Solution:
Number of wooden boards that Pierre possess= 220
Number of nails that Pierre have= 760
The two expression which represents the number of tables T and chairs C he can make with 220 wooden boards and 760 nails
1. 13 T+8 C≤220
2. 48 T+37 C≤760
We can solve it by two methods, either graphically or by finding their point of intersections,as these two are inequalities in two variable
Equation (1) × 37 - Equation (2) × 8
481 T + 296 C-384 T -296 C≤8140 - 6080
97 T ≤ 2060
T ≤ 21.23(approx)
Putting the value of T in equation (1),
13 × 21.23 + 8 C ≤ 220
347.80 + 8 C≤220
8 C ≤ 220 - 347.80
8 C≤-127.80
As, the value of Chairs (C) can't be negative.
So, the two inequalities which represents number of chairs and number of tables is incorrect.
So, we can't find total number of chairs and total number of tables with the given inequalities.
Based on the model of the population and the amount of years that have passed, the current population is <u>39,393 people. </u>
The model of the population is:
<em>= 35,000 x (1.03)^ x</em>
If x is 4 years, slot this into the model to get:
= 35,000 x 1.03⁴
= 35,000 x 1.12550881
= 39,393 people
In conclusion, the current population is 39,393 people.
<em>Find out more at brainly.com/question/1232096. </em>
Answer:
60
Step-by-step explanation:
Divide the number of questions answered correctly by his percentage
51 / 85 = 0.6
Now multiply that answer by 100 to see how many questions are on the quiz
0.6 x 100 = 60
Check your work by dividing that number by the number he answered correctly
51 / 60 = 0.85
When an exponent is raised to another exponent, you can multiply the powers to simplify them.
3/8*3/4
<em>*Multiply numerators*</em>
3*3=9
<em>*Multiply denominators*</em>
8*4=32
x^9/32
Hope this helps!!
Answer:
-5 -√8 or ≈ -7.83
Step-by-step explanation:
<u>Solving the quadratic equation, to find its roots:</u>
- x^2 + 10x + 25 = 8 ⇒ The left side is perfect square
- (x+5)^2=8 ⇒ Getting square root of both sides
- x+5 = ± √8 ⇒ There are 2 roots
- x = - 5 ± √8
<u>The smallest root is:</u>
