Penny reads around 10 pages in 1/2 hours, What is the unit rate for pages per hour? For hours per page?

Use the drop-down menus to compare −2.25 and −3.

Kisachek [45]

-2.5>-3 because the bigger a negative number is like -15,-18, etc the smaller it’s value actually gets so -2.5 is greater because it is closer to 0 on a number line.

5 0

3 years ago

Read 2 more answers

Simplify (x − 4)(2x2 + 3x − 5).

xeze [42]

The simplified form of given expression is $2x^3-5x^2-17x+20$

Solution:

Given that we have to simplify the expression

Given expression is:

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

We can simplify the expression by multiplying each term in first bracket with each term term in second bracket

$\rightarrow (x-4)(2x^2+3x-5)$

$\rightarrow (x)(2x^2)+(x)(3x)+(x)(-5)-4(2x^2)-4(3x)-4(-5)$

Simplify the above expression by multiplying the numbers in each term and adding the coefficients of like variables in each term

$\rightarrow 2x^3+3x^2-5x-8x^2-12x+20$

Combine the like terms

$\rightarrow 2x^3+3x^2-8x^2-5x-12x+20$

$\rightarrow 2x^3-5x^2-17x+20$

Thus the expression is simplified

5 0

3 years ago

Regal theater in Tikahtnu sold 548 tickets to Moana on Sunday. A adult’s ticket was $6.50 while a child’s ticket was $3.50. In t

irga5000 [103]

Regal theater sold 321 adult tickets and 227 children tickets.

Step-by-step explanation:

Given,

Cost of each adult ticket = $6.50

Cost of each child's ticket = $3.50

Total tickets sold = 548

Total worth of sold tickets = $2881

Let,

x represent the number of adult tickets sold

y represent the number of child tickets sold

According to given statement;

x+y=548 Eqn 1

6.50x+3.50y=2881 Eqn 2

Multiplying Eqn 1 by 6.50

$6.50(x+y=548)\\6.50x+6.50y=3562\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(6.50x+6.50y)-(6.50x-3.50y)=3562-2881\\6.50x+6.50y-6.50x-3.50y=681\\3y=681$

Dividing both sides by 3

$\frac{3y}{3}=\frac{681}{3}\\y=227$

Putting y=227 in Eqn 1

$x+227=548\\x=548-227\\x=321$

Regal theater sold 321 adult tickets and 227 children tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

6 0

3 years ago

In triangle abc, we have angle bac = 60 degrees and angle abc = 45 degrees. the bisector of angle a intersects line b at point t

Helen [10]

In my estimations you have a triangle with 2 angles and an altitude or height. You have to find the base of the triangle in order to find the area. I set up the triangle and sine the 60 degree angle was bisected I know that the vertex angle is 30 in my right triangle. I used the tangent ratio of 30 to find the base of that triangle and then multiplied it by 2 to get that the whole base measure is 27.71281292. Then I multiplied it by the height I was given of 24 and divided the whole mess in half to get the area. 332.553 units squared.

4 0

3 years ago

Factorise x^3+3x^2y+3xy^2+y^3

Nesterboy [21]

Answer:

(x + y)³

Step-by-step explanation:

use (a + b)³ = a³ + 3a²b + 3ab² + b³

x³ + 3x²y + 3xy² + y³ =

= (x + y)³

7 0

3 years ago