2 years ago

Find the term that must be added to the equation x2−10x=1 to make it into a perfect square

Mathematics

1 answer:

adoni [48]2 years ago

6 0

Answer:

Step-by-step explanation:

If you add 25 to both sides, you get

x^2-10x+25=26.

Now, you can simplify the left side into a perfect square

(x-5)^2=26

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To raise money for new uniforms, the band boosters sell t-shirts and hats. The cost and sale price of each item is shown. The bo

Mila [183]

Found the problem:
Item Cost Sales Price
T-shirt 6 10
hats 4 7

Let x = t-shirts, y = hats

6x + 4y = 2,000
10x + 7y = 3,375

4y = 2000 - 6x
y = 2000/4 - 6x/4
y = 500 - 3x/2

10x + 7y = 3,375
10x + 7(500 - 3x/2) = 3,375
10x + 3500 - 21x/2 = 3,375
10x - 10.5x = 3,375 - 3500
-0.5x = -125
-0.5x / -0.5 = -125/-0.5
x = 250 shirts

They will need 250 shirts.

5 0

2 years ago

There are 40 students in a class. Three-fifths (1/5) of the students are boys.

horsena [70]

Answer:

a) 24

b) 16

Step-by-step explanation:

a) Total Students = 40

Boys= 40*(3/5) = 24

b) Total Students= 40

Boys= 24