Answer:
40 pounds of nuts worth $1.60
60 pounds of nuts worth $1.85
Step-by-step explanation:
This is a mixture problem, so see the attachment below:
<u><em>*Sorry if it's unclear, but I hope it helps!</em></u>
Answer:
B?
Step-by-step explanation:
Answer:
X = -3. non-extraneous
Step-by-step explanation:
The given equation is 
We cross multiply to get:
Expand and multiply.
We factor to obtain:
Checking for extraneous solutions
Substitute x=-3 
.....Non-extraneous
Checking for x=6
....Non-extraneous
<h3>Answer:</h3>
a) l = 5 + 2w
b) P = 2(l +w) = 2(5 +2w +w)
c) w = 8 cm, l = 21 cm
<h3>Explanation:</h3>
a) Using w for width, twice the width is 2w, and 5 more than that is 5+2w. This is your expression for l:
... l = 5 + 2w
b) The perimeter is the sum of the lengths of all sides, so is the sum of twice the length and twice the width.
... P = 2(l +w) = 2(5 +2w + w) . . . . substituting for l using the expression of (a)
c) Substituting the given perimeter, we have ...
... 58 = 2(5 +3w) = 10 + 6w . . . . . collect terms, eliminate parentheses
... 48 = 6w . . . . . . . . . . . . . . . . . . subtract 10
... 8 = w . . . . . . . . divide by 6
... l = 5 + 2·8 = 21 . . . . . find length using the formula for it
Dimensions are in centimeters, so we can write the solution as ...
- width = 8 cm
- length = 21 cm
Answer:
Using the Angle Addition Postulate, 15 + 40 = m∠ABC. So, m∠ABC = 55° after simplifying.
Step-by-step explanation:
The Angle Addition Postulate is gotten from angles placed side by side to form a resulting angle that is the sum of all the individual angles.
If D is the interior of ABC then, ABC is split into two parts i.e ABD and DBC, then the measure of ABC is the sum of the individual two parts
m∠ABC = m∠ABD + m∠DBC.
Using the Angle Addition Postulate:
m∠ABC = m∠ABD + m∠DBC
m∠ABC = 15 + 40 = 55°
m∠ABC = 55°
