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Kamila [148]
3 years ago
14

Look at this equation 1/2(x+1)=2what is the four step process to find the solution to this equation

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0
Using the order of operations you'll have to apply PEMDAS (Parentheses Exponents Multiplication Division Addition Subtraction) and in that order.

1/2 (x+2) = 2

1. Since there is nothing to do with the parentheses and there are no exponents you will be starting with multiplication.
Multiply 1/2 by (x+1).
1 (x+1)/2 = 2:

x+1/2 = 2

2. Next you'll have to multiply the denominator of 2 by both sides canceling it out on the left.
2 (x+1)/2 = 2(2):

x+1 = 4

3. Lastly, subtract 1 from both sides canceling it out on the left.
x+1 -1 = 4 -1

x = 3.


Check:

1. Fill in the variable x with 3 and solve inside parentheses.
1/2(3+1) = 2:

1/2 (4) = 2

2. Multiply 4 by 1/2.
4(1/2) = 2
4/2 = 2:

2=2




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bryan has some 3 cent stamps and some 4 cent stamps. what is the least number of stamps he can combine so the value of the stamp
SashulF [63]

Answer:

The least number of stamps required is 9

Step-by-step explanation:

Let the number of 3 cent stamps be x and 4 cent stamps be y

We have

3x+4y=33

The minimum number is obtained when more  4 cent stamps are used

Here y cannot be greater than 8 since \frac{33}{4}

Substitute y=8

3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}

Not possible since x is not a fraction

Substitute y=7

3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}

Not possible since x is not a fraction

Substitute y=6

3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3

Possible

Hence minimum number of stamps is

=x+y\\\\=3+6\\\\=9

5 0
2 years ago
Find the graph of y=3/4-2
alisha [4.7K]

The graph of

... y = 3/4 - 2

is a horizontal line at y = -1.25.

The graph of

... y = (3/4)x - 2

is an upward-sloping line with a rise of 3 for every 4 units to the right. It intercepts the y-axis at y = -2.

3 0
3 years ago
A 90 oz. bottle of shampoo is sold for $18.95. What is the price per ounce
Veseljchak [2.6K]

This sets up as a very commonly  used proportion.

90 oz / 18.95 = 1 oz / x             Cross multiply

90 x = 18.95                              Divide by 90

x = 18.95 / 90

x = 0.21 dollars or 21 cents.

So each ounce of shampoo costs 0.21 dollars or 21 cents.

This is a very handy way to check best deals. Stores have trained us for years to believe that the more we buy of a brand, the better the price. It isn't always true. Sometimes buying the  smaller quantity is the better deal. There is only one way to be sure and that's to do a proportion like this one.

Try this is an example. The same company makes a smaller container of shampoo of 45 oz for 9.15. How much is 1 oz and which is the better deal? You should get 0.20333 dollars so this is marginally (just) the better deal.

4 0
3 years ago
7. Given the following information, calculate, in order, the amount credited and the outstanding balance.
svp [43]

Answer:

C. $824.74, $175.26

Step-by-step explanation:

1) Amount Credited

The formula to calculate the amount credited =

Amount paid ÷ ( 100% - Discount)

Discount is given in the question as 3/10

Where 3 = Discount rate

Amount paid = $800

Amount credited = 800/( 100% - 3%)

= 800/ 97%

= 800/ 0.97

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b) Outstanding balance = Invoice - Amount credited

Invoice = $1000

Amount credited = $824.74

Outstanding balance = $1000 - $824.74

= $175.26

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