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Hatshy [7]
3 years ago
5

How to simplify 29/15.

Mathematics
1 answer:
Flauer [41]3 years ago
3 0

Answer:

7/5

Step-by-step explanation:

29/15

=3(7)/3(5)   (Cancel both numerator and denominator by 3)

=7/5

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The minimum and maximum temperature on a cold day in Lollypop Town can be modeled by the equation below: 2|x − 6| + 14 = 38 What
enyata [817]
2|x-6|+14=38
\rightarrow2|x-6|=24
\rightarrow|x-6|=12

There are two cases:
1. x-6=12\rightarrow x=18
2. x-6=-12\rightarrow x=-6

So the minimum temperature is -6, and the maximum is 18.
5 0
3 years ago
Read 2 more answers
Let <img src="https://tex.z-dn.net/?f=%5Csf%20a%2Bb%2Ca-b%2Cab%2C%5Cdfrac%7Ba%7D%7Bb%7D" id="TexFormula1" title="\sf a+b,a-b,ab,
Black_prince [1.1K]

Answer:

  • 171/40 or 4 11/40

Step-by-step explanation:

<h3>AP given</h3>
  • a + b, a - b,  ab, a/b
<h3>To find</h3>
  • 6th term
<h3>Solution</h3>

Common difference

<u>Difference of first two</u>

  • d = (a -b) - (a + b) = -2b

<u>Difference of second two</u>

  • d= ab - (a - b)

<u>Difference of last two</u>

  • d = a/b - ab

<u>Now comparing d:</u>

  • -2b = ab - (a - b)
  • ab - a = - 3b
  • a(1 - b) = 3b
  • a = 3b/(1 - b)

and

  • a/b - ab = -2b
  • a(1/b - b) = -2b
  • a = 2b²/(b² - 1)

<u>Eliminating a:</u>

  • 2b²/(b² - 1) = 3b/(1 - b)
  • 2b/(b+1) = -3
  • 2b = -3b - 3
  • 5b = - 3
  • b = -3/5

<u>Finding a:</u>

  • a = 3b/(1 - b) =
  • 3*(-3/5) *1/(1 - (-3/5)) =
  • -9/5*5/8 =
  • -9/8

<u>So the first term is:</u>

  • a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

<u>Common difference:</u>

  • d = -2b = -2(-3/5) = 6/5

<u>The 6th term:</u>

  • a₆ = a₁ + 5d =
  • -69/40 + 5*6/5 =
  • -69/40 + 240/40 =
  • 171/40 = 4 11/40
8 0
3 years ago
What is the second step to solving this equation?<br> 9x - 23 = 49
Anna11 [10]

Answer:

Divide 9 from both sides.

Step-by-step explanation:

The first step to solving this equation is to add 23 to both sides.

9x - 23 (+23) = 49 (+23)

9x = 49 + 23

9x = 72

The second step is to isolate the x and divide 9 from both sides:

(9x)/9 = (72)/9

x = 72/9

x = 8

~

6 0
3 years ago
3. Find the difference.<br> a. 82-(-14)<br> b. -18- (-55)<br> C. -17-44<br> d. 70- (-101)
n200080 [17]

Answer:

A. -68

B. 37

C. -61

D. 171

Step-by-step explanation:

Rule for A, B, D: 2 negatives is the same as addition

(how I did C: add them together then add the negative)

8 0
3 years ago
a package of markers includes 3 black markers and 9 colored markers. What percent of the markers in the package are colored mark
enyata [817]

0.75

just divide 9 by 12

3 0
3 years ago
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