Step 1: Simplify both sides of the equation.
37
=
−
3
+
5
(
x
+
6
)
37
=
−
3
+
(
5
)
(
x
)
+
(
5
)
(
6
)
(Distribute)
37
=
−
3
+
5
x
+
30
37
=
(
5
x
)
+
(
−
3
+
30
)
(Combine Like Terms)
37
=
5
x
+
27
37
=
5
x
+
27
Step 2: Flip the equation.
5
x
+
27
=
37
Step 3: Subtract 27 from both sides.
5
x
+
27
−
27
=
37
−
27
5
x
=
10
Step 4: Divide both sides by 5.
5
x
5
=
10
5
x
=
2
Step-by-step explanation:
your teacher was very nice and warned you about the trap in the question.
so, really, what do we have to do ?
a full circle represents 360°.
the shaded sector is the full circle minus the white sector !
this is the same as directly calculating the shaded sector for 360-75 = 285°.
so, the area of a circle is
pi×r²
in our case
pi×20² = 400pi
the needed fraction of the whole circle is either
75/360, if we want to subtract it for the solution
or
285/360, if we want to calculate the solution directly.
both lead to the same result.
400pi×360/360 - 400pi×75/360 =
= 400pi × 285/360 = 10pi × 285/9 = 2850pi/9 =
= 316.6666666...pi ≈ 316.7pi
The answer is 54in i belive
To solve this one-step equation you:
1. Substract 9 in both sides of the equation:
In this step is the mistake as Sara gets as result -4x=29 and the corret result of substract 9 in both sides of the equation is 5x=20.
2. Divide both sides of the equation into 5:
Then, the answer that Sara should found for the equation is x=4
Answer:
There are 4 possibilities
Step-by-step explanation
Each customer has 2 ways to receive the money. For each way, the other customer has 2 option, giving a total of 2*2 = 4. Here are the possibilities, separating in 2 different cases.
Case 1: customer 1 withdraws 2 $20 bills
option 1.1: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 2 $20 bills
option 1.2: customer 1 withdraws 2 $20 bills AND customer 2 withdraws 4 $10 bills
Case 2: customer 1 withdraws 4 $10 bills
option 2.1: customer 1 withdraws 4 $10 bills AND customer 2 withdraws 2 $20 bills
option 2.2: customer 1 withdraws 4 $10 bills AND customer 2 withdraws 4 $10 bills
options 1.1, 1.2, 2.1 and 2.2 give us a total of four ways for the customers to retrieve thier money.
