A )
3 j + 5 p = 7.60
j + 2 p = 2.90
B )
j = 2.90 - 2 p
3 ( 2.90 - 2 p ) + 5 p = 7.60
8.70 - 6 p + 5 p = 7.60
p = $1.10
j = 2.90 - 2.20
j<span> = $0.70</span>
C )
The bill for 1 glass of orange juice and 1 pancake special would be:
0.70 + 1.10 = $1.80
Answer:
8
(
x − 7
) (
x + 4
)
Step-by-step explanation:
43x+2=64+455−766
Step 1: Simplify both sides of the equation.
43x+2=64+455−766
43x+2=64+455+−766
43x+2=(64+455+−766)(Combine Like Terms)
43x+2=−247
43x+2=−247
Step 2: Subtract 2 from both sides.
43x+2−2=−247−2
43x=−249
Step 3: Divide both sides by 43.
43x
/43 = −249
/43
x = −249
/43
Answer:
x = −249
/43
Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
16x + 14y = 8
-63x - 14y = 133
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: -47x = 141
- Divide -47 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: 16x + 14y = 8
- Substitute in <em>x</em>: 16(-3) + 14y = 8
- Evaluate multiplication: -48 + 14y = 8
- Add 48 on both sides: 14y = 56
- Divide 14 on both sides: y = 4
<u>Step 4: Graph Systems</u>
<em>Check the solution set.</em>
The ground, the building, and the ladder form a right triangle, in which
the leaning ladder is the hypotenuse.
For the angle between the ladder and the ground, the 4-ft along the ground
is the side adjacent to the angle, and the 7-ft ladder is the hypotenuse.
(adjacent side) / (hypotenuse) = cosine of the angle.
Cosine(a) = 4/7 = 0.57143... (rounded)
Angle 'a' = <em>55.15 degrees</em> (rounded)