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Scorpion4ik [409]
3 years ago
7

What is another way to group the factors? (3x2)x5

Mathematics
2 answers:
vitfil [10]3 years ago
4 0
3x(2x5) . Both of these will answer to 30. Hoped this helped !!
Sergeu [11.5K]3 years ago
3 0

We are given expression:  (3×2)×5.

We can see we have multiplication sign there.

Therefore, we can apply associative property of multiplication.

The associative property of multiplication is :

(a × b) × c = a × ( b × c).

We just need to regroup the multiplications.

On applying associative property of multiplication in (3×2)×5 , we get

3×(2×5).

<h3>Therefore, 3×(2×5) is the another way to group the factor (3×2)×5.</h3>
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Four times the square of a certain number increased by 6 times the number equals 108. Find the number
vodomira [7]
-6 and 4.5
So to do this you’ll make an equation x will represent the number so 4x^2+6x=108 so we want the equation to equal 0 so we can solve it to do that you have to subtract 108 from both sides so it ends up being 4x^2+6x-108=0 we want to isolate the x onto one side and division property allows us to divide both sides by 2 the reason it’s two is because 2 is the biggest divisible number that every number in the equation is divisible by so once you divide every number by two you get 2x^2+3x-54=0 now you have to factor cause but since you only have 3x and nothing else to factor with you have to write 3x as a difference so you could do 2x^2+12x-9x-54=0 so you are complicating the problem so you can factor out 2x from the expression so 2x(x+6)- 9(x+6)=0 the 54 got factored because it’s divisible by 9 that 6 is in replace of the 54 cause if you solved it 9x6 is still 54 next factor out x+6 so (x+6) x (2x-9) =0 so one of the two have to equal 0 so right the equations separately x+6=0 minus 6 from both sides and you’ll get x to equal -6 and 2x-9=0 add 9 to both sides and you’ll get 2x=9 divide both sides by 9 and you’ll get x to equal 4.5 when you plug 4.5 and -6 for x the equation works out
3 0
3 years ago
A cylinder has a diameter of 22 cm and a height of 9 cm. Identify the volume of the cylinder to the nearest tenth. HELP PLEASE!!
OlgaM077 [116]

Answer: 3421.19

Step-by-step explanation:

look up cylinder formula and r= radius which is just the diameter cut in half

7 0
3 years ago
2
rusak2 [61]

Answer:

(1.13, 7.74) and (-4.13, 18.26)

Step-by-step explanation:

This can be solved in two ways:  mathematically and graphically.

<u>Graphing</u>

Plot both lines and find where they intersect.  See the attachment.

The intersection points are (1.13, 7.74) and (-4.13, 18.26)

<u>Mathematical</u>

y + 2x = 10

y = 10 - 2x

y = 3x² + 7x - 4

10 - 2x = 3x² + 7x - 4

3x² + 9x - 14 = 0

Solve this using the quadratic equation:

x = 1.13 and -4.13

Use these two values of x to find y:

y = 10 - 2x

y = 10 - 2(1.13)

y = 7.74

y = 10 -2x

y = 10 -2(-4.13)

y =  18.26

The two points are:

(1.13, 7.74) and (-4.13, 18.26)

7 0
2 years ago
0.005680 is how much greater than 0.0004359
Lesechka [4]

Answer:

Answer is: 0.0052441

8 0
3 years ago
Read 2 more answers
A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
cupoosta [38]

Answer:

\displaystyle y=-\frac{1}{2}x+1

Step-by-step explanation:

The equation of any line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Two points are given: (-6,4) and (-2,2). Calculating the slope:

\displaystyle m=\frac{2-4}{-2+6}=\frac{-2}{4}=-\frac{1}{2}

The equation of the line is, so far:

\displaystyle y=-\frac{1}{2}x+b

To calculate the value of b, we use any of the given points, for example (-6,4):

\displaystyle 4=-\frac{1}{2}(-6)+b

\displaystyle 4=3+b

Solving:

b = 1

The equation of the line is:

\boxed{\displaystyle y=-\frac{1}{2}x+1}

We can see none of the choices is correct.

8 0
3 years ago
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