Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.
Step-by-step explanation:
Given,
Total hours worked by three of them = 285 hours
Let,
x represent the hours of Alexis.
y represent the hours of Becca.
z represent the hours of Cindy.
According to given statement;
x+y+z=285 Eqn 1
Alexis worked 15 hours less than Becca.
x = y-15 Eqn 2
z = 2y+4 Eqn 3
Putting value of x and z from Eqn 2 and 3 in Eqn 1
Dividing both sides by 4
Putting y=74 in Eqn 2
Putting y=74 in Eqn 3
Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.
Keywords: linear equation, division
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1 penny = 0.005 ft
total amt of pennies = 1264/0.005 = 252800 pennies
Answer:
27.5 minutes
Step-by-step explanation:
Using,
R/R' = 2ᵃ/ᵇ------------------ Equation 1
From the equation,
R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.
Given: R = 870 grams, R' = 154 grams, b = 11 minutes.
Substitute these values into equation 1
870/154 = 2ᵃ/¹¹
(870/154)¹¹ = 2ᵃ
Solve for a
2ᵃ = (5.649)¹¹
2ᵃ = 187061.26
Taking the logarithm of both side,
Log2ᵃ = Log(187061.26)
⇒ a = log(187061.26)/log2
a = 8.272/0.301
a = 27.5 minutes
Answer:
10% of 63 is 6.3 so 63+6.3=69.3
Step-by-step explanation:
<em>At x = -3 is located a hole. </em>
<h2>
Explanation:</h2>
In this problem, we have the following function:
A hole will lie at the x-values that makes the function undefined, that is, when the denominator is zero. In a mathematical language:
From this equation, we get two solutions:
At those x-values the function will have a hole. From the choices:
<em>At x = -3 is located a hole. </em>
<h2>Learn more:</h2>
Derivative: brainly.com/question/13419010
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