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Arisa [49]
1 year ago
10

IVedle Question Help Miranda's financial aid stipulates that her tuition not exceed $1500. If her college charges a $45 registra

tion fee for the term plus $450 per course, what is the greatest number of courses for which Miranda can register? Miranda can register for at most courses. (Your answer should be a whole number.) standing
Mathematics
1 answer:
forsale [732]1 year ago
7 0

Answer:

Therefore, Miranda can register for at most 3 courses.

Explanation:

If x is the number of courses in which Miranda register, the total cost for her tuition will be:

45 + 450x

Because there is a fixed cost of $45 and a cost per course of $450.

Then, this cost should be less than or equal to $1500, so we can write the following inequality:

45 + 450x ≤ 1500

Now, we can solve the inequality for x. Subtract 45 from both sides:

45 + 450x - 45 ≤ 1500 - 45

450x ≤ 1455

Divide both sides by 450:

450x/450 ≤ 1455/450

x ≤ 3.23

Therefore, Miranda can register for at most 3 courses.

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Soybean mean is 14% protein; cornmeal is 7% protein. How many pounds of each should be mixed together in order to get 280-lb mix
Marianna [84]

I have to form a couple of equations in order to solve it.

let the amount of soybean in the mixture be x and that of cornmeal be y

Step-by-step explanation:

x+y = 280

y = 280 - x

x*(14/100) + y*(7/100) = 280*(12/100)

Multiplying the whole equation by 100;

14x + 7y = 3360

in this equation,put y = 280 - x

14x +7 (280-x) = 3360

14x +1960 - 7x = 3360

14x - 7x = 3360 - 1960

7x = 1400

x = 200lbs

y = 280 - x

= 280 - 200

= 80 lbs

Inorder to make a 280lbs mixture having 12% protein, we should mix 200lbs of soyabean and 80 lbs of cornmeal

8 0
3 years ago
Please help!!! I don’t understand!
coldgirl [10]

Answer:

a.

Step-by-step explanation:

Each system has a different purpose. one for the cost, and one for the pounds.

x+y=12 is for the pounds

since each pound of dried fruit cost $6 and each pound of nuts cost $2, and you can only spend $40,

6x+2y=40

7 0
3 years ago
Jason has $0.37 worth of pennies and nickels. He has a total of 13 pennies and nickels altogether. Determine the number of penni
fredd [130]

Answer: Jason has 7 pennies and 6 nickels.

Step-by-step explanation:

Let be "p" the number of pennies that Jason has and "n"  the number of nickels that Jason has.

Set up a system of equations:

\left \{ {p+n=13} \atop {0.01p+0.05n=0.37}} \right.

You can use the Elimination Method. Multiply the first equation by -0.01 and add both equations:

\left \{ {-0.01p-0.01n=-0.13} \atop {0.01p+0.05n=0.37 }} \right.\\................................\\0.04n=0.24\\\\n=6

Susbtitute this value into the first equation and solve for "p":

p+6=13\\\\p=13-6\\\\p=7

4 0
3 years ago
Shamika's grandmother opens an account with a deposit of $5,000 for Shamika as a
Darya [45]

9514 1404 393

Answer:

  B.  $8,144.47

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r)^t

where r is the annual rate compounded annually for t years, applied to principal P.

  A = $5000(1 +0.05)^10 = $8144.47

After 10 years, there will be $8,144.47 in the account.

3 0
3 years ago
Use the area of the rectangle to find the area of the triangle.
Sonja [21]

Answer:

A

Step-by-step explanation:

You find area of rectangle or square and divide it by 2

3 0
3 years ago
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