Mathematics High School

Mr. Sampson wants to ship a birthday gift to his son in the navy. To meet shipping requirements at the Local U
Pack It We Ship it Store, the perimeter of the rectangular-shaped gift box must be less than 30 inches. Write
and graph an inequality to describe this situation.

X= length
Y= width

Answers

Answer 1

Answer:

Step-by-step explanation:

If length of the box = x

And width of the box = y

Then perimeter of the box = 2(length + width)

= 2(x + y)

Since, perimeter of the box is less than 30 inches.

2(x + y) < 30

x + y < 15

y < -x + 15

Since, this inequality has a sign of less than, line on the graph will be a dotted line.

y intercept of the dotted line y = 15 (by x = 0)

x intercept of the line x = 15 (by y = 0)

Constraints for the graph will be,

x > 0

y > 0

Now we can plot the dotted line by joining the x and y intercepts.

In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.

Related Questions

The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?

Answers

Answer:

Step-by-step explanation:

The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?

Given data

cost to manufacture a hair clip is $0.50

markup of 200%

Required

The selling price

We know that

Mark up percent= selling-cost/cost*100

200= selling-0.5/0.5*100

200-selling= 50/0.5

200-selling= 100

selling= 200-100

selling = 100

Hence the selling price is $100

Let sin(2x)-sin(x)=0, where 0 ≤ x < 2pi. What are the possible solutions for x?

Answers

Step-by-step explanation:

sin2x - sinx = 0

2sinxcosx - sinx = 0

(Double Angle Formula)

sinx(2cosx - 1) = 0

Either sinx = 0 or cosx = 1/2.

When sinx = 0,

x = 0 or x = π.

When cosx = 1/2,

x = π/3 or x = 5π/3.

Hence the solutions are

x = 0, x = π/3, x = π or x = 5π/3.

hello My name es Liliana y arigato bye

Answers

Answer:

?????.... hii erica herrrr

Answer:

Hi Liliana i love your name! it's very pretty:) my name is Melody

Step-by-step explanation:

the number of employees for a certain company had been decreasing each year by 8%. If the company currently has 860 employees and this rate continues, fund the number of employees in 19 years.

Answers

Answer:

approximately 684 employees

Step-by-step explanation:

So this is an exponential equation since there is a dividing decrease, not just subtracting. The standard equation is,

[tex]y = a(b)^{x} [/tex]. [tex]a[/tex] is initial value (860 employees) and [tex]b[/tex] is the change [tex]-8%[/tex] or [tex]0.92[/tex]. The [tex]x[/tex] would be the period of time, [tex]19[/tex]. This equation would be [tex]y = 860(0.92)^{19} [/tex].

After solving, the equation would become the following: [tex]y = 860(0.92)^{19} = 176.387242442≈176[/tex]. After subracting the number of lost employees from orginal employees ([tex]860-176=684[/tex]), we see that the company will have approximately 684 employees left after 19 years.

Which number would make this number sentence true? (3 + 2) x ? = 5 x 8

Answers

Answer:

Step-by-step explanation:

3+2=5

5 x 8 = 5 x 8

Answer:

Step-by-step explanation:

2 numbers are in perenticies so do them first 3+2 = 5 Then wait dont do nothing with that do 5x8 to get what to need to get 5 x? to witch is

40 so 8 would be the correct answer

which of the following numbers is irrational

Answers

Answer:

Step-by-step explanation:

Irrational means cannot be put into a fraction. Or random repeating decimals is how I remember it.

√48 can be simplified to equal 4√3. √3 cannot be put into fraction form.

I need help what is the diameter of this circle?

Answers

Answer:

14cm

Step-by-step explanation:

the diameter is 2x the radius

The full distance from side to side, or radius multiplied by 2!

What hazard is present in this image?

Select the best option.

A mat that has upturned edges

Hair clippings on the floor

Tool cord left out

Spills on floor

Answers

Answer:

spills on the floor

Step-by-step explanation:

there is liquid of some sort someone could slip and hurt themselves. hope this helps

Katie's business is going so well she wants to expand and add a shirt. She makes an isosceles triangle logo like the one below.

What is the angle of B

Answers

I think u forgot to put pic for we can see the triangle

Can u give us how the angle looks please if you could?

X+36 is less than 40 write equation

Answers

Answer:

x<4

Step-by-step explanation:

x+36 is less than 40

x+36<40

Subtract 36 from both sides

x<4

This equation means, that in order for the equation to be true, x must be less than 4.

