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Bess [88]
4 years ago
12

Find the difference 7 7/8 - 3 1/4

Mathematics
1 answer:
nignag [31]4 years ago
4 0
7 7/8 - 3 1/4
Change to improper fraction
63/8 - 13/4
You need to find a common denominator
63/8 - 26/8=
37/8 or 4 5/8
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A bag contains 10 blue, 6 green, and 4 red marbles. You choose one marble. Without putting it back, you choose a second marble.
gizmo_the_mogwai [7]

Answer:

\frac{3}{19}

Step-by-step explanation:

Given :

A bag contains 10 blue, 6 green, and 4 red marbles.

You choose one marble. Without putting it back, you choose a second marble.

To Find: What is the probability that you first choose a green marble and then a blue marble?

Solution:

No. of blue balls = 10

No. of green balls =6

No. of red marbles =4

Total no. of marbles = 10+6+4 =20

Since we are given that first he choose a green marble

So, probability of getting green marble :

\frac{\text{No. of green marbles}}{\text{total no. of marbles}}

= \frac{6}{20}

Since he choose second marble without replacement

So, after choosing first ball . The total no. of balls will be 19

So, Probability of getting blue marble in second draw :

\frac{\text{No. of blue marbles}}{\text{total no. of marbles}}

= \frac{10}{19}

The probability that you first choose a green marble and then a blue marble:

=\frac{6}{20}*\frac{10}{19}

=\frac{3}{19}

Hence the probability that you first choose a green marble and then a blue marble is  \frac{3}{19}

8 0
4 years ago
Read 2 more answers
-7+1/3n-4/3+2n simplify​
7nadin3 [17]
7n - 25/ 3
I hope that helps.
6 0
3 years ago
Marcella Heinz purchased office supplies at Office Emporium for $107.64. She then purchased an English-Spanish dictionary for $1
Sliva [168]

The total amount of tax on her purchases to the nearest cent will be $9.97

<em><u>Explanation</u></em>

Marcella Heinz purchased office supplies for $107.64 and then she purchased an English-Spanish dictionary for $16.95

So, the total amount of her purchases =\$107.64+\$16.95=\$ 124.59

On the total amount of the purchases, she paid state sales tax of 7.5% and the county tax of 0.5%

So, the <u>amount of the state sales tax</u> =\$124.59*7.5\%= \$124.59*0.075=\$9.34425

and the <u>amount of county tax</u> =\$124.59*0.5\% =\$124.59*0.005 = \$0.62295

Thus, the total amount of tax on her purchases =\$9.34425+\$0.62295= \$9.9672 \approx 9.97  <em>(Rounded to the nearest cent)</em>

8 0
4 years ago
A student factors a6 - 64 to (a2 - 4)(a4 + 4a2 + 16).Which statement about (a2 − 4)(a4 + 4a2 + 16) is correct?
IrinaK [193]

Answer:

Option (b) is correct.

The expression is equivalent, but the   term is not completely factored.

Step-by-step explanation:

Given :  a student factors  to

We have to choose the correct statement  about   from the given options.

Given   is factored to

Consider    

Using algebraic identity,

comparing  and b = 4, we have,

Thus, the factorization is equivalent but we can simplify it further also, as

Using algebraic identity,

Thus,

Can be written as

Thus, the expression is equivalent, but the   term is not completely factored.

Option (b) is correct.

4 0
2 years ago
Patrick payed $4.00 for 5 organic peaches. How much did he pay per peach?
RideAnS [48]

Answer: 80 cents per organic peach

Step-by-step explanation: To find out how much Patrick paid for 5 organic peaches, we want to find the unit price for 1 peach.

Unit price means the cost per unit. In this case, the cost per peach. Since we know that it costs $4.00 for 5 peaches, to find the cost for 1 peach, we need to divide 5 into $4.00 or 5 into 4.00.

Now using long division, 5 divides into 40 eight times so we put an 8 above the second 0 and 8 x 5 is 40 and 40 - 40 is 0.

So 5 divides into 4.00 0.8 times which means that each peach costs 80 cents.

So the unit price is 80 cents per organic peach.

6 0
3 years ago
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