Answer:
Marcus has 494 cards.
Jorge has 988 cards.
Ren has 518 cards.
Step-by-step explanation:
Let x represent Marcus's cards.
M + J + R
(x) + (2x) + (x+24) = 2000
x + 2x + x + 24 = 2000
4x +24 =2000
4x = 1976
x = 494
The formula for the volume of a cone is
.. V = (1/3)*π*r^2*h
The radius (r) is half the diameter, so is 5 m. Fill in the numbers and do the arithmetic.
.. V = (1/3)*3.14*(5 m)^2*(6 m) = 157 m^3
The cost will be $25 for each of those cubic meters, so is
$25*157 = $3925.00.
A) w + 7 = L
B) w * L = 120
A) w = L -7 then substituting this into B)
(L-7) * L = 120
L² -7L = 120
L² -7L -120 = 0
Solving by quadratic Formula:
L1 = 15
L2 = -8
If length = 15, then width = 8
The equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is q⁶ - r⁶s³
<h3>How to factor the expression?</h3>
The expression is given as:
(q² − r²s) (q⁴ + q²r²s + r⁴s²)
Expand the expression
(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q²(q⁴ + q²r²s + r⁴s²) − r²s(q⁴ + q²r²s + r⁴s²)
Open the brackets
(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q⁶ + q⁴r²s + q²r⁴s² -q⁴r²s - q²r⁴s² - r⁶s³
Evaluate the like terms
(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q⁶ - r⁶s³
Hence, the equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is q⁶ - r⁶s³
Read more about expressions at:
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<h3>Complete question</h3>
Factor the expression. (q² − r²s) (q⁴ + q²r²s + r⁴s²)
Answer is 1/12
Two ways to work this.
1) divide each of the given portions into 20 parts and add the resulting fractions.
.. (1 2/3)/20 = 1/20 + (2/3)*(1/20)
.. = 1/20 + 1/30
.. = 3/60 + 2/60
.. = 5/60 = 1/12
2) convert 1 2/3 to an improper fraction and divide by 20.
.. (1 2/3)/20 = (5/3)*(1/20)
.. = (5*1)/(3*20)
.. = 5/60 = 1/12
