Answer:
The result is 3.
Step-by-step explanation:
One way is to convert the 0.25 to a fraction.
Thus 0.25 = 25/100 = 1/4.
Note 6/8 simplifies to 3/4, so we have the division:-
3/4 / 1/4
We invert the 1/4 and multiply:-
= 3/4 * 4/1
= 12/4
= 3 (answer).
Answer:
x
+
y
=
2
, y
=
x
2
−
4
x
+
4
Replace all occurrences of
y
with x
2
−
4
x
+
4
in each equation.
x
2
−
3
x
+
4
=
2
y
=
x
2
−
4
x
+
4
Solve for
x
in the first equation.
x
=
2
,
1
y
=
x
2
−
4
x+
4
Replace all occurrences of
x with 2
in each equation.
y=0
x
=
2
Replace all occurrences of x
with 1
in each equation.
y
=
1
x
=
1
The solution to the system is the complete set of ordered pairs that are valid solutions.
(
2
,
0
)
(
1
,
1
)
The result can be shown in multiple forms.
Point Form:
(
2
,
0
)
,
(
1
,
1
)
Equation Form:
x=2
,
y
=
0
x
=
1
,
y
=
1
Step-by-step explanation:
Answer: 20 children
Step-by-step explanation:
<u>Given</u>
Year 4: 11 cannot swim
Year 5: 21 can swim
Year 6: 18 of 30 can swim
Total 96 children
Total 37 cannot swim
<u>First Step: find the number of people from year 5 who cannot swim</u>
- There are 30-18=12 people who cannot swim in year 6
- There are 11 who cannot swim in year 4
- Thus, we use the total number [37]-[year 4+year 6]=37-23=14 people who cannot swim in the year 5
<u>Second Step: find the number of children in year 5</u>
- There are 21 children who can swim
- There are 14 children who cannot swim
- 21+14=35 children
<u>Third Step: find the number of children in year 4 who can swim</u>
- There are 30 children in year 6
- There are 35 children in year 5
- There are 11 children in year 4 who cannot swim
- There are in total 96 children
- 96-30-35-11=20 children in year 4 who can swim
Hope this helps!! :)
Please let me know if you have any questions
Answer:
a) 12x + 22 b) 17
- x
Step-by-step explanation:
Perimeter is the sum of the each side length.
The first example is a rectangle so the (4x+8) and the (2x+3) are doubled.
(4x+8) x 2 = 8x+16
(2x+3) x 2 = 4x + 6
12x+22
(6 - 12x) + (2 + x) + (9 + 10x)
combine like-terms.
17 - x
Answer:
-19. Cant be -6 as its to the right. the others are positive.
