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stiks02 [169]
3 years ago
8

If it takes Daniel 9 hours to clean an office building and it takes Mark 6 hours, how long would it take the two of them, workin

g together, to clean the building?
Mathematics
2 answers:
3241004551 [841]3 years ago
8 0

Answer: it will take 3.6 hours

Step-by-step explanation:

If it takes Daniel 9 hours to clean an office building, it means that the rate at which he cleans the office building per hour is 1/9

If it takes Mark 6 hours to clean the office building, it means that the rate at which Mark cleans the office building per hour is 1/6

If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be

1/9 + 1/6 = (6 + 9)/54 = 15/54

Assuming it takes t hours for both of them to clean the office working together, the working rate per hour would be 1/t. Therefore,

15/54 = 1/t

t = 54/15 = 3.6 hours

padilas [110]3 years ago
7 0

It would be 3 hours. This is 3 hours because the problem says that daniel takes 9 hours to clean and office building and mark takes 6 hours so if you subtract 9hours from 6 hours it would be 3 hours total. Now this can be 2 answers it can also be 15 hours if you were to add 9 hours to 6 hours.

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The function V(t)=1,000(1.06)^t models the value of an investment after t years. What does the ".06" represent in the function?
slamgirl [31]

Answer:

A

Step-by-step explanation:

Looking at the function, we have;

V(t) = 1,000(1.06)^t

Mathematically, the amount earned on an investment that offers a particular constant percentage return to a particular number of years can be written as;

V = I(1 + r)^t

where V is the value of the investment after some certain number of years

I is the initial amount invested

r is the constant percentage increase

and t is the number of years.

Let’s now re-write what we can deduce in the question.

This is;

V(t) = 1000(1 + 0.06)^t

Thus what this 0.06 represents is r which is the constant interest rate

8 0
3 years ago
Solve for x: 27 ^ (x + 1) = 9 ^ x​
tekilochka [14]
X = - 3 hope it help
4 0
3 years ago
Read 2 more answers
The area of a rectangle is 4w - 10 square units.
podryga [215]

Area of rectangle = 2(2w - 5) is the factored form of given expression

Multiplying the length and width of a rectangle, we get the area of the rectangle

<em><u>Solution:</u></em>

Given that, area of rectangle is 4w - 10 square units

We have to factor the expression

From given,

Area of rectangle = 4w - 10

Take 2 as common factor

Area of rectangle = 2(2w - 5)

Thus the given expression is factored

<em><u>The area of rectangle is given as:</u></em>

Area\ of\ rectangle = length \times width

Area\ of\ rectangle = 2 \times (2w - 5)

Thus, multiplying the length and width of a rectangle, we get the area of the rectangle

When we multiply 2 with 2w - 5 we get the area of rectangle

From above we can say,

Length = 2 or 2w - 5

Width = 2w - 5 or 2

So when dimensions of rectangle are multiplied we get area of rectangle

3 0
3 years ago
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli
Margarita [4]

1) The scenario is represented by the equation 1/8(x+16)=76/8, where x is the food bill.

2) The total food bill is represented by the equation x=60.

Both of these responses are correct.

Step-by-step instructions:

Because there are eight buddies in the group, the total money spent by them is $76 (including the $16 tip).

Our equation can be as follows if x is the food bill:

76/8 = (x+16)/8

Solving the Problem

9.5 = (x+16)/8

9.5*8 Equals x+16

x=76 -16 x=76 -16 x=76 -16 x=

60 = x

The cost of food is x=60.

6 0
2 years ago
Which one that doesn’t belong ? 1/20, 20/25, 2/3, 5,4 <br> Need help!!
Setler [38]

Answer:

\frac{5}{4}

Step-by-step explanation:

Out of the given options, \frac{5}{4} is the only fraction that is improper. All other options are not improper. Therefore, \frac{5}{4} would not belong is the given group of fractions.

Hope this helps.

3 0
3 years ago
Read 2 more answers
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