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Butoxors [25]
2 years ago
5

Which number can be written as a fraction and is therefore Rational?

Mathematics
1 answer:
djverab [1.8K]2 years ago
6 0

Answer:

0.89898989.... is the correct answer

Fraction form: \frac{89}{99}

Step-by-step explanation:

0.89898989.... is the correct answer because it can be written as \frac{89}{99} in the simplest form. and 0.89898989.... is rational because it is a repeating number.

Any rational number is a number that can be written as a fraction, a repeating decimal, a whole number, an integer, etc. As long as the number is a number with infinite digits like π.

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A typical person has an average heart rate of 70.0 70.0 beats/min. Calculate the given questions. How many beats does she have i
harina [27]

Answer:

a) 2.2 × 10⁸ beats

b) 2.20 × 10⁸ beats

c) 2.207 × 10⁸ beats

Step-by-step explanation:

Data provided in the question:

Average heart rate of a typical person = 70.0 beats/min

Now,

In the given cases, the significance is on the significant figures after the decimal

Therefore,

the answer is will be provided accordingly

Now,

a) Time = 6.0 years

[since 1 significant figure after decimal. answer will be give in  1 significant figure after decimal ]

time in minutes = 6.0 × 365 × 24 × 60

= 3.1 × 10⁶ minutes

Total beats = Average heart rate × Time

= 70 × 3.1 × 10⁶

= 2.2 × 10⁸ beats

b)  Time = 6.00 years

[since 2 significant figure after decimal. answer will be give in 2 significant figure after decimal ]

time in minutes = 6.00 × 365 × 24 × 60

= 3.15 × 10⁶ minutes

Total beats = Average heart rate × Time

= 70 × 3.15 × 10⁶

= 2.20 × 10⁸ beats

c) Time = 6.000 years

[since 3 significant figure after decimal. answer will be give in 3 significant figure after decimal ]

time in minutes = 6.000 × 365 × 24 × 60

= 3.154 × 10⁶ minutes

Total beats = Average heart rate × Time

= 70 × 3.154 × 10⁶

= 2.207 × 10⁸ beats

8 0
3 years ago
A boy has only dimes and quarters in his piggy bank. if he has 70 coins worth 12 dollars and 40 cents altogether, how many quart
dlinn [17]

Let us bear in mind the equivalent value of these coins: 

One dime = $0.10 

One quarter = $0.25 

Let x = number of dimes 

        y<span> = number of quarters</span> 

Since the boy has 70 coins in total, we can say that: 

<span>x + y = </span><span>70 </span>(can be written as x = 70 – y) 

Since the boy has a total of $12.40, we can say that: 

0.10x + 0.25y = 12.40 

To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y) 

0.10(70 – y) + 0.25y = 12.40 

7 – 0.10y + 0.25y = 12.40 

0.15y = 5.40 

y = 36 

X = 70 – 36 

X = 34 

Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span> 

34 dimes = $3.40 

36 dimes = $9.00 

<span>Total           </span><span>$12.40</span>

7 0
3 years ago
Read 2 more answers
Please provide an answer
Igoryamba

Answer:

Step-by-step explanation:

The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).

Use the opposite angles in an inscribed quadrialteral theorem,

<A + <C = 180

Substitute,

14x - 7 + 8z = 180

Simplify,

22z - 7 = 180

Inverse operations,

22z = 187

z = \frac{187}{22}

Simplify,

z = \frac{17}{2}

Now substitute the value of (z) into the expression given for the measure of angle (<B)

<B = 10z

<B = 10(\frac{17}{2})

Simplify,

<B = 85

Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)

<B + <D = 180

Substitute,

85 + <D = 180

Inverse operations,

<D = 95

8 0
2 years ago
Read 2 more answers
What is the value of x?<br><br> Enter your answer, as a decimal, in the box.
Rudiy27
49.5 / 71.5 = x / 97.5
x = 49.5 * 97.5 / 71.5
x = 67.5

answer
x = 67.5 ft
3 0
3 years ago
Read 2 more answers
Need help ON THESE TOO PLEASE WILL MARK BRAINLY
LenKa [72]

Answer:

1)

angle 2WZX = angle ZYX ( Since all angles and sides of a rhombus are equal)

ZYX = 2 x 29.5

59

2)

4x - 10 =90 (since all angles of a rhombus intersect at 90°)

x=90+10/4

x=100/4

x=25

hope this helps

5 0
3 years ago
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