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vesna_86 [32]
3 years ago
5

DeMarcus says the number 24 / 6 belongs only to the set of rational number explain his error

Mathematics
1 answer:
prohojiy [21]3 years ago
5 0
24/6 is not a proper fraction. First of all, it can be simpified: both numbers can be divided by 6:


24/6=4
6/6=1

so 24/6 is equal to 6/1, which is equat to 6!!!!


so 24/6 is actually also a natural number and an integer.
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Find the sale price.<br> Original price: $50<br><br> Discount: 15%<br><br> Sale price: $_____
Bas_tet [7]

Answer:

The new price is 42.50

Step-by-step explanation:

First find the discount

50 *15%

50 *.15

7.5

Subtract this from the original price

50-7.5

42.50

The new price is 42.50

4 0
2 years ago
Y varies directly as x and inversely as z. y=100 when x=5 and z=10. Find y when x=3 and z=60.
Vinvika [58]

Answer:

10

Step-by-step explanation:

Formula you are going to use: y=\frac{kx}{z}

you will use k to help you resolve for y :)

  1. y=\frac{kx}{z}
  2. 100=\frac{5k}{10}
  3. 100=\frac{k}{2} (multiply by 2 to cancel the fraction)
  4. 200 = k

Now you will replace k with 200 :)

  1. y=\frac{kx}{z}
  2. y=\frac{3(200)}{60}
  3. y=\frac{600}{10}
  4. <u>y = 10</u>
  • Hope it helps you  :)
4 0
3 years ago
18. Simplify this expression: 19 – (-8) - (-14) = ?<br> А, 41<br> В. 25<br> с. -3<br> D. -7
bearhunter [10]
<h3>Answer:</h3>

Letter A= 41

Step-by-step explanation:

19−(−8)−(−14)

=27−(−14)

Answer =41

Brainliest please

Good Luck

7 0
3 years ago
Read 2 more answers
If the integral from 0 to pi/2 of sec^2 (x/k) dx = k find k, where 0 &lt;= k &lt;= pi.
Alborosie

Answer:

k = 2

Step-by-step explanation:

Integral is [k×tan(x/k]

If its equal to k,

k×tan(x/k) = I

tan(x/k) = 1

x = pi/2 upper limit

x = 0 lower limit

tan(pi/2k) - tan(0) = 1

pi/2k = pi/4

So, k = 2

6 0
3 years ago
Find the exact value of sec (theta) if cot (theta) = -2 and the terminal side of theta lies in quadrant IV.
zmey [24]
We know that
<span>sec (theta)=1/cos (theta)

</span><span>cot (theta) = -2
cot (theta)=cos (theta)/sin (theta)
</span>cos (theta)/sin (theta)=-2----> squaring-----> cos² (theta)/sin² (theta)=4
<span>remember that
sin</span>²(theta)+cos²(theta)=1
sin² (theta)=1-cos² (theta)
substitute
 cos² (theta)/[1-cos² (theta)]=4
cos² (theta)=4*[1-cos² (theta)]-----> cos² (theta)+4 cos² (theta)=4
5*cos² (theta)=4-----> cos² (theta)=4/5----> cos (theta)=2/√5
cos (theta)=(2√5)/5-----> is positive  (IV quadrant)
sec (theta)=1/cos (theta)----> √5/2

the answer is
sec (theta)=√5/2

8 0
3 years ago
Read 2 more answers
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