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Ostrovityanka [42]
3 years ago
5

When placed end to end, three red rods are 2 cm longer than than 2 blue rods. Three blue rods are 2 cm longer than four red rods

. How long is each rod?
Mathematics
1 answer:
Oxana [17]3 years ago
5 0

Answer:

Red = 10 cm, blue = 14 cm

Step-by-step explanation:

<em>Let the length of each red rod be </em><em>r </em><em>and each blue rod be </em><em>b</em>

<u>Then we have:</u>

  • 3r - 2b = 2
  • 3b - 4r = 2

<u>Multiply the first equation by 3 and the second one by 2:</u>

  • 9r - 6b = 6
  • 6b - 8r = 4

<u>Add the equations to eliminate one of variables:</u>

  • 9r - 8r = 6 + 4
  • r = 10 cm

<u>Find the value of b:</u>

  • 3*10 -2b = 2
  • 30 - 2 = 2b
  • 2b = 28
  • b = 14 cm

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alukav5142 [94]

Answer:

Answer is (x + 2)² - 7

Step-by-step explanation:

• We gonna achieve this through completing squares:

{ \tt{ {x}^{2}  + 4x - 3}}

• Find the square of the half of the sum.

  • sum is 4

{ \boxed{ \rm{square \: of \: sums \: half =  {( \frac{4}{2} )}^{2}  =  {2}^{2} = 4 }}}

• Add 4 to the sum and subtract it from the product.

  • product is -3

\hookrightarrow \: { \rm{ ({x}^{2}  + 4x + 4) + ( - 3 - 4)}} \\ { \rm{(x + 2) {}^{2}  - 7}}

• Answer is proven

{ \boxed{ \mathfrak{answer \dashrightarrow \: { \rm{ {(x + 2)}^{2} - 7 }}}}}

  • P is 2
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2 years ago
6. Myesha bought two and nine hundred five thousandths pounds of grapes at the store. How is this written in number form?
baherus [9]

Answer:

2.095

Step-by-step explanation:

ones. tenths hundredths thousandths

   2    .    0              9                   5

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3 years ago
Isaac is planting flowers for mother.He needs 2/3 of a cup of soil to go in each of the 8 pots that he has. How many cups of soi
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Select all of the following expressions that are equivalent to 16a+40 .
lina2011 [118]
The first one is true
<span>4(4a+10)  is 
</span>16 a + 40 after distribution

The second one is also true
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Third is not true
</span><span>4a(4+10a) 
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Last one is also true
</span><span>8(2a+5)
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Hope this helps :)</span>
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How many two thirds ounce can be made with 8ounces
stepan [7]
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