Answer:
7 girls can go in the first place, 6 in the second, etc.
7! ways is the number of ways to arrange the girls.
likewise the boys can be arranged in 7! ways
The total number of ways becomes 7! * 7!
7! * 7! = 25,401 600 ways
Answer:
3/5 or
0.6
Step-by-step explanation:
You could change these fractions to decimals, but you may not be convinced that the answer you get is the same as just using fractions. I'll start by using fractions.
x - 2/5 = 1/5 Add 2/5 to both sides
x - 2/5 + 2/5 = 1/5 + 2/5 The left side cancels to 0.
x = 1/5 + 2/5 The denominators (bottom the fraction) are the same. Just add the tops.
x = (1 + 2)/5
x = 3/5
=======================
If you use your calculator to find 2/5 and 1/5, you can get the same answer as 3/5
2
÷
5
=
0.4
By the same method, 1/5 = 0.2
Substitute into the original equation
x - 0.4 = 0.2 Add 0.4 to both sides
x - 0.4 +0.4 = 0.2 + 0.4 The left side reduces just to x
x = 0.2 +0.4
x = 0.6
If you let your calculator do the work, like this
3
÷
5
=
0.6
The answers are the same.
Let's solve your system by substitution.
y
=
−
2
x
+
7
;
y
=
5
x
−
7
Step: Solve
y
=
−
2
x
+
7
for y:
y
=
−
2
x
+
7
Step: Substitute
−
2
x
+
7
for
y
in
y
=
5
x
−
7
:
y
=
5
x
−
7
−
2
x
+
7
=
5
x
−
7
−
2
x
+
7
+
−
5
x
=
5
x
−
7
+
−
5
x
(Add -5x to both sides)
−
7
x
+
7
=
−
7
−
7
x
+
7
+
−
7
=
−
7
+
−
7
(Add -7 to both sides)
−
7
x
=
−
14
−
7
x
−
7
=
−
14
−
7
(Divide both sides by -7)
x
=
2
Step: Substitute
2
for
x
in
y
=
−
2
x
+
7
:
y
=
−
2
x
+
7
y
=
(
−
2
)
(
2
)
+
7
y
=
3
(Simplify both sides of the equation)
Answer: x=2 and y=3
Answer:
1/4 Teaspoons: 7
1/3 Cup: 20
Step-by-step explanation:
1/3 Cup:
Butter (2), Sugar (4), Coca (3), Flour(11)
1/4 Teaspoon:
Salt (3), Baking Soda (4)
Answer: 4:20
Step-by-step explanation:
60 lbs can be divided into three groups, in this case the bags of sand, so 60 divided by 3 is 20.
Now you have the 8 lbs left. It gets divided into two groups/bags so you would do 8 divided by 2 is 4.
Then for your ratio it is cement to sand which is 4:20. You can write the ratio however way you want or what is required by the question.(fraction bar, ‘to’, or colon ‘:’ )
Hope this helps!
