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mel-nik [20]
3 years ago
13

Victoria and Javier are collecting aluminum for a community service project. Victoria previously collected 56 pounds and is coll

ecting at a rate of 8 pounds per hour this weekend. Javier collected 16 pounds earlier and Is now collecting at a rate of 12 pounds per hour. How many hours must pass (x) before the two students have collected the same amount of aluminum (y)?​
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0

Answer:

  • 10 hours

Step-by-step explanation:

<u>Victoria collects:</u>

  • 8x + 56

<u>Javier collects:</u>

  • 12x + 16

<u>They get same amount:</u>

  • 8x + 56 = 12x + 16
  • 12x - 8x = 56 - 16
  • 4x = 40
  • x = 10

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Given the triangle that has a base of five less than triple the height. The height is 2x+6.
Deffense [45]

Answer:

<h3>          A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>

Step-by-step explanation:

H = 2x+6          - the hight

3H = 3(2x+6)      - triple the hight

3H-5 = 3(2x+6) - 5    -  five less than triple the height

Area of triangle:  A = 0.5BH

B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13

H = 2x+6

So:

    A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78

    A = 6x² + 49x + 78

5 0
3 years ago
Divide.<br> Write your answer in simplest form.<br> -6/7 divided by (-5/4) =?
yulyashka [42]

Answer:

\sf \dfrac{24}{35}

Step-by-step explanation:

Use KCF method for fraction division.

  • Keep the first fraction.
  • Change the division operation to multiplication.
  • Flip the second fraction.

\sf \dfrac{-6}{7} \div \dfrac{-5}{4}=\dfrac{-6}{7}*\dfrac{-4}{5}

               \sf =\dfrac{(-6)*(-4)}{7*5}\\\\=\dfrac{24}{35}

8 0
1 year ago
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Answer:

it would be 3 yards because it went 2° to the right

7 0
3 years ago
In the equation z/6 =
Nikitich [7]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

"Isolate the variable  using inverse operations."

»»————- ★ ————-««  

Here’s why:

To solve for a variable, we would have to isolate it on one side.

To isolate it, we would use inverse operations on both sides on the equation until the variable is isolated.

There are no like terms in the given equation.

⸻⸻⸻⸻

\boxed{\text{Solving for 'z'...}}\\\\\frac{z}{6} = 36\\-------------\\\rightarrow (\frac{z}{6})6 = (36)6\\\\\rightarrow  \boxed{z = 216}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

5 0
2 years ago
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X - - 3 = 10 <br><br> What is the value of x?
Pepsi [2]

Answer:

x = 7

Step-by-step explanation:

Rule: an even number of - signs written one after another produces a plus number.

So - - 3 = 3

The rule also lets you do something strange like

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Rule: an odd number of minus signs produces a minus number.

x + 3 = 10                 Subtract 3 from both sides.

x + 3 - 3 = 10 - 3      

x = 7

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3 years ago
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