Answer:
we need the diagram
Step-by-step explanation:
25q + 10d = 425
q + d = 20
First thing's first, picture 4 quarters. Do you know how much these 4 quarters are worth? Obviously, you'd answer one dollar, but take the time to think about how exactly you came up with this answer.
"Well, it's simple," you might think, "Multiply 0.25 by 4."
Similar to this train of thought, the first equation is formulated by doing exactly that. 'q' represents an unknown number of quarters, and 'd' an unknown number of dimes. We use 25q and 10d, because, well, we're multiplying their value by the number of coins. They're equivalent to 425 because the 20 unknown coins make $4.25 (I converted it to cents to get rid of the pesky decimals, but if you want to keep it as dollars that works too).
Because the equation states that there are 20 coins in total, we know that we can make the equation 'q + d = 20' since there are 20 quarters and dimes in total.
Let me know if you need any further explanation :)
-T.B.
Answer:
Option 3 - 
Step-by-step explanation:
Given : Perpendicular to the line 
; containing the point (4,4).
To Find : An equation for the line with the given properties ?
Solution :
We know that,
When two lines are perpendicular then slope of one equation is negative reciprocal of another equation.
Slope of the equation
Converting into slope form 
,
Where m is the slope.
The slope of the equation is 
The slope of the perpendicular equation is 
The required slope is 
The required equation is 
Substitute point (x,y)=(4,4)
Substitute back in equation,
Therefore, The required equation for the line is
So, Option 3 is correct.
The two consecutive integers can be represented by x and x+1.
x+(x+1)=71
Combine like terms
2x+1=71
Subtract 1 from both sides
2x=70
Divide both sides by 2
x=35
Final answer: 35, 36
Mode is 6
Option A is correct.
Step-by-step explanation:
We need to find the mode for the given data set:
6,8,3,5,6,4,7,7,0,1,6
<u>Definition of Mode</u>
- Mode is the most repeating value of data set.
Finding mode of data set: 6,8,3,5,6,4,7,7,0,1,6
Arranging data in ascending order:
0,1,3,4,5,6,6,6,7,7,8
SO, most repeating value is 6
So, mode is 6
Option A is correct.
Keywords: Mode of data
Learn more about mode of data at:
#learnwithBrainly
