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postnew [5]
2 years ago
10

A carpenter purchased 50 ft of redwood and 70 ft of pine for a total cost of $280. A second purchase, at the same prices, includ

ed 100 ft of redwood and 60 ft of pine for a total cost of $440. Find the cost per foot of redwood and of pine.
Mathematics
1 answer:
iris [78.8K]2 years ago
4 0

The cost per foot of redwood and of pine is $3.5 and $1.5 respectively.

<h3>How to solve simultaneous equation?</h3>

let

  • cost of redwood = x
  • cost of pine = y

50x + 70y = 280

100x + 60y = 440

Multiply (1) by 2

100x + 140y = 560

100x + 60y = 440

subtract to eliminate x

80y = 120

y = 120/80

y = $1.5

substitute y = 1.5 into (1)

50x + 70y = 280

50x + 70(1.5) = 280

50x + 105 = 280

50x = 280 - 105

50x = 175

x = 175 / 50

x = $3.5

Learn more about equation:

brainly.com/question/2972832

#SPJ1

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does anyone know what 4/9 - 3/9 - 5/9 + 5 - 8 is simplified? if u do it would help me greatly. thank you.
AleksandrR [38]

Answer:

  -3 4/9

Step-by-step explanation:

The fractions all have the same denominator, so are easily added.

Of course, you know how to add signed integers.

  4/9 - 3/9 - 5/9 + 5 - 8

  = (4 -3 -5)/9 +(5 -8)

  = -4/9 -3

  = -(3 4/9)

7 0
3 years ago
The sum of three consecutive integers is 312
sdas [7]

Let x be for unknown number. Let x be first number . X+1 To be second number .x+2be third number.  X+(x+1)+(x+2)=312. Simplify to get 3x+3=312 . Subtract 3 from both sides 3x-3=312-3. Once you subtract get 3x=109.then divide 3 both sides . 3x/3=309/3. To get x= 103.   Now once you have that  First number 103. Second number 103+1=104 . And third number 103+2=105.    To check add them 103+104+105=312

8 0
3 years ago
Please help me on this!
Elena-2011 [213]
For when x is 4 g will be 80 and f will be 108 for when x is 5, g will be 160 and x will be 110 so option 1 as 160-110 is 50

Hope it helped
8 0
2 years ago
Indify 5(2x-3)=8x+3<br><br><br> .........
vivado [14]

Answer:

solution,

5(2x-3) = 8x +3

or, 10x -15 = 8x+3

or, 10x -8 x= 3+15

or, 2x = 18

or, x = 18/2

or, x = 9

.:. x = 9

6 0
3 years ago
The combination with repetition equation
dolphi86 [110]

Answer:

In general the formula is: P(n;n1,n2,...,nk) = n! n1! ... Any selection of r objects from A, where each object can be selected more than once, is called a combination of n objects taken r at a time with repetition.

Step-by-step explanation:

7 0
3 years ago
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