simplify the following expressions ( use distributed property )

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where [tex]w[/tex] is the width and [tex]l[/tex] is the length.

The perimeter of a rectangle is twice its length added to twice its width.

[tex]2l+2w=22[/tex]

The length is 3 more than the width:

[tex]l = w+3[/tex]

We can now substitute in [tex]w+3[/tex] as [tex]l[/tex] in the equation [tex]2l+2w=22[/tex].

[tex]2(w+3) + 2w = 22[/tex]

Distribute the first terms:

[tex]2w+6+2w=22[/tex]

Combine like terms:

[tex]4w+6=22[/tex]

Subtract 6 from both sides:

[tex]4w=16[/tex]

Divide both sides by 4:

[tex]w = 4[/tex]

Now we know that w = 4. We can now substitute this inside an equation to find [tex]l[/tex].

[tex]l = w+3\\\\l = 4+3\\\\l=7[/tex]

Hope this helped!

Answer:

What the other guy said XDDDDDDDDDD

Step-by-step explanation:

I'm awesome =D

Answer:

Exercise, 8 hrs of sleep, healthy diet with lots of fruits and vegetables are all good for your health

Step-by-step explanation:

Answer:

44 in

Step-by-step explanation:

Answer:

2(2W+12) < 560

Step-by-step explanation:

Perimeter of a rectangular dog pen P = 2(L+W) where;

L is the length of the dog pen

W is the width of the dog pen

If Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width, then L = W+12

If Lyle can afford no more than 560 feet of fence, this means that the perimeter cannot be more than 560feet i.e P<560

The inequality to show that the perimeter of the dog pen can be no more than 560 feet is expressed as P < 2(L+W)

Substituting the given parameters;

2([W+12]+W)<560

2(2W+12)<560

Hence the inequality to show that the perimeter of the dog pen can be no more than 560 feet is 2(2W+12)<560

Answer:

Step-by-step explanation:

Refer to attached. All answers included.

Answer:

Step-by-step explanation:

2x + 1 + x + 23 = 180

3x + 24 = 180

3x = 156

x = 52

2(52) + 1 = 104 + 1 = 105

52 + 23 = 75

Answer:

2√6cm

Step-by-step explanation:

Area = L×L

A=L2

24 =L2

√24 =√L2

2√6= L

:.L =2√6.cm.

Answer:

x = -11

Step-by-step explanation:

-12 = x - 1

-12 + 1 = x

x = -11

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: - 12 = x - 1}}[/tex]

[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation

[tex] \hookrightarrow{ \sf{x - 1 = - 12}}[/tex]

[tex] \tt{Step \: 2 \: }[/tex] : Move 1 to right hand side and change it's sign

[tex] \hookrightarrow{ \sf{x = - 12 + 1}}[/tex]

[tex] \tt{Step \: 3}[/tex] : Calculate

Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \hookrightarrow{ \sf{x = - 11}}[/tex]

The value of x = 11

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer: First choice. ECFBDA

Explanation:

The answer choices list either step E or step F first.

It turns out that step E must come first because we place the compass on the original angle ABC to help copy this angle.

The arc formed on angle ABC intersects the two rays as described in step E. Those two intersection points are labeled point D and point E, which is what step C describes. So C must be the next step.

Therefore the correct sequence is ECFBDA.

ECFBDA is the correct order of steps for bisecting angle ABC.

"Angle bisector is defined as the ray which divides an angle into two equal measures."

According to the question,

Rearrange the given statements in correct order of steps for angle bisector.

E. Place the compass on point B, and swing an arc that intersects rays BA and BC.

C. Place point D on the intersection of the arc on ray BA and point E on                                                

    the intersection of the arc with ray BC.

F. Place the compass on point D, and draw an arc inside the angle.

B. Keeping the compass the same distance , place the compass on point

    E. draw an arc inside the angle.

D.  Place point F on the intersection of the arcs created from points D

     and E.

A. Draw a ray from point B through point F.

Hence, ECFBDA is the correct order of steps for bisecting angle ABC.

Learn more about angle bisector here

https://brainly.com/question/12896755

#SPJ2

Answer:

[tex]4n = 24[/tex]

Step-by-step explanation:

Given

[tex]Cars = 4[/tex]

[tex]Empty = 3[/tex]

[tex]Occupied = 21[/tex]

Required

Determine an equation to find number of seats

Let the number of seats in each car be represented by n;

If [tex]1\ car = n[/tex]

Then:

[tex]4\ cars = 4 * n[/tex]

[tex]4\ cars = 4 n[/tex]

This implies that there are 4n total seats

Solving further:

[tex]Occupied\ Seats + Empty\ Seats = Total[/tex]

Substitute values for the above parameters:

[tex]21 + 3 = 4n[/tex]

[tex]24 = 4n[/tex]

Reorder

[tex]4n = 24[/tex] ---- This equation can be used to solve for n

Answer:

Second Option

Step-by-step explanation:

Graph is sloping down so your first number must be negative, hence eliminating option 3.

y-intercept is negative, hence eliminating option one. By process of elimination, your answer is option 2. Sorry for the brief explanation. Do let me know if you need any further explanation. Thanks!

