I believe 8. Let me know if this works!
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Answer: 1. 2 2. 4 3. 9
Step-by-step explanation: Hi there!
First, we need to set up our equation by combining like terms.
x+2x+4x+1=15
7x+1=15
Then subtract 1 on both sides
7x=14
Then divide by 7
x=2
So x=2
Put that into all of the x values on the piece of steel to get 2, 4, 9.
Hope this answer helps you!
Answer:
1 < x < 7.5
Step-by-step explanation:
This problem can be solved using given below property of triangle.
Sum of two sides is always greater than third side of triangle.
Difference of two sides is always lesser than third side of triangle.
_______________________________________________
Given
sides length
6.5 units
3.5 units
Third side is 2.5 + x
using the property, Sum of two sides is always greater than third side of triangle.
6.5 + 3.5 > 2.5 +x
=>10 >2.5 + x
=>2.5 + x< 10
=> x< 10 -2.5
=> x < 7.5
using the property, Difference of two sides is always lesser than third side of triangle.
6.5 - 3.5 > 2.5 +x
=>3.5 > 2.5 +x
=> 2.5 +x > 3.5
=> x > 3.5 - 2.5
=> x > 1
combining both we have
1 < x < 7.5
out of the given option none is 1 < x < 7.5
hence, correct answer will be 1 < x < 7.5 and wrong option can be claimed by student.
Let's begin by putting together some equations:
Seth has charges $39 and then $13 per hour. Since "hour" is our variable, let's write that as $13h where h = the number of hours.
Seth = 39 + 13h, $39 plus $13 times the number of hours
Malcolm charges $55 and then $11 per hour. So:
Malcolm = 55 + 11h, $55 plus $11 times the number of hours
Our goal is to find out how many hours both have to work before they charge the same amount. So let's set our Seth and Malcolm equations equal to one another.
39 + 13h = 55 + 11h, because we want to solve for h to see the number of hours.
First let's subtract 39 from each side:
(39 + 13h) - 39 = (55 + 11h) - 39
13h = 16 + 11h
Now let's subtract 11h from each side:
(13h) - 11h = (16 + 11h) - 11h
2h = 16
Simplify and solve for h by dividing each side by two:
(2h)/2 = (16)/2
h = 8
So Malcolm and Seth would have to work for 8 hours before both earn the same amount. After 8 hours, Seth would earn more than Malcolm. Before 8 hours, Malcolm would earn more than Seth.
Answer:
57
Step-by-step explanation:
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