Work out the area of a rectangle with base,b= 32mm and perimeter,P= 78mm.

Step-by-step explanation:

[tex] \bf \underline{Solution-} \\ [/tex]

We have to simplify the given expression.

[tex] \rm = \dfrac{ {x}^{a + b} \cdot {x}^{b + c} \cdot {x}^{c + a} }{ {x}^{a} \cdot {x}^{b} \cdot {x}^{c} } [/tex]

We know that:

[tex] \rm \longmapsto {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]

[tex] \rm \longmapsto \dfrac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} [/tex]

Therefore, we get:

[tex] \rm = \dfrac{ {x}^{(a + b) + (b + c) + (c + a)}}{ {x}^{a + b + c} } [/tex]

[tex] \rm = \dfrac{ {x}^{2(a + b+ c)}}{ {x}^{a + b + c} } [/tex]

[tex] \rm = {x}^{2(a + b+ c) - (a + b + c)}[/tex]

[tex] \rm = {x}^{a + b + c}[/tex]

Answer:

The number is 22

Step-by-step explanation:

let x = the number

[tex] \frac{1}{2} x + x - 8 = 25 \\ \frac{1}{2} x + x - 8 + 8 = 25 + 8 \\ \frac{1}{2} x + x = 33 \\ factor \: out\: x \: on \: the \: left \\ x( \frac{1}{2} + 1) = 33 \\ divide \: both \: sides \: by \: \frac{1}{2} + 1 \\ \frac{x( \frac{1}{2} + 1) }{ \frac{1}{2} + 1} = \frac{33}{ \frac{1}{2} + 1} \\ x = \frac{33}{ \frac{3}{2} } \\ x = \frac{66}{3} \\ x = 22[/tex]

let's factor out x from the left hand sid

Answer:

Your answer is the third one or the yellow one.

Step-by-step explanation:

Hope this helps!

Answer:

$1200

Step-by-step explanation:

Let cost of 1 square foot be x

So, Cost of 450 square feet =  450x

We are given that A 450-square-foot apartment in New York City cost $540,000.

So, 450x = 540000

x= [tex]\frac{540000}{450}[/tex]

x= 1200

Cost of 1 square foot = $1200

Hence the price per square foot is  $1200

Answer:

208 students I think that's the answer

Answer:

https://sooddan.zendesk.com

Answer:

3/4 * 120 = 90

3/8 * 120 = 45

Step-by-step explanation:

3/4 of something is the same as multiplying by 0.75 (to do it one way.)

Or you can just divide 120 by 4, then multiply it by 3.

EDIT: I see you're asking for 3/4, then 3/8...

If it's 3/8s you want, it's 45.

Answer:

with what?

Step-by-step explanation:

Answer: x^2+27x+180

Step-by-step explanation: can  i pls have brainliest i need it for my goal

Uhmm,, 132,894?

132,894 ba?

An area model for the area of 1,32,894 units² is shown in the image.

We have to give that,

The standard algorithm is,

642 x 207

Now, for the area model,

Draw a rectangle with a length of 642 units and a width of 207 units.

Then, the Area of the rectangle is,

A = Lenght x Width

A = 642 x 207

A = 1,32,894 units²

Hence, the Area is,

A = 1,32,894 units²

To learn more about the rectangle visit:

https://brainly.com/question/2607596

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Answer:

[tex] 3\sqrt[3]{3} [/tex]

Step-by-step explanation:

First, notice that 81 is divisible by 3.

81/3 = 27

27 is also divisible by 3.

27/3 = 9

9 = 3 * 3

81 = 3 * 3 * 3 * 3

81 = 3^3 * 3

[tex] \sqrt[3]{81} = \sqrt[3]{3^3 \times 3} = 3\sqrt[3]{3} [/tex]

Answer:

Remember that the slope is the change in y/the change in x

Step-by-step explanation:

1. The slope  [tex]\frac{-0.5- 0.5}{3 - (-3)}[/tex]

                  = [tex]\frac{-1}{6}[/tex]

2.  Find "b" which is the y-intercept.  Pick one of the two point and the slope.

     Let use (-3, 0.5) and the slope is -1/6

      y = mx + b

      0.5 = -1/6 (-3) + b                      Solve for b

       3 = 3 + b                                   Multiply each term by 6

       0 = B

3. Write the equation of the line  y = mx + b

                                                       y = -1/6x + 0

Answer:

1. 6+7= 13

2. 6-7= -1

3. 6+7= 13. (- × - = +)

4. -6-7= -13

5. -6-7= -13. (+ × - = -)

