MATHEMATICS MIDDLE SCHOOL

Can someone please help? Thank you!

Answers

Answer 1

Answer:

Answer:

$(2x(5x+1))/(4x-1)$

Step-by-step explanation:

Given expression:

$((4x^3-12x^2)/(4x^2+7x-2))/((2x^2-6x)/(5x^2+11x+2))$

Consider the numerator and the denominator separately.

Numerator:

$(4x^3-12x^2)/(4x^2+7x-2)\n \n=(4x^2(x-3))/(4x^2+8x-x-2)\n \n=(4x^2(x-3))/(4x(x+2)-(x+2))\n \n=(4x^2(x-3))/((x+2)(4x-1))$

Denominator:

$(2x^2-6x)/(5x^2+11x+2)\n \n=(2x(x-3))/(5x^2+10x+x+2)\n \n=(2x(x-3))/(5x(x+2)+(x+2))\n \n=(2x(x-3))/((x+2)(5x+1))$

The whole expression:

$((4x^3-12x^2)/(4x^2+7x-2))/((2x^2-6x)/(5x^2+11x+2))\n \n \n=((4x^2(x-3))/((x+2)(4x-1)))/((2x(x-3))/((x+2)(5x+1)))\n \n \n=(4x^2(x-3))/((x+2)(4x-1))\cdot ((x+2)(5x+1))/(2x(x-3))\n \n \n=(2x(5x+1))/(4x-1)$

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A salesperson's ratio of successful signups to the number of people called is 0.275 . This month, the salesperson had 55 signups. How many people did the salesperson call this month?

Answers

The main part for understanding this problem lies in the fact that the ratio has been expressed in decimal form. Once that mystery is solved, the problem becomes easy.
Ratio of the successful signups to the number of people attending = 275:1000
The number of people that the sales person successfully signed up = 55
Let us assume the common ratio to be = x
Then
275x = 55
x = 55/275
= 0.2
then
The number of people that the sales
person called up this week = 1000 * 0.2
= 200
So the number of people that the sales person called this week is 200. I hope the procedure is simple enough for you to understand.

55 divided by 0.275 =
200 people
CHECK
55 divided by 200 = 0.275

What is the slope of the line through the points (9,2) (9,2) and (4,10)

Answers

Answer:

8/-5

Step-by-step explanation:

Slope= y2-y1/x2-x1

(10-2)/(4-9)

8/-5

Help number 5. It would mean a lot.

Answers

Hi there!

This gets pretty easy once you understand how to do these kinds of problems. Let's look at the words in the question.

Adison earned 25$. We can push that to the side.
She loaned her friend 18$, which means she took some money away from her first part of it.

25 - 18 = 7$. Now she has 7$ left. (A calculator would be useful to answer these!)

Now, let's put the 7 to the side and check out the rest of the equation. Looks like Adison's grandmother gave her 50 more dollars, and we know that more means to add.

50 + 7 = 57$.

Now, the final part of the question says she ended up with 86$ because she had money before she earned more. To see how much money she had originally, we can subtract 86 from 57.

86 - 57 = 29$.

We now understand that Adison originally had 29$ before earning anymore money.

Hope this helps!

Help please me please

Answers

Answer:

x² + 2x - 48

Step-by-step explanation:

Given

(x - 6)(x + 8)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 8) - 6(x + 8) ← distribute both parenthesis

= x² + 8x - 6x - 48 ← collect like terms

= x² + 2x - 48

The floor of a rectangular meeting room is the same length as the room and is 1/6 the width of the room. What is the width of the raised platform. Length is 7 1/2 and width is 6 2/5.