All categories

2 years ago

Drag the expressions to show the order of their quotients from least to greatest

Mathematics

1 answer:

Damm [24]2 years ago

8 0

Answer:

by solving the divisions

Step-by-step explanation:

8/9 ÷ 7/11 = 8/9 × 11/7 = 88/63 = 1.40
19/12 ÷ 3/10 = 19/12 × 10/3 =190/36 = 5.28
19/12 ÷ 1/15 = 19/12 × 15 = 285/12 = 23.75

8/9 ÷ 3/10 = 8/9 × 10/3 = 80/27 = 2.96.

now from the solutions you can get the least to greatest

1.40 , 2.96, 5.28 and 23.75

After getting answer in decimal form change it to fraction like how they set the question

You might be interested in

Which inequality represents the value of x that ensures triangle abc exists?

olasank [31]

Answer:

Option A.

Step-by-step explanation:

According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.

Apply this theorem on each combination.

Case I: $(2x+4)+6x>18$

$8x+4>18$

$8x>14$

$x>\dfrac{14}{8}$

$x>\dfrac{7}{4}$ ...(1)

Case II: $(2x+4)+18>6x$

$2x+22>6x$

$22>4x$

$\dfrac{22}{4}>x$

$\dfrac{11}{2}>x$ ...(2)

Case III: $6x+18>2x+4$

$6x-2x>4-18$

$4x>-14$

$x>-\dfrac{14}{4}$

$x>-\dfrac{7}{2}$ ...(3)

On combining (1), (2) and (3), we get

$\dfrac{7}{4}$

Therefore, the correct option is A.

3 0

3 years ago

In a number with at least two digits, the last number was removed. The resulting number was n smaller than ghe previous one.

BartSMP [9]

Answer:

The largest possible value of n is 11.

(A) is correct option.

Step-by-step explanation:

Given that,

The number with at least two digits,the last number was removed. The resulting number was n smaller than the previous one.

We need to find the largest possible value of n

Using given data,

The smallest number of two digit is 10.

Now, we removed last digit then we get 1 which is equal to 10 divided 10.

So, n = 10

But the largest number of two digit is 99.

We removed last digit then we get 9 which is equal to 99 divided 11.

So, n = 11

Hence, The largest possible value of n is 11.

(A) is correct option.

5 0

3 years ago

Use the four-step definition of the derivative to find f'(x) if f(x) = −4x^3 −1.

guapka [62]

$\stackrel{de finition \textit{ of a derivative as a limit}}{\lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{[-4(x+h)^3-1]~~ - ~~[-4x^3-1]}{h} \\\\\\ \cfrac{[-4(x^3+3x^2h+3xh^2+h^3)-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{[-4x^3-12x^2h-12xh^2-4h^3-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{-4x^3-12x^2h-12xh^2-4h^3-1+4x^3+1}{h}\implies \cfrac{-12x^2h-12xh^2-4h^3}{h}$

$\cfrac{h(-12x^2-12xh-4h^2)}{h}\implies -12x^2-12xh-4h^2 \\\\\\ \lim\limits_{h\to 0}~-12x^2-12xh-4h^2\implies \lim\limits_{h\to 0}~-12x^2-12x(0)-4(0)^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \lim\limits_{h\to 0}~-12x^2~\hfill$