Answer:
2
Step-by-step explanation:
Answer:
a = -4.
Step-by-step explanation:
25(√5)^a * (√5) ^3 = 5√5
25*5^a/2 * 5^3/2 = 5*5^1/2
25*5^a/2 = 5*5^1/2 / 5^3/2
25*5^a/2 = 5^1 *5^1/2 / 5^3/2
25*5^a/2 = 5^3/2 / 5^3/2 = 1
5^a/2 = 1/25 = 5^-2
The bases are equal, so
a/2 = -2
a = -4.
Answer:
Step-by-step explanation:
Simplify 4*(7-c)
4
⋅
(
7
−
c
)
4
⋅
(
7
-
c
)
Apply the distributive property.
4
⋅
7
+
4
(
−
c
)
4
⋅
7
+
4
(
-
c
)
Multiply.
Tap for more steps...
Multiply 4
4
by
7
7
.
28
+
4
(
−
c
)
28
+
4
(
-
c
)
Multiply
−
1
-
1
by
4
4
.
28
−
4
c
28
-
4
c
28
−
4
c
Answer:
The constant of proportionality gives you the price per unit at each store.
Step-by-step explanation:
If you assume that the price (y) is directly proportional to the amount (x) you get, the formula is
y = kx
where k is the constant of proportionality.
k = y/x
k has the units of cost per unit, for example, dollars per ounce.
The fewer the dollars per ounce, the better the deal you are getting.
If store A offers apple sauce at $1.29 for 25 oz and Store B offers apple sauce at $2.89 for 50 oz, which is the better deal?
At store A, k = $1.29/25 oz = $0.052/oz or 5.2¢/oz
At store B, k = $2.89/50 oz = $0.058/oz or 5.8¢/oz
The apple sauce is cheaper at Store A.
Answer:
25 m of cable per minute
Step-by-step explanation:
The unit rate is:
125 m of cable
---------------------- = 25 m of cable per minute
5 minutes
