What is the value of x?

Part A

w = width

L = length

L = w+8 since the length is 8 mm longer than the width

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

Part B

P = perimeter of rectangle

P = 2*(L+W) = 2L + 2W

We want the perimeter to be more than 32 mm, so we want P to be greater than 32

This means we write P > 32

Replace P with either 2(L+W) or 2L+2W. I'll pick 2L+2W

So we go from

P > 32

to

2L+2W > 32

After this, replace L with W+8 (refer to part A above)

We now have

2(W+8) + 2W > 32

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

Part C

Let's solve the inequality found in part B to get...

2(w+8) + 2w > 32

2w + 16 + 2w > 32

4w + 16 > 32

4w + 16-16 > 32-16 ....... subtracting 16 from both sides

4w > 16

4w/4 > 16/4 ......... dividing both sides by 4

w > 4

For this case we have by definition that one yard equals 91.44 centimeters.

We propose a rule of three that allows you to find the number of centimeters in any number of yards:

1yd ------------> 91.44cm

x ------------> y

[tex]y = \frac {x * 91.44} {1}\\y = x * 91.44[/tex]

Where:

y: It is the number of centimeters

x: It is the number of yards.

Answer:

one yard equals 91.44 centimeters.

Answer:

A=384

Step-by-step explanation:

For this case we have by definition, that the surface area of a cube is given by:

[tex]SA = 6l ^ 2[/tex]

Where:

l: It's the side of the cube

We have as data, according to the figure, that:

[tex]l = 8ft[/tex]

Substituting in the figure:

[tex]SA = 6 (8) ^ 2\\SA = 6 * 64\\SA = 384 \ ft ^ 2[/tex]

Thus, the surface area of the cube is [tex]384 \ ft ^ 2[/tex]

Answer:

[tex]384 \ ft ^ 2[/tex]

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{17}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{17-11}{4-2}\implies \cfrac{6}{2}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-11=3(x-2)\implies y-11=3x-6[/tex]

[tex]\bf y=3x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

[tex]y = 3x + 5[/tex]

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

[tex]\frac{-11 + 17}{-2 + 4} = \frac{6}{2} = 3[/tex]

Now, plug the coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly. It does not matter which ordered pair you choose:

17 = 3[4] + b

12

5 = b

[tex]y = 3x + 5[/tex]

__________________________________________________________

11 = 3[2] + b

6

5 = b

[tex]y = 3x + 5[/tex]

You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

Answer:

0

Step-by-step explanation:

x+y=5

x^3+y^3+15xy-125

(x+y)(x^2-xy+y^2)+15xy-125

5(x^2-xy+y^2)+15xy-125

5x^2+5y^2-5xy+15xy-125

5x^2+5y^2+10xy-125

5[x^2+2xy+y^2]-125

5(x+y)^2-125

5(5)^2-125

125-125

0

Answer:

7(10+5)

105

Step-by-step explanation:

Distributive property:

       ↓

A(B+C)=AB+AC

7*15=7(10+5)

7(10+5) is the correct answer.

105 is the correct answer.

I hope this helps you, and have a wonderful day!

By distributive property, 7·15 can be written as 7*(10 + 5) = 105 .

According to the distributive property, multiplying the sum of two or more variables by a number will give the same result as multiplying each variables individually by the number and then adding the products together.

Mathematically,

A*(B + C) = AB + AC

Given expression is 7·15 .

By distributive property, the expression can be written as -

⇒ 7·15 = 7*(10 + 5)

⇒ 7*(10 + 5) = 7*10 + 7*5

⇒ 70 + 35 = 105 .

