The area A of a rectangle with dimensions 4x and 5 is described with the inequality 100 ≤ A ≤ 1,000 Select the compound inequality for the area written in terms of x. A 100 ≤ 10+8x ≤ 1,000 B. 100 ≤18x ≤ 1,000 C. 100 ≤ 9x ≤ 1.000 D. 100 ≤20x ≤ 1.000 The solution to the compound inequality is _____ ≤x≤ ________ Are all of your solutions viable? ________

Someone help me on this question, please. I don't understand!!​

Answers

Answer 1

The compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000, the solution is 5 ≤ x ≤ 50 and all the solutions are viable

How to select the compound inequality for the area written in terms of x?

The given parameters are

Dimensions = 4x and 5

Area: 100 ≤ A ≤ 1,000

The area is calculated as

A = Product of dimensions

So, we have

A = 4x * 5

Evaluate

A =20x

Substitute A =20x in 100 ≤ A ≤ 1,000

100 ≤ 20x ≤ 1,000

So, the compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000

Divide through 100 ≤ 20x ≤ 1,000 by 20

5 ≤ x ≤ 50

Hence, the solution is 5 ≤ x ≤ 50 and all the solutions are viable

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Related Questions

a boat travelled 36 miles in 2 hours. At this rate how many miles will the boat travel in 1/3 hour

Answers

Answer:

6 miles

Step-by-step explanation:

36/2=18 mph

18/3=6 per 1/3 hour

galaxy a has 8x10 stars. galaxy b has 6x10 stars. choose which galaxy has more stars. then fill in the blank with a number written in standard notation

Answers

Answer: 750 times more stars.

Step-by-step explanation:

You already know the answer (Galaxy B is quite obviously larger) but the amount of times larger is dependent on the value you get when you divide;

6 billion by 8 million (6,000,000,000/8,000,000)

...which is 750.


A hula hoop has a diameter of 44 inches. What is the circumference of the hula hoop? Use 3.14 for tt

Answers

Answer:

i think 126 sorry if im wrong

Step-by-step explanation:

The circumference is 72 inches.

(Lots of points)PLEASE HELP ME Due today at 8:59 in Texas

Answers

Answer:

6.) So 8 of 24 hours is 1/3. So the percent of his time used was 33.33333 . . % (etc)

7.) The easiest way to figure out a percentage is dividing it. So if it was 30 hit out of 75 people, then divide 30 by 75. So 40% of them got hit.

Hope that helps

3y-y+5x+3-7x simplified as much as possible

Answers

Answer:2y-2x+3

Step-by-step explanation:

Combine like terms:

3y-y+5x+3-7x

2y-2x+3

What is the value of x in the equation? 6(x +1) -5x = 8 + 2(x - 1)

can someone explain for me please

Answers

Answer:

x = 0

Step-by-step explanation:

6 ( x + 1 ) - 5x = 8 + 2 ( x - 1 )

6x + 6 - 5x = 8 + 2x - 2

-x = 0

x = 0

Answer:

I believe it is x= 0 but correct me if I am wrong

what is quadratic formula?

Answers

Answer:

The quadratic formula allows us to solve any quadratic equation that's in the form ax^2 + bx + c = 0.

Step-by-step explanation:

Answer:

Step-by-step explanation:

It cost $36.75 for three tickets to visit the science center. It cost $51 for 4 tickets to visit the zoo. Which attraction will cost more money for a group of 12 students to visit? How much more?

Answers

Find the cost for one ticket for the science center.
36.75 ÷ 3 = 12.25
Multiply the product with 12 to get the cost of 12 tickets.
12.25 × 12 = 147
Find the cost of 1 zoo ticket.
51 ÷ 4 = 12.75
Find the cost of 12 tickets by multiplying the product and 12
12.75 × 12 = $153
12 Science Center Tickets cost $147
12 zoo tickets cost $153

The Zoo costs more than the Science Center.

To find out how much more the Zoo costed, subtract 147 from 153.
153 - 147 = 6
The zoo only costs $6 more for 12 students.
So, you're answers are Zoo and $6

if the measure of the angle WXZ is equal to the measure of XYZ, which statement si true

Answers

Answer:

ray XZ is the angle bisector of angle WXY.

3. Lamar's hybrid car gets 45 miles per gallon. Please list 2 equivalent ratios that
are based on this relationship. Explain why they are equivalent.
Your arrswer

Answers

Answer:

im sooo sorry

Step-by-step explanation:

what is the greatest common factor (GCF) of 25 and 23?​

Answers

Answer:

hi

Step-by-step explanation:

What linear function models the table of values?

Answers

i think it’s c im not sure :/

I will give brainliest i will also give a lot of points

Answers

Answer:

-12y^10

Step-by-step explanation:

First let's rewrite the equation using the commutative property of multiplication
3 x (-4)y^8y^2

Multiply y^8 by y^2 by adding the exponents
y^8+y^2= y^10

3 x (-4)y^10

Now multiply 3 by -4
3 x -4= -12

Finally put them together
-12 + y^10= -12y^10

Answer:

[tex] - 12 {y}^{10} [/tex]

Step-by-step explanation:

We are to simplify:

[tex](3 {y}^{8} )( - 4 {y}^{2} )[/tex]

3 multiplies -4 to get -12, as shown below

[tex]3 \times - 4 = - 12[/tex]

Now, to multiply the exponents which are 8 and 2, we have to use the exponential rule of multiplication: [tex] {a}^{b} \times {a}^{c} = {a}^{b + c} [/tex]

Therefore:

[tex] {y}^{8} \times {y}^{2} = = > {y}^{8 + 2} = {y}^{10} [/tex]

Now, combine -12 and [tex] {y}^{10} [/tex] to get your final answer.

Final answer [tex] = - 12 {y}^{10} [/tex]

I hope this helps

WILL GIVE BRAINLIEST!!

Ignore the $

Meyer rolls two fair, ordinary dice with the numbers $1,2,3,4,5,6$ on their sides. What is the probability that at least one of the dice shows a square number?

Answers

Two numbers on each die are squares: 1 and 4. 4 numbers on each die are not squares: 2 , 3, 5, and 6. there are 16 ways for him to roll a non-square die, out of 36 outcomes for the pair of dice. The other 20 options each have a square number showing on one or both dice. So, the probability is 5/9. hope this helps please pick my answer as brainliest, have a good day!


The National Science Institute was conducting research on the speed of Cheetahs. After
concluding their research, they were able to predict the cheetahs speed or distance when given
certain times or miles that the cheetah traveled. Complete the table of values and graph the
data on the coordinate plane.

Time(min) |. Distance(mi)
0. 0
1/2. 2/3
1. ?
? 3
8. ?

Answer the following questions using the information above.
1.) Is the relationship proportional? Why or why not?
2.) What is the unit rate?

Answers

The table of values is:

Time(min)           |         Distance(mi)

0                                         0

1/2                                     2/3

1                                         4/3

9/4                                      3

8                                       32/3

1) The relationship between Distance and Time is proportional.

2) The unit rate is 4/3 miles

To complete the table, we need to find the missing values of time and distance.

We use the relation between Distance, speed and time ,to find the missing values, which is given by,

Distance = Speed x Time

Given when time = 1/2 minute, the distance = 2/3 miles

Speed = Distance/Time

           = 2/3 x 2/1

           = 4/3 mile per minute.

This is the constant speed of the cheetah. We use this constant speed to find the other values to complete the table.

So If we take 'y' as the distance and 'x' as the time, then the relationship between time and distance can be expressed as

  y = (4/3)x  [since Distance = Speed x Time ].

So this relationship is proportional because there is a constant of proportionality 4/3 in the linear equation above and hence can be graphed as well.

The graph will contain the time values on the x-axis and distance values on the y-axis.

So now we need to find the missing values on the table using the above linear equation.

When time, x = 1 minute, distance, y = (4/3) x 1 = 4/3 miles.

When distance, y = 3 miles, 3 = (4/3)x

⇒ time, x = 3 x (3/4) = 9/4 minutes.

When time, x = 8 minutes, distance, y = (4/3) x 8 = 32/3 miles.

So the table is:

Time(min)            |        Distance(mi)

0                                         0

1/2                                     2/3

1                                         4/3

9/4                                     3

8                                        32/3

The unit rate refers to the y-value when the x-value is unity(1). So the unit rate here is found when time = 1 minute.

From the table, distance when time = 1 minute is 4/3 miles.

Hence, unit rate = 4/3 miles.

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PLEASE HELP What is the remaining balance on the card if Raina bought 30 prints

Answers

Answer:

23.7

Step-by-step explanation:

B(x) = 25.50 - 0.06x

B(30) = 25.50 - 0.06(30)

B(30) = 25.50 - 1.8

B(30)= 23.7

Hope this help I suck at explaining

help was 2+2??

this is the before​

Answers

2 plus 2 is 4 but if you are doing monkey math it would be 44

Answer:

169

Step-by-step explanation:

Use the number line to identify the least value, first quartile, median, third quartile, and greatest value of the data.

Ages of teachers (in years): 30, 62, 26, 35, 45, 22, 49, 32, 28, 50, 42, 35

Answers

Answer: least value - 22

first quartile - 29

median - 35

third quartile - 47

greatest value - 62

Step-by-step explanation:

I GIVE BRAINLILSTE ///////////////////////....

Answers

[tex] {\bf \red {\huge{answer : }}}[/tex]

The dogs weight increased from 64 pounds to 80 pounds.

80 - 64 = 16

so , the dog's weight increased more 16 pounds.

[tex] \pink {\sf{hence , \frac{16}{80} \times 100 }}[/tex]

[tex] \red{= \frac{16}{8 \cancel{0}} \times 10 \cancel{0 } }[/tex]

[tex]\purple{= \frac{ \cancel{16}}{ \cancel{8 }} \times 10 }[/tex]

[tex]\blue{= \frac{ 2}{ 1} \times 10 }[/tex]

[tex] \green{2 \times 10 = 20\%}[/tex]

Therefore , the dog's weight increased by 20%

please answer correctly!!

