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3 years ago

Write this rate as a unit rate. 7/5 —— 2/3 What is the unit rate

Mathematics

1 answer:

stiv31 [10]3 years ago

6 0

Answer:

1.4 ,0.667

Step-by-step explanation:

14/10 or $1\frac{4}{10}$

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Solve pls. dont mind the one i circled ! ty!!!

9966 [12]

Answer:

The answer is B.

Step-by-step explanation:

If this is wrong im very very sorry!

A brainlist would be appreciated! I'm almost an expert!

8 0

2 years ago

A rectangular poster is to contain 882 square inches of print. The margins at the top and bottom of the poster are to be 2 inche

Zinaida [17]

Answer:

L = 23 in

h = 46 in

Step-by-step explanation:

Let call " x " and " y " dimensions of the print area of the poster then:

882 = x*y and y = 882/x

We also know that dimensions of the poster is:

L = x + 2 in and h = y + 4 in

Therefore area of the poster is:

A(p) = ( x + 2 ) * ( y + 4 ) And area as function of x is:

A(x) = ( x + 2 ) * ( 882/x + 4 )

A(x) = 882 + 4*x + 1764 /x + 8

Taking derivatives on both sides of the equation we have:

A´(x) = 4 - 1764/x²

A´(x) = 0 ⇒ 4 - 1764/x² = 0 ⇒ 4*x² - 1764 = 0

x² = 1764 / 4

x² = 441

x = 21 in and y = 882/x y = 42

The second derivative A´´(x) is > 0 ( the second term changes its sign to +) there is a minimum for the function at the point x = 21

As x and y are dimensions of the printing area of the poster, dimensions of the poster are

L = x + 2 = 21 + 2 = 23 in and

h = y + 4 = 42 + 4 = 46 in

4 0

4 years ago

What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?

joja [24]

Answer:

23rd term of the arithmetic sequence is 118.

Step-by-step explanation:

In this question we have been given first term a1 = 8 and 9th term a9 = 48

we have to find the 23rd term of this arithmetic sequence.

Since in an arithmetic sequence

$T_{n}=a+(n-1)d$

here a = first term

n = number of term

d = common difference

since 9th term a9 = 48

48 = 8 + (9-1)d

8d = 48 - 8 = 40

d = 40/8 = 5

Now $T_{23}= a + (n-1)d$

= 8 + (23 -1)5 = 8 + 22×5 = 8 + 110 = 118

Therefore 23rd term of the sequence is 118.

4 0

3 years ago

50 points for this answer

rjkz [21]

Hi Pg1310LisaAwesome,

Solution:

= 2/3 + 1/5

= 10/15 + 3/15

= 13/15

Answer:

13/15

7 0

3 years ago

laura spends 4 hours reading a book that is 76 pages long. what is the average number of pages she read per hour?

Studentka2010 [4]

The average number of pages she reads per hour is 19 pages per hour

<h3>How to determine the average number of pages she read per hour?</h3>

The given parameters are:

Number of pages = 76 pages

Number of hours = 4 hours

The average number of pages she reads per hour is calculated using the following formula

Average = Number of pages/Number of hours

Substitute the known values in the above equation

Average = 76 pages/4 hours

Evaluate the quotient

Average = 19 pages per hours

Hence, the average number of pages she reads per hour is 19 pages per hours