Thus, by distributive property, 7·15 can be written as 7*(10 + 5) = 105

To learn more about distributive property, refer -

https://brainly.com/question/2807928

#SPJ2

Answer:

{[tex](x,y)|(x=3,y=4)[/tex]}

Step-by-step explanation:

The given system of equations is;

[tex]y-4=0...(1)[/tex]

and

[tex]2x-y-2=0...(2)[/tex]

We rewrite the equations in the standard form to get:

[tex]y=4...(3)[/tex]

[tex]2x-y=2...(4)[/tex]

We now substitute equation (3) into equation (4) to get:

[tex]2x-4=2[/tex]

Group similar terms:

[tex]2x=2+4[/tex]

[tex]2x=6[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{6}{2}[/tex]

This implies that:

[tex]x=3[/tex]

Therefore the solution set is:

{[tex](x,y)|(x=3,y=4)[/tex]}

Answer:

The answer D is incorrect

I'm sorry I don't know the answer but I wanted to warn you so you can at least have a better chance

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

i took the test i got it right (:

Answer:

A

Step-by-step explanation:

The common difference d is the difference between consecutive terms.

d = - 2 - (- 6) = - 2 + 6 = 4

d = 2 - (- 2) = 2 + 2 = 4

Answer:

4

Step-by-step explanation:

BIG BRAIN

Answer:

B) 4, 8, 10

Step-by-step explanation:

4+8 is greater than 10

4+10 is greater than 8

10+8 is greater than 4

For this case we have that by power properties it is fulfilled:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

Now, we can rewrite the expression as:

[tex]\frac {64g ^ 9 * h ^ 6 * k ^ {12}} {8g ^ 3 * h ^ 2} -h ^ {25} k ^ {15} =[/tex]

We also have by definition of properties of powers that:

[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]

So:

[tex]8g ^ {9-3} * h ^ {6-2} * k ^ {12} -h ^ {25} k ^ {15} =\\8g ^ 6 * h ^ 4 * k^{12} -h^{25} * k^{15}[/tex]

Answer:

Option D

ANSWER

[tex] 12\pi[/tex]

EXPLANATION

The area of sector is calculated using

[tex] \frac{angle\:of \: sector }{360 \degree} \times \pi \: {r}^{2} [/tex]

The angle of the sector is 120° and the radius of the circle is 6 units.

We substitute the given values into the formula to obtain:

[tex] \frac{120 \degree}{360} \times \pi \times {6}^{2} [/tex]

[tex] = \frac{120 \degree}{360} \times \pi \times 36[/tex]

[tex]= \frac{120 \degree}{10} \times \pi = 12\pi[/tex]

Hence the area of the sector is [tex] 12\pi[/tex]

Answer:

slope = 6, y- intercept = - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 6x + y = - 7 into this form

Add 6x to both sides

y = 6x - 7 ← in slope- intercept form

with slope m = 6 and y- intercept c = - 7

Answer:

for number 4 the answer is 32 in (please read below)

Step-by-step explanation:

I will do one of them for now... how about number 4.

Similar triangles means we are going to setup a proportion:

                          Small triangle                                 Big Triangle

Corresponding       12                                                     15

Corresponding        x                                                      40

So the proportion is 12/x=15/40

cross multiply

12(40)=15(x)

Divide both sides by 15

giving x=12(40)/15=32

Try number 1... And I will check it for you (just post as a new question-I will be looking for it)

Answer:

1. 8 cm

2. 15 cm

3. 28 cm

4. 32 cm

Step-by-step explanation:

1. 12/6= 2

  20/10= 2

  Scale Factor= 2

  16/2= 8cm

2. 30/18= 1.6666667

   15/9= 1.6666667

   Scale Factor= 1.6666667

   25/1.6666667= 15cm

3. 16/12= 1.333333

   32/24= 1.333333

   Scale Factor= 1.333333

   (21)(1.333333)= 28cm

4. 15/12= 1.25

   25/20= 1.25

   Scale Factor= 1.25

   40/1.25= 32cm

Expression to simplify: [tex]\frac{8b}{a^{-5} }[/tex]

Remember, when a number has a negative power, it reciprocates (flips over)

First lets write the expression so that the a is in a fraction by itself:

[tex]\frac{8b}{a^{-5} }[/tex] = [tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex]

