Answer:
9,400 bacteria at Hour 17.
Step-by-step explanation:
If at
Hour 0, it was at 6,000 bacteria then at
Hour 6, it would be at 7,200 bacteria
That means in 6 hours, the bacteria has grown by 1,200
Let's use a ratio:
hours : bacteria
6 : 1,200
1 : 200
17 : 3,400
Now after 17 hours, 3,400 new bacteria has joined our group of 6,000
6000+3400=9400
9,400 bacteria should be present at Hour 17
Just get photo math and take a pic and it’ll show you how to do it like in elimination substitution and graphing
For the #4 - 8/2 & 16/4
For the #5 - 10/2 & 25/5
For the #3 - 6/2 & 9/3
For the #6 - 12/6 & 36/6
I think these are right .. Hope this helps. (:
Answer:
-5 < x < 9
Step-by-step explanation:
By Hinge theorem,
"If two sides of a triangle are congruent to the two sides of another triangle, and the included angle of one triangle is larger than the included angle of the second, then the 3rd side of triangle one will be larger than the third side of the second"
23 > 21
Therefore, 42° > (3x + 15)°
42° - 15° > 3x
27 > 3x
9 > x
And (3x + 15) > 0
3x > -15
x > -5
Therefore, range for x will be,
-5 < x < 9
The system of linear equations that may be used in order to solve this problem is as follows:
x + y = 37
2x + 3y = 95
This is considering that x is the number of bracelets sold and y is the number of necklaces.
The values of x and y in the equation are 16 and 31, respectively.
Thus, the answer is 16 bracelets and 21 necklaces.