Let's solve your equation step-by-step.
84
=
42
+
x
3
Step 1: Simplify both sides of the equation.
84
=
42
+
x
3
84
=
42
+
1
3
x
84
=
1
3
x
+
42
Step 2: Flip the equation.
1
3
x
+
42
=
84
Step 3: Subtract 42 from both sides.
1
3
x
+
42
−
42
=
84
−
42
1
3
x
=
42
Step 4: Multiply both sides by 3.
3
*
(
1
3
x
)
=
(
3
)
*
(
42
)
x
=
126
Answer:
x
=
126
Answer:
p = 4
Step-by-step explanation:
The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)
<h3>Cross multiply</h3>
This means multiply both sides of the equation by the product of the denominators:
(15/6)(6p) = (10/p)(6p) . . . . "cross multiply"
15p = 60 . . . . . . simplify
<h3>Second step</h3>
Now, divide by the coefficient of the variable.
15p/15 = 60/15
p = 4
The solution is p = 4.
__
<em>Additional comment</em>
If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.
__
For example, to solve ...
2/5 = p/10
you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.
__
Any proportion can be written 4 ways:

This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:
6/15 = p/10 ⇒ p = 10(6/15) = 4
Answer:
7 is the card that must be removed.
Step-by-step explanation:
2 + 5 + 8 + 9 = 24 and dividing it by four (which is something you have to do when finding the average or mean) will get you 6 as an answer. So by getting rid of 7 you have a final mean as 6.
here is the graph
i learned this in math lol lol