Answer:
x ≈ 6.5
Step-by-step explanation:
We have the epresion 
and we want to find the value of 
.
Let's do it step-by-step
Step 1. Multiply both sides of the equation by 20
Step 2. use the reflexive property of equality: if 
then 
Step 3. Using a calculator we get that 
. Replacing that value we get
x ≈ 6.5
We can conclude that the value of x is approximately 6.5
17 x .12 = 2.04 is the answer
Answer:
C
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 4)² + (y - 3)² = 16 ← is in standard form → C
To solve this problem you must apply the proccedure shown below:
1. You have that the the <span>archway is modeled by the equation y=-2x^2+8x and the angle mentioned in the problem is defined by the equation x−2.23y+10.34=0.
</span>
2. Therefore, you must susbtitute y=-2x^2+8x into x−2.23y+10.34=0, as below:
x−2.23(-2x^2+8x)+10.34=0
3. When you apply the distributive property, you obtain:
x−2.23(-2x^2+8x)+10.34=0
x+4.46x^2-17.84x+10.34=0
4.46x^2-16.84x+10.34=0
4. When you solve the quadratic equation, you obtain:
x=3 units
Therefore, the answer is the option D: D. 3 units.
Answer:
There are approximately 88 adults.
Step-by-step explanation:
The question is:
A fair was attended by 350 people of which two thirds are adolescents and a quarter adults and a fifth are children from 10 to 12 what amount corresponds to adults
.
Solution:
Total number of people attending the fair is, <em>N</em> = 350.
The proportion of adults is: P (Adults) = <em>p</em> = 0.25.
Compute the number of adults in the fair as follows:
Thus, there are approximately 88 adults.
