Answer: 120 grams.
Step-by-step explanation:
Let x be the amount of sugar syrup made by 5% sugar syrup using 6g sugar.
Also, 5% =0.05
Therefore, 5% sugar syrup =5% of x = 0.05x
According to the question, we have
Hence, 120 grams sugar syrup is made by 5% sugar syrup of 6g sugar.
Answer:
13) 2 g
14) 5,000 mL
15) 104,000 m
16) 160 mm
17) 5,600,000 mg
19) 0.25 km
Step-by-step explanation:
13. Convert 2,000 mg to g:
1 mg = 0.001 g
(2,000 mg * 0.001 g) / 1 mg = 2 g
14. Convert 5 L to mL:
1 L = 1000 mL
(5 L * 1000 mL) / 1 L = 5,000 mL
15. Convert 104 km to m:
1 km = 1000 m
(104 km * 1000 m) / 1 km = 104,000 m
16. Convert 16 cm to mm:
1 cm = 10 mm
(16 cm * 10 mm) / 1 cm = 160 mm
17. Convert 5.6 kg to mg:
1 kg = 1,000,000 mg
(5.6 kg * 1,000,000 mg) / 1 kg = 5,600,000 mg
19) Convert 250 m to km:
1 m = 0.001 km
(250 m * 0.001 km) / 1 m = 0.25 km
Start with expression 
1. Separate terms - with x leave in left side, without x write in right side:
2. Divide the last expression by a (
):
Answer: this statement is true when .
Step-by-step explanation:
56,000÷7=8000
56,000÷70=800
56,000÷700=80
56,000÷7000=8
X=pounds of coffee bean ($0.20 per pound)
y=pounds of coffee bean ($0.68 per pound )
We can suggest this system of equations:
x+y=120
(0.20x+0.68 y) / (x+y)=0.54 ⇒ (0.2x+0.68y)=0.54(x+y)
We can solve this system by substitution method.
x+y=120 ⇒ y=120-x
0.2x+0.68(120-x)=0.54[x+(120-x)]
0.2x+81.6-0.68x=0.54(120)
-0.48x+81.6=64.8
-0.48x=64.8-81.6
-0.48x=-16.8
x=-16.8/-0.48
x=35
y=120-x=120-35=85
Answer: the coffee mixture has 35 pounds of coffee beans sold to $0.2 a pound, and 85 pounds of coffee beans sold to $0.68 a pound, the solutions is reasonable because the price of a coffee mixture ($0.54 a pound) is greater than $0.2 and smaller than $0.68.
