmented matrix.

[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

We need to perform the row operation 4R3 + R1 → R1

To perform above row operation,

- First multiply the third row by 4. ([tex]4R_3[/tex])

- Add the new third row (4[tex]R_3[/tex]) with the first row.

- Then replace Row 1 with the result.

The resultant augmented matrix would be,

[tex]\begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

That is,

[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

Now, we need to perform the row operation  [tex]\frac{1}{4}[/tex] R1 → R1 on the above resultant augmented matrix.

To perform above row operation,

- Multiply the Row 1 by the reciprocal of 4.

- Then replace Row 1 with the result.

The resultant augmented matrix would be,

[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

Therefore,

[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

and,

[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]

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Seven bottles of soft drink were put out onto the
table at a birthday party. How much soft drink
was left over after 5 2/9 bottles were consumed?

please help me due tomorrow​

Answers

Answer:

I think the answer is 1 7/9

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