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vladimir1956 [14]
3 years ago
13

21. 12(x + 3) = 4(2x + 9) + 4x

Mathematics
2 answers:
Ann [662]3 years ago
6 0

Answer:

Step-by-step explanation:

12x+36 =8x+36+4x

12x+36= 12x+36

which means any value of x will work.

Sedaia [141]3 years ago
6 0

4(2x + 9) +4x = 21.12(x + 3)

Simplify left side

8x + 36 + 4x = 21.12( x + 3)

Add 8x and 4x

12x + 36 = 21.12(x + 3)

Simplify 21.12(x + 3)

12x + 36 = 21.12x + 63.36

Move all terms containing x to left side of the equation

-9.12x + 36 = 63.36

-9.12x = 27.36

Divide each terms by -9.12 and simplify

x = -3 final answer

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Sally bought some candy bars for $1.25 each and some sodas for $1.49 each. If she bought a total of 38 items and spent $50.38 ho
hammer [34]

Answer:

26 candy bars and 12 sodas

Step-by-step explanation:

This problem can be solved by a simple system of equations

I am going to call x the number of candy bars that Sally bought and y the number of sodas that Sally bought.

The fact that she bought 38 itens means the x + y = 38.

She spent $50.38. The value she spent is the sum of the number of candy bars multplied by the value of the candy bar and the number of sodas multiplied by value of a soda. So 1.25x + 1.49y = 50.38

So we have to solve the following system:

1)x + y = 38

2)1.25x + 1.49y = 50.38

From 1), we have that x = 38 - y. I am going to replace it in 2)

1.25(38-y) + 1.49y = 50.38

-1.25y + 1.49y = 50.38 - 47.5

0.24y = 2.88

y = 12.

Sally bought 12 sodas.

In 1: x = 38-y = 38-12 = 26

Sally bourght 26 candy bars

6 0
2 years ago
Read 2 more answers
The drama club collected $160 from ticket sales for the spring play. They need to collect at least $400 to pay for new lighting
valentina_108 [34]
We assume all money is spent on new lighting. Since they currently have $160 and need $400 we can subtract what they currently have from what they need.

$400-$160 = $240

Since we know the price of the ticket and now know they need $240 we can divide our $240 with the price of each ticket ($3)

$240/$3 = 80

So the drama club has to sell 80 more tickets in order to afford new lighting
6 0
2 years ago
Can someone help with this geometry question?
Alex787 [66]

since it's rhombus, then

6x-11=25-4x

10x=36

x=3.6

each side = 25-4(3.6)

= 25 - 14.4

= 10.6

3 0
3 years ago
Read 2 more answers
I need help please.
Mumz [18]

Answer:

the result is : 14x + 27

4 0
3 years ago
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JA manufacturer determines that the cost of making a computer component is ​$3.161616. Write the repeating decimal cost as a fra
Bad White [126]

Answer:

The repeating decimal cost

a) As a fraction = $\frac{3161616}{1000000}

b) As a mixed number = $ 3\frac{161616}{1000000}

Step-by-step explanation:

The cost of making a computer component

= $3.161616

= $ 3 + 0.161616

Looking at the repeating decimal it is in 6 decimal places, hence to convert it to a fraction,

0.161616/ 1000000 × 1000000

= 161616/1000000

Therefore, the cost of making  the  computer component =

$3 + $161616/1000000

Step 1

We convert to a fraction

$3 + $161616/1000000

We find the LCM = 1000000

($3 × 1000000)+ ($161616× 1)/1000000

3000000 + 161616/1000000

= $ (3161616/1000000)

As a Mixed number = 3\frac{161616}{1000000}

8 0
3 years ago
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