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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

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My name is Ann [436]
x\in\{-3;-2.2;-2;0;1.5;3;4\}\\\\-3\leq x\leq4

x = -3 → -3 = -3 and -3 < 4 therefore -3 ≤ -3 ≤ 4
x = -2.2 → -3 < -2.2 and -2.2 < 4 therefore -3 ≤ -2.2 ≤ 4
x = -2 → -3 < -2 and -2 < 4 therefore -3 ≤ -2 ≤ 4
x = 0 → -3 < 0 and 0 < 4 therefore -3 ≤ 0 ≤ 4
x = 1.5 → -3 < 1.5 and 1.5 < 4 therefore -3 ≤ 1.5 ≤ 4
x = 3 → -3 < 3 and 3 < 4 th≤erefore -3 ≤ 3 ≤ 4
x = 4 → -3 < 4 and 4 = 4 therefore -3 ≤ 4 ≤ 4


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3 years ago
Which type of transformation preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd functi
Alexus [3.1K]

The type of transformation that preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x) is vertical translation.

<h3>What is vertical translation?</h3>

Vertical translation of a graph is done by moving the base graph up or down in the y-axis direction. Each point on a graph is moved k units vertically to translate the graph by that many units.

The vertical translation is the movement of the curve along the y-axis by a certain number of units without altering the function's shape or domain.

The function's form is preserved in the case of vertical translation.

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7 0
1 year ago
What is the solution -10 = 2a - 4
Simora [160]

Add 4 to both sides

-10 + 4 = 2a

Simplify -10 + 4 to -6

-6 = 2a

Divide both sides by 2

-6/2 = a

Simplify 6/2 to 3

-3 = a

Switch sides

<u>a = -3</u>

6 0
3 years ago
Read 2 more answers
A ladybugs length measures 2cm express this measurement in meters explain your thinking include an equation with an exponent in
Ksivusya [100]
All we really need to do here is to convert 2 cm to meters.  There are 100 cm in 1 meter, so the appropriate cm to meters conversion factor is 

1 meter
-----------
100 cm

Thus, 

2 cm       1 m
-------- * ----------- = (1/50) m = 0.02 m      or  2.0*10^(-2) m     (answer)
    1        100 cm
7 0
2 years ago
Will give brainliest for the correct answer!!
faust18 [17]
6m+6n=-30
6m-5n=14
11n=-44
n=-4
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Ordered pair is (-1,-4)

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3 years ago
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