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Lina20 [59]
3 years ago
14

The sum of three consecutive odd numbers is less than or equal to 33. Write an inequality and solve to determine the maximum val

ue of the lowest number.
Mathematics
1 answer:
Dmitry [639]3 years ago
5 0

Answer:

9

Step-by-step explanation:

If first odd number is x

THen next consecutive odd number is x + 2

Next one is x + 4

Now, we can write the word problem as:

x+x+2+x+4 \leq 33

Now we solve:

x+x+2+x+4 \leq 33\\3x+6 \leq 33\\3x \leq 27\\x \leq 9

So, x is less than or equal to 9, so it can be

9, 7, 5 .....

What is the maximum value of the lowest number (x)?? It is 9

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Step-by-step explanation:

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A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets
Paraphin [41]

Answer:

Divide the 1st equation by 2

a + 2c = 19

Divide the 2nd equation by 3

a + c = 13.5

Subtract the 1st equation and the 2nd equation

c = 5.5

Substituting back into the 2nd equation will give:

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Step-by-step explanation:

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AD= 36 cm. Points C, B∈AD, such that AB:BC:CD=2:3:4. Find the distance of midpoints of the segments AB and CD.
brilliants [131]

Answer:

The distance of the midpoints of AB and CD is 24 cm

Step-by-step explanation:

The given information are;

The length of AD = 36 cm.

C and B are points on AD

The ratio of AB:BC:CD 2:3:4

The distance of the midpoints of segments AB and CD required

Therefore, we have the following proportion of the total length, 36

Segment AB = 2/(2 + 3 + 4) = 2/9×36 = 8 cm

Segment BC = 3/(2 + 3 + 4) = 3/9×36 = 12 cm

Segment CD = 4/(2 + 3 + 4) = 4/9×36 = 16 cm

The x-coordinate of the midpoint of segment AB = 4 cm

The x-coordinate of the midpoint of segment CD = 8 + 12 + 16/2 = 28 cm

Which gives;

The distance of midpoint of segment AB from A = 4 cm

The distance of midpoint of segment CD  from A = 28 cm

And the distance of the midpoints of AB and CD = 24 - 4 = 24 cm.

4 0
3 years ago
If you ride your bike at an average speed of 15 mph, how long will it take you to ride to your grandparents’ home? Express your
saveliy_v [14]

Answer:

It will take you 0.24 hour to ride to your grandparents’ home

It will take you 14 minutes to ride to your grandparents’ home

Step-by-step explanation:

- Your average speed is 15 miles per hour

- The distance to grandmother home is 3.67 miles

- You need to know how long it will take you to do that

∵ Distance = speed × time

∵ Distance = 3.67 miles

∵ Speed = 15 miles per hour

- Substitute these values in the rule above

∴ 3.67 = 15 × time

- Divide both sides by 15 to find the time

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* It will take you 0.24 hour to ride to your grandparents’ home

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∴ Time = 0.24 × 60 = 14.4

∴ Time ≅ 14 minutes

* It will take you 14 minutes to ride to your grandparents’ home

5 0
3 years ago
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