Answer:
Any multiple of 71 (i.e. 71, 142, 710, etc)
Step-by-step explanation:
Republicans = R
Democrats = D
Republicans that liked apple pie = 0.80R
Democrats liked eclairs = 0.55D
Republicans who liked apple pie that also liked eclairs = (0.80*0.20)R
If the number of Republicans who liked both desserts is equal to the number of Democrats who liked eclairs, then the following must be true:
Since the number of Republicans and Democrats must be integers, the least number of members possible is 71 (55+16).
Any value that is a multiple of 71 is a possible value for the number of members of the group
Hey there!
Let's write this as an equation, with n representing the unknown number.
0.5n-35=14
First, we add 35 to both sides.
0.5n=49
We divide both sides by 0.5.
n=108
Therefore, your number is 108
I hope this helps!
Answer:
The degrees of angle x is 180 degrees.
Step-by-step explanation:
Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of x.
Using a system of equations, it is found that Debbie worked 45 hours during the week.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Amount of hours worked by Juan.
- Variable y: Amount of hours worked by Debbie.
Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:
9x + 9y = 765
Simplifying the expression by 9:
x + y = 85 -> x = 85 - y.
Debbie worked five hours more than juan during the week, hence:
y = x + 5.
Since x = 85 - y, we replace in the expression:
y = 85 - y + 5.
2y = 90.
y = 45.
Debbie worked 45 hours during the week.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
Step-by-step explanation:
3x²-17x=-10
3x²-17x+10=0
3x²-2x-15x+10=0
x(3x-2)-5(3x-2)=0
(3x-2)(x-5)=0
3x-2=0,x=2/3
x-5=0,x=5
