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AVprozaik [17]
3 years ago
15

Un bus par de Nantes a 15h50 et arrive a tours a 19h05 après avoir parcouru 221km

Mathematics
1 answer:
Anettt [7]3 years ago
8 0

Answer:

1) 3:15 hours.

2) 68 km per hour.

Step-by-step explanation:

Since a bus from Nantes at 3:50 p.m. and arrives at Tours at 7:05 p.m. after having traveled 221km, to calculate the journey time in hours and minutes and calculate the average speed of this bus, the following calculations must be performed:

1) 7:05 - 3:50 = 3:15

     Thus, the duration of the trip was 3 hours and 15 minutes

2) 0:15 = 0.25

    221 / 3.25 = X

    68 = X

    Thus, the average speed of the bus was 68 km per hour.

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4x + 2y = 8 16x - y = 14
lys-0071 [83]
Equation 1)  4x + 2y = 8
Equation 2)  16x - y = 14

Multiply all of equation 2 by 2.

2)  2(16x - y = 14)

2)  32x - 2y = 28
1)  4x + 2y = 8

Add equations together.

36x = 36

Divide both sides by 36.

x = 1

Plug in 1 for x in the first equation.

4x + 2y = 8

4(1) + 2y = 8

4 + 2y = 8

Subtract 4 from both sides.

2y = 8 - 4

2y = 4

Divide both sides by 2.

y = 4/2

y = 2

So, x = 1, y = 2

~Hope I helped!~
7 0
3 years ago
One number is five more than another number. If the square of the smaller number is 3 more than 3 times the larger number, what
11111nata11111 [884]

Answer:

6 and 11

Step-by-step explanation:

n1 = n + 5

ns^2 = 3 + 3nb

6^2 = 3 + 3(11)

36 = 3 + 33

11 = 6 + 5

3 0
2 years ago
The equation of a line is y = 8x + 2, and the point (3,q) lies on this line.
never [62]

Answer:

q = 26

Step-by-step explanation:

Given the point (3, q ) lies on the line then the coordinates satisfy the equation.

Substitute x = 3, y = q into the equation

q = 8(3) + 2 = 24 + 2 = 26

8 0
3 years ago
Read 2 more answers
To make Diane's special punch it take 4 cups of juice for every 7 cups of Lime soda. How much juice will be needed if we have 21
stiks02 [169]

Answer:

Step-by-step explanation:

4 cups of J for every 7 cups of soda  4:7

21 cups of soda will take 12 cups of J

If you take the 7 and multiply by 3 you get the 21.

So you will need to multiply the 4 by the 3 to get the 12. You need to keep everything in proportion.

4:7   same as 12:21

4 0
3 years ago
Find the radius of a circle having area 616cm square.​
OLEGan [10]

Answer:

\boxed{\sf Radius \ of \ circle = 14 \ cm}

Given:

Area of circle = 616 cm²

To Find:

Radius of circle

Step-by-step explanation:

\sf \implies Area \ of \ circle = \pi r^{2}  \\  \\  \sf \implies 616 =  \frac{22}{7}  \times  {r}^{2}  \\  \\  \sf \implies 616 \times  \frac{7}{22}  =  {r}^{2}  \\  \\  \sf \implies 28 \times  \cancel{22} \times  \frac{7} { \cancel{22}}  =  {r}^{2}  \\  \\  \sf \implies 28 \times 7 =  {r}^{2}  \\  \\  \sf \implies 196 =  {r}^{2}  \\  \\  \sf \implies  {r}^{2}  = 196 \\  \\  \sf \implies r =  \sqrt{196}  \\  \\  \sf \implies r =  \sqrt{ {14}^{2} }  \\  \\  \sf \implies r = 14 \: cm

4 0
3 years ago
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