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marta [7]
3 years ago
12

A commander wants to arrange his soldiers in such a way that the number of row is equal to the number of columns. If the total n

umber of soldiers is 2800, find how many soldiers would be left out in this arrangement? Also, find the number of rows in the arrangement.
Mathematics
1 answer:
Alla [95]3 years ago
7 0
96 will be left out and there will be 52 rows
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A candy store owner wants to mix some candy costing $1.25 a pound
maria [59]

The candy store owner should use 37.5 pounds of the candy costing $1.25 a pound.

Given:

  • Candy costing $1.25 a pound is to be mixed with candy costing $1.45 a pound
  • The resulting mixture should be 50 pounds of candy
  • The resulting mixture should cost $1.30 a pound

To find: The amount of candy costing $1.25 a pound that should be mixed

Let us assume that the resulting mixture should be made by mixing 'x' pounds of candy costing $1.25 a pound.

Since the total weight of the resulting mixture should be 50 pounds, 'x' pounds of candy costing $1.25 a pound should be mixed with '50-x' pounds of candy costing $1.45 a pound.

Then, the resulting mixture contains 'x' pounds of candy costing $1.25 a pound and '50-x' pounds of candy costing $1.45 a pound.

Accordingly, the total cost of the resulting mixture is 1.25x+1.45(50-x)

However, the resulting mixture should be 50 pounds and should cost $1.30 a pound. Accordingly, the total cost of the resulting mixture is 1.30 \times 50

Equating the total cost of the resulting mixture obtained in two ways, we get,

1.25x+1.45(50-x)=1.30 \times 50

1.25x+72.5-1.45x=65

0.2x=7.5

x=\frac{7.5}{0.2}

x=37.5

This implies that the resulting mixture should be made by mixing 37.5 pounds of candy costing $1.25 a pound.

Learn more about cost of mixtures here:

brainly.com/question/17109505

4 0
3 years ago
Read 2 more answers
Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per pe
nirvana33 [79]
Ok , with that information we can write the equations
x + y = 6
5x + 4y = 28

Where x = how many people ordered chicken
and y = how many people ordered egg salad

Through elimination , we can set one of the variables in both equations equal so we can eliminate it :

(4)x + (4)y = (4)6
5x + 4y = 28

4x + 4y = 24. equation 1
5x + 4y = 28. equation 2

Now we can subtract the second equation by the first equation and isolate one variable:
equation 2 - equation 1

5x - 4x + 4y - 4y = 28 - 24

x = 4

Now that we discovered our x value ( How many people ordered chicken salad ) , we can apply it to one of the equations and discover y ( how many people ordered egg salad)

x + y = 6
x= 4
4 + y = 6

We can shift 4 to the other side of the equation by subtracting 4 from both sides of the equation:
4 - 4 + y = 6 - 4
y = 2

x=4 and y=2

So the awnser is :
4 people ordered chicken salad and 2 people ordered egg salad!

I hope you understood my brief explanation!!

p.s if you want to know how to use another method to solve these problems ( Substition) , just let me know in a comentary down here
5 0
3 years ago
A2 + 7a + 10 = (a + 5)(a + ? )
Brilliant_brown [7]
a^{2}+7a+10 = (a+5)(a+2)
3 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
RoseWind [281]

Answer:

Increased by a factor of 4

Step-by-step explanation:

The original circumference is:

C1 = 2 * pi * r1

The new circumference is:

C2 = (2 * pi * r2)

"circumference that is 4 times larger than the original"

(2 * pi * r2) = 4 (2 * pi * r1)

Rewriting:

r2 = 4r1

Answer:

The radius of the original circle is:

increased by a factor of 4

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Tony Stark is trying to improve his Iron Man suit by increasing its power. One modification will cost $350 million, of which the
statuscvo [17]
69 Nicce elon musk would be proud
7 0
3 years ago
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