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mestny [16]
3 years ago
9

5×70=5×(_×10)5×70=(5×_)x105×70=_×10=_​

Mathematics
1 answer:
Dimas [21]3 years ago
6 0

Answer:

7

7

35 * 10 = 350

Step-by-step explanation:

We have 5 * 70 split up into multiple ways, and we need to provide an answer at the end of it.

5 * 70 = 5 * (__ * 10)

We have to equal the value of 5 * 70 by inputting the missing number.

What times 10 equals 70?

7.

5 * 70 = (5 * __) * 10

This goes for the same as the one before, what times 5 equals 5 * 70 to the same amount?

7.

5 * 70 = __ * 10 = __

Now for the final part, we take the information from before and implement to here, what is 5 * 7?

35.

Now do 35 * 10 :

35 * 10

350

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An item has a listed price of $30 if the sales tax rate is 7% how much is the sales tax in dollars
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Answer:

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4 0
3 years ago
Wilma can mow a lawn in 60 minutes. Rocky can mow the same lawn in 40 minutes. How long does it take for both Wilma and Rocky to
UNO [17]
<h3>Answer:  24 minutes</h3>

===================================================

Explanation:

Let's say the lawn is 120 square feet. I picked 120 as it is the LCM (lowest common multiple) of 60 and 40.

Since Wilma can mow the lawn in 60 minutes, her rate is 120/60 = 2 sq ft per minute. In other words, each minute means she gets 2 more square feet mowed. Rocky can do the full job on his own in 40 minutes, so his rate is 120/40 = 3 sq ft per minute.

Their combined rate, if they worked together (without slowing each other down), would be the sum of the two rates. So we get 2+3 = 5 sq ft per minute as the combined rate. The total time it would take for this 120 sq ft lawn is 120/5 = 24 minutes.

--------------------------

Another approach

Wilma takes 60 minutes to do the full job, so her rate is 1/60 of a lawn per minute. Rocky's rate is 1/40 of a lawn per minute. Their combined rate is

1/60 + 1/40 = 2/120 + 3/120 = 5/120 = 1/24 of a lawn per minute

x = number of minutes

(combined rate)*(time) = number of jobs done

(1/24)*x = 1

x = 1*24

x = 24 is the time it takes if they worked together without getting in each other's way.

Effectively, we are solving the equation

1/A + 1/B = 1/C

with

A = time it takes Wilma to do the job on her own

B = time it takes Rocky to do the job on his own

C = time it takes the two working together to get the job done

The equation above is equivalent to C*(1/A + 1/B) = 1 or (1/A + 1/B)*C = 1.

So basically you find the value of 1/A + 1/B, then find the reciprocal of this to get the value of C.

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3 years ago
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