Answer:

x<4

Step-by-step explanation:

x+36=40

you do 36- 40 and get 4 then it would be x<4

help for brainlest what can be use ti

Answers

Answer:

2x(5+13)

Step-by-step explanation:

add then multiply by 2

Answer:

to find perimeter

= 2(L+w)

= 2(5+13)

10+26

so the answer is 2×(5+13)

hope it's helpful ❤❤❤❤

THANK YOU.

PLS HELP I'LL MARK BRAINLEST

Answers

Answer:

Step-by-step explanation:

180-50

Hey there!

Hope this helps!

x=130

What is the value of j?

___°

Answers

34 degrees.

If you want to find how much an angle is, first check the original line (aka base). Then (only if the line is a 180 degree line) subtract whatever value is shown (in this case it was 146 degrees so what you would do is subtract 146 from 180 and you would have your answer).

Hope this helps.

-Northstar

Solve the linear equation x + 4 + 3x = 72. State the property that justifies your first step and why you chose it

Please Help!!!!!!!!!

Answers

Answer:

x=17

Step-by-step explanation:

x+4+3x=72

4x+4-4=72-4

4x/4=68/4

x=17

Associative property of addition

Answer: x = 17

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Solve the system.... 2y+8x+58 and y-5x=11

Answers

Answer:

x=2, y=21

Step-by-step explanation:

there are two methods: substiution and elimation. I will be doing subtistution in this soultion:

first isolate y in either equation, it would be easier to do it in the second one.

y= 11+5x

Then, subtitute that into the first equation

2(11+5x)+8x=58 (it says 2y+8x+58 but I assume you mean 2y+8x=58?)

22+10x+8x=58

18x = 36

x=2

substitute that back into y = 11+5x, to get y=11+10 = 21

What is the value of x?
A. 6
B. 5
c. 4
D.3

Answers

Answer:

Step-by-step explanation:

CD is an angle bisector and divides the opposite side into segments which are proportional to the other 2 sides, that is

[tex]\frac{BC}{AC}[/tex] = [tex]\frac{BD}{AD}[/tex] , substitute values

[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{2.25}[/tex] ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3 → D

If 8x−5y=−3 is a true equation, what would be the value of 8x−5y+7?

Answers

Answer:

Value of 8x -5y + 7 is 4.

Step-by-step explanation:

Given that:

8x-5y = -3 Eqn 1

It is a true equation.

Now we have to find the value of the given expression

8x -5y + 7

Putting value of 8x-5y from Eqn 1 in the given expression

8x - 5y + 7

-3 + 7

Therefore,

8x - 5y + 7 = 4

Hence,

Value of 8x -5y + 7 is 4.

Simplify the following expression.
3^3/5• 3^(-7/5)

Answers

Answer:

[tex]\frac{1}{3x^{\frac{4}{5}}}[/tex]

Step-by-step explanation:

Subtract the exponents: 3/5 - 7/5 = -4/5

Equation would become 3^-4/5

Which is equivalent to 1/3x^4/5

Help me with this circle question

Answers

Answer:

50.265482457436 inches

Step-by-step explanation:

radius = 8 inches

C = 2×pi×r

= 2×pi×8

C = 50.265482457436 inches

Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink? Choose the correct equation and answer for this situation. I THINK THIS IS ABOUT RASIOS SO PLS HELP

Answers

Answer:

7 ÷ 84 = 84 = 12 ounces

Step-by-step explanation:

The equation will be 7x = 84. Then the number of ounces will each person get to drink will be 12.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Seven people are going to share an 84-ounce bottle of soda.

Let x be the number of the ounces bottle of soda of each person.

Then we have the equation will be

7x = 84

x = 84 / 7

x = 12

Then the number of ounces will each person get to drink will be 12.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

9. Factorize: 6x2 - 19x + 14.

Answers

Answer:

Step-by-step explanation:

Here, we want to factor the given polynomial

We have this as;

6x^2 - 19x + 14

= 6x^2 -12x-7x + 14

= 6x(x-2) -7(x-2)

= (6x-7)(x-2)

6x^2-19x + 14 = (6x-7)(x-2)

Help me please I don't know how to solve this problem.

Answers

I believe it’s A. 12 buhhtt idddkkk I prolly did it wrong srryyyy. Thts js wht I think

HURRY
1/12 is the same as 1÷12. What is the exact quotient in decimal form of 1÷12?

