Let's make a system of equations to solve for this:
n + q = 84
0.05n + 0.25q = 12.80
where n = nickels and q = quarters.
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Solve for n in the first equation by subtracting q from both sides.
n = 84 - q
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Plug n into the second equation.
0.05(84 - q) + 0.25q = 12.80
Distribute 0.05 inside the parentheses.
4.2 - 0.05q + 0.25q = 12.80
Combine like terms.
4.2 + 0.2q = 12.80
Subtract 4.2 from both sides.
0.2q = 8.6
Divide both sides by 0.2.
q = 43
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Plug 43 for q in the first equation.
n + (43) = 84
Subtract 43 from both sides.
n = 41
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There are 41 nickels and 43 quarters in the piggy bank. ✅
Answer:
Step-by-step explanation:
Formula for the volume of a sphere is V = (4/3) (π) r³
3V 4²
and so the cube of the radius, "r," is r³ = ------------- * -----
4 4²
Taking the cube root of both sides, we get
∛[3V / 4²] 3V
and so the radius, "r," is r = ------------------ = ∛ ( --------- ) = (1/4)*∛(3*v)
∛[4³] 4³
Then
r = (1/4)*∛(3*V), after substituting 500/(3π) for V, becomes:
r = (1/4)*∛[ 3*500/3π ] = (1/4)*∛[ 500/π ]
Answer:
A)310.18g/mol
B)84.9947g/mol
C)108.01 g/mol
d)159.7g /mole(Approx)
e)Coc12 g/mol
f) A1(OH)3 g/mol
g)83.9949 g/mol
h)197.9 g/mol
i)18.01529 g/mol
Step-by-step explanation:
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Answer:
42 yards 2 feet 11 inches
Step-by-step explanation:
Freya, uses 2 yards, 1 foot, 7 inches of twine to wrap each damaged carton.
She has to repair 17 cartons.
The amount of twine needed to wrap 17 cartons
= (2 yards 1 foot 7 inches) x 17
= 34 yards 17 feet 119 inches
Now let's convert the answer to larger units
1 yard = 36 inches
1 yard = 3 feet
Convert 119 inches to yards
119 inches = 3 yards 11 inches
17 feet = 5 yards 2 feet
Therefore, 34 yards 17 feet 119 inches = (34 + 3 + 5 ) yards 2 feet 11 inches
Answer = 42 yards 2 feet 11 inches
Thank you.
The prefix in the word "regroup" is "re" and it means "again". Separate the words like this (re)read to find the "prefix"
Just think when your teacher ask you to reread the book or the problem.It should come to mind as "Read again"
Good Luck!
