Answer:
He can make 3 and 2 over 15 bottles of honey with 3 over 8 pound of honey in each bottle.
Step-by-step explanation:
Given:
Sean got = 4/5 pound of honey from its hive
Mass in 1 bottle = 3/8 pound of honey in each bottle.
Calculation he made:
Number of bottle, n × mass = honey got
n = 4/5 ÷ 3/8
= 4/5 × 8/3
= 32/15 bottles from 3/8 pound honey in each bottle.
9514 1404 393
Answer:
Sam is 24; his mom is 48.
Step-by-step explanation:
We can let x and y represent Sam's age and his mom's age, respectively.
y = 2x . . . . . Mom is twice Sam's age
y -12 = x + 12 . . . . Mom's age 12 years ago is the same as Sam's age 12 years from now
__
Substituting for y in the second equation, we have ...
2x -12 = x + 12
x = 24 . . . . . . . . . add 12-x to both sides
y = 2(24) = 48
Sam is 24; his mom is 48.
Answer:
8y^3+6y^2-29y+15
Step-by-step explanation:
the correct expression is
(4y − 3)(2y^2 + 3y − 5)
Given data
We have the expression
(4y − 3)(2y^2 + 3y − 5)
let us open bracket
8y^3+12y^2-20y-6y^2-9y+15
Collect like terms
8y^3+12y^2-6y^2-20y-9y+15
8y^3+6y^2-29y+15
Answer:
Step-by-step explanation:
It is given that in △ABC, ∠ABC=90°, BH is an altitude and AB=9 and AC=12, thus using the Pythagoras theorem in △ABC, we get
Now, From ΔABC and ΔHBC, we have
∠ABC=∠BHC(each90)
∠ACB=∠HCB (Common)
By AA similarity, ΔABC is similar to ΔHBC.
Thus, using the similarity condition, we get
Answer:
The constant of proportionality is 2.50
Step-by-step explanation:
For a weight of 1 lb, the price is $2.50, so the price in dollars is related to the weight in pounds by the constant 2.50.
The constant of proportionality is 2.50 (dollars per pound).
