heureka

avatar
Benutzernameheureka
Punkte26396
Membership
Stats
Fragen 17
Antworten 5678

 #1
avatar+26396 
+10

Harvey’s expresso express, a drive through coffer stop, is famous for its great house coffee,

a blend of Colombian and mocha java beans.

Their archrival, JoJo’s java, sent a spy to steal their ratio for blending beans.

The spy returned with a torn part of an old receipt that showed only the total number of pounds and the total cost, 18 pounds for $92.07.

At first JoJo was angry, but then he realized that he knew the price per pound of each kind of coffee

($4.89 for Colombian and $5.43 for mocha java).

Show how he could use equations to figure out how many pounds of each type of beans Harvey’s used.

 

Let x = pounds of Colombian coffee
Let y = pounds of mocha jave coffee

 

x+y=18 pounds or x=18 poundsyx$4.891 pound+y$5.431 pound=$92.07

 

4.89x+5.43y=92.07|x=18y4.89(18y)+5.43y=92.074.89184.89y+5.43y=92.0788.02+0.54y=92.07|88.020.54y=92.0788.020.54y=4.05|:0.54y=4.050.54y=7.5 pounds x=18yx=187.5x=10.5 pounds 

 

Harvey’s used 10.5 pounds of Colombian coffee and 7.5 pounds of mocha jave coffee

 

laugh

02.11.2016
 #2
avatar+26396 
0

roots of equation x^3+3x^2+3x+3

 

x3+3x2+3x+3=0|x3+3x2+3x+1=(x+1)3(x+1)3+2=0(x+1)3=2x+1=32x=321(1)32=32(cos(π3)+isin(π3))|tanφ=02  φ=π32=32(12+i32)32=3212+i3232x1=321=32121+i3232x1=0.37003947505+i1.09112363597(2)32=32(cos(π3+23π)+isin(π3+23π))32=32(cos(π)+isin(π))32=32(1+i0)32=32x2=321=321x2=2.25992104989(3)32=32(cos(π3+223π)+isin(π3+223π))32=32(cos(53π)+isin(53π))32=32(12i32)32=3212i3232x3=321=32121i3232x3=0.37003947505i1.09112363597

 

 

laugh

31.10.2016
 #1
avatar+26396 
+5

John and Nat were given some money.
If John spends $50 and Nat spends $100 each day,
John would still have $2500 left while Nat would have spent all her money.
If John spends $100 and Nat spends $50 each day,
John would still have $1000 left while Nat would have spent all her money.

How much were John and Nat given each?

 

Let j = Johns money at start

Let n = Nats money at start

 

Let x = days until Nat spent all her money first run.

Let y = days until Nat spent all her money second run.

 

1. Run

jx50=2500j=2500+50xnx100=0n=100x

 

2. Run

jy100=1000j=1000+100yny50=0n=50y

 

We set equal:

n=50y=100xy=2x1000+100y=2500+50x|1000100y=1500+50x100(2x)=1500+50x200x=1500+50x|50x150x=1500|:150x=1500150x=10n=100xn=10010n=$1000j=2500+50x|x=10j=2500+5010j=2500+500j=3000j=$3000

 

John were given $3000 and Nat were given $1000

 

laugh

27.10.2016
 #1
avatar+26396 
0

If you fold up the sides the container holds exactly 1L. {nl} Whats the length of a?

 

 

 

B=a2hh2+(a2)2=a2h2=a2(a2)2h2=a2a24h2=34a2B=a2a23h=a23B=a243

 

sin(60)=a2r=32a2r=32ar=3ra=13r=a3

 

r2+h2=a2h2=a2r2h2=a2(a3)2h2=a2a23h2=23a2h=23a

 

V=13Bh|B=a243h=23aV=13(a243)(23a)V=13a242aV=212a3212a3=Va3=122Va3=122V22a3=1222Va3=62Va=362V|V=1l=1 dm3a=3621 dm3a=38.48528137424 dm3a=2.03964890266 dm

 

The length of a is 2.04 dm

 

laugh

27.10.2016