Answer:
1.
$.33
$3
2.
all the answers can be found when the rate is known which is
grapes are sold at $3 per pound
Step-by-step explanation:
$6 ÷ 2 pounds = $3 per 1 pound
this means 1 pound of grapes is $3
next row
1 ÷ 3 = $.33
3rd row
1 multiplied by 3 = $3
2.
all the answers can be found when the rate is known which is
grapes are sold at $3 per pound
Answer:
use logarithms
Step-by-step explanation:
Taking the logarithm of an expression with a variable in the exponent makes the exponent become a coefficient of the logarithm of the base.
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You will note that this approach works well enough for ...
a^(x+3) = b^(x-6) . . . . . . . . . . . variables in the exponents
(x+3)log(a) = (x-6)log(b) . . . . . a linear equation after taking logs
but doesn't do anything to help you solve ...
x +3 = b^(x -6)
There is no algebraic way to solve equations that are a mix of polynomial and exponential functions.
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Some functions have been defined to help in certain situations. For example, the "product log" function (or its inverse) can be used to solve a certain class of equations with variables in the exponent. However, these functions and their use are not normally studied in algebra courses.
In any event, I find a graphing calculator to be an extremely useful tool for solving exponential equations.
Answer:
Oil supply will run out in 44.283 years.
Step-by-step explanation:
There are 1.338 trillion barrels of oil in proven reserves.
If oil consumption is 82.78 million barrels per day then we have to calculate the number of years in which supply of oil runs out.
In this sum we will convert 1.338 million barrels of oil into million barrels first then apply unitary method to calculate the time in which oil supply runs out.
Since 1 trillion = 
million
Therefore, 1.338 trillion = 1.338× million
∵ 82.78 million barrels oil is the consumption of = 1 day
∴ 1 million barrels oil is the consumption of = 
day
∴ 1.338× barrels will be consumed in = 
days
= 16163.3245 days
≈ 
years
≈ 44.283 years
Therefore, oil supply will run out in 44.283 years
Let D be dogs and C be cats
<em>dogs, d, is initially five less than twice the number of cats, c</em>
D + 5 = 2C
<em>If she decides to add three more of each, the ratio of cats to dogs will be</em>
D + 8 = 2C + 3
<em>Could Bea's Pet Shop initially have 15 cats and 20 dogs?</em>
Simply plug in the numbers
20 + 5 = 2(15)
This is clearly not true: 25 does not equal 30
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The approximate area of the circle is A
