What's the missing term and missing coefficient of (6a - blank )5a= blank a^2 - 35a


Answer 1
Answer: first blank = 7 (because 7*5a=35a) 
second blank = 30 (because 6a*5a=30a^2)

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ENROLLMENT The enrollment at GroveMiddle School is expected to increase
by 40 students each year for the next
5 years. If their current enrollment is
600 students, find their enrollment
after each of the next 5 years.


Answer: I believe the answer is 800 students

Step-by-step explanation:

Mrs. Morales wrote a test with 15 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 point and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100.Write an equation in slope-intercept form to represent the number of questions on the test.
Write an equation in slope-intercept form to represent the total number of points on the test.
Graph the solution for both equations.
Use your graph to tell how many of each question type are on the test.


Ok, so you are basically finding a solution of equations. 
x + y = 15, since there are 15 questions.
5x +10y = 100, since the maximum number of points is 100
Now what you do is change the equations to slope intercept form, which changes to y = -x+15
and y = 1/2x + 10
I assume you can graph these?

What is 5+2n if n equals 3/4?



6 1/2

2x3/4 is 1 1/2 + 5 is 6 1/2.

How do you solve -5n-8(1+7n)=8


Let's simplify everything. 
Put the variables on one side and the numbers on the other. 
Combine like terms.

Hope I helped! :)

-5n - 8 - 56n = 8
-61n = 8 + 8
-61n = 16
n = - 16/61

The answer is: n = -16/61 or n = -0.2623.

the length of a rectangle is 2 cm more than the width. if the area of the rectangle is 24 cm2 what is the length of the rectangle?


Answer: The length is 6 and thw wodth is 4

Step-by-step explanation:

If you find two numbers that multiply to 24, you have three sets of numbers, but 6 and 4 are the only numbers that are two centimeters apart

Final answer:

The question is about finding the length of a rectangle. By creating and solving a quadratic equation with provided information, the width and length of the rectangle are 4 cm and 6 cm respectively.


The problem involves finding the length of a rectangle. To solve this, we need to consider the fact that we know information about the dimensions and area of the rectangle. The area of a rectangle is obtained by performing the multiplication of the length and the width. In this specific problem, it's stated that the length is 2 cm more than the width, and we also know that the area of the rectangle is 24 cm2.

Let's represent the width by x. Therefore, the length would be x+2. Since the area is the length multiplied by the width, we create the equation x*(x+2) = 24, which simplifies to x2+2x=24. Subtracting 24 from both sides, we get x2+2x-24 = 0.

This a quadratic equation and we'll solve for x using the quadratic formula, which results in x = 4 or x = -6. Since the width cannot be negative, x = 4 cm. After this, substitute the width (x) into the length equation. The length (x + 2) is 4 cm + 2 cm = 6 cm.

Learn more about Solving Quadratic Equations here:



Madi bought 10 quarts of ice cream how many gallons and quarts of ice cream did Madi buy explain how you found your answer


The answer is 2 gallons and 2 quarts.

1 gal=4 quarts

10/4=2 R 2

Final Answer, 2 gallons and 2 quarts.