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kramer
3 years ago
12

Rob can mop a warehouse in 10 hours. Maria can mop the same warehouse in 11 hours. Find how long it would take them if they work

ed together.
Mathematics
2 answers:
Natali [406]3 years ago
4 0
The answer would be 21 good luck hope you get it correct
Wittaler [7]3 years ago
3 0

Answer:

It would take them  \frac{110}{21} or approximately 5.24 hours together

Step-by-step explanation:

Use the algebra work formula, \frac{1}{tb} = \frac{1}{t1} + \frac{1}{t2}, where tb is the time together, t1 is the time of one person individually, and t2 is the time of the other person.

Plug in 10 and 11:

\frac{1}{tb} = \frac{1}{t1} + \frac{1}{t2}

\frac{1}{tb} = \frac{1}{10} + \frac{1}{11}

Find the common denominator, then add the fractions together:

\frac{1}{tb} = \frac{11}{110} + \frac{10}{110}

\frac{1}{tb} = \frac{21}{110}

Cross multiply and solve for tb:

110 = 21tb

5.24 = tb

So, it would take them \frac{110}{21} or approximately 5.24 hours together

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What is the explicit formula for the sequence 10, 15, 22.5, 33.75, …?
Flura [38]

Answer:

Step-by-step explanation:

Since there's no one one number you can add to one number in the sequence to get to the next number, this is not arithmetic. It must be geometric. We need then to find the common ratio. Let's start with the first 2 numbers, find a ratio, and then use it to test for accuracy.

10x = 15 and

x = \frac{15}{10}=\frac{3}{2} If this is in fact a geometric sequence witha common ratio of 3/2, we should be able to multiply 15 by 3/2 to get to the next number in the sequence. Let's try it out:

15(\frac{3}{2})= \frac{45}{2}=22.5 Good. So the common ratio is 3/2. The formula for an explicit geometric formula is

A_n=a_1(r)^{n-1 where a1 is the first number in the sequence and r is the common ratio. Filling in:

A_n=10(\frac{3}{2})^{n-1

8 0
3 years ago
Circle A has center of (2, 8), and a radius of 2 and circle B has a center of (5, 4), and a radius of 10. What steps will help s
Viktor [21]

Answer:

1. Translate circle A using the rule (x − 3, y + 4).

4. Dilate circle A by a scale factor of 5

Step-by-step explanation:

we know that

All circles are similar figures

step 1

Translate the center of circle A to the center of circle B

we have

A(2,8) -----> B(5,4)

so

The rule of the translation is

(x,y) ----> (x+a,y+b)

(2,8) ----> (2+a,8+b)

2+a=5 ----> a=5-2=3

8+b=4 ---> b=4-8=-4

therefore

The rule of the translation is

(x,y) ----> (x+3,y-4)

step 2

Divide the radius of circle B to the radius of circle A to find out the scale factor

10/2=5

so

Multiply the radius of circle A by the scale factor to obtain the radius of circle B

therefore

Dilate circle A by a scale factor of 5

3 0
3 years ago
A snail can crawl 2/5 of a meter in a minute.
gavmur [86]
For 2/5 meter, it takes = 1 min.
For 1 meter, it is = 5/2 min.

Now, for 6 meters, it would be: 5/2 * 6 = 30/2 = 15

In short, Your Answer would be 15 minutes

Hope this helps!
6 0
3 years ago
Read 2 more answers
39 is 5% of what number?
Inessa05 [86]

Answer:

780

Step-by-step explanation:

Explanation:

To get from  

5% to 100% you multiply by 20, so multiply the number in this case 39 by 20 percent.

6 0
3 years ago
Round 1.3981 to 3 significant figures
Scorpion4ik [409]
The answer would be 1.40. The 3 significant figure are 1.39 and it wants us to round so we look at the 8 in 1.3981 and since 8 > 5 we know to round up.
4 0
3 years ago
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