Answer:
Nevaeh will have 1224.33 and Paisley will have 1275
Answer:
So Sara can fill 24 pint bottles completly with 3 gallons of juice.
Step-by-step explanation:
This question can be solved using a rule of three.
Each pint has 0.125 gallons. How many pints are 3 gallons?
1 pint - 0.125 gallons
x pints - 3 gallons
So Sara can fill 24 pint bottles completly with 3 gallons of juice.
The answer is: 3.91 inches .
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Note: Volume of cylinder: V = (base area) * (height);
in which: V = volume = 384 in.³ ;
h = height = 8 in. ;
Base area = area of the base (that is; "circle") = π r² ;
in which; "r" = radius;
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Solve for "r" :
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V = π r² * (8 in.) ;
384 in.³ = (8 in.) * (π r²) ;
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Divide EACH SIDE of the equation by "8" ;
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(384 in.³) / 8 = [ (8 in.) * (π r²) in.] / 8 ;
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to get:
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48 in.³ = (π r²) in.² * in. ;
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↔ (π r²) in.² * in. = 48 in.³ ;
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Rewrite this equation; using "3.14" as an approximation for: π ;
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(3.14 * r²) in.² * in. = 48 in.³
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Divide EACH SIDE of the equation by:
"[(3.14)*(in.²)*(in.)]" ; to isolate "r² " on one side of the equation;
(since we want to solve for "r") ;
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→ [(3.14 * r²) in.² * in.] / [(3.14)*(in.²)*(in.)] = 48 in.³ / [(3.14)*(in.²)*(in.)] ;
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→ to get: r² = 48/3.14 ;
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→ r² = 15.2866242038216561 ;
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To solve for "r" (the radius; take the "positive square root" of EACH side of the equation:
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→ +√(r²) = +√(15.2866242038216561)
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→ r = 3.9098112747064475286 ; round to 3.91 inches .
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Answer:
4. answer is -48xy
5. answer is 1
Step-by-step explanation:
4. -3/4*-8y*4/3*6x*-1
=6y*4/3*6x*-1
=8x*6x*-1
-48xy
5.
-13.6/x=-13.6/1
If the numerators are the same, the denominators have to too.
Step-by-step explanation:
the correct answer is :
C. y ≥ 2x-1
y ≤ ⅓x + 1
