The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle.

Answer:

x = -6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

9(x+5)=−9

(9)(x)+(9)(5)=−9(Distribute)

Step 2: Subtract 45 from both sides.

Step 3: Divide both sides by 9.

Hello there! :)

9(x+5)=-9

Use the Distributive Property:

9(x+5)=-9

9x+45=-9

9x=-9-45

9x=-54

Divide both sides by 9:

x=-6

Hope it helps you! :) Feel free to ask me if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex]

Answer:

107 pages.

Step-by-step explanation:

100 - 47 - 28 = 25% are on Physics.

Number of pages on physics = 0.25 * 428

= 107.

Answer:

There are 107 pages devoted to physics.

Step-by-step explanation:

The number of pages on bio is 0.47(428) = 201 (rounded up from 201.16);

the number of pages for on chem is 0.28(428) = 120 (rounded up from 119.84), and so the total number of pages devoted to bio and chem is

201 + 120, or 321.

Subtracting this subtotal from the book's 428 pages yields 107.

There are 107 pages devoted to physics.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

[tex]\fbox \colorbox{black}{ \colorbox{white}{x} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{40 \degree}}[/tex]

[tex]\fbox \colorbox{black}{ \colorbox{white}{y} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{80 \degree}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

From the given figure, we can infer that ~

(by linear pair)

now, let's solve for x ~

And, we can see that 2x = y (by alternate interior angle pair)

So, let's find the value of y ~

Answer:

x = 40

3x - 20 = 100

2x = 80

y = 80

2x - 15 = 65

Step-by-step explanation:

The angles 3x - 20 and 2x are a linear pair, so they are supplementary. Their measures has a sum of 180°.

Angles 2x and y are alternate interior angles, so they are congruent.

Once we find the value of x, we can find the measure of angle 2x - 15.

3x - 20 + 2x = 180

5x = 200

x = 40

3x - 20 = 3(40) - 20 = 120 - 20 = 100

2x = 2(40) = 80

y = x = 80

2x - 15 = 2(40) - 15 = 80 - 15 = 65

Answer:

plus and minus

Step-by-step explanation:

example : 3 ± 5 = 8 or -2  

Hello!

The symbol + means "plus or minus"

It means we either add or subtract 4.

Example: 2+4=6 or -2

Hope it helps!

~Just a felicitous teen

#CarryOnLearning

[tex]SilentNature :-)[/tex]

Answer:

It is 4

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

Answer:

5, 7, and 12

Step-by-step explanation:

First we can make and equation

x + z + y = 24

we can plug in the numbers you gave us giving us

y = x + z

z = y - x

x = (y - 2) ÷ 2

Once, were done we get that x = 5 ≈ smallest number

z = 7 ≈ second largest number

y = 12 ≈ largest number

Answer:

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 57/84

The inverse function is used to find the angle.

  x = arccos(57/84)

  x ≈ 47.27°

__

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x) = 53/76

The inverse function is used to find the angle.

  x = arcsin(53/76)

  x ≈ 44.22°

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.

For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:

Setting the first factor, x² - 36, to zero:

x² - 36 = 0

Now, add 36 to both sides of the equation:

x² = 36

Next, take the square root of both sides:

x = ±√36

x = ±6

Setting the second factor, x + 7, to zero:

x + 7 = 0

Now, subtract 7 from both sides of the equation:

x = -7

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

Learn more about zeros of the function from the link given below.

https://brainly.com/question/31654189

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Answer:

1.-profit

2.-$300

3.-25%

Step-by-step explanation:

1.- 1500-1200=300+

2.-(1)

3.-1200/100= 12

300/12= 25

Answer:

x=8 that's the answer for the question

Answer:

-2, -1, 0, 1

Step-by-step explanation:

-2

-1

0

1

All the possible values of t in the inequality - 3 < t < 2 is,

t = - 2, - 1, 0, 1

Used the concept of inequality that states,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that;

The inequality is,

- 3 < t < 2

Here the given inequality means all the values of t are lies between - 3 and 2.

