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Sever21 [200]
3 years ago
7

A person walks 2 3 of a mile in 2 9 of a hour. Which complex fraction when simplified will compute the unit rate of miles per ho

ur?
Mathematics
2 answers:
hodyreva [135]3 years ago
5 0

Answer:

3 mi/hr

Step-by-step explanation:

The rate of miles per hour refers to the speed, which is calculated with:

s=\frac{d}{t}

Where:

d=\frac{2}{3}mi

t=\frac{2}{9}hour

Replacing all values, we have:

s=\frac{\frac{2}{3}mi}{\frac{2}{9}hour}=\frac{18}{6} mi/hour\\s=3 mi/hr

<h3>Therefore, the ratio is</h3>

3 mi/hr

GaryK [48]3 years ago
3 0
2/3  /  2/9
= 2/3 * 9/2
=18/6
=3

rate = 3 miles per hour
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There are 70 historical fiction books in the school library. Historical fiction books make up 1/10 of the library's collection.
Gre4nikov [31]

Answer:

There are 700 books in Library Collections.

Step-by-step explanation:

Given:

Number of historical books = 70

The equation used to find the totals number of books in library collection.

\frac{1}{10}b = 70

where b⇒ Total number of books in library collections.

We need to find the Total number of books in library collections.

Solution:

\frac{1}{10}b = 70

Now by solving the above equation we get;

First we will multiply both side by 10 we get;

\frac{1}{10}b \times 10= 70\times 10\\\\b =700

Hence there are 700 books in Library Collections.

6 0
3 years ago
Help please asap
padilas [110]
These are 2 questions and 2 answers:

<span>1. Question 1: The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.

Answer: 5x^2 -3x  -14

Explanation:

You might probe the different pairs of factors given in the answer choices to check wich product is equal to the oirginal polynomial or you can factor from zero.

I will show  you how to factor that polynomial from zero:

1) given: 5x^2 - 3x - 14

2) multiply and divide by the leading coefficient =>

5 [5x^2 - 3x  -14 ]
----------------------
         5

3) Enter the the factor 5 inside the parenthesis:

5.5x^2 - 5.3x - 5.14
--------------------------
              5

4) rearrange conviniently to show (5x) as a common factir of the first two terms

(5x)^2 - 3(5x) - 70
--------------------------
              5

5) factor the numerator using 5x as common term of the two binomials:

(5x  ) ( 5x   ) <----> open the parenthesis
(5x - ) (5x + ) <-----> include the signs
(5x - 10) (5x + 7)  <---> two numbers that add up - 3 and their product is  - 70

=>

(5x - 10)(5x + 7)
---------------------
         5

6) divide (5x - 10) by 5 => x - 2

7) factored expression

(x - 2) (5x + 7)

8) Conclusion: the answer is the option B. (5x + 7) and (x - 2)


2. Question 2.  The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring

Answer: </span><span><span>option C. (2x + 5)(3x - 4)</span>

Explanation:

The procedure is the same of the question 1.

1) given: 6x^2 + 7x - 20

2) multiply numerator and denominator by 6 and rearrange to show (6x) as common factor ot the first two terms =>

(6x)^2 + 7(6x) - 120
--------------------------
              6
3) factor the numerador using 6x as common factor ot two binomials, and simplify:

(6x + )(6x - )
(6x + )(6x - )
(6x + 15) (6x - 8)

=>

(6x + 15)(6x -8)
---------------------
           6

(6x + 15)(6x - 8)
---------------------- =
        3.2

(6x + 15)      (6x - 8)
------------- .  ------------ =
      3                2

(2x + 5)(3x - 4)

4) answer: option C. (2x + 5)(3x - 4)</span>
6 0
3 years ago
What is the distance between the points plotted below? If necessary, round your answer to two decimal places.
34kurt
(-1,1) (6,9)
distance = root (x1-x2)²+(y1-y2)²
so root (-1-6)²+(1-9)²= root 113 or 10.6 ≈11
the answer is B. 11.18 units
8 0
3 years ago
Read 2 more answers
A particle moves along the x-axis so that at any time t&gt;0, its acceleration is given by a(t) = ln(3^t + 1). If the velocity o
Aleksandr [31]

Answer: The answer is 11.630

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
R / 5 - 6 equal negative 1​
Fofino [41]

Answer:

R = 25

Step-by-step explanation:

Given

\frac{R}{5} - 6 = - 1

Multiply through by 5 to clear the fraction

R - 30 = - 5 ( add 30 to both sides )

R = 25

4 0
3 years ago
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