Katie spent $465 on DVDs and CDs. The CDs cost $15 each, and the DVDs cost $19 each. A total of 27 CDs and DVDs were purchased. How many of each did she buy?(solve by substitution or elimination methods only)
Answers
Answer:
12 CDs and 15 DVDs
Step-by-step explanation:
Let
x----> the number of CDs
y---> the number of DVDs
we know that
x+y=27 -----> x=27-y ----> equation A
15x+19y=465 ----> equation B
Solve by substitution
substitute equation A in equation B and solve for y
15(27-y)+19y=465
405-15y+19y=465
4y=465-405
4y=60
y=15 DVDs
Find the value of x
x=27-y
x=27-15=12 CDs
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You are reaching the price of MP3 players.Yiu found an average price of $58.80. One MP3 player cost $56 and another cost $62. Find the price of the third MP3 player
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Step-by-step explanation:
Since we have given that
were changed to
As we know the standard form is :
In the first one, the slope is 3 i.e. (m = 3) while in the second one, the slope is 5 i.e. (m = 5)
By using of slope , we can compare the new graph with the first one.
Answers
Function A Least Rate, Function B, Function C Greatest Rate.
To determine the rate of change of each linear function, we can look at their slopes. The slope of Function A can be found by taking the difference between the y-coordinates of any two points on the line and dividing by the difference between the corresponding x-coordinates. For example, using the points (0, 1) and (2, 4), we can find the slope of Function A as (4-1)/(2-0) = 3/2.
The slope of Function B can be found by using the given intercepts, which means the slope of Function B is -2/3 (as the line passes through the points (0,2) and (3,0)).
The slope of Function C can be found by rearranging the equation y = -3x + 4 into the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. Therefore, the slope of Function C is -3.
Hence, we can see that the slope of Function A is 3/2, which is the least among the given functions. The slope of Function B is -2/3, which is greater than the slope of Function A. The slope of Function C is -3, which is the greatest among the given functions. Therefore, the order of the linear functions based on the rate of change, from least to greatest, would be Function A, Function B, Function C.
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Answers
3pi*180/pi
The pi's cancel out and you are left with 3*180 or 540°
Hope this helps
Answers
ok
one way is table or
solutions amount x and y
x+y=500
x=25%
y=50%
0.25x+0.5y=0.35(500)
we have
x+y=500
0.25x+0.5y=0.35(500)
0.25x+0.5y=175
solve
multiply second equation by 100
25x+50y=17500
divide everybody by 25
x+2y=700
now we have
x+y=500
x+2y=700
multiply first equation by -1 and add to second equaiton
-x-y=-500
x+2y=700 +
0x+1y=200
y=200
sub
x+y=500
x+200=500
x=300
300L of the 25% and 200L of the 50%
Answers
Answer:
The equation that relates distance, rate, and time is
d = rt
Step-by-step explanation:
u/p +u/q = m, if, p is not equal to -q
Answers
Final answer:
To solve the equation u/p + u/q = m, where p is not equal to -q, we can follow these steps: multiply both sides by pq, factor out the common variable u, and then solve for u by dividing both sides by (q + p) and we getu=mpq/(q+p) .
Explanation:
In this equation, u is a variable and p and q are different values. So, the equation can be rewritten as:
u/p + u/q = m
To solve this equation, we need to get rid of the fractions. We can do this by multiplying both sides of the equation by pq:
uq + up = mpq
Now, we can factor out the common variable u:
u(q + p) = mpq
Finally, we can solve for u by dividing both sides of the equation by (q + p):
u = mpq / (q + p)
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