Answer:
The total number of cupcakes that Natalie dropped is 7.
Step-by-step explanation:
This question can be solved using a rule of three.
The amount of cupcakes that she has, which is 20, is 100% = 1. How many cupcakes is 35% = 0.35?
20 cupcakes - 1
x cupcakes - 0.35
x = 20*0.35 = 7
The total number of cupcakes that Natalie dropped is 7.
Hope this helps you out :D
It’s 2 equations so in order to solve the previous system, you can use different methods, as for example substitution or addition of equations. In this case, you use the second one, due to the fact you have 7x in one equation and -7x in the other equation. In this way you can easily eliminate variable x and then solve for y. With the value of y you can replace in any of the two equations and solve for x.
7x-y=-1
-7x+3y=-25
Summarizing, you proceed as follow:
- add up the given equations
7x - y = -1
-7x+3y=-25
——————
0 +2y=-26
- solve for y in the previous equation
2y=-26
y=-26/2
y=-13
- replace the obtained value of y in one of the given equations, and solve for x
7x-(-13)=-1
7x+13=-1
7x=-1-13
7x=-14
x=-14
x=-14/7
x=-2
Hence, the solution of the given systems of equation is:
X=-2
Y=-13
Answer:
-7/2
Step-by-step explanation:
lets do math:
this looks pretty hard right,
so lets say our number is called x
this is our equation:
-6=(4x-4)1/3
divide -6 by 1/3 because why not
=-18
-18=4x-4
add 4 to both sides because im smart
-14=4x
divide both side by 4 because im smart again
x=-7/2
lemme check this because i make mistakes a lot.
im right
Answer:
Point D
Step-by-step explanation:
Point D(x,y) x=4, y=4/2=2
Answer:
1) a. False, adding a multiple of one column to another does not change the value of the determinant.
2) d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.
Step-by-step explanation:
1) If the multiple of one column of a matrix A is added to another to form matrix B then we get: |A| = |B|. Here, the value of the determinant does not change. The correct option is A
a. False, adding a multiple of one column to another does not change the value of the determinant.
2) Two matrices can be column-equivalent when one matrix is changed to the other using a sequence of elementary column operations. Correc option is d.
d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.
