PLS HELP ME I WILL GIVE YOU BRAINLIEST!

3. A positive number is 56 less than its square. Find the number.

raketka [301]

Answer:8

Step-by-step explanation:

X+56=x^2

X^2-x-56=0

X^2-8x+7x-56=0

X(x-8)+7(x-8)=0

(X+7)(x-8)=0

X+7=0 or x-8=0

X=-7 or x=8

4 0

3 years ago

Sandy pays $120 for 4 violin lessons. How much does she pay for 10 violin lessons?

monitta

Answer:

300$

Step-by-step explanation:

divide 120 by 4 and then mutiply the answer on that by 10

7 0

3 years ago

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Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of theflagpoleat an angle of eleva

torisob [31]

Answer:

$h = 15.163\ meters$

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

$tan(30) = (h - 1.5) / x$

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

$tan(45) = (h - 1.5) / (x - 10)$

So rewriting both equations using the tangents values, we have that:

$0.5774 = (h - 1.5) / x$

$1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)$

From the first equation, we have that:

$x = (h - 1.5) / 0.5774$

Using this value of x in the second equation, we have that:

$h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10$

$h + 8.5 = \frac{ (h - 1.5) }{0.5774}$

$0.5774h + 4.9079 = h - 1.5$

$0.4226h = 6.4079$

$h = 15.163\ meters$

5 0

3 years ago

PLEASE HURRY FIRST ANSWER WILL BE BRAINLIEST can someone translate these word problems to an actual equation?

Reika [66]

Answer:

1). 9 red 6 fancy 2). 50 shirts 20 pants 3). 62 purple 31 red 4). 19 dimes 9 quarters

Step-by-step explanation:

Most are systems of equations. So, they will have more than one equation.

1). x (Red wrapping paper) y (fancy print paper)

x + y = 15

2x + 4y = 42

Solved: x = 9 y = 6

2). x (shirts) y (pants)

x + y = 70

12x + 30y = 1200

Solved: x = 50 y = 20

3). x (purple) y (red)

I ended up dividing 93 by 3 and then multiplying it by 2 for purple and keeping the other third for red. Not quite sure how to fit this into an equation, its just simple math.

Solved: x = 62 y = 31

4). x (dimes) y (quarters)

.10x + .25y = 4.15

x = y - 10

Solved: x = 19 y = 9

3 0

3 years ago

A company policy requires that, for every 50 employees, there must be 3 supervisors. If there are 276 supervisors at the company

Anit [1.1K]

276 divided by 3 = 92

92 times 50 ( number if employees ) = 4,600

3 0

3 years ago

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