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soldi70 [24.7K]
3 years ago
8

Find a number less than 100 that is increased by one-fifth of its value when its digits are reversed.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0

Lets say the number is ab. Its value is 10a + b  

When it is reversed it is 10b + a = 12a+1.2b (from the condition its value should increase 0.2 times).  

11 a = 8.8b  

a/b = 8.8/11 = 0.8/1 = 8/10 = 4/5 ( we do this because a and b should be natural numbers less than 10).  

answer is 45.

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In the equation, y = 0.007x, how many inches of rain falls in 6 minutes?<br>​
djverab [1.8K]

Answer:

X represents the value you can multiply with the slope to get the answer.

y = 0.007x

  = 0.007(6)

  = 0.042

Therefore, 0.042 inches of rain falls in 6 minutes.

7 0
3 years ago
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed
Ivanshal [37]

Answer:

Step-by-step explanation:

In this question, the sample space contains 8 elements and has been given as;

          HHT HHH THH HTH HTT TTT TTH THT

1. For event A:

Outcomes of alternating tail and head = THH HTH HTT THT

                                          = 4 outcomes

Pr(alternating tail and head (with either coming first)) = \frac{4}{8}

                                               = \frac{1}{2}

2. For event B:

Outcomes of no tails on the first two tosses = HHT HHH

                                                   = 2 outcomes

Pr (No tails on the first two tosses) = \frac{2}{8}

                                            = \frac{1}{4}

For event C:

Outcomes of a tail on both the first and the last tosses = THT TTT

                                                       = 2 outcomes

Pr(A tail on both the first and last tosses) = \frac{2}{8}

                                                = \frac{1}{4}

3 0
3 years ago
How do I solve this problem?
lesya [120]

Answer:

4x⁻¹

Step-by-step explanation:

4x + 20 25 - x²

_______ ÷ _______ ↷

x² - 5x [x - 5]²

4[x + 5] [-5 + x][5 + x]

_______ ÷ _______

x[x - 5] [x - 5][x - 5]

So what we did here was factor out ALL the Greatest Common Factors [GCFs] in each denominator and numerator, and since we are dividing vertically AND horizontally, according to this, ALL [x - 5] and [x + 5] cancel each other out and all you are left with is this:

4x⁻¹

OR

\frac{4}{x}

This, according to the Negative Exponential Rule [Reverse], is how you rewrite it as a fraction. You bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM POSITIVE TO NEGATIVE:

b⁻ⁿ = 1\bⁿ

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

4 0
3 years ago
a rectangle has a perimeter of 22 feet. the width is 5 feet less than the length. find the length and width of the rectangle​
alexira [117]

Answer:

the length is 8ft

the width is 3ft

Step-by-step explanation:

Step one:

given

perimter= 22ft

let the length be x

width = x-5

Step two

the expression for the perimeter of a rectangle is

P=2L+2W

substituting our data

22= 2(x)+2(x-5)

open brackets

22=2x+2x-10

collect terms and solve for x

22+10=4x

32=4x

divide both sides by 4

x= 32/4

x= 8ft

the length is 8ft

the width = x-5= 8-5= 3ft

8 0
3 years ago
Joshua spends 25 minutes of each day reading. He reads d days a week. Let m represent the number total minutes of reading a week
Rasek [7]

Answer:

25 x D = Y

Step-by-step explanation:

Example: Say he reads for three days a week.

25 x 3 = 75

or 6 days

25 x 6 = 150

or 4

25 x 4 = 100

4 0
3 years ago
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