_________

[tex] \: [/tex]

1.) 6 + 7 = (5 × 2) + (1 + 2) = 10 + 3 = 13✔

2.) 6 - 7 = (5 - 5) + (1 - 2) = 0 + (-1) = -1✔

3.) 6 - (-7) = 6 + 7 = (5 × 2) + (1 + 2) = 10 + 3 = 13✔

4.) -6 - 7 = (-6) + (-7) = -(6 + 7) = -13✔

5.) -6 + (-7) = -(6 + 7) = -13✔

Answer:

The correct answer would be "$66.85".

i hope  i helped :)

Step-by-step explanation:

Answer:

√108 − 2 √300

6v√3 − 20√3

Step-by-step explanation:

-9×(-87)=783

783÷(-9)=-87

Answer:

0.75m

Step-by-step explanation:

The volume of a prism is:

the area of the cross section × length

In this case the cross section is the circle so the formula is

v = πr²h

volume = 21m³

height or length = 12m

Sub in the values:

21 = πr² × 12

1.75 = πr² (I divided both sides by 12)

0.5570423008 = r² (I divided both sides by π)

r = 0.74635... (I square rooted both sides)

r ≈ 0.75m (to 2 d.p)

Answer:

I would guess it would be 0 but is there a graph or background info

?

Step-by-step explanation:

Answer:

(1,-4)

Step-by-step explanation:

2x+4y=-14

x-2y=9

2x+4y=-14

2(x-2y)=(9)2

2x+4y=-14

2x-4y=18

Add X

4x=4

X=1

Substitute x into any equation

(1)-2y=9

-2y=8

y=-4

____________

[tex] \: [/tex]

100 in exponent 1 - 10 :

Answer:

b = 0

Step-by-step explanation:

4b + 6 = 2 - b + 4

4b + b = 2 + 4 - 6

5b = 6 - 6

5b = 0

b = 0 / 5

b = 0

Answer:

The answer is B.

Step-by-step explanation:

b=0

Answer:

1.5 seconds

Step-by-step explanation:

Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:

340 = -16x² - 4x + 382

0 = -16x² - 4x + 42 (Subtract 340 from both sides)

16x² + 4x - 42 = 0  (Multiply entire equation by -1, "flip" equation)

8x² + 2x - 21 = 0    (Divide entire equation by 2)

(4x + 7)(2x - 3) = 0  (Factor LHS)

4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)

4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)

[tex]x = -\frac{7}{4} =-1.75 . or .x= \frac{3}{2} = 1.5[/tex]

x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.

(hop this helps can I pls have brainlist (crown)☺️)

Answer:

46lb

Step-by-step explanation:

you take twenty five divide by one twenty

Answer:

30lbs your awnser is that 30 pounds

Answer:

Robert sold 10 cards for Mother's Day

Step-by-step explanation:

2% of 500 is exactly like multiplying 0.02 with 500 which is 10

Answer:

175.42

Step-by-step explanation:

surface area of square pyramid is given by:

Area= s^2 + 2(s)(l)

where s is the base and l is the slant height

in given problem, slant height l is not given, so by using Pythagoras theorem finding l:

c^2= a^2 + b^2

    =  8^2 + 4^2

    = 48.49

c     = 6.96348

Now putting values of s=8 and l= 6.96 in first formula

Area= 8^2 + 2(8)(6.96)

     =  64 + 111.41

     = 175.42

!

Answer:

Step 1: Calculate

We calculate the square root of 23 to be:

√23 = 4.79583152331272

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

4.79

Step 3: Round

Round 4.79 so you only have one digit after the decimal point to get the answer:

4.8

To check that the answer is correct, use your calculator to confirm that 4.82 is about 23.

The negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.

Number which are formed by multiplying a number with itself once are called perfect square numbers.

Now the given number is,

negative square root of 23

Thus we have, [tex]-\sqrt{23}[/tex]

So the value of [tex]-\sqrt{23}[/tex]  is -4.79

To round to the nearest tenth, so the digit at the tenth place is 7 and digit at right of 7 is 9 which is greater than 5 so roundup the digit.

Thus we get,
[tex]-\sqrt{23}[/tex] = 4.8

Thus, this point will lie between 4 and 5 and more closer to 5.

Thus, the negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.

Learn more about perfect square here :

brainly.com/question/997406

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Answer:

The price of 3 pounds would be $1.20 per pound and the price of 5 pounds would be $1.05 per pound

So, Five pound would cost 15 cents less than the 3 pounds

Step-by-step explanation:

Divide the price by the pounds

Hope this helps