All categories

3 years ago

Two positive improper fractions are multiplied. Is the product sometimes, always or never less than 1. explain

1 answer:

6 0

<span>Given situation : 2 improper fraction is multiplied. Now is the product always more than than 1?
Yes, the product is always more than 1. Because take note that in improper fraction, the numerator is always higher compare to the denominator of the given fraction. That means when you divide the numerator from the denominator, the answer would always be more than 1.
Example:
=> 5 / 4 x 4 / 2
=> 20 / 8 or equals to 5/2
now divide
=> 5 / 2
=> 2 1/2

</span>

You might be interested in

The cost of catering a dinner is $11.95 per person plus $25 for delivery and setup. Which statement is true about the graph of t

valentinak56 [21]

The answer is B.) The horizontal asymptote y = 11.95 represents that the cost per person approaches $11.95 as the number of people increases.

6 0

3 years ago

Read 2 more answers

two dice are rolled write the sample space and number of sample points also write events and number of sample points in the even

Pie

Answer:

S={(1,),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),}n(S)=36

E = { (1,1), (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), (4,1), (4,3), (5,6), (6,1), (6,5)}, n(E) = 15

Step-by-step explanation:

thats the answer

3 0

3 years ago

A 90-day simple interest loan in the amount of $2350 will be paid in full in the amount of $2500 . Find the rate of the loan.

ivolga24 [154]

Answer:

The rate of simple interest is 25.89 %

Step-by-step explanation:

Given as :

The principal = $2350

The Amount = $2500

The time period = 90 days = $\frac{90}{365}$ year = 0.2465 year

Let The rate of interest = R %

So, Interest = Amount - Principal

Or, Interest = $2500 - $2350 = $150

<u>From Simple Interest method </u>

Simple Interest = $\frac{Principal\times rate\times Time}{100}$

Or, $150 = $\frac{$2350\times rate\times 0.2465 }{100}$

or, $150 × 100 = $579.275 × Rate

So, Rate = $\frac{15000}{579.275}$

∴ Rate = 25.89 %

Hence The rate of simple interest is 25.89 % Answer

6 0

3 years ago

by about how much will f(x,y,z) = In root x^2 +y^2 +z^2 change if the point P(x, y, z) moves from P0(2,2,6) a distance of ds = .

konstantin123 [22]

Answer:

$\frac{1}{44} \approx0.0227\hspace{3}units$

Step-by-step explanation:

In order to find the answer we need to calculate the directional derivative:

$D_uf(x,y,z)=\nabla f\bullet u$

$\nabla f =The\hspace{3}gradient\hspace{3}of\hspace{3}f\\u=Unit\hspace{3}vector$

The gradient of f is:

$\nabla f(x,y,z)=\langle\frac{x}{x^2+y^2+z^2}, \frac{y}{x^2+y^2+z^2},\frac{z}{x^2+y^2+z^2}\rangle$

The unit vector can be found as:

$u=\frac{v}{|v|} =\frac{3i+6j-2k}{\sqrt{3^2+6^2+(-2^2)} } =\langle\frac{3}{7} ,\frac{6}{7}, \frac{-2}{7} \rangle$

The directional derivative at the point is:

$D_uf(2,2,6)=\langle\frac{1}{22}, \frac{1}{22} ,\frac{3}{22} \rangle \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22} \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22}$

Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:

$\frac{5}{22} * 0.1=\frac{1}{44}\approx 0.0227\hspace{3}units$

6 0

3 years ago

First chance you get the best marks

garri49 [273]

Answer:

<h2><em><u>First box and last box.</u></em></h2>

Step-by-step explanation:

<h2><em><u>It is the first box.</u></em></h2>

Distribute 7 to the first number

7 * -3/4 = -21/4

-21/4 = 5 -1/4

Distribute 7 to the second number

7 * -3

= -21

Put the numbers together

<h2><em><u>5 -1/4x -21 is the answer.</u></em></h2>

They separated the parenthesis.

So it is still 7 * -3/4

and

7*-3.

Hope this helps,

Kavitha

7 0

3 years ago