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Softa [21]
3 years ago
5

Retro Rides is a club for owners of vintage cars and motorcycles. Every year the club gets together for a ride. This year, 38 ve

hicles participated in the ride. The total number of tires of all the vehicles was 114. Assuming each car has 4 tires and each motorcycle has 2 tires, how many each of cars and motorcycles participated in the ride? A. 16 cars; 22 motorcycles B. 23 cars; 15 motorcycles C. 19 cars; 19 motorcycles D. 21 cars; 17 motorcycles
Mathematics
2 answers:
joja [24]3 years ago
8 0

Answer:

22 cars; 32 motorcycles

Step-by-step explanation:

I Did It On Study Island

Oxana [17]3 years ago
4 0

Answer:

C. 19 cars; 19 motorcycles

Step-by-step explanation:

Let c represent the number of cars and m represent the number of motorcycles that participated this year.

This year a total of 38 vehicles participated. So, we can write the equation as:

c + m = 38                                                (Equation 1)

Each car has 4 tires, so number of tires in c cars will be 4c.

Each motorcycle has 2 tires, so number of tires in m motorcycles will be 2m.

In total there were 114 tires, so we can set up the equation as:

4c + 2m = 114                                          (Equation 2)

From equation 1, m = 38 - c. Using this value in Equation 2, we get:

4c + 2(38 - c) = 114

4c + 76 - 2c = 114

2c = 114 - 76

2c = 38

c = 19

Using this value in equation 1, we get:

19 + m = 38

m = 19

Thus, 19 cars and 19 motorcycles participated in the ride.

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8 0
3 years ago
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What are the measures of angles M and N?
romanna [79]

Answer:

mM = 113 and mN = 61

Step-by-step explanation:

In a Cyclic quadrilateral, the rule states that:

The sum opposite interior angles is equal to 180°

In the above diagram, we have cyclic quadrilateral KLMN

According to the rule stated above:

Angle K is Opposite to Angle M

So, Angle K + Angle M = 180°

Angle K = 67°

67° + Angle M = 180°

Angle M = 180° - 67°

Angle M = 113°

Angle L is Opposite to Angle N

so Angle L + Angle N = 180°

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119° + Angle N = 180°

Angle N = 180° - 119°

Angle N = 61°

Therefore, Angle M = 113° and Angle N = 61°

7 0
2 years ago
Imagine a pond. In it sits one lilypad, which reproduces once a day. Each of its offspring also reproduces once a day, doubling
sergeinik [125]

Answer: On the 29th day

Step-by-step explanation:

According to this problem, no lilypad dies and the lilypads always reproduce, so we can apply the following reasoning.

On the first day there is only 1 lilypad in the pond. On the second day, the lilypad from the first reproduces, so there are 2 lilypads. On day 3, the 2 lilypads from the second day reproduce, so there are 2×2=4 lilypads. Similarly, on day 4 there are 8 lilypads. Following this pattern, on day 30 there are 2×N lilypads, where N is the number of lilypads on day 29.

The pond is full on the 30th day, when there are 2×N lilypads, so it is half-full when it has N lilypads, that is, on the 29th day. Actually, there are 2^{30} lilypads on the 30th, and 2^{29} lilypads on the 29th. This can be deduced multiplying succesively by 2.  

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3 years ago
What is the area of this triangle?
olganol [36]

Answer:

the answer of the question is D

3 0
3 years ago
A violin student records the number of hours she spends practicing during each of nine consecutive weeks: 6.2 5.0 4.3 7.4 5.8 7.
spin [16.1K]

Answer:

A) classify the value 1.2 as an outlier, because it is more than 1.5 × IQR below the first  quartile.

Correct we satisfy that 1.2 <1.7 the lower limit

Step-by-step explanation:

Assuming this complete question: A violin student records the number of hours she spends practicing during each of nine consecutive weeks:

6.2 5.0 4.3 7.4 5.8 7.2 8.4 1.2 6.3

For this case we need to sort the data first on increasing way and we got:

1.2, 4.3, 5.0, 5.8, 6.2, 6.3, 7.2, 7.4, 8.4

For this case we have 9 values the median would be on the 5 position:

Median = 6.2

The first quartile would be 5 since we analyze 1.2, 4.3, 5.0, 5.8, 6.2 and the middle point is 5.0

The third quartile would be 7.2 since we analyze 6.2, 6.3, 7.2, 7.4, 8.4 and the middle point is 7.2

Then the interquartile rnage would be:

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And 1.5 IQR = 1.5*2.2=3.3

The lower limit on this case would be:

LL= Q_1 -1.5 IQR= 5-3.3=1.7

And our value is 1.2 is lower than the lower limit 1.7

Considering the smallest data value (1.2) and using the 1.5 × IQR rule, we would:

A) classify the value 1.2 as an outlier, because it is more than 1.5 × IQR below the first  quartile.

Correct we satisfy that 1.2 <1.7 the lower limit

B) not classify the value 1.2 as an outlier, because it is not more than 1.5 × IQR below  the first quartile.

False 1.2 is more than 1.5 IQR below the first quartile

C) classify the value 1.2 as an outlier, because it is more than 1.5 × IQR below the  median.

False, we analyze if is an outlier comparing with the Q1 or Q3 not with the median

D) classify the value 1.2 as an outlier, because it is more than 1.5 × IQR below the  mean.

False we analyze if is an outlier comparing with the Q1 or Q3 not with the mean

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