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stira [4]
3 years ago
12

Which equation demonstrates the additive inverse property?Select one of the options below as your answer:

Mathematics
1 answer:
Naddik [55]3 years ago
5 0
<span>D. r + (-r) = 0
</span>
The additive inverse<span> of a number a is the number that, when added to a, yields zero. This number is also known as the opposite.</span>
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Brianna has x nickels and y pennies. She has no less than 20 coins worth no more
Bond [772]

Answer:

y \ge 20 - x

y \le 80 -5x

(x,y) = (15,5)

Step-by-step explanation:

Given

Nickels = x

Pennies = y

Amount = \$0.80 maximum

Coins = 20 minimum

Required

Solve graphically

First, we need to determine the inequalities of the system.

For number of coins, we have:

x\ +\ y\ge 20 because the number of coins is not less than 20

For the worth of coins, we have:

0.05x\ +\ 0.01y\ \le0.80 because the worth of coins is not more than 0.80

So, we have the following equations:

x\ +\ y\ge 20

0.05x\ +\ 0.01y\ \le0.80

Make y the subject in both cases:

y \ge 20 - x

0.01y \le 0.80 - 0.05x

Divide through by 0.01

\frac{0.01y}{0.01} \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}

y \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}

y \le 80 -5x

The resulting inequalities are:

y \ge 20 - x

y \le 80 -5x

The two inequalities are plotted on the graph as shown in the attachment.

y \ge 20 - x --- Blue

y \ge 80 -5x --- Green

Point A on the attachment are possible solutions

At A:

(x,y) = (15,5)

4 0
2 years ago
Can someone please help me.. very quickly .. thank you
Alisiya [41]
X/8 + 12 = 16 
start by subtracting twelve from both sides
x/8 + 12 = 16 
      - 12   -12
You're left with x/8 = 4
Multiply both sides by 8
8× x/8 = 4 ×8
Your answer is x = 32
If you need to simplify, the answer is 2. 


 
3 0
3 years ago
Read 2 more answers
The population of Stark county this year is 7,921 people. Last year the population was 7,547 people. Find the approximate percen
Sholpan [36]

Answer:

Option (C)

Step-by-step explanation:

To determine the population we use the formula,

P_n=P_0(1+r)^{n}

Where P_n = final population

P_0 = Initial population

r = percentage growth

Now we substitute these values in the formula,

7921=7547(1+r)^1

\frac{7921}{7547}=(1+r)

r = 1.0496 - 1

r = 0.0496

r = 0.05

Therefore, percentage growth of the population of Stark county is 5%.

Option (C). will be the answer.

4 0
3 years ago
Prove that the value of the expression does not depend on a:<br><br> a−(6a−(5a−8))
djyliett [7]

Step-by-step explanation:

a−(6a−(5a−8))

a-(6a-5a+8)

a-6a+5a-8

6a-6a-8

0-8

=-8

so the answer doesn't depend on a

3 0
3 years ago
Write 24 as a product of its prime factors.
Alex777 [14]
<span>prime factors are prime numbers that can be multiplied to give the number.
to find the prime factors the number is divided by the prime numbers by which the number is divisible.
                                                                               
24 / 3 = 8                                                                            
8 / 2 = 4                                                                                
4 / 2 = 2                                                                             
2 / 2 = 1                                                                                 
24 is divisible by 3 , 2 , 2 and 2.
therefore 24 written as a product of its prime factors is 24 = 2 x 2 x 2 x 3</span>
8 0
3 years ago
Read 2 more answers
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