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Lena [83]
4 years ago
11

B. 4(3x + 2) - 5(7x + 5) I Need Help

Mathematics
2 answers:
CaHeK987 [17]4 years ago
8 0

Answer:

<h2>-23x - 17</h2>

Step-by-step explanation:

4(3x + 2) - 5(7x + 5)      <em>use the distributive property: a(b + c) = ab + ac</em>

= (4)(3x) + (4)(2) + (-5)(7x) + (-5)(5)

= 12x + 8 - 35x - 25          <em>combine like terms</em>

= (12x - 35x) + (8 - 25)

= -23x - 17

irina1246 [14]4 years ago
8 0
Start by using distributive property 4 x 3x and 4 x 2 then -5 x 7x and -5 x 5
Then you would take the total from 4 x 2 and 4 x 3x which equals 12x+8 and subtract it by the total for -5 x 7x and -5 x 5 which equals -35x-25
Next you would combine like terms -35x plus 12x and 8-25
-23x-17 would be your answer
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Given the data set, calculate the median <br> {9, 3, 1, 8, 3, 6}
nexus9112 [7]

Answer:

4.5

Step-by-step explanation:

The median we know is the middle number of a set of numbers. Putting the set in least to great order, we have (1, 3, 3, 6, 8, 9). The middle number here is 3 and 6. We take the mean of 3 and 6, (3+6)/2 which gives us 4.5 and that is our answer.

6 0
3 years ago
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A museum groundskeeper is creating a semicircular statuary garden with a diameter of 23 feet. There will
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Step-by-step explanation:

Hi, to answer this question we have to calculate perimeter of a semicircle:

P = π (d/2) + d

Where d is the diameter

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P = 3.14 (23/2) + 23 = 59.11 feet  

Since each linear foot cost $7.50, we have to multiply that cost by the perimeter.

59.11 x 7.50 = $443.32

Feel free to ask for more if needed or if you did not understand something.

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3 years ago
A 30-meter high building sits on top of a hill. The angles of elevation of the top and bottom of the building from the same spot
Vladimir79 [104]
<h2>A 30-meter high building sits on top of a 151.52 meter high hill.</h2>

Explanation:

According to the given data, we can draw a figure (Please refer the attachment below)

Building's height = 30 meter

Angle of elevation from a spot to the top of the building = 55 degrees

Angle of elevation from the spot to the top of the building = 50 degrees

To find the height of the hill, we need to use the formula,

tan \,\theta = \frac{opposite \,side}{adjacent \,side}

then, tan \,50 = \frac{h}{x}

\Rightarrow x = \frac{h}{tan 50}

\Rightarrow x = \frac{h}{1.192}   .... (1)

Similarly, tan \,55 = \frac{30+h}{x}

\Rightarrow x = \frac{30+h}{tan 55}

\Rightarrow x = \frac{30+h}{1.192}   .... (2)

(1) = (2) becomes

\frac{h}{1.192} = \frac{30+h}{1.428}

[tex]\Rightarrow [tex] 1.428h  = (30 + h)1.192

1.428h  =  35.76 + 1.192h

1.428h - 1.192h = 35.76

0.236h = 35.76

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Therefore, the hill highs 151.52 meter.

4 0
3 years ago
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boyakko [2]

Answer:

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Step-by-step explanation:

3x2-6x+1=0

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