Answers

Answer:

Undefined

Step-by-step explanation:

y = 0
y = 4 and y = 0 are parallel
they both go across the y axis in a straight line and will never touch

Max purchased a solar pool cover for his swimming pool. What is the area of the
solar cover for the swimming pool?
10ft
32 ft
Square Feet

Answers

Answer:

320 ft^2

Step-by-step explanation:

The table represents the function f.
What is f3)?
X
f(x)
0

Answers

the answer is 9 i believe

As per the given data the required answer is 9............

A store pays by the ounce to have different types of bracelets made and wants categorize them by price drag each purchase to the category that shows the ratio of dollars

Answers

Answer:

include a picture

Answer:

THIS IS THE CORRECT ANSWER FOR IMAGINE MATH BRAINLIEST PLZ

Step-by-step explanation:

yw!

(04.01 MC) A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 10 inches. Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 10) would represent a height of 10 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points) Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points) Part C: If the rate at which the candle burned was 0.75 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)

Answers

The ordered pairs, justification of the function with different order pairs is required.

The ordered pairs are [tex](0,10),(1,9.5),(2,9),(3,8.5),(4,8),(5,7.5)[/tex]

All values of [tex]x[/tex] has a unique value in [tex]y[/tex] so, it is a function.

y = Height of candle

x = Number of hours

m = Rate = 0.5 inches per hour

c = y intercept = Initial height = 10 inches

The required function is

[tex]y=-0.5x+10[/tex]

Six ordered pairs would be

[tex]x=0,1,2,3,4,5[/tex]

[tex]y=-0.5\times 0+10=10[/tex]

[tex]y=-0.5\times 1+10=9.5[/tex]

[tex]y=-0.5\times 2+10=9[/tex]

[tex]y=-0.5\times 3+10=8.5[/tex]

[tex]y=-0.5\times 4+10=8[/tex]

[tex]y=-0.5\times 5+10=7.5[/tex]

The ordered pairs are

[tex](0,10),(1,9.5),(2,9),(3,8.5),(4,8),(5,7.5)[/tex]

It can be seen that all values of [tex]x[/tex] has a unique value in [tex]y[/tex] so, it is a function.

If m = 0.75 inches per hour

The function would change to

[tex]y=-0.75x+10[/tex]

Some ordered pairs would be

[tex]y=-0.75\times 0+10[/tex]

[tex]y=-0.75\times 1+10[/tex]

[tex](0,10),(1,9.25)[/tex]

The same is seen in this function, all values of [tex]x[/tex] has a unique value in [tex]y[/tex] so, it is a function.

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Lol can someone help me understand this i’m mad confused and I’m tryna get my grade up

Answers

Answer:

y-(-8)=4(x-2)

Step-by-step explanation:

This is point-slope form. Point-slope form is y-y₁=m(x-x₁), this is y minus the change in y equals slope (slope is m) times x minus the change in x. An ordered pair is (x, y). You just plug in the missing values. This will get you y-(-8)=4(x-2). I hope this helps! Also, make sure not to put the parenthesis around -8 in the actual box! They are just there to make for less confusion.

the larger of 2 consecutive integers is 10 more than twice the smaller. Find the integers

Answers

The smaller integer is -8 and larger integer is-9
-9 is the smaller integer, and -8 is the larger integer.

The graph of y=x³ is transformed as shown in the graph below. Which equation represents the transformed function?


y=x^3-4
y=(x-4)^3
y=(-x-4)^3
y=(-x)^3-4

Answers

Answer:4

Step-by-step explanation:

all 4

What are the characteristics of a graph of an inverse variation equation?

Answers

In inverse variation, the graph is a hyperbola (y = x a ). An inverse variation hyperbola never passes through the origin. An inverse variation hyperbola never crosses the x or y axis; the x and y axes are called the asymptotes of the hyperbola.

Answer:

the answer the other dude gave is right

Step-by-step explanation:

David wants to start a lawn care business. He offers his clients two different service options: Plan A charges $20 per month plus $5 an hour. Plan B charges $30 per month plus $3 an hour. He used the system of equations below to determine how much money he can make on both plans. y = 5x + 20 y = 3x + 30 If x represents the number of hours he works, and y represents the total money he makes, how many hours would he have to work to make the same amount of money with both plans?

Answers

Answer:

1440 hrs

Step-by-step explanation:

5 is the number of hours he works, and 45 is the total money David makes.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that David  offers his clients two different service options.

Plan A charges $20 per month plus $5 an hour.

Plan B charges $30 per month plus $3 an hour.

y = 5x + 20 and y = 3x + 30 are the system of equations to determine how much money he can make on both plans.

y = 5x + 20..(1)

y = 3x + 30..(2)

Substitute equation 2 from equation 1.

y-y=5x+20-3x-30

0=2x-10

2x=10

Divide both sides by 2

x=5.

Now substitute x in equation 1.

y=25+20

y=45

Hence, 5 is the number of hours he works, and 45 is the total money David makes.

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Angles that form a linear pair
add up to [?]°

Answers

Answer:

180°

Step-by-step explanation:

Two adjacent angles whose sum add up to 180°are called Linear pair. The uncommon arms of two adjacent angles form a straight line.

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