Set up
Let the dimes = d
Let the pennies = p
Let the quarters = q
Equations
You cannot mean that the pennies and dimes have equal numbers. That would mean that each had 21.5 members. Now could you mean that the dime and penny amount could be the same with 43 coins that total 4.00. Four dollars means that you need 40 dimes alone. It must mean that you are including quarters.
p + d + p = 43 (1)
p = d (2)
p +10d +25q = 451 (3)
Note how this last equation = was derived. You have to multiply the dimes by 10 and he quarters by 100 and the total by 100 to get the numbers all in pennies.
Put the results of 2 into 1.
2p + q = 43 (4)
You need to modify equation 3 as well.
p + 10p + 25q = 451
11p + 25q = 451 (5)
Solve the new equations
2p + q = 43 (4)
11p + 25q = 451 (5)
Multiply 4 by 25
25(2p- + q = 43)
50p + 25q = 1075 (6) Subtract (5) from (6)
<u>11p + 25q = 451
</u>39p = 624 Divide by 39
p = 624 / 39
p = 16
Since the pennies and dimes are equal there are 16 dimes
p + d + q = 43
16 + 16 + q = 43
32 + q = 43
q = 11
Check
16 + 10*16 + 11*25 = ?
16 + 160 + 275 = ?
451 = ?
Nice problem. Thanks for posting.
Answer:
2/5 or .4
Step-by-step explanation:
basically look at the points where the line meets the graph. two points would be 0,20 and 50,40. then count the amount that it changes vertically and then horizontally. +20vertical +50 horizonal giving the slope 20/50. this can then be simplified to 2/5 or the equivalent number .4
Answer:
Not totally sure if i'm reading the question right buuuut;
the answer is (I think) a poplar would reach 40 feet high in 5 years, while the red maple would reach the goal in 8.
Step-by-step explanation:
using division, 40/8 = 5 years
40/ 5 = 8 years.
like I said, not positive I read the question correctly but I hope this helps xx have a nice day :)
First you do 7.9/ 1/4, that gets you 1.975. that is how much blue paint there is. Then you do 7.9-1.975= 5.925, which is how much white paint she used. So in total she used 1.975 pints of blue paint, and 5.925 pints of white paint.
Answer:
y = - 1/4 x + 1
Step-by-step explanation:
Find two convenient integer coordinates like -4,2 and 4, 0
use these points to calculate the slope to be -1/4
intercept is b = 1
y = -1/4 x + 1