So to simplify, all we do is reciprocate [tex]\frac{1}{a^{-5} }[/tex] and make the power positive:

[tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex] =  [tex]8b[/tex] × [tex]a^{5}[/tex]

=[tex]8a^{5}b[/tex]

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

Answer:

[tex]8a^{5}b[/tex]

The correct simplification Expression is  [tex]8b/a^-5[/tex]

The correct simplification of the expression "8 times b over a to the power of -5" is [tex]8b/a^-5[/tex]. This can be simplified by using the following rule:

[tex]x^m \times x^n = x^ \ (m + n)[/tex]

Therefore, we can rewrite the expression as:

[tex]8b/a^-5 = 8b \times a^5[/tex]

We can then multiply the numerator and denominator by 8 to get:

[tex]8b \times a^5 = 64b \times a^5[/tex]

Finally, we can rearrange the factors to get:

[tex]64b \times a^5 = 8a^5 \times b[/tex]

Therefore, the simplified expression is [tex]8a^5 \times b.[/tex]

For more such questions on Expression

https://brainly.com/question/30350742

#SPJ2

Answer:

The measure of angle 1 is 35°

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

∠1=(1/2)[106°-36°]=35°

Answer:

[tex]\large\boxed{\O}[/tex]

Step-by-step explanation:

[tex]|x|+7<4\qquad\text{subtract 7 from both sides}\\\\|x|+7-7<4-7\\\\|x|<-3\Rightarrow\ x\in\O\\\\\text{Because}\\\\|x|\geq0\ \text{for all real value of}\ x[/tex]

Answer: its the o with the line going diagonal through it

Step-by-step explanation:

Answer:

[tex]\large\boxed{\vec{a}\circ\vec{b}=30}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ \vec{u}=\left<a,\ b\right>\ \text{and}\ \vec{v}=\left<c,\ d\right>,\ \text{then}\\\\\vec{u}\circ\vec{v}=ac+bd\\\\==========================\\\\\vec{a}=\left<5,\ 2\right>,\ \vec{b}=\left<4,\ 5\right>\\\\\vec{a}\circ\vec{b}=(5)(4)+(2)(5)=20+10=30[/tex]

Answer:

The worth of one bill is $20 and the worth of the other bill is $1

Step-by-step explanation:

Let

x----> the worth of one bill

y ---> the worth of the other bill

I assume x > y

we know that

x+y=21 ----> equation A

x=y+19 ---> equation B

Solve the system by elimination

Multiply equation B by -1 both sides

-x=-y-19 ----> equation C

Adds equation A and equation C

x+y=21

-x=-y-19

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

y=21-y-19

2y=2

y=1

Find the value of x

x=y+19 -----> x=1+19=20

therefore

The worth of one bill is $20 and the worth of the other bill is $1

Answer:

y = 0

Step-by-step explanation:

Plug in 28 for x. Solve for the equation:

x + 3y = 28

(28) + 3y = 28

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 28 from both sides:

28 (-28) + 3y = 28 (-28)

3y = 0

Isolate the variable, y. Divide 3 from both sides:

(3y)/3 = (0)/3

y = 0

y = 0 is your answer.

~

Answer:

o = (41790/210)+5;0 = 204

Step-by-step explanation:

o = (41790/210)+5

o = 199+5

0 = 204

(pls give brainliest)

Answer: mcdonald Harvested oranges when there were 5 trees-210

So 1 tree is 210/5=42

41790 oranges come from _ trees

=41790/42

=995 trees

Step-by-step explanation:

Answer:

Option A - Permutation; number of ways = 210

Step-by-step explanation:

Given : At a competition with 7 runners, medals are awarded for first, second, and  third places. Each of the 3 medals is different.

To find : How many ways are there to  award the medals?        

Solution :

There are 7 runners but medals are three.

The first runner up got first medal as one is locked.

The second runner up got second medal as second is locked.

The third runner up got the third medal.

So, There is a permutation.

