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Mamont248 [21]
3 years ago
15

A car travels at the rate of 350km in 5 hours.

Mathematics
1 answer:
leva [86]3 years ago
3 0

Answer:

a.) 70 km per hour

b.) 245 km

Step-by-step explanation:

a.) Find how far the car can travel per hour by dividing:

\frac{350}{5}= 70

The car travels at a rate of 70 km per hour.

b.) Make an equation with <em>h</em> as hours and <em>d</em> as the distance the car can travel:

d=70h

Insert the hours:

d=70(3.5)

Simplify:

d=70*3.5\\d=245

At a rate of 70 km per hour, in 3.5 hours, the car can travel a total of 245 km.

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A pecan pie is being served for dessert. One piece of pie has an arc length of 7.85 in. It has been cut into 8 equal pieces. Wha
grin007 [14]

Answer:

The radius of the pie is 6.17 in.

Step-by-step explanation:

The formula for arc length as a function of radius is

s = r·Ф, where Ф is the central angle in radians.

Here we know that the arc length is 7.85 in.  Assuming that the whole pie has been cut into 8 equal pieces, the central angle of one such piece is

2π / 8, or π /4 (radians).

thus, s = r·Ф, solved for r, is r = s/Ф

and in this instance r = (7.85 in)/(π/4).  Evaluating this, we get:

                                 r = 6.17 in

The radius of the pie is 6.17 in.

8 0
3 years ago
Find the value of x and the value of y
steposvetlana [31]

Answer:

B.   x = 7, y = 4√2

Step-by-step explanation:

Drop a vertical from the upper left corner

This creates a rectangle and a 45-45-90 triangle

The bottom of the rectangle is 3

The legs of the triangle are 4

Therefor

x = 4 + 3

x = 7

For a 45-45-90 triangle

the hypotenuse = leg * √2

y = 4√2

4 0
3 years ago
40 tickets were sold for a concert, some at 75 cents and the rest at $1.25. if the total raised was $42, how many had the cheape
Murljashka [212]

Answer:

34

Step-by-step explanation:

$1.25 = 125 cents.

$42 = 4200 cents

Tickets sold at 75 cents = x

Tickets sold at 125 cents = y

x + y = 40

75x + 125y = 4200

Multiply the first equation by 75

75x + 75y = 3000

75x + 125y = 4200

Subtract the the second equation from the first.

75x + 75y = 3000

- 75x + 125y = 4200

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

0 - 150y = - 1200

Divide both sides by - 150

-150y/-150 = -1200/-150

y = 8

Substitute y = 8 into the first equation

x + y = 42

x + 8 = 42

x = 42 - 8

x = 34

34 tickets were sold for 75 cents

8 tickets were sold for $1.25

3 0
3 years ago
Trying find out which is true
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Answer:

Step-by-step explanation:

y>x+1

4 0
3 years ago
The volume of the above solid is?
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B of course i think i hope
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