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zheka24 [161]
2 years ago
9

a 5-gallon mixture contains 40% acid. A 3-gallon mixture contains 50% acid. what percent acid is obtained by putting the two mix

tures together? show your work.
Mathematics
1 answer:
natta225 [31]2 years ago
8 0

so the 5 gallons ones is 40% acid, how much acid solute is in it anyway? well just 40% of 5 or namely 0.4*5 = 2 gallons.

the 3 gallons one is 50%, likewise it has 0.50 * 3 = 1.5 gallons of acid solute in it.

\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{amount}\\ \cline{2-4}&\\ \textit{1st mixture}&5&0.4&\stackrel{(5)(0.4)}{2}\\ \textit{2nd mixture}&3&0.5&\stackrel{(3)(0.5)}{1.5}\\ \cline{2-4}&\\ mixed&8&p&3.5 \end{array} \\\\\\ 8p=3.5\implies p=\cfrac{3.5}{8}\implies p=0.4375\implies p=\stackrel{\%}{43.75}

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5 months

Step-by-step explanation:

Let the number of months be "x"

Lets find equation for both Harry's and Fiona's scheme.

<u>Harry:</u>

80 fixed cost

19 per month

So that would be 80 + 19x

<u>Fiona:</u>

no fixed cost, only 35 per month

So that would be 35x

Now we equate both since we want cost to be same and find x, number of months at which this will occurs. Shown below:

80+19x=35x\\80=35x-19x\\80=16x\\x=\frac{80}{16}\\x=5

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4 years ago
Find the sum of the series:
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It diverges

Step-by-step explanation:

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2 years ago
Let f(x) = x^2 − 5. Find f(-3)
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Answer:

f(-3)=4

Step-by-step explanation:

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5 0
2 years ago
Read 2 more answers
9. Calcule el valor de la fuerza que experimenta un ascensor cuando levanta 150 kg en los siguientes casos: a) Cuando asciende c
GenaCL600 [577]

Answer:

a) La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) Por la fuerza de tensión sobre el cable del ascensor.

Step-by-step explanation:

a) La fuerza neta experimentada por el ascensor (F), en newtons, es:

F = m\cdot a (1)

Donde:

m - Masa, en kilogramos.

a - Aceleración, en metros por segundo cuadrado.

Si sabemos que m = 150\,kg y a = 4\,\frac{m}{s^{2}}, entonces la fuerza neta del ascensor es:

F = m\cdot a

F = 600\,N

La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) Si sabemos que m = 150\,kg y a = -6\,\frac{m}{s^{2}}, entonces la fuerza neta del ascensor es:

F = m\cdot a

F = -900\,N

La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) De manera simplificada, el ascensor experimenta dos fuerzas que definen la fuerza y aceleración netas: (i) La fuerza de tensión sobre el cable que traslada el ascensor y el peso total del ascensor, opuesta a la anterior y en función de la aceleración gravitacional. Puesto que la masa no varía en ningún caso, se concluye que el peso es constante, entonces la diferencia de valores se debe a la fuerza por tensión del cable. En el descenso, es fuerza es menor que en el ascenso.

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3 years ago
Shyniyah has $15. For every hour she works, she will earn $8 more. How many hours will she have to work to earn at least $200? G
Dimas [21]

just multiply 8 until you make it to 200 or the closest around 200


8 x 25 = 200

3 0
4 years ago
Read 2 more answers
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