That is,

t = - 2, - 1, 0, 1

Therefore, the value of t are t = - 2, - 1, 0, 1

To learn more about inequality visit:

https://brainly.com/question/25944814

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Answer:

[tex]\frac{b}{4}+2=-1[/tex]

Subtract 2 from both sides:

[tex]\frac{b}{4}+2-2=-1-2[/tex]

[tex]\frac{b}{4}=-3[/tex]

Multiply 4 to both sides:

[tex]4*\frac{b}{4} =-3*4[/tex]

[tex]b=-12[/tex]

Answer:

A^2 + B^2 = C^2        for a right triangle

C^2 = (10.1^2 + 12.2^2)^1/2 = 250.85^1/2 = 15.8 in

With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean

Step-by-step explanation:

The required class widths are 3, 8, 13, 18, 23 and 28

Given the frequency distribution that summarizes employee years of service for Alpha Corporation as shown below:

[tex]1-5 \ | \ 6-10\ | 11-15 \ | \ 16-20 \ | 21-25 \ | 26 - 30\ \\ 0\ \ \ \ \ \ \ \ 20 \ \ \ \ \ \ \ \ 25 \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ \ \ \ 5[/tex]

The width of each class is calculated by taking the midpoints of each of the class intervals as shown:

For the class interval 1  - 5

width  = 1+5/2 = 3

For the class interval 1  - 5

width  = 6+10/2 = 8

For the class interval 11  - 15

width  = 11+15/2 = 13

For the class interval 16  - 20

width  = 16+20/2 = 18

For the class interval 21  - 25

width  = 21+25/2 = 23

For the class interval 26  - 30

width  = 26+30/2 = 28

Hence the required class widths are 3, 8, 13, 18, 23 and 28

Learn more on class width here: https://brainly.com/question/24326240

Answer:

16 pots

Step-by-step explanation:

Laura wants to place a pot every 3/4 (0.75)m

The length she wants to cover is 12m

So all we must do is divide

1) 12/0.75 (I converted the fraction to a decimal cause its easier)

2) 12/0.75 = 16

3) which means for each 3/4 there will be one pot so there is 16 pots in total

Answer:

32 seconds

Step-by-step explanation:

The median is the exact middle of the data after putting the data in order. In this example, it would be 32 seconds.

23, 23, 28, 31, 32, 34, 47, 49, 56

Answer: $4.29?

Step-by-step explanation:

3 pack /3 = $12.88 /3

1 pack = 4 22/75 or approx $4.29

Answer:

1) 9/10 + 4/5 + 5/6 = 2 8/15

2) 14/15 + 2/9 + 1/5 = 1 16/45

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

Solution:

[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]

A) The monthly percentage rate of Felix is;

B) The monthly percentage rate of Oscar is;

C) The amount that Oscar will pay more than Felix is; $0.96

A) Felix was given a card with APR of 14%.

Thus;

Monthly percentage rate = 14%/12 = 1.63%

B) Oscar was given a card with an APR of 21%. Thus;

Monthly percentage rate = 21%/12 = 1.75%

C) We are told that each of them had an average daily balance of $800 for a specific month.

Thus;

Amount paid by Felix = 800 * 1.63%

Amount paid by Felix  = $13.04

Amount paid by Oscar = 800 * 1.75%

Amount paid by Oscar = $14

Difference in Payments = $14 - $13.04 = $0.96

Thus, Oscar pays $0.96 more than Felix.

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a. felix: 14/12 = 1.167% (round to nearest hundredth = 1.17%)

b. oscar 21/12 = 1.75% (no need to round here)

c.

felix: (1.17/100) x 800 = 9.36

oscar: (1.75/100) x 800 = 14.00

14.00 - 9.36 = 4.64

oscar will pay $4.64 more than felix.

Answer:

The answer is 2, 6, 5, 1 for the Grams of Fiber.

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

We know that p(t) = 11:

11=2t+5

11-5=2t

6=2t

6/2 = t

3 = t

Answer:

8^2+6^2=10^10?

64+36=100

Yes

Hope This Helps!!!

Answer:

Yes,

Step-by-step explanation:

8^2 +6^2=100

[tex]\sqrt 100\\[/tex]= 10

Answer:

B

Step-by-step explanation:

The size of the exterior angle in a triangle is the sum of interior opposite angles. In this case, it's

Angle ACD=40+40=80° (Exterior angle=sum of int. opp. angles)

Answer:

b. 80°

Step-by-step explanation:

B is 40°

A triangle has 180°

40 + 40 + x = 180

80 + x = 180

x = 100

Since it's a supplementary angle...

180 - 100 = 80

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{3x-3}{5}[/tex] = [tex]\frac{2x-2}{4}[/tex] ( cross- multiply )

4(3x - 3) = 5(2x - 2) ← distribute parenthesis on both sides

12x - 12 = 10x - 10 ( subtract 10x from both sides )

2x - 12 = - 10 ( add 12 to both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Answer:

C

Step-by-step explanation:

Hope it can help you lovelots

If 7 > 2, then explain why -7 < -2.

Answer =》C. Because -7 is more negative and further to the left on the numberline than

-2.

______

RainbowSalt2222 ☔