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Feliz [49]
2 years ago
12

Check each set that includes the number shown.

Mathematics
1 answer:
zavuch27 [327]2 years ago
7 0

Answer:

Fourth option.

Sixth option.

Step-by-step explanation:

We know that:

- Any number you can find on the number line, is a Real number.

- Integers contains positive numbers, negative numbers and zero. Every Integer is a Rational number.

- A Rational number is that number that can be written in the following form:

\frac{a}{b}

Where "a" and "b" are integers (b\neq 0).

- An Irrational number cannot be written as a simple fraction.

- A Whole number is any of the numbers {{0, 1, 2, 3...}}. Every Whole number is a Rational number.

- Natural numbers contain  the set of positive integers{{1, 2, 3...}} or to the set of nonnegative integers {{0, 1, 2, 3...}}, Every Natural number is a Rational number.

 Based on this, since \frac{5}{9} is in the form \frac{a}{b} where a=5 and b=9, it is a Rational Number and therefore a Real number.

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Explain how to resolve this problem. there are 13 books.some books cost $9 each and the rest cost $8 each. A total of $108 spent
Katen [24]
X=one type that cost 9
y=one type that cost 8

total books=type1+type2
total books=13
x+y=13

the total cost=cost of each added together
cost of each=number of books times cost per book
total cost=108
9x+8y=108


we have
x+y=13
9x+8y=108
solve for x and y

multiply first equation by -8 and add to first equation
-8x-8y=-104
<u>9x+8y=108 +</u>
x+0y=4

x=4
subsitute
x+y=13
4+y=13
minus 4
y=9

4 of the $9
9 of the $8

thats how to solve
6 0
2 years ago
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1 decimeter on the map represents 100 meters on the ground. The scale ratio is 1 to ___.
balandron [24]
1 dm represents 100 m implies that 10 cm represents 100 m, so the scale is 1 : 10, that means that 1 cm is 10 m in the map.
4 0
2 years ago
Read 2 more answers
The graph of f(x) is shown.
diamong [38]

Answer:

the awnser is A

Step-by-step explanation:

4 0
2 years ago
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Gabi is working on another backyard project. She is building a fence to keep deer out of her garden. One side of her garden is a
nydimaria [60]

Answer:

  • length: 14 feet , width: 43 feet, or
  • length: 86 feet, width: 7 feet

Both solutions are valid.

Explanation:

1. First assumption is that the shape of the fence is <u>rectangular</u>.

2. Second, assum the length parallel to the wall measure y feet, so the other two lengths, y, together with x will add up 100 feet

  • 2x + y = 100

3. The, the area of the fence will be:

  • length × width = xy = 600

4. Now you have two equation with two variables which you can solveL

  • Solve for y in the first equation: y = 100 - 2x
  • Substitute the value of y into the second equation: x (100 - 2x) = 600

5. Solve the last equation by completing squares:

  • Distributive property: 100x - 2x² = 600
  • Divide both sides by - 1: 2x² - 100x = - 600
  • Divide both sides by 2: x² - 50x = -300
  • Add the sequare of the half of 50 to both sides: x² - 50x + 625 = 325
  • Factor the left side: (x - 25)² = 325
  • Square root both sides: x - 25 = ± 18.028
  • Clear x: x = 25 ± 18.028
  • x = 43.028 ≈ 43 or x = 6.972 ≈ 7

Both values are valid,

If x = 43 , then y = 600/43 = 14

If x = 7, then y = 600/7 = 86

Thus, the lenght and width of the fence may be:

  • 43 feet (width) and 14 feet (length), or
  • 7  feet (width) and 86 feet (length).
3 0
2 years ago
Rui is a professional deep water free diver.
Vladimir [108]
The correct question is 
<span>Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=1/2x^2 -10x What is the lowest altitude Rui will reach?

we have that
</span>d(x)=(1/2)x² -10x

we know that
the function is quadratic (a parabola) 
so
<span>the lowest altitude (depth) is the vertex
</span>
using a graph tool
see the attached figure

the vertex is the point  (10,-50)
that means
His altitude (in meters relative to sea level), 10 seconds after diving is 50 meters under the sea level

therefore
the answer is
<span>the lowest altitude is 50 meters under the sea level</span>

5 0
2 years ago
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