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katen-ka-za [31]
2 years ago
11

Simplify the expression 8 + (7 + x)

Mathematics
1 answer:
baherus [9]2 years ago
6 0

Answer:

15 + x

Step-by-step explanation:

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A drawer contains quarters and nickels. There are 200 total coins valuing $30.00. Think about a system of equations that can be
Margaret [11]

Answer:

100

Step-by-step explanation:

Let n and q represent the numbers of nickels and quarters, respectively. A suitable system of equations is ...

  n + q = 200 . . . . . . there are 200 coins in the drawer

  5n +25q = 3000 . . .their value is $30.00

For mixture problems like this, it is often a good idea to substitute for the variable representing the contributor of lower value. That is, we want to write an expression for n that we can use for substitution.

Using the first equation to solve for n, ...

  n = 200 - q

Substituting this into the second equation gives ...

  5(200 -q) +25q = 3000

  1000 +20q = 3000 . . . . . . simplify

  20q = 2000 . . . . . . . . . . . . subtract 1000

  q = 100 . . . . . . . . . . . . . . . . divide by 20

  n = 200 -q = 100 . . . . . . . . the number of nickels, as we want

_____

<em>Comment on the solution</em>

We solved for q, then had to do an extra step to find the value of n that the problem asks for. Had we written q = 200-n and used that for substitution, we would have ended with the equation -20n = -2000. This would give the answer for n directly (with no additional steps required).

Sometimes working with negative numbers is uncomfortable or results in errors, so we chose to use the solution method that would avoid negative numbers.

___

<em>Comment on the problem statement</em>

We are told about coins in a <u>drawer</u>, and we are asked about coins in a <u>jar</u>. There is not enough information to answer the question asked. We have had to assume that both refer to the same quantity of coins—an assumption that is not supported by anything in the problem statement.

8 0
3 years ago
Read 2 more answers
The factorial 4! is equal to _______.<br><br> This is about permutations btw.
bekas [8.4K]

Answer:

24

Step-by-step explanation:

factorial(4) = 4*3*2*1

factorial(4) = 24

8 0
3 years ago
Read 2 more answers
A dinner for two at the local seafood restaurant cost
Vlad [161]

Answer:

63.38

Step-by-step explanation:

(49.90)(20%)(6%)

20%= $9.98

49.90+9.98 =59.80

(59.80)(6%)

6%= $3.58

59.80+3.58=63.38

8 0
2 years ago
Stephanie bought 36.5 inches of lumber at Home Depot the lumber cost 2.10 per inch including the sales tax. Stephanie bought 36.
tamaranim1 [39]

Answer:76.65

Step-by-step explanation:

First, you write 36.5 times 2.10

Then, multiply them.

That equals 76.65

4 0
3 years ago
Styline menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50 each from Tommy Hilfiger. If the tot
Mice21 [21]

Styline menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50

short-sleeve shirts for $23

long-sleeve shirts for $28.50

Total cost = $9,862.50

Let x be the number of short - sleeve

and y be the number of long  - sleeve

Total shirts = 375

x + y = 375

23x + 28.50y = 9862.50

Now we solve for x  

x + y = 375 ( subtract x on both sides)

So y = 375 - x

Now plug in 375 -x for y in second equation

23x + 28.50y = 9862.50

23x + 28.50(375 - x ) = 9862.50

23x + 10687.5 - 28.50x = 9862.50

subtract 10687.5  from both sides

23x  - 28.50x = -825

-5.5x = -825 (divide -5.5 on both sides)

x = 150

So number of short-sleeve = 150

7 0
3 years ago
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