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hoa [83]
3 years ago
12

Help me please- Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Mathematics
1 answer:
kramer3 years ago
4 0

<u>Answer:</u>

  • One booster pack is worth 9 cards and one premade deck is worth 37 cards.

<u>Step-by-step explanation:</u>

<u>We know that:</u>

  • 9x + 7y = 340 cards
  • 4x + y = 73 cards
  • y = Cost of premade decks (In cards)
  • x = Cost of booster packs (In cards)

<u>Work:</u>

  • 9x + 7y = 340 cards

        4x + y = 73 cards

  • 4(9x + 7y = 340 cards)

        9(4x + y = 73 cards)

  • 36x + 28y = 340 x 4 cards

        36x + 9y = 73 x 9 cards

  • 19y = 1360 - 657
  • 19y = 703
  • y = 703/19 = 37

<u>This means that 1 premade deck is worth 37 cards. Now, let's substitute the value of y into the first equation to find x.</u>

  • 9x + 7y = 340 cards
  • => 9x + 7(37) = 340 cards
  • => 9x + 259 = 340 cards
  • => 9x = 81 cards
  • => x = 9 cards

<u>Hence, one booster pack is worth 9 cards and one premade deck is worth 37 cards.</u>

Hoped this helped.

BrainiacUser1357

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Harrizon [31]

Answer:

To make this easier, first draw or imagine a vertical line at x=2

Find where the vertical line and the graph intersects.

Draw or imagine that point of intersection.

Now, draw or imagine a horizontal line that goes through the point of intersection.

That horizontal line tells us the the value of the function by passing through that mark that says "-2"

The function's value at x=2 is -2.

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Step-by-step explanation:

8 0
3 years ago
Which expression is equivalent to -6(3x-2/3)?
Evgesh-ka [11]
Hello!

-6(3x - 2/3)

Distribute the -6

-18x + 4

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Hope this helps!
6 0
3 years ago
A boat travels for 7 hours. if it travels 4 hours downstream and 3 hours upstream. ten t covers a distance of 116 km. but if it
nadya68 [22]
Speed = Distance / Time
Distance = Speed*Time

For this problem, we should bear in mind that current speed has an impact on the boat speed...

for upstream, the boat goes against the current, and so its speed is

U = V - C

where V is the speed of the boat
C is the current speed

for downstream, it will be:

D = V + C

Convert the problem into mathematical equations:

4D + 3U = 116
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4(V+C) + 3(V-C) = 116
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7V - C = 108

Solving the equations:

7V + C = 116
7V - C = 108

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5 0
4 years ago
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egoroff_w [7]

To factor a number out of an expression means to divide each term of the expression by that number.

So, if you want to factor a from the expression x+y+z, you'll write it as

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So, in your case, when you divide both terms by -5 you get

-10a \div (-5) = 2a,\quad -25\div (-5) = 5

So, the expression becomes

-10a-25 = -5(2a+5)

5 0
3 years ago
two angles are conplementary angles. One angle measures 59 the other measures (4n-1) what is the value of n​
natulia [17]

Answer:

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Step-by-step explanation:

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4n° = 32°

n = 32 ÷ 4 = 8

8 0
3 years ago
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