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tangare [24]
2 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]2 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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What is the value of the expression 2x² – 5x + 6 when<br> x = -2?
Svet_ta [14]

Answer:

24 is correct answer

Step-by-step explanation:

2 {x}^{2}  - 5x + 6 \\  = 2 {( - 2)}^{2}  - 5 \times ( - 2) + 6 \\  = 2 \times 4 + 10 + 6 \\  = 8 + 10 + 6  \\  = 24

hope it helped you:)

3 0
3 years ago
How do you solve 34.86 x 1.2?
Nezavi [6.7K]

Answer: 41.832

Step-by-step explanation:

I like to write decimals without decimals when multiplying. for this I would do  

3486 x 12 which equals 41832 then You would move the decimal up from 3 spaces from the 2 from 41832 which would put the decimal between the 1 and 8

3 0
3 years ago
Given the equation:
Alisiya [41]

Answer:

x = 1 and x = \frac{-4}{5}

Step-by-step explanation:

In this equation, a=5, b=-1, c=-4.

Plug these into the quadratic formula:

x = \frac{1+\sqrt{-1^{2}-(-4)(5)(-4) } }{2(5)}   and x = \frac{1-\sqrt{-1^{2}-(-4)(5)(-4) } }{2(5)}

Now, simplify the equations:

x = \frac{1+\sqrt{81} }{10} = \frac{1+9}{10} = \frac{10}{10} = 1

and

x = \frac{1-\sqrt{81} }{10} = \frac{1-9}{10} = \frac{-8}{10} = \frac{-4}{5}

5 0
3 years ago
The table shows y as a function of x. Suppose a point is added to this table. Which choice gives a point that preserves the func
ohaa [14]
The a Eder is b 2,-1
6 0
2 years ago
The quotient of 9.2 x 10 6 and 2.3 x 10 2 expressed in scientific notation is
Virty [35]
What we know:
quotient 9.2 x 10^6/ 2.3 x 10²
in quotients exponents are subtracted of they have the same base, for example 10^6 and 10² have the same base of 10

What we need to find: quotient 9.2 x 10^6/ 2.3 x 10²
9.2 x 10^6        
--------------  =    4 x 10^4    
 2.3 x 10²

Here in this problem I divided 9.2 by 2.3 and got 4, since the solution was simple and clean meaning no repeated decimals I went ahead and divided the 10^6 by 10^2 and got 10^4.


Another method would be to expand both numbers then divide and do scientific notation again.
Remember to change to normal notation you move the decimal to the right using the number of the exponent.

9.2 x 10^6= 9200000
2.3 x 10²= 230

920000/230=40000

40000= 4 x 10^4 scientific notation

Use the method that is best for you or just know you can use either method to check your work.

4 0
3 years ago
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