$11.20 is 30% of what number

7nadin3 [17]

$\dfrac{x^2+ax-4}{x+2}+\dfrac{x+b}{x+2}=\dfrac{x^2+ax-4+x+b}{x+2}=\dfrac{x^2+(a+1)x+(b-4)}{x+2}\\\\\dfrac{x^2+(a+1)x+(b-4)}{x+2}=x+1\\\\\dfrac{x^2+(a+1)x+(b-4)}{x+2}=\dfrac{(x+1)(x+2)}{x+2}\\\\\dfrac{x^2+(a+1)x+(b-4)}{x+2}=\dfrac{(x)(x)+(x)(2)+(1)(x)+(1)(2)}{x+2}\\\\\dfrac{x^2+(a+1)x+(b-4)}{x+2}=\dfrac{x^2+2x+x+2}{x+2}\\\\\dfrac{x^2+(a+1)x+(b-4)}{x+2}=\dfrac{x^2+3x+2}{x+2}\iff a+1=3\ \wedge\ b-4=2\\\\\boxed{a=2\ \wedge\ b=6}$

3 0

3 years ago

Read 2 more answers

Help!!!!!!!!!!!!<br> 10 points!!!!!!!!!!

Grace [21]

240÷90= between 2 and 3

170÷60= between 2 and 3

250÷80= between 3 and 4

140÷40= between 3 and 4

170÷70= between 2 and 3

110÷30= between 3 and 4

there we go! :)

4 0

2 years ago

If n represents the amount of songs stored on an MP3 player, analyze the meaning of the expressions n + 7, n - 2, 4n, and n divi

zmey [24]

N + 7 means that he is adding 7 songs to the MP3 player
n-2 would mean he deleted two songs
4n means he has four times the amount of songs
and n/2 means he deleted 1/2 of them

3 0

3 years ago

Help me nowwwwwwwwww

Monica [59]

The angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°

<h3>Angles in a polygon</h3>

From the question, we are to determine the angle measurements that the carpenter needs to cut the carpet to make it fit in his room

The diagram shows a heptagon with two of its angles, a right-angle each, and the remaining angles have equal values, x.

First, we will calculate the sum of angles in a heptagon

The sum of angles in a polygon is given by the formula

Sum of angles in a polygon = (n-2)180°

Where n is the number of sides

For a heptagon, n = 7

∴ Sum of angles in a heptagon = (7-2)180°

= 5×180°

= 900°

Now, considering the given diagram, we can write that

x + x + x + x + x + 90° + 90° = 900°

5x + 180° = 900°

5x = 900° - 180°

5x = 720°

x = 720°/5

x = 144°

Hence, the angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°

Learn more on Angles in a polygon here: brainly.com/question/13263876

#SJP 1

7 0

1 year ago

A hemispherical tank is filled with water and has a diameter of 4 feet. If water weighs 62.4 pounds per cubic foot, what is the

yulyashka [42]

The total weight of the water in a full tank, to the nearest pound is 1056 pounds, if water filled with water in the 4 diameter hemispherical tank and weighs 62.4 pounds per cubic foot.

Step-by-step explanation:

The given is,

A hemispherical tank is filled with water and has a diameter of 4 feet.

Water weighs 62.4 pounds per cubic foot

Step:1

Formula to weight of water is,

= Volume of water tank × weight of water per foot......(1)

Step:2

Formula to find volume of the tank is,

$V = \frac{2}{3} \pi r^{3}$ ...................................(2)

From given, r = Radius of Hemisphere

$r = \frac{d}{2}$

$= \frac{4}{2}$

r = 2 foot

From equation (2),

= $\frac{2}{3}$ × $\pi$ × $2^{3}$

= 16.755 cubic foot

Step:3

From equation (1),

= 16.775 × 62.4 (∵ Water weighs 62.4 pounds per cubic foot )

= 1045.52 pounds ( ∵ $foot^{3}$ × $\frac{pounds}{foot^{3}}$ = $pounds$ )

≅ 1046 pounds

Weight of water in tank = 1046 pounds

Result:

The total weight of the water in a full tank, to the nearest pound is 1056 pounds, if a hemispherical tank is filled with water and it has 4 feet diameter and water weighs 62.4 pounds per cubic foot.

7 0

2 years ago