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zysi [14]
3 years ago
7

Simplify 3x - 4 - 5x = 6 + 4x + 2

Mathematics
2 answers:
qaws [65]3 years ago
7 0
The answer is x = -2
olga2289 [7]3 years ago
3 0

Answer:

x=(−2)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 4x from both sides.

Step 3: Add 4 to both sides.

Step 4: Divide both sides by -6.

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Find the length of the arc intercepted by central angle 0 = 250° in a circle with radius r =
andrew11 [14]

Answer:

6

Step-by-step explanation:

4 0
4 years ago
What is an equation that has an infinite number of solutions
Maurinko [17]
<span><span><span>2x </span>+ 7 </span>= <span><span>x + x </span>+ 7 is an example of an equation with an infinite number of solutions, meaning any number could be the answer.
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5 0
3 years ago
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a t
Olin [163]

Answer:

  • large: 18.5 kg
  • small: 15.75 kg

Step-by-step explanation:

Let b and s represent the weights of the big and small boxes, respectively. Then the two delivered weights can be summarized as ...

  5b +6s = 187

  3b +2s = 87

We can eliminate the "s" variable by subtracting the first equation from 3 times the second:

  3(3b +2s) -(5b +6s) = 3(87) -(187)

  4b = 74 . . . . . collect terms

  b = 18.5 . . . . . divide by 4

Using this value in the second equation, we find ...

  3(18.5) +2s = 87

  2s = 31.5 . . . . . . . . subtract 55.5

  s = 15.75 . . . . . . . . divide by 2

The large box weighs 18.5 kg; the small box weighs 15.75 kg.

5 0
3 years ago
Elise does not like sorbet, so she omits that ingredient and adds 5 percent of each of the other ingredients. How many cups of p
Arisa [49]

Answer:

20 cups of punch

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If Elise adds 5 percent of each of the other ingredients

then

the new percentages are

Ginger Ale=40%+5%=45%

Orange Juice=25%+5%=30%

Pineapple Juice=20%+5%=25%

Sorbet=0%

Find out how many cups of punch will she have if she uses 6 cups of orange juice, using proportion

Let

x ----> the total cups of punch

\frac{6}{30\%}=\frac{x}{100\%}\\\\x=6(100)/30\\\\x=20\ cups\ of\ punch

6 0
3 years ago
As you might know from reading the Harry Potter books, wizarding money comes in three denominations: bronze Knuts, silver Sickle
Nina [5.8K]

Answer:

Minimun amount = $95,48

Step-by-step explanation:

We need to buy the book that costs 12 galleons, 16 sickles, 25 knuts.

At the bank we need to exchange our dollars. We know that:

1 galleon = $7,35

And:

1 galleon = 17 sickles

1 sickle = 29 knuts

First we use a rule of three to convert everything to galleons:

1 galleon = 17 sickles ⇒ 1 sickle = 1/17 galleons

\frac{1 galleon}{x}=\frac{17 sickles}{1 sickle}

x=\frac{1}{17} sickles

1 sickle = 1/17 galleons = 29 knuts ⇒ 1 knut = 1/493

\frac{1/17 galleons}{x}=\frac{29 knuts}{1 knut}

x=\frac{1}{493} galleons

And now we need to convert every wizarding money to dollars by using our reference above:

1 galleon = $7,35

1 sickle = 1/17 galleons = $7,35 / 17 ≅ $0,4323

1 knut = 1/493 galleons = $7,35 / 493 ≅ $0,0149

Finally we calculate the cost of the book:

Galleons: 12 x $7,35 = $88,2

Sickles: 16 x $0,4323 = $6,91

Knuts: 25 x $0,0149 = $0,37

Cost of the book = $88,2 + $6,91 + $0,37 = $95,48

So this is the minimun amount of dollars you need to exchange to purchase the book.

8 0
3 years ago
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