Answer:

1

Step-by-step explanation:

Just replace 0 instead of x and simplify.

The required value of h(0) is 1.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Now the given function is,

h(x) = -x + 1

To find the value of h(0), put x= 0 in the given equation

⇒ h(0) = -0+ 1

Since, -0+ 1= 1

∴We obtain,

h(0) = 1

which the required value of h(0).

Hence,the required value of h(0) is 1.

To learn more about function :

brainly.com/question/20655070

#SPJ2

Answer:

20 weeks

Step-by-step explanation:

35+5=40

40/2=20

The tree grows linearly, then the tree grows each year will be 20 inches.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The height of a tree is 38 inches.

After 4 years, the height is 9 feet 10 inches.

1 ft = 12 inches

9 ft = 180 inches

Then 9 ft and 10 inches will be

→ 108 + 10

→ 118 inches

The tree grows in 4 years and will be

→ 118 - 38

→ 80 inches

Let the tree grows linearly, then the tree grows each year will be

→ 80 / 4

→ 20 inches

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

x = -9

Step-by-step explanation:

Answer:

x= -9

Step-by-step explanation:

2x+20=-3x-25

+3. +3

5x+20=-25

-25. -25

5×=-45

÷5. ÷5

×= -9

Answer:

t = 74 / 9

Step-by-step explanation:

-9(t - 2) = 4(1 - 15)

-9t + 18 = 4 - 60

-9t + 18 = -56

 -18      -18

-9t = -74

/-9     /-9

t = 74 / 9

t = 8.22

Answer:

t = 74 / 9 ~= 8.222

Step-by-step explanation:

-9 ( t - 2 ) = 4 ( 1 - 15 )

-9 * t + -9 * -2 = 4 * 1 + 4 * -15

-9t + 18 = 4 + -60

-9t + 18 = -56

-9t = -56 + -18

-9t = -74

t = 74 / 9

Alternatively:

-9 ( t - 2 ) = 4 ( 1 - 15 )

-9 * t + -9 * -2 = 4 ( - 14 )

-9t + 18 = -56

-9t = -56 + -18

-9t = -74

t = 74 /9

Cheers.

Answer:

1924

Step-by-step explanation:

1998

-   75

--------

1924 so he was born in 1924

Answer:

Yes, it is AC.

Explanation:

There’s no other way of naming it.

The probability of an event is a number from 0 to 1 that measures the chance that an event will occur. In this lesson, we will look into experimental probability and theoretical probability.

The following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.

he following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.

Experimental vs Theoretical Probability

How to find the Experimental Probability of an event?

Step 1: Conduct an experiment and record the number of times the event occurs and the number of times the activity is performed.

Step 2: Divide the two numbers to obtain the Experimental Probability

How to find the Theoretical Probability of an event?

The Theoretical Probability of an event is the number of ways the event can occur (favorable outcomes) divided by the number of total outcomes.

Answer:

9/10

Step-by-step explanation:

Answer:

-1 1/5

Step-by-step explanation:

Answer:

The meet at first time at starting point after 336 seconds,

Vanu have completed 7 laps while Tanuj has completed 6 laps.

Step-by-step explanation:

Given that Venu and Tanuj take 48 seconds and 56 seconds to

complete a lap respectively.

To meet them again at the startiong point, the  time taken must be multiple of 56 and 48.

So, the minimum time required to meet them again at the startiong point is time taken for first time meet.

Time taken to first time meet is the smallest number which can be divided by 56 and 48, i.e the lowest common factor (LCM) of 56 and 48 which is 336 seconds or 5 minutes 36 seconds.

Number of laps by Venu

[tex]=\frac{336}{48}=7[/tex]

Number of laps by Tanuj

[tex]=\frac{336}{56}=6[/tex]

Answer:9

Step-by-step explanation:when an absolute value has a negative it turns to a positive which makes this problem 3x3

Answer:

9

Step-by-step explanation:

3×-3= -9

absolute value of -9 is 9

Answer:

7.5

Step-by-step explanation:

It is greater because it is closer to 8.

Answer:

90°

Step-by-step explanation:

If E=F, and E is the complement to F, they must both be 45 degrees.

2x45=90

180-90=90

Answer:

P can be located anywhere below the x-axis but not directly on the y-axis

Step-by-step explanation:

To start, "a" refers to the x coordinate for P and "b" is the y coordinate. The y axis is the vertical line on a graph and anything below the point of 0 is negative. If x can't be 0, that also means that it can't be on the y axis. So, if the x coordinate can be any number and y is negative, P can be anywhere below the x-axis and not on the y-axis (drawing a graph will help with understanding, too).

Answer:

(8-28i)/53

hope it helps!

Step-by-step explanation: