Answer:
Step-by-step explanation:
Given: A bushel contains 4 pecks and a peck contains 8 quarts.
i.e. A bush = 4 pecks
A peck = 8 quarts
Then, Number of quarts in 1 bush = 4 (8) =32
Let b = number of bushes and q = number of quarts
Number of quarts(q) in b bushes = 32b
hence, required equation:
which describes the relationship between the number of b bushels and the number of q quarts.
Answer:
x=13
Step-by-step explanation:
9^2 * 27^3 = 3^x
We need to get each term with a base of 3
9^2 = (3^2) ^2
We know that a^b^c = a^(b*c)
(3^2) ^2 = 3^(2+2) = 3^4
27^3 = (3^3) ^3 = 3^(3*3) = 3^9
Replacing these in the original equation
3^4 * 3^9 = 3^x
We know that a^b *a^c = a^(b+c)
3^4 * 3^9 =3^(4+9) = 3^13 = 3^x
The bases are the same, so the exponents must be the same
x=13
Answer:
4.08 + 2 = 6.08 years
Step-by-step explanation:
we know that
Simple Interest(S.I.) = (P × R × T) ÷ 100
where, P = Principal = 750
R = Rate = 6%
T = unknown
⇒ S.I. = (750 × 6 × t)÷ 100
⇒ S.I. = 45t
Also, Amount = S.I + Principal
⇒ Amount = 750 + 45t
Now Formula for Compound Interest is:

where A = Amount
=1000
P = Principle
r = rate
t = total number of year
Here, P = 750 + 45t, r = 3.5% , and t = 2.
Putting all these values in above formula:

⇒ 
⇒ t = 4.08
Hence, total time required will be 2 + 4.08 = 6.08 years.
Answer:
A angle 7 is 6 inches
B angle 8 is 7 inches and 5 inches wide
C angle 3 is an obtuse angle, 6 inches and 9 inches wide