Thomas paid $4.25 for three apples and four oranges. Five apples and two oranges cost Casey $4.75. Let x represent the number of apples and y represent the number of oranges. Which system of equations represents this situation?

A
$~3x+4y=4.75~$
$~5x+2y=4.25~$
B
3x+4y=4.25

5x+2y=4.75

C
4x+3y=4.75

2x+5y=4.25
D
4x+3y=4.25

2x+5y=4.75

Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. surfaces: xsquared2plus+2yplus+2zequals=1212 yequals=33 point: left parenthesis 1 comma 3 comma five halves right parenthesis

Formulate the indicated conclusion in nontechnical terms. be sure to address the original claim. the foundation chair for a hospital claims that the mean number of filled overnight beds is over 523, and she is therefore justified starting a funding campaign to add a wing to the hospital. assuming that a hypothesis test has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.

Becca wants to mix fruit juice and soda to make a punch. she can buy fruit juice for $3 a gallon and soda for $4 a gallon. if she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?