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Vera_Pavlovna [14]
2 years ago
10

What is the inequality for 5(x+3)−8<17

Mathematics
1 answer:
butalik [34]2 years ago
8 0

Answer:

x< 2

Step-by-step explanation:

We are given the inequality;

5(x+3)−8<17

First we take 8 to the other side;

5(x+3)<17 + 8, notice the sign changes like with an equation

Opening the brackets;

5x + 15 < 25

We then take 15 to the other side;

5x < 25 -15

5x < 10

  x < 2

Thus, the solution of the inequality is x< 2

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What is the total area of this composite figure rounded to the nearest hundredth?
Alex777 [14]

Answer:

39.53 ft^2

Step-by-step explanation:

We can find the area of the rectangle

A = l*w

   = 12*3 = 36

And the area of the semicircle

A = 1/2 pir^2

The diameter is 3, the radius is 3/2

   =1/2 pi* (3/2)^2

   = 1/2 *3.14 * 9/4

3.5325

Add the two areas together

36+3.532539.5325

Rounding to the nearest hundredth

39.53 ft^2

5 0
3 years ago
What two numbers have a sum of 217 and a <br> difference of 85?
Setler [38]

Answer:

the two numbers are 151 and 66

Step-by-step explanation:

x+y =217

x-y = 85

add the two equations

x+y =217

x-y = 85

-------------

2x = 302

divide by 2

2x/2 = 302/2

x = 151

now find y

x+y =217

151+y =217

subtract 151 from each side

y = 217-151

y =66

8 0
3 years ago
Please help!!! Thanks
salantis [7]

Answer:

Option 2

Step-by-step explanation:

it easy Add them all up and then you get 47/16 then divide them and convert it to mixed number and then you get 2 15/16

8 0
2 years ago
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Find the 14th term of the geometric sequence 5 -10 20
Anna [14]

Answer:

  a14 = -40,960

Step-by-step explanation:

The sequence has a first term of 5 and a common ratio of -10/5 = -2, so the n-th term is given by ...

  an = a1·r^(n-1)

  an = 5·(-2)^(n-1)

The 14th term is then ...

  a14 = 5·(-2)^(14-1) = -5·2^13 = -5·8192

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7 0
3 years ago
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How do you write 20% as a decimal
77julia77 [94]

Answer:

0.2

Step-by-step explanation:

20/100=0.2


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3 years ago
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