Answer:
20
Step-by-step explanation:
Volume of rectangular prism = length × width × height
Length = 8 inches
Width = 5 inches
Height = 2 inches
Volume of rectanglular prism = length × width × height
= 8 inches * 5 inches * 2 inches
= 80 inches ³
Dimensions of another rectangular prism:
Length = 16 inches
Width = 10 inches
Height = 10 inches
Volume of rectangular prism B = length × width × height
= 16 inches * 10 inches * 10 inches
= 1,600 inches ³
Number of prism A that fits into prism B = Volume of prism B ÷ volume of prism A
= 1,600 inches ³ ÷ 80 inches ³
= 20
Number of prism A that fits into prism B = 20
Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
Answer:
11
Step-by-step explanation:
cross multiply - 2(2x-4) = 3(x=1)
4x - 8 = 3x + 3
4x - 3x = 3 + 8
x = 11
Answer:
$316.46
Step-by-step explanation:
total cost = 109.5% = 109.5% x $289 = $316.46 (2dp)
Topic: Percentages
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I am not sure, but I think you are talking about the least square method
