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sveticcg [70]
3 years ago
10

Sam's Fruit Cellar earns a $0.40 profit for each apple that it sells and a $0.40 profit for each banana that it sells. Which exp

ressions show Sam's total profits from selling apples (a) and bananas (b)? Select two that apply. 1 0.40(a+b) 2 0.40a+0.40b 3 0.80(a+b) 4 0.40+a+0.40+b 5 0.40(ab) 6 0.80(ab)
Mathematics
1 answer:
Radda [10]3 years ago
6 0

Answer: 0.40a + 0.40b

Step-by-step explanation:

Total Profit

= P(a,b) = ($0.40a) + ($0.40b),

where a = no. of apples sold and b = no. of bananas sold.

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3 years ago
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The length of a rectangular kitchen floor is 8 feet longer than w, its width. Which expression represents the area of the floor?
Nookie1986 [14]

Answer:

see below

Step-by-step explanation:

We can write the length as w + 8 and since area is length * width our answer is w * (w + 8) = w² + 8w.

7 0
3 years ago
6. A tank contains 100-gallon of pure water. At time t = 0, a solution containing 2 lb of salt per gallon flows into the tank at
SOVA2 [1]

Answer:

The answer is below

Step-by-step explanation:

Let Q represent the amount of salt in the tank at time t.

\frac{dQ}{dt}= flow\ in - flow\ out\\ \\flow\ in=3\ gal/min*2\ lb/gal=6\ lb/min\\\\net\ gain\ in\ tank\ volume=3-4=-1, henceflow\ out= \frac{4Q}{100-t} \\\\\frac{dQ}{dt}= 6-\frac{4Q}{100-t} \\\\\frac{dQ}{dt}+ \frac{4Q}{100-t}=6\\\\The \ integrating\ factor\ is:\\\\IF=e^{\int\limits {\frac{4}{100-t} } \, dt }=e^{-4\int\limits {\frac{-1}{100-t}}=e^{-4ln(100-t)}=(100-t)^{-4}}\\\\Multiplying\ through  \ by\ IF: \\\\(100-t)^{-4}\frac{dQ}{dt}+ (100-t)^{-4}\frac{4Q}{100-t}=6(100-t)^{-4}\\\\

Integrating:\\\\A(100-t)^{-4}=-2(100-t)^{-3}+c\\\\A=-2(100-t)+\frac{c}{(100-t)^{-4}} \\\\at, t=0,A=0\\\\0=-2(100-0)+\frac{c}{(100-0)^{-4}}\\\\c=0.02\\\\A=-2(100-t)+\frac{0.02}{(100-t)^{-4}}

7 0
3 years ago
alex has twice as much money as jennifer. jennifer has $6 less than shannon. Together they have 54$. How much money does each ha
aleksley [76]
54-6 = 48

48/4 (Alex-twice, Jennifer, Shannon)
48/4= 12

Alex- 12 x 2 = $24

Jennifer- 12 = $12

Shannon- 12+6 (the 6 I subtracted 54-6) = $18
3 0
3 years ago
Please Hurryyy
Helga [31]

The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

\rm j^2 = h^2 + i^2 -2hicosC

Triangle HIJ has side lengths h=12, i = 17, j = 7.

Substitute all the values in the formula;

\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8

Hence,  the measure of angle J is 19.8°, and the correct option is D.

Learn more about law cosine here;

brainly.com/question/17289163

#SPJ1

3 0
1 year ago
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