Answer:
x = -2 and y = 2
Step-by-step explanation:
The given equations are :
-5x-2y=6 ...(1)
3x+6y=6 ...(2)
Multiply equation (1) by 3. SO,
-15x-6y=18 ...(3)
Adding equation (2) and (3).
3x+6y-15x-6y = 6+18
-12x = 24
x = -2
Put the value of x in equation (1).
-5(-2)-2y=6
10-2y=6
4=2y
y = 2
So, the value of x is -2 and y is 2.
Answer:
(-2, -4)
Step-by-step explanation:
Given:
The system of equations to solve is given as:

In order to solve this system of linear equations, we use substitution method.
In substitution method, we substitute the value of any one variable in the other equation.
So, we substitute the value of 'y' from first equation in the second equation.
This gives,

Dividing both sides by 3, we get:

Now, 
Therefore, the solution is (-2, -4)
Answer:
let the of bag of vendors be X
3donate X bag to give 996
3×x=996
3x=996
divide both side by 3
3x\3=996\3
x=332
each vendor donated 332bags of popcorn
Answer:
B. About 2% of the boys are eligible to be a small forward on the team
Step-by-step explanation:
Recall : 1 feets = 12 inches
Point guard = 6’2" – 6’6" tall = 74 - 78 inches
Mean = 70 ; Standard deviation = 4
Z = (x - mean) / standard
P(x < 74) = (74 - 70) / 4 = 1
P(x < 78) = (78 - 70) / 4 = 2
0.97725 - 0.84134 = 0.13591
Small forward : 6'6" = 78 inches
P(x ≥ 78) = (78 - 70) / 4 = 2
P(z ≥ 2) = 0.02275 = 2.275% about 2%
Centre : 6'8" = 80
P(x ≥ 80) = (80 - 70) / 4 = 2.5
P(z ≥ 2.5) = 0.0062097 = 0.62%
Answer:
Value of b =
=1.25.
Step-by-step explanation:
Direct Variation states that a relationship between two variables in which one is a constant multiple of the other.
*if one variable changes the other changes in proportion to the first.
*If a is directly proportional to b i.e,
then it is of the form
a = kb ;where k is constant variation.
Given: a varies directly as b;
then, by definition of direct variation;
we have;
.....[1]
Substitute the value of a =28 and b =7 to solve for k;

Divide both sides by 7 we have;

Simplify:
k =4
now, find b using same method when a =5;
then;
after substituting the value of a = 5 and k=4 in [1] ;

Divide by 4 to both sides we get;

Therefore, the value of b =
=1.25