Answer:
Joyce has total 62 colored beads.
Step-by-step explanation:
For making groups of 9, let the number of beads be x.
total beads = 9x + 8
For making groups of 8, let the number of beads be y.
total beads = 8y + 6
As the total number of beads in both cases are same so,
9x + 8= 8y + 6
or, 9x-8y = -2
Now lets check the values through hit and trial;
First check; x=6, y=7
9*6 - 8*7 = -2
or, 54- 56 = -2
or, -2 =-2
This satisfies our equation.
Hence; Total beads = 9*6 + 8 = 62
The total number of beads joyce had is 62.
Answer: the man's claim is true.
Step-by-step explanation:
Given that 30% of the well find water at a depth <=100 feet
P(X<=100) = 0.30
If the man's prediction work well the probability of finding well at less than 100 or equal should be high fwhen calculated from his results. So give 27 out of 80 wells
P(X<=100) = 27/80
P(X<=100) = 0.3375
Since 0.3375 > 0.3
The man's claim is true.
Answer:
r = - 11
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = 
with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)
m = 
= 
= - 4 ( multiply both sides by 4 )
r - 5 = - 16 ( add 5 to both sides )
r = - 11
The maximum possible area would have a length of 24 feet and width of 12 feet.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the length and y represent the width, hence:
Since beth has 48 ft fencing and cover 3 sides, hence:
x + 2y = 48
x = 48 - 2y (1)
Also:
Area (A) = xy
A = (48 - 2y)y
A = 48y - 2y²
The maximum area is at A' = 0, hence:
A' = 48 - 4y
48 - 4y = 0
y = 12 feet
x = 48 - 2(12) = 24
The maximum possible area would have a length of 24 feet and width of 12 feet.
Find out more on equation at: brainly.com/question/2972832
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