The length of a rectangle is 3 inches more than three times the width. The perimeter is 62 inches. Find the length and width.

Length in

width. In

Answer:

see below

Step-by-step explanation:

-1.1 x + 6.4 >- 1.3

Subtract 6.4 from each side

-1.1 x + 6.4 -6.4 >- 1.3-6.4

-1.1x > -7.7

Divide each side by -1.1, remembering to flip the inequality

-1.1x/-1.1< -7.7/-1.1

x < 7

There is an open circle at 7 and a line going to the left

Hey there! :)

Answer:

C.

Step-by-step explanation:

Given:

-1.1x + 6.4 > -1.3

Subtract 6.4 from both sides:

-1.1x >  -7.7

Divide both sides by -1.1. Flip the sign because you are dividing by a negative sign.

-1.1x/ (-1.1) < -7.7/(-1.1)

x < 7.

Therefore, C is the correct answer. Since the sign used is < without the equal to, an open circle would be used.

Answer:

[tex]a1 = 9 \\ an = a(n - 1) \times ( \frac{ - 1}{3} )[/tex]

and the answer is 4a + 5

Step-by-step explanation:

the value of a in the second is 1 so 3a + a is 4a

Answer:

Step-by-step explanation:

In a regular polygon, all sides and angles are equal.

So, an equilateral triangle is an example for regular polygon

Answer:

equilateral triangle should be the correct answer

Step-by-step explanation:

Answer:

20160

Step-by-step explanation:

If there is no repeat of the alphabets, the answer will simply be 8! = 40320 (8 words)

but, there is B which repeated 2 times.

So, 8!/2!

Answer:

20160

Step-by-step explanation:

Let's write the word PROBABLY. There are 8 letters in total, but the letter B repeats twice. So, instead of just doing 8! or 1*2*3*4*5*6*7*8, you have to exclude the two B's.

So, you have to do 8! / 2! because the 2! is the two B's.

Hope this helps!! :)

Answer:x=8 Y=-6

Step-by-step explanation:

14-2.5x=1.5x-18

+18. +18

32-2.5x=1.5x

+2.5x =2.5x

32= 4x

Divide 4 to both sides you get

8=x

Y=14-2.5(8)

Y=14-20

Y=-6

Answer:

Step-by-step explanation:

45-37

8x17 = 136

Answer:

28 miles in 7 minutes, 240 miles in an hour

Step-by-step explanation:

We can first simplify the rate to miles per minute. Since the plane goes 12 miles in 3 minutes, we can divide it by 3 to find how much it travels in one minute. 12 divided by 3 is 4 and 3 divided by 3 is 1

The plane travels 4 miles a minute

To find how much it travels in 7 minutes, multiply by 7

4x7 is 28

28 miles in 7 minutes

To find an hour, multiply by 60

4x60= 240

240 miles in an hour

Answer: its c i took the test

Step-by-step explanation:

Answer:

-6634

Step-by-step explanation:

(5m)² - (2n-3m)³ if m=-3 and n=5

= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3

= (-15)^2 - (10 - (-9))^3

= 225 - (19)^3

= 225 - 6859

= -6634

Answer:

p^2 pm pn mn

Step-by-step explanation:

Using the FOIL Method we get this result

p * p

p * n

p * m

m * n

Answer:

Fiona got £48

Step-by-step explanation:

let Sara=x

Pip=3x

Fiona=2(3x)

x+3x+2(3x)=£80

4x+6x=£80

10x=£80

10x/10=£80/10

x=£8

therefore Sara(x) got £8

Pip=3x

=3(8)

=£24

Fiona=2(3x)

=2(24)

=£48.

the formula for the circumference of a cirlce is πd. the diameter is 2r which in this case is 0.5. therefore the circumference is 0.5π, or 1.5708 (rounded)

Answer:

C= 157

Step-by-step explanation:

The formula for the circumference of a circle is 2 · pi · r (radius)

So your problem would look something like this:

C= 2 · pi · r

C= 2 · 3.14 · 25

C= 157 in.

Answer:

x = 20

Step-by-step explanation:

Perimeter = Sum of all sides

Perimeter = (x+4)+(4x)+10x-(10)

Where Perimeter = 294 in.

294 = 15x-6

15x = 294+6

15x = 300

Dividing both sides by 15

=> x = 20

Ok so,

15x-6=your perimeter

15x-6=294

15x=300

300 divided by 15= 20

so x=20

substitute in your values and you should have an answer :)

Answer:

$2.01.

Step-by-step explanation:

Tax paid = 5.5% * 36.60

= 0.055 * 36.60

= 2.013

Answer:

[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

Step-by-step explanation:

[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

The inverse of the linear function, f(x),  f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is  f⁻¹(x) = 3 (x -5) / 5

The inverse of a function is a function that reverses the effect the original function.

