Answer:
Step-by-step explanation:
1. 4x=7(x-3) Reason: Starting equation
2. 4x=7x-21 Reason: Distributive Property
3. -3x=-21 Reason: Subtracting Combining like terms
4. x=7 Reason: Division
Answer:
A: Angle J
Step-by-step explanation
If the two triangles are congruent then their corresponding angles are also congruent. This means that angle P is congruent to angle J, angle Q is congruent to angle K and angle R is congruent to angle L. Hope this helps :D
Answer:
- as written: c = P - a - b - d/4
- with parentheses: c = 4P - a - b - d
Step-by-step explanation:
The meaning of the given expression is ...
P = a + b + c + (d/4)
To solve for c, subtract all the terms on the right side not containing c.
P -(a + b + (d/4)) = c
c = P - a - b - (d/4)
_____
In such equations, parentheses are commonly missing. If that is the case here, then first we undo the division by 4, then we subtract the "not c" terms.
P = (a + b + c + d)/4 . . . . maybe what you meant
4P = a + b + c + d . . . . . . multiply by 4
4P - (a +b +d) = c
c = 4P -a -b -d
it would take Janis 14 minutes to complete a package alone
<h3>How to determine the value</h3>
From the information given,
Let's say that
Carol working time = x = 30 minutes
Janis working time = y
x + y = 16 minutes
Let's make 'y' the subject
30 - 16 = y
y= 14 minutes
Thus, it would take Janis 14 minutes to complete a package alone
Learn more about word problems here:
brainly.com/question/13818690
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Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05<em>n</em> + 0.10<em>d</em> = 1.50
==> 5<em>n</em> + 10<em>d</em> = 150
Multiply both sides of the first equation by -5:
<em>n</em> + <em>d</em> = 21
==> -5<em>n</em> - 5<em>d</em> = -105
Add the two equations together:
(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)
Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :
(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105
5<em>d</em> = 45
<em>d</em> = 45/5 = 9
Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:
<em>n</em> + 9 = 21
<em>n</em> = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
