Hello there.
<span>Fifty- three students from 32 different schools signed up for a multi-classroom project. About how many students signed up for the project?
</span><span>B. about 1,800 students
</span>
Answer:
Therefore the number of brown shells in each necklace was = 2 brown shells.
Step-by-step explanation:
If Julie made identical necklaces then we can say that number of each different colored shells were equally distributed among the necklaces.
So we can say that to find the number of necklaces we have to find the GCD (greatest common denominator) of the different colored shells.
Therefore the GCD of 10, 15 and 20 is 5.
Therefore Julia made 5 necklaces.
Therefore the number of brown shells in each necklace was = 
= 2 shells.
Answer:
The expression for the length of the rectangle is 2x + 4
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of a rectangle is expressed as (14x + 28) square feet. If the width of the rectangle is 7 feet, then the expression for the length of the rectangle would be
Length = Area/ width
= (14x + 28)/7
The numerator has a common factor of 7. Therefore, if we factorize 7 out, it becomes
7(2x + 4)/7
Length = 2x + 4
Answer:
(x,y,z) = (2,-2,1)
Step-by-step explanation:
Three equations with three variables are given. Take two equations at a time to eliminate one variable.
x + y - z = -1 .....(1)
4x -3y + 2z = 16 .....(2)
2x - 2y - 3z = 5 ......(3)
Solve (1) and (3) to eliminate z.
To do that multiply (1) by 2 and add (1) and (2). We get:
4x - 5z = 3 ......(4)
Now, solve (2) and (3) and subtract them. We get:
2x + 13z = 17 ......(5)
Solve (4) and (5). Multiply (5) by 2 and subtract. We get:
z = 1
Substituting z = 1, in (4) we get: x = 2.
Now to find y, substitute values of x and y in (1).
⇒ x + y - z = -1 ⇒ 2 + y - 1 = -1
⇒ y = -2
∴ Values of (x, y, z) = (2, -2, 1).
Answer:
1. 10n
2. 3x^2z^2
3. 2(9n^3 - 3n^2 + 3n - 1)
4. (Put the same thing)
5. There are no common factors so it is completely factored out.
Step-by-step explanation:
For 1, you gotta find the gcf of the numbers and the variables. So, the common factor of 90, 70, 70, and -80 is 10. Nothing else greater than 10 divides these numbers. For the variables, only "n" is the GCF, as there is one "n" and all the other numbers have n^2 and etc.
For 2, same thing, you have to find the gcf for the numbers and the variables.
3. same thing ;-; (gcf is 2 btw, nothing divides the variables because 2 has no "n".
4. theres nothing that divides the numbers or the variables. So, the gcf is just 1.
