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KengaRu [80]
3 years ago
15

What is the slope of the line perpendicular to the line represented by the equation 2x+4y=12?

Mathematics
1 answer:
Lelu [443]3 years ago
8 0
The slope would be 2
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A salesperson earns $450.20 per week plus 15% of her weekly sales. Which of the following describes the sales necessary for the
lapo4ka [179]
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>
4 0
3 years ago
Brandon earns a rebate each month on his meals and movie tickets. He earns $0.50 for each movie ticket and $2 for each meal. Las
Alex787 [66]
A. 25 = (.5 * 22) + (2 * x)

B. 25 = (.5 * 22) + (2 * x)
25 = 11 + 2x
14 = 2x
7 = x

C. 7
7 0
3 years ago
The area of a square shaped yard is 201.5 ft2. Which measurement is closest to the side length of this yard in feet?
Aleonysh [2.5K]

Answer:

a = 14.19 feet

Step-by-step explanation:

Given that,

The area of a square shaped yard is 201.5 ft²

We need to find the side length of this yard in feet.

The area of a square shaped object is given by :

A = a², a is the side length of the object

Put A = 201.5 ft² in above formula,

201.5=a^2\\\\a=\sqrt{201.5 } \\\\a=14.19\ \text{feet}

So, the side of the square yard is 14.19 feet.

8 0
3 years ago
Zack, Rachel, and Maddie are unraveling a huge ball of yarn to see how long it is. As they move away from each other, they form
Korolek [52]
We are tasked to solve the three angles given that we have the measurements of the sides such as
a = Zack to Rachel distance
b = Rachel to Maddie distance
c = Maddie to Zack distance

a =3
b =2.5
c =4

Solving the angles we need to use Law of Cosines:
cos A = 2.5² + 4² -3² /2*2.5*4
A = 48.59°

cos B=3² + 4² - 2.5² / 2*3*4
B = 38.625°

C=180 - 48.59° - 38.625°
C= 92.79°

The three angles are 48.59°,38.63° and 92.79°. 
8 0
4 years ago
Evaluate n + 5/5<br> When n= -10
vesna_86 [32]

Answer:

n + 5/5 = -9

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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