Here, we have,

The original function is; f(x) =5x/3 +5

The inverse of f(x) can therefore be found by making x the subject of the equation as follows;

f(x) = 5x/3 +5

f(x) -5 = 5x/3

(f(x) -5) 3 = 5·x

x = (f(x) -5) 3 / 5

x = 3 (f(x) -5) / 5

Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;

f⁻¹(x) =  3 ((x) -5) / 5

f⁻¹(x) = 3 (x -5) / 5

The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.

Learn more on the inverse of a function here: brainly.com/question/29652632

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===================================================

Explanation:

For me, I find it easier to find the exterior angle first. For any convex polygon, the sum of the exterior angles is 360 degrees. When we talk about regular polygons with n sides, each exterior angle is 360/n degrees. In this case, we have a nonagon with 9 sides. So n = 9 is plugged into 360/n to get 360/9 = 40 as the exterior angle measure

exterior angle = 40

We could stop here since we can see the answer must be choice A. But let's keep going. To get the interior angle, we subtract the result we got from 180

interior angle = 180-(exterior angle) = 180-40 = 140

This is because any adjacent pair of interior and exterior angles must form a straight angle of 180 degrees.

--------------------

side note: you could use the formula [tex]i = \frac{180(n-2)}{n}[/tex] to find the measure of the interior angle.

Answer:

the answer is d

Step-by-step explanation:

Answer:

C. 21/26

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Plug in our coordinates:

m = (5 + 16)/(18 + 8)

m = 21/26

Answer:

C. 21/26

Step-by-step explanation:

Slope is determined by the change (or difference) in the y-coordinates divided by the change (or difference) in the x-coordinates.

Here, our y-coordinates are -16 and 5, so:

5 - (-16) = 5 + 16 = 21

Our x-coordinates are -8 and 18, so:

18 - (-8) = 18 + 8 = 26

Now, we divide: 21/26.

The answer is thus C.

~ an aesthetics lover

Answer:

97 degrees

Step-by-step explanation:

Answer: 0.01.

Step-by-step explanation:

Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.

i.e. each place in 5 digit number has 10 choices.

Total ways to make such a number = [tex]10^5=100000[/tex].

If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000  [as 4 and 2 can be put on first and second place in 1 way ]

Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]

Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.

Answer:

4

Step-by-step explanation:

y² − 4y = 3

y² - 2*2*y =3

y² - 2*2*y  + 2² = 3 + 2²

(y - 2)² = 3 + 4

Area of a rectangle is 27 cm²

Given:

Perimeter of a rectangle = 24 cm

Length = 3x

Width = x

p = 2(l + w)

24 = 2(3x + x)

24 = 6x + 2x

24 = 8x

24/8 = x

3 = x 

Width = 3 cm ; Length = 3x = 3(3) = 9 cm

Area = length * width

        = 9cm * 3 cm

Area = 27 cm² 

Answer:

Area of a rectangle is 27 cm²

Step-by-step explanation:

The probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be 4.167%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Trinity created a game that uses 8 cards numbered 1 to 8 and a six-sided cube numbered 1 to 6.

Each player chooses one card and rolls the cube to determine the number of spaces to move on the game board.

Then the probability that Trinity will choose a card greater than 6 and roll a 6 on the cube will be

[tex]\rm P = \dfrac{2}{8}\times \dfrac{1}{6}\\\\\\P = \dfrac{1}{24}\\\\\\P = 0.04167 \ or \ 4.167\%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

4

Step-by-step explanation:

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 300, 70 800

Step-by-step explanation:

Greatest is always the number with the most digits.

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 330, 70 800

Step-by-step explanation:

To answer this I simply needed to know the orders of numbers from ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, tens of millions, and hundreds of millions. You must also know which digits hold the most value.

[tex]1\\10\\100\\1,000\\10,000\\100,000\\1,000,000\\10,000,000\\100,000,000[/tex]

Answer:

C. 10i

Step-by-step explanation:

I took the quiz and got a 100%

By Simplify square root of negative 100 we get the answer is C (10i).

Usually, simplification involves proceeding with the pending operations in the expression.

A Simplification usually involves making the expression simple and easy to use later.

We have the expression:

√-100

Rewriting this yields:

[tex]=\sqrt{-1\cdot100}\\\\=\sqrt{-1}\cdot\sqrt{100}\\\\=i\sqrt{100}=10i[/tex]

Therefore, By Simplify square root of negative 100 we get the answer is C (10i).

Learn more about simplification;

https://brainly.com/question/17579585

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Answer:

B. 1

Step-by-step explanation:

-9/6 ÷ 3/-2

Reciprocal and it becomes multiplication.

-9/6 × -2/3

Multiply the fractions.

18/18

= 1

Answer:

Step-by-step explanation:

-9/6/3/-2

Made the second number the reciprocal =

-9/6  /  -2/3

Switch the sign to a multiplication sign =

-9/6 * -2/3

Simplify the numerator =

-9*-2 = 18

Simplify the denominator =

3*6 = 18

Place the numerator and denominator together =

18/18

Simplify the answer =

18/18 = 1

Hope this helped,

Kavitha