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NeX [460]
3 years ago
9

Solve each of the following problems. Show all steps or your work clearly.

Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0

Answer:

a) 24

b) -21.

Step-by-step explanation:

For question a), we first solve whatever is in the parenthesis, because of PEMDAS.

Our original equation was:

4 (6 + (-3)) + 3 (4)

We get rid of the parenthesis first. 6 + (-3) = 6 - 3 = 3, so we have:

4 (3) + 3 (4)

We can multiply, and then add.

12 + 12 = 24.

For question b), we once again start off with getting rid of the parenthesis. However, within the parenthesis, we still have to follow PEMDAS, meaning that we have to do the multiplication first and the subtraction after.

Thus we have:

-2 (6) + 3(-3)

We can multiply things out and then add.

-12 + -9

= -1 (12 + 9)

= -1 (21)

= -21.

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Answer: m=-5/3

Step-by-step explanation:

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3 years ago
Your school is selling granola bars for a fundraiser. They purchased 1250 granola bars and paid a delivery fee of $25. The total
MariettaO [177]
Hello!

First we have to define a variable.

Let x stand for the price of a granola bar

Then we have to make our equation

1250x + 25 = 800

This is the equation because the price for all the granola bars and delivery was $800

Now we solve it

Subtract 25 from both sides

1250x = 775

divide 1250 from both sides

x = 0.62

The cost for a granola bar is $0.62 or 62 cents

Hope this helps!
7 0
4 years ago
How many even k-digit numbers can be constructed out of the digits 3, 4, 5, 6, and 7?
nordsb [41]

Answer:

A. 1562 numbers , B. 130 numbers

Step-by-step explanation:

<u>A)</u> Using same digit again

1 digit nos = 2 ( ie 4 , 6 )

2 digit nos = 5  (ie any no) x 2 ( ie 4 ,6 )

Similarly

3 digit nos = 5 x 5 x 2

4 digit nos = 5 x 5 x 5 x 2

5 digit nos = 5 x 5 x 5 x 5 x 2

Adding all 5 equations

Total = 2 + 10 + 50 + 250 + 1250  = 1562

<u>B)</u> Cant use a digit more than once

1 digit nos = 2 ( ie 4 , 6 )

2 digit nos = 4 ( ie any no other than 4 or 6) x 2  ( ie 4 , 6 )

Similarly

3 digit nos = 4 x 3 x 2

4 digit nos = 4 x 3 x 2 x 2

5 digit nos = 4 x 3 x 2 x 1 x 2

Adding all five equations

Total = 2 + 8 + 24 + 48 + 48 = 130

6 0
3 years ago
In the jone school library,10/20 of the computers have scanners.in simplest form, which fraction of the computers have scanners?
n200080 [17]

Answer:

1/2

Step-by-step explanation:

5 0
3 years ago
The sum of squares of two consecutive positive even integers is 52 more than their product. Find these numbers.
natulia [17]

Answer:

The first set of consecutive even integers equals (8 , 6)

The second set is ( - 8 and - 6) which also works.

Step-by-step explanation:

Equation

(x)^2 + (x + 2)^2 = (x)(x + 2) + 52            Remove the brackets on both sides

Solution

x^2 + x^2 + 4x + 4 = x^2 + 2x + 52        Collect the like terms on the left

2x^2+ 4x+ 4 = x^2 + 2x + 52                  Subtract right side from left

2x^2 - x^2 + 4x - 2x + 4 - 52  =  0          Collect the like terms

x^2 + 2x - 48 = 0                                     Factor

(x + 8)(x - 6) = 0

Answer

Try the one you know works.

x - 6 = 0

x = 6

Therefore the two integers are 6 and 8

6^2 + 8^2 = 100

6*8 + 52  = 100

So 6 and 8 is one set of  consecutive even numbers that works.    

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

What about the other set.

x + 8 = 0

x = - 8

x and x + 2

- 8  and -8 + 2 = - 8, - 6

(- 8 )^2 + (- 6)^2 = 100

(-8)(-6) + 52 = 100

Both sets of consecutive numbers work.


5 0
3 years ago
Read 2 more answers
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