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scoundrel [369]
3 years ago
6

Maya is solving the equation 2(1+7x)=72. She lists an explanation for each step as shown. Which is the missing explanation for M

aya's first step after writing the given equation?
Mathematics
1 answer:
Alborosie3 years ago
4 0

Answer:

x = 5

Step-by-step explanation:

The given equation is :

2(1+7x)=72

Use the distributive property to the LHS.

2(1)+2(7x) = 72

2+14x = 72

Subtract 2 from both sides.

2+14x-2 = 72-2

14x = 70

x = 70/14

x = 5

So, the answer of the given equation is x = 5.

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Complete the following statements.
stiv31 [10]

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

  • Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

  • Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525  gallons of liquid.

2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

  • Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

  • Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

6 0
2 years ago
A group of 55 friends meets for lunch. They greet each other by exchanging fist bumps. How many fist bumps are exchanged if each
ANTONII [103]
55 * 54 = 2,970, hope this helps.
7 0
3 years ago
Read 2 more answers
Help plz:)))I’ll mark u Brainliest
zaharov [31]

Answer:

x = 13.4

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

x² + 6.8² = 14.1²

x² = 14.1² - 6.8²

x² = 152.57

Take the square root of both sides

x = 12.3519229272

Rounded

x = 13.4

7 0
2 years ago
Write the perimeter of the triangle as a simplified expression
ioda

Answer: 10y + 1

Step-by-step explanation:

The perimeter is the total distance round the figure.

Now, in this case it is going to be

Perimeter = 3y + 5 + 6y + y - 4

= 3y + 6y + y + 5 - 4

= 10y + 1

3 0
3 years ago
Show me a order line 3/10,0.5 ,1/5 greater to the least
Svetradugi [14.3K]
1/5 , 3/10 , 0.5
This will help
5 0
3 years ago
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