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galben [10]
3 years ago
11

A new type of pump can drain a certain pool in 4 hours. an older pump can drain the pool in 6 hours. how long will it take both

pumps working together to drain the pool? do not do any rounding.
Mathematics
1 answer:
Studentka2010 [4]3 years ago
8 0
Work in fractions of the pool the pumps can drain per hour:-

1/6 + 1/4  = 1/x     where x is the time to drain the pool by the 2 pumps together

4x + 6x = 24
10x = 24
x = 2.4  hours  <===== answer
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Find the value of x!!!!!
tino4ka555 [31]

Answer:

96 degrees

Step-by-step explanation:

The 144 degrees is on a straight line, meaning the angle next to it inside the triangle and 144 are supplementary. They add up to 180 degrees.

Coincidentally, the other two angles plus the third, unlabeled angle will add up to 180 degrees as well, meaning that the the 48+x = 144 degrees (according the property of equality, which is if a=b and b=c, then a=c). Solve for x from there:

x = 144-48

x = 96

7 0
3 years ago
Read 2 more answers
Construct parallelogram PQRS<br>with |PQ|=10cm, |ps|=8cm and<br>&lt;QPS = 120​
IgorC [24]

Find sketch of parallelogram attached

Answer and explanation:

A parallelogram is a quadrilateral which is wider than it is long. A parallelogram has two sides parallel to the other. From the above, we are told the parallelogram PQRS has an angle QPS 120, with sides 10cm and 8cm, we use this to sketch the parallelogram

We find that angle QPS is 120 degrees hence angle RSP is 60 degrees since angle on straight line is 60 degrees from 180-120 in angle QPS and alternate angles are equal. Also opposite angles of a parallelogram are equal

4 0
3 years ago
How do I solve |5-3p|+9=13p+8
anastassius [24]

Answer:

p = -2/5 or 3/8

Step-by-step explanation:

|5 − 3p| + 9 = 13p + 8

|5 − 3p| = 13p − 1

If 5 − 3p is positive:

5 − 3p = 13p − 1

6 = 16p

p = 3/8

If 5 − 3p is negative:

-(5 − 3p) = 13p − 1

-5 + 3p = 13p − 1

-4 = 10p

p = -2/5

Alternatively, we can square both sides of the equation:

(5 − 3p)² = (13p − 1)²

25 − 30p + 9p² = 169p² − 26p + 1

0 = 160p² + 4p − 24

0 = 40p² + p − 6

0 = (5p + 2) (8p − 3)

p = -2/5 or 3/8

8 0
3 years ago
Determine
Luden [163]

Answer:

\mu_{x} = 64, \sigma_{x} = 12.83

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu_{x} = \mu and standard deviation \sigma_{x} = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 64, \sigma = 77, n = 36

So

\mu_{x} = 64, \sigma_{x} = \frac{77}{\sqrt{36}} = 12.83

7 0
4 years ago
Juan sells banana bread by weight. He cuts a 1-lb loaf of banana bread into 6 equal slices. He wants to complete the table showi
Westkost [7]

Answer:

0.1\frac{}{6}

Step-by-step explanation:

When Juan cut a 1 lb loaf of banana bread into 6 slices, the weight of each slice forms a repeating decimal. A repeating decimal is a decimal number with repeating digit/s.

i.e \frac{1}{6} = 0.166666666666666...

To express the total weight for each slice, he should write a bar over 6 to show that the number repeats.

i.e \frac{1}{6} = 0.1\frac{}{6}

Note that \frac{}{6} has expressed that the division has 6 as the repeating digit in the decimal number.

4 0
3 years ago
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