Answer:
130 dimes
Step-by-step explanation:
A nickel is worth 5 cents = 0.05n
A dime is worth 10 cents = 0.10d
Taliyah has 174 coins in her collection of dimes and nickels.
n + d = 174
n = 174 - d
The total value of the collection is $15.20.
0.05n + 0.10d = $15.20
We substitute 174 - d for n
Hence:
0.05(174 - d) + 0.10d = 15.20
8.7 - 0.05d + 0.10d = 15.20
- 0.05d + 0.10d = 15.20 - 8.7
0.05d = 6.5
d = 65/0.05
d = 130 dimes
The number of dimes she has in her collection is 130 dimes
A square pyramid and a cube have the same surface area. The length of each side of the base of the square pyramid is 10 feet. The width of the cube is 6 feet. What is the slant height of the square pyramid?
A. 2.9 feet
B. 5.8 feet
C. 8.7 feet
D. 11.6 feet
<h3>B. 5.8 feet</h3>
HOPE THIS HELPS^^
Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
Answer:
12x³+89x²-261x (?)
Step-by-step explanation:
For this equation, I am going to assume you want to find the value of the expression and you're multiplying all the values (since you can't find the value of x with this unless you had an equation).
(x)(4x-9)(3x+29)
(4x²-9x)(3x+29)
12x³+89x²-261x
