First you get figure out that Tara must have 1/3 of the shells from the other two ratios. Then you learn that 76 is 1/3 of the shells, therefore there must be 76*3 or 228 shells total.
<em>28x + 8</em>
- Step-by-step explanation:
<em>Hi there ! </em>
<em>Perimeter = sum of the sides</em>
<em>P = (2x + 8) + (25x - 3) + (3 + x)</em>
<em>= 2x + 25x + x + 8 - 3 + 3</em>
<em>= 28x + 8</em>
<em>Good luck ! </em>
Answer:
2a^2b^3 ^3squareroot4a
Step-by-step explanation:
Answer:
3/6 or 1/2
Step-by-step explanation:
⇒ out of 6 blocks 3 are shaded so, it will be 3/6
⇒ out of 6 blocks 3 are shaded (3 is half of 6) so, it will be 1/2
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.