Number of ways to award the medals is [tex]^7P_3[/tex]

We know, [tex]^nP_r=\frac{n!}{(n-r)!}[/tex]

Substitute the values,

[tex]^7P_3=\frac{7!}{(7-3)!}[/tex]

[tex]^7P_3=\frac{7\times 6\times 5\times 4!}{4!}[/tex]

[tex]^7P_3=210[/tex]

Therefore, Option A is correct.

Permutation; number of ways = 210

[tex]x^2 + 20x + 99=x^2+9x+11x+99=x(x+9)+11(x+9)=(x+11)(x+9)[/tex]

Answer: Acute Angle

Step-by-step explanation:

Any angle 89 degrees or less will identify as an acute angle.  

A 43 degree angle can be classified as an acute angle.

A 43 degree angle is classified as an acute angle which means it measures less than 90 degrees. Acute angles are commonly found in many geometric shapes.

They are also often associated with sharp corners or narrow angles. In the case of a 43 degree angle, it is smaller than a right angle (90 degrees) but larger than a zero or null angle.

Read more about angle

brainly.com/question/25770607

#SPJ6

Answer:

Step-by-step explanation:

5*5*5*2

The number must end in 2 or 4.

1 3 and 5 will give you an odd number if either is at the end.

The permutation formula does not lend itself to this problem. That is because repetition is allowed. So 5554 is a possible answer.

You can choose any one of 1 to 5 for the first place.

1 to 5 in the second place independent of what you choose for the first place.

The only thing restricting you is the last place. It must be 1 of 2.

I suppose you could use 2P1 for that.

5 * 5 * 5 * 2P1

Linear functions are "graphs with straight lines." The formula to solving a linear function is [tex]y=f(x)=a+bx[/tex] Linear functions also have one independent variable and one dependent variable.

Hope this helps.

Answer:

68

Step-by-step explanation:

i just took the test.

Answer:

k=-5 or k= -13

Step-by-step explanation:

lk+9l=4

k+9=4 or k+9=-4

k=-5 or k= -13

The solutions for the equation |k+9| = 4 are k = -5 and k = -13. We got these results by considering separately the positive and negative cases for the absolute value.

To find the solution to the equation |k+9| = 4, we need to think about what the absolute value operation represents. Absolute value takes the positive version of whatever is inside, no matter if it's positive or negative. So we actually need to consider two separate cases.

So the solutions to the equation are k = -5 and k = -13.

Learn more about Solving Absolute Value Equations here:

https://brainly.com/question/35463657

#SPJ2

♡ The Question ♡

Jerry has a spinner with 4 sections numbered 1 through 4. He suspects that the spinner is not fair because it seems to land on 2 more often than any other number. To test this, he spins the spinner 250 times and records the relative frequency of each outcome. Outcome 1 2 3 4 , Relative frequency 0.26 0.24 0.24 0.26  Select from the drop-down menus to correctly complete each statement.

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

For the spinner to be fair, each outcome will be equally likely.

The relative frequencies in the table are relatively close to equal.

This means it is likely that the spinner is fair.

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

No Explanation/Step-By-Step provided!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

No Tips provided!

The true statements are for the spinner to be fair, each outcome will be equal, the relative frequencies in the table are relatively close and this means it is likely that the spinner is fair.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that,

Outcome                      1            2          3           4

Relative frequency    0.26     0.24     0.24     0.26

The spinner has 4 sections

This means that the probability of landing in a section is:

p = 1/4

p = 0.25

So, for the spinner to be fair, each outcome will be equal

The relative frequencies in the table are relatively close is the true statement.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Answer:

C=K-273.15

Step-by-step explanation:

Here we are given the relation between the measurements of temperatures in Celsius C and Kelvin K . The relationship is as under

K=C+273.15

now we have to rewrite this equation so that we can evaluate C in terms of K

In  order to do so , we Subtract 273.15 from both sides.

K-273.15 = C + 273.15-273.15

K - 273.15=C

C=K-273.15