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Greeley [361]
3 years ago
12

A car travels at a constant speed of 45 km per hour for 5 min each wheel has a radius of 25 centimeters calculate the number of

complete revolutions that the wheel makes in 5 min
Mathematics
1 answer:
Arisa [49]3 years ago
6 0

Answer:

477.47 revolutions

Step-by-step explanation:

From the information given:

The formula for calculating the circumference = 2π r

Given that the radius of each wheel = 25 centimeter

Then, the circumference = 2 π (25)

= 50π cm

The distance traveled in 5 minutes is as follows:

Given that:

The speed = 45 km/ hour

i.e.

1 hour = 45 km

In an hour, we have 60 minutes

So, 60 minutes = 45 km

1 minute = 45/60 = 0.75 km

To cm;

0.75 km = (0.75 × 1000) m = 750 m

750 m = 750 × 100 = 75,000 cm

∴

The number of revolution in 5 minutes sInce 1 revolution =  50π cm is:

=  75,000 cm/ 50π cm

= 477.47 revolutions in 5 minutes

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The ratio of red marbles to blue marbles in a bag is 3:4 . If there are 42 marbles in the bag. how many marbles are red?
PolarNik [594]

Answer:

18 marbles

Step-by-step explanation:

Step 1

Express the fraction of each type of marble as a function of the total number of marbles as shown;

Let;

total marbles=x

red marbles=3/(3+4)=3/7x

blue marbles=4/7 x

But x=42 marbles

The total number of marbles for each type can be expressed as;

total number of red marbles=fraction of red marbles×total number of marbles

where;

fraction of red marbles=3/7 x

total number of marbles=42

replacing;

total number of red marbles=(3/7)×42=18 marbles

total number of blue marbles=fraction of blue marbles×total number of marbles

where;

fraction of blue marbles=4/7 x

total number of marbles=42

replacing;

total number of blue marbles=(4/7)×42=24 marbles

5 0
2 years ago
The length is _____ the width is______ and the area of the actual room is ___ _______
RSB [31]

Answer:

98 square inches.

Step-by-step explanation:

The length is 14 inches. The width is 7 inches.

7 * 14 = 98 square inches.

The area is 98 square inches.

8 0
3 years ago
Can somebody solve this system equation using addition please?
givi [52]

-4x - 5y = 7

3x + 5y = -14

You can add these two equations together straightaway since the y-terms have opposite coefficients.

-4x - 5y = 7

3x + 5y = -14

+___________

-x - 0 = -7

-x = -7

x = 7

Substitute 7 for x into either of the original equations and solve algebraically to find y.

3x + 5y = -14

3(7) + 5y = -14

21 + 5y = -14

21 = -14 - 5y

35 = -5y

-7 = y

Finally, check work by substituting both x- and y-values into both original equations.

-4x - 5y = 7

-4(7) - 5(-7) = 7

-28 + 35 = 7

7 = 7

3x + 5y = -14

3(7) + 5(-7) = -14

21 - 35 = -14

-14 = -14

Answer:

x = 7 and y = -7; (7, -7).

7 0
3 years ago
Matthew scored a total of 160 points in a basketball session he scored 147 of those points in a regular season in the West were
kirza4 [7]
160 minus 147 is 13      13 over 160 multiplied by 100 equals 8.125 percent
3 0
3 years ago
What is the volume, in cubic feet, of this composite figure? (Do not write
Alenkasestr [34]
I think the answer is 5
8 0
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