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ad-work [718]
2 years ago
3

What is the simplified expression for 3a^2+9ab+5-4a^2-4ab +3?

Mathematics
2 answers:
Ipatiy [6.2K]2 years ago
8 0
The answer should be 5ab - a^2 + 8
Verizon [17]2 years ago
7 0

Answer:

-a^2 + 5ab  + 8

Step-by-step explanation:

The given expression is 3a^2 + 9ab + 5 -4a^2 - 4ab + 3

To simplify the expression, we need to identify the like terms and simplify.

<u>Like terms: </u>The like terms are the terms which are having the same variable and the same exponents. The coefficients may be differ.

Examples: i) 3x and -4x are the like terms ii) 3xy^2 and -7xy^2 are the like terms.

Now let's identify the like terms from the given expression.

3a^2, -4a^2 are the like terms

9ab, -4ab are the like terms

5, 3 are the like terms

Now we can combine the like terms and simplify.

3a^2 + 9ab + 5 -4a^2 - 4ab + 3

= (3a^2 - 4a^2) + (9ab - 4ab) + 5+ 3

= -1a^2 + 5ab + 8

= -a^2 + 5ab  + 8

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Lincoln Junior High School asked all of their eighth grade students the question, “What is your favorite breakfast?” and 18 perc
Rufina [12.5K]

Answer:

I hope this image and explanation helps you!

Step-by-step explanation:

All students in the eighth grade were surveyed, so we can make the valid conclusion that 18% of all students in the eighth grade at Lincoln Junior High School have pancakes as their favorite breakfast.

However, the question did not ask about the students' favorite meal of the day, so we cannot draw any valid conclusions about the students' favorite meal.

The valid conclusion:

18% of all students in the eighth grade at Lincoln Junior High School have pancakes as their favorite breakfast, but we cannot conclude anything about the percent of the population who have breakfast as their favorite meal.

5 0
2 years ago
The figure below shows the dimensions of a city park in feet. Shannon thinks the area of city park is 73,084 square feet. Do you
Andreyy89

Answer:

We need to solve for the 4th side

4th side base = 75.5 -60.5 = 10 feet

4th side height = 16

4th side LENGTH^2 = 10^2 + 16^2

4th side = sq root (356) = 18.8679622641

Trapezoid Area = [(sum of the bases) / 2 ] * height

Trapezoid Area = [(136)/2] * 16

Trapezoid Area = 1,088 square feet, which is MUCH smaller

than 73,084

Step-by-step explanation:

3 0
2 years ago
Damien , Jake , and Makayla shared a bowl of grapes . Damien ate x grapes . Jake ate 1 more than twice the number of grapes that
vivado [14]

Answer:

There were (4x + 2) grapes in the bowl

Step-by-step explanation:

Here, we are interested in calculating the total number of grapes in the bowl.

We have 3 people sharing the total

Damien are x grapes

Jake ate 1 more than twice what Damien and that is (1 + 2x) grapes

Makayla ate 5 fewer grapes than Damien: So what Makayla ate is (x-5) grapes

And now, we have 6 grapes left.

To find the total number of grapes in the bowl, we need to add up all what they ate plus what is left.

Mathematically, that would be;

x + 1 + 2x + x -5 + 6

= 4x + 2

8 0
2 years ago
Read 2 more answers
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solut
Daniel [21]
B
Here, x is the volume of the 10ml solution. Multiplying it by its concentration gives the amount of alcohol in it. 50 is the total volume of the 12% solution so (50 - x) gives the volume of the 15% solution. Multiplying this by the concentration gives the amount of alcohol in it. The sum of these amounts of alcohols is equivalent to the amount of alcohol in the 12% solution which is given by the product of its volume and concentration.
5 0
2 years ago
Read 2 more answers
The swimming instructor has a list of 152 students who have signed up for swimming lessons. The swimming instructor can register
andrew-mc [135]

Answer:

2. 13

Step-by-step explanation:

The least number of classes need for all of the students to be registered in a class is 13 since you want all of the stuednts to be registered so no one should be left out. If we do 12*12 (12 students in each class and there are 12 classes), that would only let 144 students take the swimming classes and 8 students would be left out. We don't want that though since we want all of the students to be registered. So let's go to 12*13 (12 students in each class and  there are 13 classes), that would let 156 students take the swimming class. 156>152 so therefore, 13 classes would allow for all 152 students to be registered and it is the least number of classes needed for all the students to be registered in a class (plus you would have 4 seats left for anyone who wants to register in the future but the remainder doesn't matter).  

6 0
2 years ago
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