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Montano1993 [528]
3 years ago
6

Two oranges and five lemons cost $2.75. Two oranges and nine lemons cost $4.15. PART A) Write a system of equations and solve it

using the elimination technique. PART B) Using your solutions from part A, how much would five oranges and three lemons cost?
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0
A) 2o+5l=2.75
-2o-9l = -4.15
———————-
-4l=-1.4
l= 0.35

2o+5(0.35)=2.75
2o+ 1.75= 2.75
2o=1
O= 1/2

B) 5(0.5) + 3(0.35) = 2.5+1.05= 3.55
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A rectangular prism has a volume of 50 cubic meters . what could its dimensions be
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The dimensions of the rectangular prism could be 3. 68 each for the length, width and height.

<h3>How to determine the dimensions</h3>

The formula for determining the volume of a rectangular prism is expressed as;

Volume = length × width × height

From the information given, we have that the volume is 50 cubic meters

Let's assume that the three dimensions are x³

50 = x³

Make 'x' the subject by finding the cube root of both sides

∛x³ = ∛50

Remember that cube root cancels the cube, we then have;

x = ∛50

x = 3. 68 meters

Thus, the dimensions of the rectangular prism could be 3. 68 each for the length, width and height.

Learn more about a rectangular prism here:

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victus00 [196]

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Step-by-step explanation:


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Solve the system of equations. Show your work.<br> y = x^2 -3x +4 <br> x + y = 4
sesenic [268]

Answer:

x + y = 2 ,  y = x 2 − 4 x + 4

Replace all occurrences of  

y

with  x 2 − 4 x + 4

in each equation.

x 2 − 3 x + 4 = 2 y = x 2 − 4 x + 4

Solve for  

x

in the first equation.

x = 2 , 1 y = x 2 − 4 x+ 4

Replace all occurrences of  

x  with  2

in each equation.

y=0 x = 2

Replace all occurrences of  x

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y = 1 x = 1

The solution to the system is the complete set of ordered pairs that are valid solutions.

( 2 , 0 ) ( 1 , 1 )

The result can be shown in multiple forms.

Point Form:

( 2 , 0 ) , ( 1 , 1 )

Equation Form:

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Step-by-step explanation:

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