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4 years ago

What is the mixed number for 51/9

Mathematics

2 answers:

Setler79 [48]4 years ago

6 0

5 2/3 is the answer to your question

olga_2 [115]4 years ago

5 0

Ok, if you are looking for the mixed number, you just divide the numerator, 51, by the denominator, 9. If you divide 51 by 9, you should get 5, because 9 times 5 equals 45, with 6 remainder. So the mixed number will be 5 6/9.

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3 years ago

What is the volume of a rectangular prism if the length is 10.4 mm the width is 5 mm in the height is 8 mm

algol [13]

Answer:

Step-by-step explanation:

The formula of a volume of a rectangular prism:

$V=lwh$

l - length

w - width

h - height

We have <em>l = 10.4mm</em>, <em>w = 5mm</em>, <em>h = 8mm</em>.

Substitute:

$V=(10.4)(5)(8)=420\ mm^3$

8 0

4 years ago

Find the sum.<br> 2x<br> x2 - 6x + 9 + x2 + 2x - 15

galina1969 [7]

Answer:

$\large\boxed{x^2-6x+9+x^2+2x-15=2x^2-4x-6}$

Step-by-step explanation:

$x^2-6x+9+x^2+2x-15\qquad\text{combine like terms}\\\\=(x^2+x^2)+(-6x+2x)+(9-15)\\\\=2x^2-4x-6$

5 0

3 years ago

If 60% of a car company's sales are from SUVs, and they sell a total of 360 cars that are not SUVs, how many SUVs did they sell?

solong [7]

Answer:

540 SUV's

Step-by-step explanation:

Sales percentage of non SUV's = 100 - 60 = 40%

Let total cars be x

40% of x = 360

$\dfrac{40}{100}*x=360\\\\\\x=360*\dfrac{100}{40}\\\\\\x = 900$

Number of SUV's = Total cars - number of non SUV's

= 900 - 360

= 540

7 0

3 years ago

Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.

Lina20 [59]

Answer:

Step-by-step explanation:

Given:

$f(x) = 4x^2 - 3$

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

$f(3) = 4(3)^2 - 3$

$f(3) = 4(9) - 3$

$f(3) = 36 - 3$

$f(3) = 33$

To find f(9), replace x with 9 in the given function

$f(9) = 4(9)^2 - 3$

$f(9) = 4(81) - 3$

$f(9) = 324 - 3$

$f(9) = 321$

Average rate of change = $\frac{f(b) - f(a)}{b - a}$

Where,

$a = 3, f(a) = 33$

$b = 9, f(b) = 321$

Plug in the values into the formula for average rate of change.

$= \frac{321 - 33}{9 - 3}$

$= \frac{288}{6}$

$= 44$

Average rate of change = 44

3 0

3 years ago