Answer:
<em>The bee traveled 11.7 meters.</em>
Step-by-step explanation:
A bee flew 840 cm first to land on a flower to collect some pollen and then flew another 330 cm to get back to her hive.
For <u>finding the total distance traveled, we need to just add</u> 840 cm and 330 cm.
So, 
We know that, 1 meter = 100 cm. That means, <u>for converting 'cm' into 'meter' , we need to divide by 100</u>.
Thus, 
So, the bee traveled 11.7 meters.
Answer:
a. i. x ≤ 25 ii. 16 < x < 35 iii. 25 < x ≤ 95
b. The second and third car seats are appropriate for a 35 lb child.
Step-by-step explanation:
a. Model those ranges with compound inequalities
Let x represent the car seat.
i. A car seat designed for a child weighing up to and including 25 lb is described by the inequality.
x ≤ 25
ii. A car seat designed for a child weighing between 16 lb and 35 lb is described by the inequality.
16 < x < 35
iii. A car seat designed for a child weighing between 25 lb and 95 lb inclusive is described by the inequality.
25 < x ≤ 95
b. Which car seats are appropriate for a 33-lb child?
Since 35 lb is included in the range of the inequalities for the second and third card seats, the second and third car seats are appropriate for a 35 lb child.
Question says that the graph of function g is a vertical stretch of the graph of function f by a factor of 3.
Now we have to find about which equation describes function g.
We know that if f(x) is the given function then a*f(x) gives vertical stretch or compress by a factor of a.
when 0<a<1 then it compresses by factor of a.
when a>1 then it stretches vertically by factor of a.
Given that function f is stretched by a factor of a so that means we use a=3 in formula a*f(x)
Hence final answer will be g(x)=3f(x).
So choice A is correct answer.
The final point can be done by simple vector addition. Just add the corresponding components.
Final point: (4 + -1, 2 + 3) = (3, 5).
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Answer: Ray has 17 trucks .
Step-by-step explanation:
Let x = number of cars
y = number of trucks
As per given
x+y= 43 (i)
2y-8=x (ii)
We can rewrite (ii) as
x-2y= -8 (iii)
Subtracting (iii) from (i), we get
y- (-2y)= 43- (-8)
⇒ y+2y= 43+8
⇒ 3y=51
Divide both sides by 3
⇒ y = 17
Now, put this in (ii), we get
x= 2(17)-8=34-8 =26
Hence, Ray has 17 trucks and 26 cars.