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N76 [4]
3 years ago
12

A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of th

e water is 4.75 feet. The equation 4.75 = x + (negative 0.25) can be used to find x, the original height of the water in a pool.
What was the original height of the water in the pool in feet?
Mathematics
2 answers:
slavikrds [6]3 years ago
5 0

Answer:

Assuming the leak took 2 hours to fix, the original height of the pool is 5 feet.

Step-by-step explanation:

This is probably the most simple "high school" problem I've seen in a while. All you have to do is move the negative 0.25 to the other side to isolate x. That gives you 4.75 + 0.25, or 5 feet.

xz_007 [3.2K]3 years ago
3 0

Answer:

(B) 5 Feet

Step-by-step explanation:

if water decresed .25 feet it was then .25 feet higher originally.

if the  water is 4.75 feet now you add the .25 compared to that equalling 5 ft.

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Which is not a correct way to rewrite this expression using the distributive
Effectus [21]

Given:

The expression is

(2x^2+4x-7)(x-2)

To find:

The expression which is not a correct way to rewrite the given expression.

Solution:

We have,

(2x^2+4x-7)(x-2)

Using distributive property, we get

=(2x^2)(x-2)+(4x)(x-2)+(-7)(x-2)

=(2x^2)(x)+(2x^2)(-2)+(4x)(x)+(4x)(-2)+(-7)(x)+(-7)(-2)

Using distributive property the given expression can rewritten as:

=(2x^2+4x-7)(x)+(2x^2+4x-7)(-2)

Only the expression in option A is not a correct way to rewrite the given expression because (2x^2+4x-7) is not distributed to (x-2) properly.

Therefore, the correct option is A.

3 0
2 years ago
If the original quantity is 15 and the new quantity is 19, estimate the percent change.
Eddi Din [679]

15 to 19 was about a 27% in increase

3 0
2 years ago
find the value of x of given figure and solve this question step by step plzz help question number D​​
Alinara [238K]

Answer:

x=15 cm

Step-by-step explanation:

The two triangles in the diagram are:

ABC and BDC

First we have to find the third side (hypotenuse) of BDC so that we can use it to find the value of x.

Hypotenuse is the largest side of a triangle which is usually in front of the right angle.

So in BDC

Base = BD =10cm\\Hypotenuse = BC = ?\\Perpendicular = CD = 2\sqrt{11}cm

Applying Pythagoras theorem:

(Hypotenuse)^2  = (Base)^2 + (Perpendicular)^2\\BC^2 = BD^2 + CD^2\\BC^2 = (10)^2 + (2\sqrt{11})^2\\BC^2 = 100+(2^2 * 11)\\BC^2 = 100+(4*11)\\BC^2 = 100+44\\BC^2 = 144\\\sqrt{BC^2} = \sqrt{144}\\BC = 12cm

Solving for triangle ABC

Base = BC = 12 cm\\Perpendicular = AB = 9 cm\\Hypotenuse = AC = x\\

Applying Pythagoras theorem

AC^2 = BC^2+AB^2\\x^2 = (12)^2 + (9)^2\\x^2 = 144+81\\x^2 = 225\\\sqrt{x^2} = \sqrt{225}\\x = 15cm

Hence,

x=15 cm

8 0
2 years ago
Drag the tiles to the correct boxes to complete the pairs
lubasha [3.4K]

Answer:

1.Exponent

2.Variable

3.Linear

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Umm. there are more pairs then tiles?

Step-by-step explanation:

7 0
3 years ago
Please solve in the image
eimsori [14]

Answer:

4

Step-by-step explanation:

The line passes through points (2,0)\,,\,(0,2)

Let (x_1,y_1)=(2,0)\,,\,(x_2,y_2)=(0,2)

Equation of a line passing through points (x_1,y_1)\,,\,(x_2,y_2) is given by y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

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So,

f(x)=y=-x+2

Put x=-2

f(-2)=-(-2)+2=2+2=4

4 0
2 years ago
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