Answers

Answer: Yes 1/12 is the same as 1 ÷ 12

decimal form is 0.083333333333333333(3 is repeating)

Step-by-step explanation:

Answer:

0.08333333333

Step-by-step explanation: since i helped can i have brainlist please :D

plssssssssssssss help this quiz is timed Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?

270 degrees clockwise rotation

90 degrees clockwise rotation

180 degrees rotation

90 degrees counterclockwise rotation

Answers

Answer:

90 degrees

Step-by-step explanation:

90 degrees hhgffdfkgdf

Answer:

90 degrees clockwise rotation

Step-by-step explanation:

Because

If 4x+ 3 = 9x − 4, then x = ?
F. 75 G. 57 H. 713 J. 15 K. −15

Answers

Answer:

Step-by-step explanation:

Jhbiko

Answer:

7/5

Step-by-step explanation:

4x+3=9x-4

3=9x-4-4x

3=5x-4

3+4=5x

7=5x

7/5=x

x= 7/5

is this one of the choices I hope it helps.

Help pleas brainliest promise

Answers

Answer:

1) 13

2) 1

Step-by-step explanation:

1) you add the e amount of people that went to the store 3 and 5 times because those are all more than 2.

2) 1 has the lowest number on the amount of landings.

Determine the intercepts of the line x-intercept

Answers

Answer:

I dont know if you meant where it intercepts the x line or y line so for the x line it intercepts at -7.5 but for y line it intercepts at 5.5

Guys help I’ve been trying to solve this problem for the past 40 minutes.

Answers

Answer:

56 degrees since you set the two equations equal to each other and then plug the value of p (which is 11) back in to find the answer.

need help plz help me

Answers

Answer:

The last one t/5-6=-3

Step-by-step explanation:

All you have to do is plug in 15 to each equation, knowing this if you add 15 into this equation you would get 15/5-6=-3 and this is true because 15/5=3, 3-6=-3!

I hope this helps and have a great day!

14 is 33 1/2% of what number?

Answers

Answer:

41.79

Step-by-step explanation:

c = 14 * 100/33.5 = 1400/33.5 = 2800/67

= 41.79104

Other Questions

PLZZZ HELP ME OUT........................ PLZZ I need help -Anwser I only have 10 minutes left Find the vertex of the parabola defined by the following equation. 3x^2-12x+11 Al Gore wanted a vote recount in four Florida countiesVolusia, Palm Beach, Broward, and Miami-Dade. What did these counties have in common?Map of the state of Florida showing the election results for each county. In the counties shaded red, Bush received most of the votes. In the counties shaded blue, Gore received most of the votes. In the northwest area of the state, the counties are primarily shaded red, with a few shaded blue near the state capital. In the northeast region of the state, most counties are shaded red. In central Florida, there is a mix of red and blue shaded counties. In the southwest region of the state most counties are shaded red. In the southeast region of the state, most counties are shaded blue. 2011 FLVS The counties had less than 20 percent of votes for the Democratic Party. The counties had less than 20 percent of votes for the Republican Party. The counties had high populations and more voters that chose Gore. The counties had low populations and more voters that chose Bush. Complete el parrafo con la forma correcta de los verbos entre parentesis en el preterite o el imperfect.Mientras ella ___ (dormir), los osos ___ (regresar) a la casa. ___ (descubrir) que alguien habia entrado en la casa. ___ (buscar) por toda la casa y ___ (encontrar) a Guerita. Los osos la ___ (comer), pero su carne ___ (ser) pudrida y los osos ___ (ponerse) enfermos. La casa no ___ (tener) bano, porque los osos siempre ___ (hacer) popo en el bosque. Los pobres osos ya no ___ (poder) comer carne de hamano porque ellos ___ (tener) malas memorias de lo que les ___ (pasar) cuando ellos ___ (comer) a Guerita. 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Mr. Sampson wants to ship a birthday gift to his son in the navy. To meet shipping requirements at the Local U Pack It We Ship it Store, the perimeter of the rectangular-shaped gift box must be less than 30 inches. Write and graph an inequality to describe this situation. X= length Y= width

Answers

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Mr. Sampson wants to ship a birthday gift to his son in the navy. To meet shipping requirements at the Local U
Pack It We Ship it Store, the perimeter of the rectangular-shaped gift box must be less than 30 inches. Write
and graph an inequality to describe this situation.

X= length
Y= width