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3 years ago

Simplify the following expression: 4x - 3y + 2z - 3x - y + 3z = ?

Mathematics

1 answer:

nordsb [41]3 years ago

7 0

Add all the like terms together so 4x-3x is x or 1x -3y-y is -4y 2z+3z is 5z so put them all together it's x-4y+5z

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Learning Task 1 An old woman is overweight. Her doctor told her to decrease 35 kilos. If she loss 11 kilos in the 1st week, 9 ki

navik [9.2K]

An arithmetic progression is a number sequence arranged in order, and having a common difference between successive terms

The time it will take the woman to lose 35 kilos is 5 weeks

The reason the above value is correct is as follows:

The given parameters are;

Weight the woman told her doctor to decrease = 35 kilos

Weight loss in the 1st week = 11 kilos

Weight loss in the 2nd week = 9 kilos

Weight loss in the 3rd week = 7 kilos

Required:

The time it will take the woman to lose 35 kilos

Solution;

The table of values is presented as follows;

$\begin{array}{|cc|c|}\mathbf{Week}&&\mathbf{Weight\ \ loss }\\&&\\1&&11\\2&&9\\3&&7\\4&&5\\5 &&3\\&& \\ Total \ weight \ loss&&35\end{array}$

From the above table, the common difference, between each successive weight loss is 2 kilos, therefore, on the 5th week, the weight loss will be 3 kilos (arithmetic progression)

Therefore number of the the total weight loss after 5 weeks is

35 kilos, therefore, if she continues losing weight at the given rate it will take 5 weeks to lose 35 kilos

Learn more about arithmetic progression here:

brainly.com/question/18828482

8 0

3 years ago

Factor each number below. Then use exponents to write each prime factorization. 1) 36 2) 51 3) 32 4) 75

VMariaS [17]

36 is 2*18=2*2*9=2*2*3*3, our 2²*3²
51 is 3*17
32 is 2*16=2*4*4=2*2*2*2*2=2^5
75=3*25=3*5*5=3*5²

8 0

3 years ago

Naomi and Claire are painting a mural. Naomi paints 2 square feet per hour and has already painted 16.5 square feet. Claire pain

sleet_krkn [62]

Answer: 2x+16.5=4x+7.5 is your equation

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Simplify for Y. 9y^3=-21-3x

Hitman42 [59]

Simplifying for y we get $y=-\sqrt[3]{\frac{(7+x)}{3}}$

Step-by-step explanation:

We need to solve for the value of y

$9y^3=-21-3x$

Taking -3 common on right side of equation

$9y^3=-3(7+x)$

Dividing both sides of equation by 9

$y^3=-\frac{3(7+x)}{9}$

$y^3=-\frac{(7+x)}{3}$

Taking cube root on both sides:

$\sqrt[3]{y}=-\sqrt[3]{\frac{(7+x)}{3}}\\ y=-\sqrt[3]{\frac{(7+x)}{3}}$

So, Simplifying for y we get $y=-\sqrt[3]{\frac{(7+x)}{3}}$

Keywords: Simplify the equations

Learn more about Simplify the equations at:

#learnwithBrainly

5 0

3 years ago

The length of a rectangle is 3 more days than than twice its width. The perimeter of the rectangle is 42 centimeters. What is th

Yuliya22 [10]

Solution:

It is given that length of a rectangle is 3 more days than than twice its width. The perimeter of the rectangle is 42 centimeters.

So,

Perimeter of Rectangle = 42 cm

Let Required Breadth of Rectangle be x

Then, Length of Rectangle = 2x + 3

Now, We have ;

Perimeter of Rectangle = 2(l+b)

Perimeter of Rectangle = 2(2x+3+x)

42 = 2(3x+3)

42 = 6x + 6

42 - 6= 6x

36= 6x

x = 6 cm

So, Length of Rectangle = 2x + 3

Length of Rectangle = 2(6) + 10

Length of Rectangle = 22 cm

6 0

4 years ago