Answer:
Step-by-step explanation:
So first thing is that slope intercept form is setup like this
y=mx+b
m=slope
b=y intercept
the slope is change in y over change in x
as y goes down 2 x goes up 5
so the slope is -2/5
the y intercept is at (0,-1) so the y intercept is -1
therefore the answer is
have a great day :)
Answer:
multiple choice is worth 2
short response is worth 4
Step-by-step explanation:
23x + 10y = 86
28x + 5y = 76
solve by elimination
multiply the top by -1 and the bottom by 2
-23x + -10y = -86
56x + 10y = 152
add them
33x = 66
x = 2
with x = 2 plug x into one of the equations
23x + 10y = 86
23(2) + 10y = 86
46 + 10y = 86
10y = 40
y = 4
x = 2 and y = 4 so
multiple choice is worth 2
short response is worth 4
9514 1404 393
Answer:
$7.14
Step-by-step explanation:
Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.
p + d + q = 45 . . . . . . . . there are 45 coins in the collection
2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies
p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies
Substituting the last two equations into the first gives ...
p +(p +4) +(2p +5) = 45
4p = 36 . . . . . . . . . . . . . subtract 9
p = 9 . . . . . . . . . . . divide by 4
d = 9 +4 = 13
q = 2(9) +5 = 23
The value of the collection is ...
23(0.25) +13(0.10) +9(0.01) = 5.75 +1.30 +0.09 = 7.14
The coin collection is worth $7.14.
Hello from MrBillDoesMath!
Answer:
10a. YES
10b. YES
10c. NO
10d . YES
Discussion:
If x = 12
10a. Does (3/4) 12 = 9? Does (36/4) = 9 = 9? YES
10b. Does 3x = 36? Does 3(12) = 36 = 36? YES
10c. Does 5x = 70? Does 5(12) = 60 = 70? NO
10d. Does x/3 = 4? Does 12/3 = 4 = 4 ? YES
Thank you,
MrB
