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3 years ago

The 5 positive integers a, a, a, b, and c have an average of a. What is the value of (b+c)/2?

Mathematics

1 answer:

makkiz [27]3 years ago

3 0

We are given that a+a+a+b+c=5a=a+a+a+a+a
subtract a+a+a from both sides, then
b+c=a+a
divide by two,
(b+c)/2=(a+a)/2=a

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A tap fills a 3/5 gallon tub in 1/6 hour. What is the hourly rate, in gallons/hour at which the tap fills the tub?

ololo11 [35]

Answer:

3 3/5 gallons per hour

Step-by-step explanation:

3/5 times 6 equals 18/5

18/5=3 3/5

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3 years ago

What is the value of x?

alexdok [17]

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3 years ago

A and Ly started sung money at the same time for Christmas gis erika started with $100 and added $35 a week. Uly saved $60 a wee

Anna [14]

Answer:

Step-by-step explanation:

Erika: y = 35x + 100

Ly: y = 60x + 25

60x + 25 = 35x + 100

25x + 25 = 100

25x = 75

x= 3 weeks

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Ly: 60(3) + 25 = 180 + 25 = $205

6 0

3 years ago

Stevic delivers newspapers. He has already earned $36 delivering the Sunday paper and $12 delivering the Saturday paper. He earn

Nastasia [14]

Stevic's total earnings after delivering 15 papers on Sunday is $180.

Stevic's total earnings after delivering 15 papers on Saturday is $60.

<h3>What is the total earning?</h3>

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. In order to determine the total earnings, multiply earning per newspaper delivered by total earnings.

Total earnings on Sunday= $12 x 15 = $180

Total earnings on Saturday = 4 x 15 = $60

To learn more about multiplication, please check: brainly.com/question/13814687

#SPJ1

6 0

2 years ago

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago