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Natasha_Volkova [10]
3 years ago
15

Graph the solution set to this Inequality. -2x + 9 < 51 12

Mathematics
1 answer:
tino4ka555 [31]3 years ago
8 0

Answer:

X<-2551.5

Step-by-step explanation:

-2x<5112-9

-2x/-2<5103/-2

x<-2551.5

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An online photo services charge $20 to make a photo book with 16 pages each extra page cost a dollar 75 the cost to ship the com
Alisiya [41]

Answer:

The expression to determine the total cost in dollars is y=25+0.75x.

Step-by-step explanation:

Given:

Service charge to make a photo book = $20

Cost per extra page = $0.75

Cost to ship the complete photo book = $5

We need to write expression to determine the total cost in dollars.

Solution:

Let the number of extra pages be denoted by 'x'.

Also Let the Total cost be denoted by 'y'.

Now we can say that;

Total cost will be equal to sum of Service charge to make a photo book and  Cost per extra page multiplied by number of extra pages and Cost to ship the complete photo book.

framing in equation form we get;

y=20+0.75x+5\\\\y=25+0.75x

Hence the expression to determine the total cost in dollars is y=25+0.75x.

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3 years ago
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Darina [25.2K]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Triangle ABC is equilateral. Find the height of BD
RideAnS [48]

Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.

Line BD is placed in the middle, making D the midpoint of side AC.

knowing this information we can determine that the length of DC is 4 units (half of AC)

since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD

a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)

we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third

4² + b²= 8²

16 + b² = 64

b² = 48

b = \sqrt{48}

b= 4√3 or about 6.928 units

hope this helped

3 0
3 years ago
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Dahasolnce [82]

Answer:

\frac{2 \sqrt{7}  + \sqrt{3}}{3 \sqrt{7} -  \sqrt{3}  }  =  \frac{2 \sqrt{7}  + \sqrt{3}}{3 \sqrt{7}  -  \sqrt{3} } . \frac{3 \sqrt{7} +  \sqrt{3}  }{3 \sqrt{7} +  \sqrt{3}  }  \\  \\  =  \frac{(2 \sqrt{7} + 3)(3 \sqrt{7}  +  \sqrt{3})  }{(3 \sqrt{7}  - 3)(3 \sqrt{7} +  \sqrt{3} ) }  \\  \\  =  \frac{(42 + 2 \sqrt{21} + 9 \sqrt{21}   + 3 \sqrt{21} )}{63 - 3}  \\  \\  =  \frac{42 +  2\sqrt{21}  + 9 \sqrt{21} + 3 \sqrt{21}  }{60}

5 0
3 years ago
Read 2 more answers
after eating at the restaurant 3 people split the bill. Each person paid 27 dollars what was the total of the bill
almond37 [142]

Answer:

The total cost was 81 dollars.

Step-by-step explanation:

If each person had to pay 27 dollars and there was only 3 people, then multiply those 2 numbers together. Then you will get your answer.

7 0
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