All categories

2 years ago

Daniella is solving 8/9 divided by 4. find her mistake and correct it.

Mathematics

1 answer:

Korolek [52]2 years ago

6 0

Answer:

the answer is 2/9.

Step-by-step explanation:

8/9÷4

= 8/9 × 1/4

= 8/36

=2/9

You might be interested in

Jason had to replace the floor of a triangular portion of his dining room. The portion had a height that was twice as high as th

Eva8 [605]

Answer:

4 feet

Step-by-step explanation:

We know the the area of a triangle can be represented as $\frac{bh}{2}$ .

Since the height is twice the base, we can substitute the value $2b$ in as $h$ in the expression, making it $\frac{b\cdot2b}{2}$ . If the area is 16, we can make the equation

$\frac{b\cdot2b}{2} = 16$

Now to solve for b.

$\frac{2b^2}{2} = 16\\\frac{2b^2}{2}\cdot2 = 16\cdot2\\\\2b^2 = 32\\\\2b^2\div2 = 32\div2\\\\b^2 = 16\\\\b=4$

Hope this helped!

3 0

3 years ago

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

3 0

3 years ago

Please solve them I really need help

Ugo [173]

Answer:

Answers are below

Step-by-step explanation:

12) No because the scale factor is not the same between the two rectangles

13) Yes. TUV is congruent to XYZ. The scale factor is 3/4.

14) Yes. I used SAS to see whether or not the triangles were similar. PQR is congruent to UVW.

15) Yes. I used 14) Yes. I used SAS to see whether or not the triangles were similar. DGH is congruent to FEH.

8 0

2 years ago

WILL MARK BRAINLIEST EASY 6th grade math Use the distributive property to express 36 + 16. *

Aleks04 [339]

Answer:

4 (9+4)

Step-by-step explanation:

its 4(9+4) because we are trying to make 36+16

4(8+5) is the same answer but it would be 32+20

while 4(9+4) would be 36+16

4 0

2 years ago

Read 2 more answers

How many solutions does the following equation have ?

bija089 [108]

There is only one solution

8 0

3 years ago

Read 2 more answers

Daniella is solving 8/9 divided by 4. find her mistake and correct it.​

Daniella is solving 8/9 divided by 4. find her mistake and correct it.