Answer:
Diego is correct.
He has correctly divided 1 in groups of 
.
Step-by-step explanation:
The question 'How many groups of 5/6 are in 1?' means that we need to divided 1 into groups of 
.
When we form groups from a given total, we divided the total by the size of the group.
If we are dividing 
number of people in groups of 
number of people, then the expression to find the number of groups formed can be given as:
⇒ 
For this question the data given is:
So, the number of groups formed can be given as:
⇒ 
When divisor is a fraction, then we multiply the reciprocal of the divisor with the dividend.
⇒ 
⇒ 
In order to convert fraction to mixed number we will divide numerator with denominator and then write the quotient as whole number, remainder as numerator and the denominator remains as it is.
On dividing 6 by 5, the quotient =1 and remainder =1. Thus the mized number is:
⇒ 
Thus, there are or groups in 1. This matches with Diego's answer and hence he is correct.
Answer:
(x,y) = (2,3)
Step-by-step explanation:
y=5x-7 (i)
-3x-2y= -12
-(3x+2y)= -12
3x+2y= 12 (ii)
By putting the value of y from (i) in (ii)
3x+2(5x-7)=12
3x+10x-14=12
13x=12+14
13x= 26
x = 
x= 2
By putting the value of x in (i)
y= 5(2)-7
y= 10-7
y= 3
(x,y) = (2,3)
Answer:
y = 3/4 or y = -3/5
Step-by-step explanation:
Solve for y:
(8 y - 6) (10 y + 6) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
8 y - 6 = 0 or 10 y + 6 = 0
Hint: | Look at the first equation: Factor the left hand side.
Factor constant terms from the left hand side:
2 (4 y - 3) = 0 or 10 y + 6 = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
4 y - 3 = 0 or 10 y + 6 = 0
Hint: | Isolate terms with y to the left hand side.
Add 3 to both sides:
4 y = 3 or 10 y + 6 = 0
Hint: | Solve for y.
Divide both sides by 4:
y = 3/4 or 10 y + 6 = 0
Hint: | Look at the second equation: Factor the left hand side.
Factor constant terms from the left hand side:
y = 3/4 or 2 (5 y + 3) = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
y = 3/4 or 5 y + 3 = 0
Hint: | Isolate terms with y to the left hand side.
Subtract 3 from both sides:
y = 3/4 or 5 y = -3
Hint: | Solve for y.
Divide both sides by 5:
Answer: y = 3/4 or y = -3/5
Answer:
Just saying I LOVE THESE the slope is 3/2
Step-by-step explanation:
1. Move the negative sign to the left.
- 
*-50
2. Use this rule: 
=
-
3. Simplify - 
4. Move the negative sign to the left.
-(-950x/8)
5. Simplify 950x/8 to 475x/4
6. Remove parentheses.
