MATHEMATICS MIDDLE SCHOOL

What can be added to -1 so it can be a positive 1?

Answers

Answer 1
Answer: so represent missing number with x
x means unknown so
x+-1=+1
adding a negative means subtraction
x-1=1
you can do anything to an equation as long as you do it to both sides
add 1 to both sides
x+1-1=1+1
x+0=2
x=2

the number is 2

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23% of 432 students equals how many students?

Answers

Multiply 23% by 432.
change 23% into a decimal which simply is 0.23
0.23*432=99.36
since it's students, and u can't have part of a student round it off and say 99 students.

What is the length of a diagonal of a cube with a side length of 1 cm?

Answers

1.73 i belive :) :) :) :) :)

Of the 63 trucks at the local dealership, five-sevenths are red. How many red trucks does the dealership have?

Answers

35 red trucks because 63 / 9 = 7 and then 7 x 5 = 35.
The correct answer would be 45 being that it just is

What is the approximate area of the shaded region?

Answers

That 10 is the diameter of the circle.

First let's find the area of the square.

A = s^2

Where 's' is the side.

A = 10^2

A = 100

Now let's find the area of the circle.

The '10' is also the diameter of the circle.

A = pi * r^2

A = 3.14 * 5^2

A = 3.14 * 25

A = 78.5

Now subtract this from the area of the square.

100 - 78.5 = 21.5

So the approximate area of the shaded region is 21.5cm^2

Answer:

21.5^2

Step-by-step explanation:

A car rental agency initially offers a car that can go 304 miles on 19/2 gallons of gasoline. There are other vehicles available at the agency, shown below. Which of the other cars have a greater unit rate of miles per gallon than the recommended car?A) 187 miles on 17/2 gallons
B) 357 miles on 21/2 gallons
C) 216 miles on 27/2 gallons
D) 209 miles on 11/2 gallons
E) 115 miles on 5/2 gallons

Answers

ITHINK THAT TH ENASWER IS B sorry for caps

Write the equation of a vertical ellipse with a major axis of 20, a minor axis of 12, and a center of (6, 3)

Answers

Answer:

The equation of a vertical ellipse is  ((x-6)^2)/(100) + ((y-3)^2)/(36)   = 1\n

Step-by-step explanation:

Here, given:

Length of major axis:  20

⇒ 2 a  = 20  , or , a = 10

Length of minor axis:  12

⇒ 2 b  = 12  , or , b = 6

Also, center (h,k)  = (6,3)

Now, STANDARD EQUATION OF ELLIPSE :

((x-h)^2)/(a^2) + ((y-k)^2)/(b^2)   = 1\n

Now, substituting the values, a, b , h and k in above expression, we get:

((x-6)^2)/(10^2) + ((y-3)^2)/(6^2)   = 1\n

or, ((x-6)^2)/(100) + ((y-3)^2)/(36)   = 1\n

Hence, the equation of a vertical ellipse is  ((x-6)^2)/(100) + ((y-3)^2)/(36)   = 1\n
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In order to raise money for holiday gifts for your family, you are planning on starting a dog walking and car wash business. You earn $12 per hour while dog walking and $18 per hour washing cars. You need to earn at least $600 during the month of November.1.Assign a variable to represent the number of hours that you will spend dog walking in November. Write an expression to represent the amount of money you need to earn while dog walking. 2.Assign a variable to represent the number of hours that you will spend washing cars in November. Write an expression to represent the amount of money you need to earn while washing cars. 3.Write an algebraic model using inequalities that represents the total amount of money earned by dog walking and washing cars during the month of November. 4.Graph the algebraic model in the first quadrant only. Let the x-axis be the number of hours spent dog walking and the y-axis be the number of hours spent washing cars. Click here for a sheet of graph paper to print.. 5.Use the graph and algebraic model to answer the following: a.Why does the graph exist only in the first quadrant? b.Are you able to earn exactly $600? Use the solutions of the system to find possible combinations of outcomes that equal exactly $600. Where do all of the combinations occur in the graph? c.Is it possible to earn more than $600? Use the solutions of the system to find possible combinations of outcomes that are greater than $600. Where do all of the combinations occur in the graph? d.If you work for 10 hours walking dogs and 10 hours washing cars, will you have earned enough money for the holiday gifts? Where does 10 hours walking dogs and 10 hours washing cars fall on the graph? Is this location representative of the solution to the algebraic model? Click here for a sheet of graph paper to print.. 6.How would the algebraic model be different if you needed to earn more than $600? Adjust your algebraic model to show that you must earn more than $600. Would the graph of the model be different from the original? Would you include the line in the solution? What type of line represents "more than"? Graph your new algebraic model . 7.In complete sentences, explain the difference between a solid line and a dashed line when graphing an inequality. When graphing the two algebraic models, how did you determine which type of line to use? 8.How did you determine which part of the graph of the inequality to shade? What does the shaded area tell you? What does the area that is not shaded tell you?