Answer:
The park ranger bought 2 redwood trees and 10 spruce trees.
Step-by-step explanation:
24 * 2 = 48
208 - 48 = 160
160 / 16 = 10
First we must construct an equation to model the problem. (In this case we will use an inequality instead) This is what I came up with:
450.20+0.15s>=600.10
This equation shows how if her base earnings ($450.20) are added to 15% of her sales, represented by s, then the total will be greater than or equal to $600.10
Next, we simply solve for s. (steps shown below)
1) 450.20+0.15s>=600.10 (simply restating the inequality)
2) 0.15s>=149.90 (here I isolated the variable)
3)0.15s/0.15>=149.90/0.15 (Finally I solve for s by dividing both sides by 0.15, this will isolate s on the left and leave the answer on the right)
4) s>=999.33... (here I found the total sales the salesperson would need to reach his/her goal of earning a minimum of $600.10; the 3's after the decimal are repeating so in the next step I will round up to the nearest hundredth (b/c this is what money is rounded to and if I round down he/she would make less than her goal. This means i must round up.))
5) s>=999.34 (simple rounding; once again I rounded up b/c rounding down would slightly bring the total earnings to less than the goal)
<u>Therefore, the salesperson would need his/her sales to be $999.34 in order for his/her total earnings for the week to be at least $600.10</u> (greater than or equal to $600.10)
<u>Hope this helped!</u>
Answer:
x=215.63 ft
Step-by-step explanation:
sin(53)=x/270
x=270sin(53)
x=215.63 ft
The given equation -2(11 - 12x) = -4(1 - 6x) has infinite solutions
<u><em>Solution:</em></u>
Given that we have to solve the given expression
Given expression is:
-2(11 - 12x) = -4(1- 6x)
We have to use distributive property to solve the given expression
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
Which means,
a(b + c) = ab + ac
Apply this in given expression
-2(11 - 12x) = -4(1-6x)
-22 + 24x = -4 + 24x
When both sides of the equation are simplified, the coefficients are the same, then infinite number of solutions occur
If we end up with the same term on both sides of the equal sign, such as 24x = 24x, then we have infinite solutions
<h3>
<u>Answers:</u></h3>
1. Name all the line segments.
<u>Ans.</u><u> </u> PL, LA, AY, YS,
2. How many line segments were formed?
<u>Ans.</u><u> </u> 4 (four)
3. Name all rays
<u>Ans.</u><u> </u>AM, AN
4. How many rays were formed?
<u>Ans.</u> 2 (two)
5. Name the opposite rays :
<u>Ans.</u><u> </u>AM, AN
6. Is point A between MN ?
<u>Ans.</u><u> </u>Yes
7. Find the line segments and rays formed by 5 points.
<u>Ans.</u><u> </u>
- Line segment = PL, LA, AY, YS,
- Rays = AM, AN
<h3>
Hope it helps you.</h3>