option B) 3 pounds of beef is needed to make 6 times the recipe.
<u>Step-by-step explanation</u>:
<u>step 1 </u>:
Mitch used 14 pounds of beef = 34 liters of beef strogonoff
'x' pounds of beef = 1 liter of beef strogonoff
<u>step 2</u> :
Rate = No. of pounds / No. of liters
(14 pounds / 34 liters) = (x pounds / 1 liter)
x = 14/34
x = 0.412
1 liter of beef strogonoff = 0.412 pounds of beef
<u>step 3</u> :
To make 6 times the recipe = 6
0.412
= 2.5 pounds of beef ( approximately 3 pounds)
it's probably 679 whole tenths
Answer:
y = -18
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = 5x - 3
3x - 2y = 27
<u>Step 2: Rewrite systems</u>
- Define: 3x - 2y = 27
- Add 2y on both sides: 3x = 2y + 27
- Divide 3 on both sides: x = 2/3y + 9
<u>Step 3: Redefine</u>
y = 5x - 3
x = 2/3y + 9
<u>Step 4: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em>: y = 5(2/3y + 9) - 3
- Distribute 5: y = 10/3y + 45 - 3
- Combine like terms: y = 10/3y + 42
- Subtract 10/3y on both sides: -7/3y = 42
- Divide -7/3 on both sides: y = -18
Answer:
Step-by-step explanation:
1a) the y intercept, or 20
b) from 0 weeks to 1 week the difference is 10
c) its y=mx+b m is the slope(difference) and b is the y-int so y = 10x+20
2a) the y int, is the same as the x(number of games played) being zero, so here it is 25
2b) after 3 games it was a loss of 1.50 !!! IMPORTANT !! after THREE weeks, so its 1.5/3=0.5 amount on card per week
2c) (ref 1c) but with that same formula/equation - we get y=0.5x+25
Answer:
Neither
Step-by-step explanation:
We need to transform one of the equations into its slope-intercept form:
y + 2/5x = 8
Subtract 2/5x from both sides:
y = -2/5x + 8
y = -5/2x - 7
Graphing both lines, they do intersect at point (-7.14, 10.86), but they are not parallel, nor are they perpendicular from each other. By definition, perpendicular lines must appear to be perpendicular (that is, they intersect at a 90° angle).
Looking at the attached graph (where the purple line is y = -2/5x + 8), their lines do not form a 90° angle.
Therefore, the correct answer is neither.
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