3.2d - 4d = 2.3d + 3...simplify by combining like terms
-0.8d = 2.3d + 3....subtract 2.3d from both sides
-0.8d - 2.3d = 3 ...simplify again
-3.1d = 3...divide both sides by -3.1
d = 3/ -3.1
d = - 0.97
or
3.2d - 4d = 2.3d + 3....multiply the equation by 10, gets rid of the decimals
32d - 40d = 23d + 30....subtract 23d from both sides
32d - 40d - 23d = 30....simplify
-31d = 30...divide by -31
d = -30/31
d = - 0.97
Answer:
The expressions for the payment made to Mary are,
(Monday) 90 = 15m + b
(Tuesday) 62 = 8m + b
where m and b are the fee per student and the base fee, respectively. Solving for m and b, the values are 4 and 30.
The equation that represents Mary's earning is
y = 4x + 30
For 20 students,
y = 4(20) + 30 = 110
For Lisa's earnings,
y = 8x + 15
Substituting 20,
y =8(20) + 15 = 175
Thus, Lisa would earn more than Mary by $65.
(Btw this is not my work, I got it from someone else on brainly and wanted to help lol)
Hopefully this helped! I used the substitution method
Answer:
420 in³
Step-by-step explanation:
14 x 10 x 3 = 420
Answer:
93 m
Step-by-step explanation:
We solve this above question using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = Height of the tree = ?? = x
Adjacent = Distance from the base of the tree = 78m
θ = 50°
Hence:
tan 50 = x/78
Cross Multiply
x = tan 50 × 78
x = 92.956780222m
Approximately = 93 m
Therefore, the tree is 93 meters tall
