MATHEMATICS MIDDLE SCHOOL

Sully earns $80 by selling a laptop and $60 by selling a smartphone. He wants to make a profit of at least $6,800. Write an inequality to model the amount Sully earns by selling laptops and smartphones.

Answers

Answer 1

Answer:

Answer:

The inequality that represent the problem is $80x+60y \geq 6,800$

The solution in the attached figure

Step-by-step explanation:

Let

x ----> the number of laptops sold

y ----> the number of smartphones sold

we know that

The inequality that represent the problem is equal to

$80x+60y \geq 6,800$

The solution of the inequality is the shaded area

Remember that the number of laptops or the number of smartphones must be a whole positive number

The graph in the attached figure

Answer 2

Answer:

Answer:

the 2nd one isss x+y< 100

Step-by-step explanation:

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anne has $28.90 more savings than beatrice. 3/5 of beatrice's savings is the same as 1/2 of anne's savings. how much does anne have in savings?

Answers

a=b+28.90
3b/5=a/2
3b/5=(b+28.90)/2
3b/5=b/2+14.45
b/10=14.45
b=144.5
a=144.5+28.90
a=173.4
Anne has $173.40
Beatrice has $144.50

Final answer:

Beatrice has $144.50 in savings and Anne has $173.40 in savings.

Explanation:

To solve this problem, let's assume Beatrice has x dollars in savings. Since Anne has $28.90 more savings than Beatrice, Anne's savings can be represented as (x + 28.90) dollars.

We are also given that 3/5 of Beatrice's savings is the same as 1/2 of Anne's savings. We can write this as:

(3/5)x = (1/2)(x + 28.90)

To solve the equation, we can cross multiply and simplify:

2(3/5)x = x + 28.90

6/5x = x + 28.90

6x = 5x + (5 * 28.90)

6x - 5x = 144.50

x = 144.50

Therefore, Beatrice has $144.50 in savings and Anne has (144.50 + 28.90) = $173.40 in savings.

Learn more about Savings here:

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Which of the following fractions have the same value as 16 ÷ (–3)? Check all that apply.16 over negative 3
-16 over negative 3
- 16 over 3
16 over 3
-( 16 over 3)
-( 16 over -3 )

Answers

The expression 16 ÷ (–3) can be written as 16 over negative 3, -16 over 3, and -( 16 over 3 ) options (A), (C), and (E) are correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The number expression is:

= 16 ÷ (–3)

We can write the above number expression as follows:

= 16/(-3)

-16/3

-(16/3)

Thus, the expression 16 ÷ (–3) can be written as 16 over negative 3, -16 over 3, and -( 16 over 3 ) options (A), (C), and (E) are correct.

Learn more about the arithmetic operation here:

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Answer:

16 over negative 3

-16 over 3

-( 16 over 3 )

Benny bought 8 new baseball cards to add to his collection. The next day his dog ate half his collection. There are now only 36 cards left. How many did he start with? Answer in equation

Answers

Benny started out with 80 Baseball cards.

36 x 2 + 8

What is the probability of landing a 3 or 9? Write your answer as a reduced fraction

Answers

Answer:

1/3

Step-by-step explanation:

21.

Probability of an even happening is equal to the number of desired outcomes divided by the total number of outcomes.

The desired outcomes here are 3 and 9. There are two desired outcomes.

The total number of outcomes is 6.

p(event) = (number of desired outcomes)/(total number of outcomes)

p(3 or 9) = 2/6 = 1/3

Missing numbers on the number line

Answers

Answer:

Step-by-step explanation:

Ray has $200 and earns an allowance of $50 per month. His sister Amber has $300, but her allowance is only $25 per month. In how many months will they have the same amount of money? Please show your work.