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Montano1993 [528]
3 years ago
8

Sally plans to run 12 miles. She ran 5 1/8 miles and then stopped for a water break. How many miles does Sakky have left to run?

Mathematics
1 answer:
pav-90 [236]3 years ago
3 0
So,

We can just subtract the fractions without converting any denominators.  To do that, we can split the subtraction problem up as follows:

12 - 5 - 1/8
7 - 1/8
6 7/8

Sally still has 6 7/8 or 6.875 miles to run.
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If 10 people shake hands with each other, how many total handshakes will there be?
Dmitriy789 [7]
Hello, you are solving formulas in this case, heres a good way of doing these problems: :)

We know that that 10 people shake hands, so each person shakes 9 hands. The first person shakes 9 hands, the second person shakes 8 hands, the third person shakes 7 hands, and so on. That would give you the answer, however in the case of bigger numbers, this technique is not the best, in fact the best is by doing the following. 

Each handshake consists of two people shaking hands. How many ways can <span>you choose those two people if there are 10 people in the group? You can choose any one of 10 people for the first person involved in the handshake; then for each of those 10 choices, you have 9 choices for the second person. So you have 10*9 = 90 ways of choosing the two people for the handshake. But wait a minute. Person A shaking hands with person B is the same as person B shaking hands with person A; this means that in counting the  90 handshakes you have actually counted each one twice, so the actual number of handshakes is half of 90, or 45.

I hope i helped, and your final answer is 45

Thank you,
Darian</span>
5 0
3 years ago
Harriet earns the same amount of money each day. Her gross pay at the end of 7 work days is 35h + 56 dollars. Which expression r
Aleks [24]

Answer:

<em>The expression that represents her gross pay each day will be:  (5h+8) dollars.</em>

Step-by-step explanation:

Suppose, Harriet's gross pay each day = x

So, her total gross pay for 7 work days =7*x= 7x

Given that, her gross pay at the end of 7 work days is (35h + 56) dollars.

So, the equation will be.......

7x= 35h+56 \\ \\ x=\frac{35h+56}{7}\\ \\ x=\frac{35h}{7}+\frac{56}{7}\\ \\ x=5h+8

Thus, the expression that represents her gross pay each day will be:  (5h+8) dollars.

8 0
3 years ago
Which of the following is equivalent to the expression 8/3 - 5/6 - 2/12
Vlad [161]

Given:

The expression is

\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}

To find:

The expression which is equivalent to the given expression.

Solution:

We have,

\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}

It can be written as

=\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{1}{6}

Taking LCM, we get

=\dfrac{16-5-1}{6}

=\dfrac{10}{6}

=\dfrac{5}{3}

The mixed fraction of this improper fraction is

=\dfrac{1\times 3+2}{3}

=1\dfrac{2}{3}

So, the expression 1\dfrac{2}{3} is equivalent to the given expression.

Therefore, the correct option is A.

8 0
4 years ago
A circle of radius 3.5cm falls entirely within another of
FrozenT [24]

Answer:

The area of the space is( 0.1155 m^2)

5 0
3 years ago
What symbol makes this comparison true? 200 mL O 2 L &lt;&gt;​
vova2212 [387]

Answer:

For the first case converting ml to L we got:

200mL *\frac{1L}{1000 mL}= 0.2 L

And we see that 0.2 L is lower than 2 L so then:

200 mL < 2L

And in the other way if we convert L to mL we got:

2L *\frac{1000mL}{1L} = 2000 mL

And we see that [/tex] 200mL < 2000 mL[/tex]

So then the answer would be <

Step-by-step explanation:

For this case we can solve this problem converting ml to L or converting L to ml.

For the first case converting ml to L we got:

200mL *\frac{1L}{1000 mL}= 0.2 L

And we see that 0.2 L is lower than 2 L so then:

200 mL < 2L

And in the other way if we convert L to mL we got:

2L *\frac{1000mL}{1L} = 2000 mL

And we see that [/tex] 200mL < 2000 mL[/tex]

So then the answer would be <

8 0
4 years ago
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