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tangare [24]
3 years ago
12

Tyler has some red blocks and some green blocks. The total weight of 2 red blocks and 6 green blocks is 23 ounces The total weig

ht of 3 red blocks and 4 green blocks is 22 ounces What is the total weight of 1 red block and 1 green block?
Mathematics
1 answer:
bearhunter [10]3 years ago
5 0

Answer: the total weight of 1 red block is 4 ounces and 1 green block is 2.5 ounces.

Step-by-step explanation:

Let x represent the total weight of 1 red block.

Let y represent the total weight of 1 green block.

The total weight of 2 red blocks and 6 green blocks is 23 ounces. This means that

2x + 6y = 23 - - - - - - - - - 1

The total weight of 3 red blocks and 4 green blocks is 22 ounces. This means that

3x + 4y = 22- - - - - - - - - - 2

Multiplying equation 1 by 3 and equation 2 by 2, it becomes

6x + 18y = 69

6x + 8y = 44

Subtracting, it becomes

10y = 25

y = 25/10 = 2.5

Substituting y = 2.5 into equation 1, it becomes

2x + 6 × 2.5 = 23

2x + 15 = 23

2x = 23 - 15 = 8

x = 8/2 = 4

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Answer: 8:9

Step-by-step explanation: Two find this answer, you need to see what will be the greatest number they can divide by (greatest common divider), it needs to be the same number for both 18 and 16. What number can go into both numbers, and is the greatest number? The answer is two, now you divide 2 by 18 and 16, so you'll get 8:9.

Hope this helps have a BLESSED and wonderful day! :-)

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3 years ago
Every whole number is a real number . <br> True or false
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Jim spent $46.16 on some mulch and one shovel. Each bag of mulch costs $3.49 and the shovel cost $14.75. How many bags of mulch
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To find the amount he spent on bags of mulch you must take the cost of the shovel away from the total, giving the equation:
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8 0
2 years ago
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X+y+z=1
andrezito [222]

Answer: x = 0

y = 2

z = -1

Step-by-step explanation:

The system of equations are

x+y+z=1 - - - - - - - - - - 1

-2x+4y+6z=2 - - - - - - - - - 2

-x+3y-5z=11 - - - - - - - - - 3

Step 1

We would eliminate x by adding equation 1 to equation 3. It becomes

4y -4z = 12 - - - - - - - - - 4

Step 2

We would multiply equation 1 by 2. It becomes

2x + 2y + 2z = 2 - - - - - - - - - 5

We would add equation 2 and equation 5. It becomes

6y + 8z = 4 - - - - - - - - - 6

Step 3

We would multiply equation 4 by 6 and equation 6 by 4. It becomes

24y - 24z = 72 - - - - - - - - 7

24y + 32z = 16 - - - - - - - - 8

We would subtract equation 8 from equation 7. It becomes

-56z = 56

z = -56/56 = -1

Substituting z = -1 into 7, it becomes

24y - 24×-1 = 72

24y + 24 = 72

24y = 72 - 24 = 48

y = 48/24 = 2

Substituting y = 2 and z = -1 into equation 1, it becomes

x + 2 - 1 = 1

x = 1 - 1 = 0

4 0
3 years ago
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