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Softa [21]
3 years ago
12

Inequalities Exam

Mathematics
1 answer:
Igoryamba3 years ago
3 0

Answer:

t > 8

Step-by-step explanation:

Given that :

Initial volume = 16 litres

Addition rate = 4 litres per minute

Target volume > 48 litres

Let number of minute for which water is added to achieve these = t

Mathematically,

Initial volume + (addition rate * t) > target volume

16 + 4t > 48

Collect like terms

4t > 48 - 16

4t > 32

Divide both sides by 4

4t/4 > 32/4

t > 8

Laura will need add water at 4 Litre per minute rate for more than 8 minutes

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Wilma drove at an average speed of 60 mi/h from her home in City A to visit her sister in City B. She stayed in City B 15 hours,
Triss [41]

Answer:

574.8 miles

Step-by-step explanation:

Given:

An average speed of Wilma from City A to City B =  60 miles per hour

She stayed in City B 15 hours.

An average speed of Wilma from City B to City A  =  35 miles per hour.

Whole time taken including 15 hours stay in city B = 41 hours

Question asked:

How many miles is City A from City B ?

Solution:

Total time taken including 15 hours stay in city B = 41 hours

Total time taken on the trip excluding stay in city B = 41 - 15 = 26 hour

Let time taken during from city A to city B = x

Time taken during from city B to city A = 26-x

As distance traveled from city A to city B is equal to distance traveled from  city B to city A:-

And by using : Distance=speed\times time

Distance traveled from city A to city B = Distance traveled from city B to A

speed\times time = speed\times time

60\times x=35(26-x)\\60x=910-35x

Adding both sides by 35x

95x=910

Dividing both sides by 95

x=9.58\ hours

Distance traveled from city A to city B = speed\times time

                                                               = 60 \times 9.58

                                                               = 574.8 miles

Therefore, there are 574.8 miles from City A to City B.

3 0
3 years ago
Cuanto es 2×-8+7×=19​
lesantik [10]

Answer:

x=3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Create a number pattern that follows the rule rule x3, +7. Use at least three terms in the pattern.
coldgirl [10]
I think you meant to put 3x +7. anyhow, i'll use numbers 1, 2, and 3. that would be 10, 13, and 16.
5 0
4 years ago
URGENT PLEASE ANSWER To find the distance across a river, a surveyor chooses points A and B on one side of the river. She then c
Rus_ich [418]

Answer:

The distance between A and C = 127.4

Step-by-step explanation:

* We have 3 different points A , B , C lets consider them as

 a vertices of a triangle ABC

- AB = 100

- m∠A = 47°

- m∠B = 82°

* To find the distance AC we can use the sin Rule

- In any triangle the ratio between the length of each side

 to the measure of each opposite angle are equal

- In Δ ABC ⇒ AB/sinC = BC/sinA = AC/sinB

* Lets do it to find the distance between A and C

∵ m∠A = 47° and m∠B = 82°

∵ The sum of the interior angles in any triangle is 180°

∴ m∠C = 180 - (47 + 82) = 180 - 129 = 51°

∵ AC/sin(82) = 100/sin(51)

∴ AC = 100 × sin(82) ÷ sin(51) = 127.423691

* AC = 127.4

4 0
3 years ago
the punking patch its open everyday if its sells 2750 pounds of punkings each dat about how many pounds does it sells in 7 dayas
SSSSS [86.1K]
It's just

2750 times 7

Because they sell 2750 pumpkins a day and the question is how many do they sell in 7 days

So:
2750 x 7 = 
<span>19250 pumpkins
</span>
<span>Hope that helps and correct me if I'm wrong!</span><span>

</span>
8 0
4 years ago
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