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noname [10]
3 years ago
6

Charlene is a writer going on a trip. She is bringing several copies of her latest book in her suitcase. The suitcase itself wei

ghs 5 pounds, and each book weighs 3 pounds. Her full suitcase can weigh no more than 50 pounds. Explain and defend if Charlene will be allowed to bring 20 books with her. Write an equation or inequality to represent the problem situation.
Mathematics
1 answer:
Leona [35]3 years ago
8 0

Answer:

The answer is 5 + 3x  ≤ 50

Step-by-step explanation:

5 + 3x ≤ 50 - 5

3x ≤ 45

 Divide by 3,  x = 15

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For what power of q is its value 1?​
DedPeter [7]

Answer:

  0, for q ≠ 0 and q ≠ 1

Step-by-step explanation:

Assuming q ≠ 0, you want to find the value of x such that ...

  q^x = 1

This is solved using logarithms.

__

  x·log(q) = log(1) = 0

The zero product rule tells us this will have two solutions:

  x = 0

  log(q) = 0   ⇒   q = 1

If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to <em>any</em> power.

_____

<em>Additional comment</em>

The applicable rule of logarithms is ...

  log(a^b) = b·log(a)

4 0
2 years ago
The measure of an angle is five times the measure of its complementary angle. What is the measure of each angle?
GalinKa [24]

Answer:

150 degrees

Step-by-step explanation:

  1. Let the supplement = x  
  2. So the angle you want is 5x  
  3. Then [x + 5x] = 180 because they are supplementary.  
  4. Solving. 6x = 180. Then x = 30.  
  5. So the angle is 5x = 5×30 = 150 degrees
3 0
2 years ago
You need to purchase rolls of sod grass for a client's lawn, which is 75 feet by 100 feet. The large rolls of sod grass are 116
Nikolay [14]

The number of sod grasses needed is about one and half for the clients lawn

1 1/2 sod grasses

<h3> Area of Rectangle</h3>

Given Data

  • Size of clients Lawn
  • Length = 75 feet
  • Width = 100 feet

Area of client's Lawn = Length * Width

= 75*100

= 7500 square feet

Size of large rolls of sod grass

  • Length = 116 feet
  • Width = 42 feet

Area of large rolls of sod grass  = Length * Width

= 116*42

= 4872 square feet

The number of sod grass needed

= 7500/4872

= 1.53

Learn more about rectangles here

brainly.com/question/25292087

4 0
2 years ago
What is a point-slope equation of the line with slope - 10 that goes through the point (1.4) Ay- 4 = -10(x - 1) By+43-10(x+1) O
weqwewe [10]

Answer:

y-4=-10(x-1)

Step-by-step explanation:

7 0
2 years ago
Find the value of x.
lys-0071 [83]
5x+2=2y+20+24
5x+2=2y+44
-2 -2
5x=2y+42
That's what I got...
8 0
2 years ago
Read 2 more answers
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