Answer:
9h² + 51h + 28
Step-by-step explanation:
(5h + 4)(4h + 7)
=> 9h² + 35h + 16h + 28
=> 9h² + 51h + 28
Therefore, 9h² + 51h + 28 is the simplified expression.
Hoped this helped.
Answer:
5 km
Step-by-step explanation:
From. The question, the triangle formed us a right angled triangle,
h km directly from starting point is the hypotenus, h :
Hypotenus = sqrt(opposite² + Adjacent²)
h = sqrt(4² + 3²)
h = sqrt(16 + 9)
h = sqrt(25)
h = 5 km
Answer:
10100=15700(1-0.075)^x
10100=15700(0.925)^x
divide both sides by 15700
0.925^x=101/157
convert decimal
(37/40)^x=101/157
take the log
x= log 37/40 (101/157)
x= 5.65824
Answer:b
Step-by-step explanation:
Answer:
There are 6 dimes and 9 quarters.
Step-by-step explanation:
Represent the number of dimes and the number of quarters by d and q.
Then d + q = 15, or q = 15 - d.
Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.
Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or
75 - 5d + 2d = 57, or
75 - 3d = 57, or
3d = 18. Thus, there are 6 dimes. Since q = 15 - d, q = 15 - 6 = 9.
There are 6 dimes and 9 quarters.
