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gregori [183]
2 years ago
12

Alexandra has a stand in the marketplace where she sells her cumin for 7.20 per kilogram. If she sells 90 kilograms of cumin her

weekly net profit is 414$. What are Alexandra's weekly expenses?
Mathematics
1 answer:
Drupady [299]2 years ago
8 0

Answer:

$234

Step-by-step explanation:

First we need to define profits. Profits are Income minus Expenses:

P = I - E

We know profits are $414, so:

414 = I - E

We also can calculate income, as it is equal to price by the sales:

I = p*Q

Here she sold 90 kgs at $7.20 b kg. So:

I = p*Q = 7.20 * 90 = 648

So, replacing in profits equation:

414 = I - E

414 = 648 - E

If we sum E in both sides:

414 + E = 648 - E + E = 648

414 + E = 648

Now, subtracting 414 in both sides:

414 + E - 414 = 648 - 414

E = 234

So, her expenses are $234

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Zolol [24]

Answer:

x ≈ -0.90, y ≈ 2.31

x ≈ 1.40, y ≈ 9.19

Step-by-step explanation:

Easiest and fastest way to do this is to graph the systems of equations and trace where the graphs intersect:

3 0
2 years ago
Find the volume of each solid. Round to the nearest hundredth. Show your work
dybincka [34]
Answer is 512 cu.ft.
Volume of a cube is length x width x height
So 8 x 8 x 8 = 512
8 0
1 year ago
I Need help again :)
Nookie1986 [14]
B it’s b I think I did same one
6 0
1 year ago
Read 2 more answers
Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8
goblinko [34]
\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y  = \frac{17}{14} } \atop {x+7y=8}} \right.

To solve this system by substitution, first isolate x in the second equation.

x+7y=8
x+7y-7y=8-7y
x=8-7y

Now, plug this expression (8-7y) for x in the top equation to solve for y.

\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}
3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}
72-63y+8y=17
72-55y=17
-55y=17-72
-55y=-55
y=1

Now that you have y, plug it into the second equation and solve for x.

x+7y=8
x+7(1)=8
x+7=8
x=1

Last step is to plug your x- and y-values in to both equations to check your work.

\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}

\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ;  \frac{1}{3} * \frac{8}{8} = \frac{8}{24}

\frac{9}{24} + \frac{8}{24} = \frac{17}{24}  <--True

1+7(1)=8
1+7=8   <--True

Answer:
x=1 \\ y=1
5 0
3 years ago
A batter hits a baseball 4 feet above the ground with an upward velocity of 59 feet per second. The function h(t) = -16t^2 + 49t
Anit [1.1K]

Answer:

3 seconds

Step-by-step explanation:

when h=7 ft

-16t²+49t+4=7

-16t²+49t-3=0

16t²-49t+3=0

16t^2-48t-t+3=0

16t(t-3)-1(t-3)=0

(t-3)(16t-1)=0

t=3,t=1/16

t=1/16 seconds is the time when it just started.

so reqd.  time=3 seconds.

5 0
3 years ago
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