Answer:
3C + 5 T = 550
C+T= 122
PUT IN 1 T= 122-C
3C + 5 (122-C)=550
3C -5C + 610=550
-2C= 550 - 610= -30
C= 15
T= 122-15 = 107
Step-by-step explanation:
Set up ratio problem
.2 oz butter / (1/15) lb jelly = x / 1 lb jelly
Then cross multiply the stuff opposite each other in the fractions... set it up as a multiplication problem
.2 × 1 = (1/15) × x
.2 = (1/15)x
Multiply both sides of equation by 15 to clear out the (1/15) fraction and get x
x = 3
Answer is x= -14 because you divide each term by -3 and then simplify
Four scarves and six hats is $52.00
<span>4s+6h=52 </span>
<span>two hats is $1.00 more than the cost of one scarf. </span>
<span>2h=1s+1 </span>
<span>2h=s+1 </span>
<span>s=2h-1 </span>
<span>substitute for s </span>
<span>4s+6h=52 </span>
<span>4(2h-1)+6h=52 </span>
<span>8h-4+6h=52 </span>
<span>14h=56 </span>
<span>h=4 </span>
<span>s=2h-1 </span>
<span>s=8-1 </span>
<span>s=7 </span>
<span>a scarf cost $7 </span>
<span>a hat cost $4</span>
Answer:
The volume of the hemisphere is 496741.6 m³
Step-by-step explanation:
The volume of an sphere is given by:
In which 
and r is the radius.
An hemisphere is half of an sphere, so it's volume is half the sphere's volume. So
In this question:
. So
The volume of the hemisphere is 496741.6 m³
