Answer:
The cube root of 1000 is 10
Answer:
5.4 numbers of purple beads and 12.6 numbers of silver beads.
Step-by-step explanation:
Arlene makes a necklace using 14 purple beads for every 6 silver beads. So, she uses purple and silver beads in the ratio 14 : 6 = 7 : 3.
Now, the necklace contains 18 beads, then in the ratio 7 : 3, there will be numbers of purple beads and (18 - 5.4) = 12.6 numbers of silver beads. (Answer)
Answer:
(2,-4)
Step-by-step explanation:
The minimum value is the lowest point on the graph.
The weight of each small tables and chairs in the United States is 15lbs and 3.5lbs respectively.
<h3>Simultaneous equation</h3>
Let
- Weight of tables = x
- Weight of chairs = y
- Cost of 3 tables and 5 chairs is 62.5lbs
- Cost of 3 tables and 2 chairs is 52lbs
3x + 5y = 62.5
3x + 2y = 52
- Subtract the equation to eliminate x
5y - 2y = 62.5 - 52
3y = 10.5
y = 10.5/3
y = 3.5 lbs
Substitute y = 3.5 into
3x + 2y = 52
3x + 2(3.5) = 52
3x + 7 = 52
3x = 52 - 7
3x = 45
x = 45/3
x = 15 lbs
Therefore, the weight of each small tables and chairs in the United States is 15lbs and 3.5lbs respectively.
Learn more about simultaneous equation:
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Answer:
Step-by-step explanation:
C
l
2
+
2
K
B
r
→
2
K
C
l
+
B
r
2
Given:
300
g
of
C
l
2
300
g
of
K
B
r
(a) Mass of
C
l
2
= 300g
Molecular mass of
C
l
2
= 2(35.45) = 70.906 g
/
m
o
l
No.of moles of
C
l
2
=
m
a
s
s
/
m
o
l
a
r
m
a
s
s
=
300
/
70.906
=
4.23
moles
Mass of
K
B
r
=
300
g
Molar mass of
K
B
r
=
39
+
79.9
=
118.9
g
/
m
o
l
No.of moles of
K
B
r
=
300
/
118.9
=
2.52
moles
Now,
Consider the equation:
C
l
2
+
2
K
B
r
→
2
K
C
l
+
B
r
2
1
mole of
C
l
2
= 2 moles of
K
C
l
4.23
moles of
C
l
2
= 2x4.23=
8.46
moles
2
moles of
K
B
r
= 2 moles of
K
C
l
2.52
moles of
K
B
r
=
2.52
moles
Now convert moles to mass,
Mass of
K
C
l
produced by
C
l
2
=
8.46
×
70.906
=
599.8
g
Mass of
K
C
l
produced by potassium bromide =
2.52
×
74.5
=
187.74
g