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Evgesh-ka [11]
2 years ago
6

Solve the formula 27a + 1/3 * b = 4 for a.

Mathematics
2 answers:
Aneli [31]2 years ago
4 0

Answer:

a = 4/27 - b/81

Step-by-step explanation:

27a + 1/3 * b = 4

Subtract the term with b from both sides.

27a = 4 - 1/3 *b

Divide both sides by 27.

a = 4/27 - 1/81 * b

a = 4/27 - b/81

Afina-wow [57]2 years ago
4 0

Answer:

\large\boxed{a=\dfrac{12-b}{81}}

Step-by-step explanation:

27a+\dfrac{1}{3}b=4\qquad\text{multiply both sides by 3}\\\\(3)(27a)+3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\!\!\diagup_1}b=(3)(4)\\\\81a+b=12\qquad\text{subtract}\ b\ \text{from both sides}\\\\81a=12-b\qquad\text{divide both sides b 81}\\\\a=\dfrac{12-b}{81}

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MrMuchimi

Answer:

Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
Inessa ran 3 laps in 8 minutes. How long would it take her to run 10 laps at this pace? (This is proportions)
Degger [83]

Answer:

26.6 minutes

Step-by-step explanation:

Set up a proportion

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cross multiply

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5 0
3 years ago
Five less than a number Y is under 20
vodomira [7]

Answer:

Y - 5 < 20

Step-by-step explanation:

5 less than Y translates to:

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7 0
2 years ago
Read 2 more answers
Prove the divisibility:<br><br>45^45·15^15 by 75^30
garri49 [273]

Answer:

3^{75}.

Step-by-step explanation:

We have been an division problem: \frac{45^{45}*15^{15}}{75^{30}}.

We will simplify our division problem using rules of exponents.

Using product rule of exponents (a*b)^n=a^n*b^n we can write:

45^{45}=(9*5)^{45}=9^{45}*5^{45}

15^{15}=(3*5)^{15}=3^{15}*5^{15}

75^{30}=(15*5)^{30}=15^{30}*5^{30}

Substituting these values in our division problem we will get,

\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}

Using power rule of exponents a^n*a^m=a^{n+m} we will get,

\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}

\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}

Using product rule of exponents (a*b)^n=a^n*b^n we will get,

\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}

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Using power rule of exponents a^n*a^m=a^{n+m} we will get,

\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}

\frac{3^{105}*5^{60}}{3^{30}*5^{60}}

\frac{3^{105}}{3^{30}}

Using quotient rule of exponent \frac{a^m}{a^n}=a^{m-n} we will get,

\frac{3^{105}}{3^{30}}=3^{105-30}

3^{105-30}=3^{75}

Therefore, our resulting quotient will be 3^{75}.

7 0
3 years ago
Afan pays $875 for 3 premium seat tickets. Another fan pays $2125 for 8 premium seat tickets. Write a linear model for the cost
grandymaker [24]

The equation is : C=250t +125 where C is the cost and t represent the number of tickets purchased.

Step-by-step explanation:

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Fan 2, (8,2125)

Plot the ordered pairs as coordinates on a graph tool, find the slope of the linear graph and equation in slope intercept form as;

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m=250

Equation of the graph,

Δy/Δx=250

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y-875=250x-750

y=250x-750+875

y=250x+125

C=250t +125 where C is the cost and t represent the number of tickets purchased

Learn More

Slope-intercept form equation: brainly.com/question/11016508

Keyword : slope-intercept form,cost

#LearnwithBrainly

7 0
3 years ago
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