Real world inequalities:



You must be 4 feet or taller to ride the roller coaster

Answers

Answer 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The required inequality that represent the given scenario is :

[tex]\qquad \tt \dashrightarrow \:x \geqslant 4[/tex]

where, x is height in feet.

Answer 2

Let's interpret the information given:

  4 feet or taller ⇒ the person can be 4 feet or above 4 feet

Let's set 'x' as the hypothetical height of a person

Therefore the inequality should be x ≥ 4

   ⇒ we put x as greater than 4 since the person must be taller than 4

     feet to ride the roller coaster

   ⇒ we also put the '_' under the inequality to signify that the person

        can equal 4 feet in height and still be eligible to ride the roller

        coaster

Hope that helps!


Related Questions

Please help me with this too ,​

Answers

Answer:

Step-by-step explanation:

[tex]\sf a^{m}*a^{n} =a^{m +n}\\\\a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]

[tex]\sf a^{-n}=\dfrac{1}{a^{n}}\\\\\dfrac{a^{n}}{a^{m}}=a^{n-m}\\\\\\a^{0}=1[/tex]

[tex]\sf (a^{n})^{m} = a^{n*m}\\\\(a^{n}*b^{m})^{p}=a^{np}b^{mp}\\\\(ab)^{n}=a^{n}b^{n}[/tex]

The math club needs to raise at least $552.50 for a trip to state
competition. The club has raised 12% of the funds. Members want
to find out how much they each need to raise to make up the
difference.

Which inequality shows how much money each of the 7
club members need to raise if each member raises the same
amount?

A. m < $69.46
B. m > $69.46
C. m < $72.35
D. m > $72.35

Answers

ok so they raised 12%

12%=12/100=0.12

12% of 552.5=.12 times 552.5=66.3 was raised

552.5-66.3=486.2

divide by 7

486.2/7=69.457 about 69.46

each member must raise at least 69.46

Easy math pls help quick will give brainlest

Answers

Answer:Easy math pls help quick will give brainlest

Easy math pls help quick will give brainlest

Easy math pls help quick will give brainlestStep-by-step explanation:

is your correct answer

What is the five-number summary of this data set?

{403, 276, 649, 786, 274, 189, 654, 652, 572}

Drag the numbers into the boxes to correctly complete the five-number summary.
Minimum
Q1
Q2
Q3
Maximum
(choices)
189 274 275 276 572 652 653 654 786

Answers

Answer:

Minimum: 189

Q1: 275

Q2: 572

Q3: 653

Maximum: 786

Step-by-step explanation:

I took the test, I got it wrong but I looked back at the answer I hope this helped. And I am sorry this is late.

Answer:

Minimum: 189

Q1: 275

Q2: 572

Q3: 653

Maximum: 786

Step-by-step explanation:

I took the test, I got it wrong but I looked back at the answer I hope this helped. And I am sorry this is

1=5-4+3-2-1 pls help me i need to turn this and

Answers

Answer:

The answer would be true

Step-by-step explanation:

[tex]1=5-4+3-2-1[/tex]

[tex]1=1+1-1[/tex]

[tex]1=2-1[/tex]

[tex]1=1[/tex]

Given the function f(x) = 2x2 - 27, find f(h +2).

Answers

Answer:

f(h + 2) = 2h² +8h - 19

Step-by-step explanation:

f(x) = 2x² - 27

f(h + 2) = 2(h + 2)² - 27

f(h + 2) = 2(h²+4h+4) - 27

f(h + 2) = 2h² + 8h + 8 - 27

f(h + 2) = 2h² +8h - 19

I hope this helps!

1/3(6x-3)-1/4(20x+8)=-6

Answers

Answer:

x = 1.

Step-by-step explanation:

[tex]\frac{1}{3}(6x-3)-\frac{1}{4}(20x+8)=-6\\\\[Distribute the first fraction into the parenthesis.]\\((\frac{1}{3}*6x)-(\frac{1}{3}*3))-\frac{1}{4}(20x+8)=-6\\\\2x-1-\frac{1}{4}(20x+8)=-6\\\\[Distribute the second fraction into the parenthesis.]\\2x-1-((\frac{1}{4}*20x)+(\frac{1}{4}*8))=-6\\\\2x-1-5x-2=-6\\\\[Combine like terms.]\\-3x-3=-6\\\\[Add 3 to both sides.]\\-3x=-3\\\\[Divide both sides by -3.]\\x=1[/tex]

Angle 1 and angle 2 are supplementary. Angle 2 is 2 times the measurement of angle 1. What is the measurement of the larger angle?

Answers

Answer: 120 degrees

Step-by-step explanation:

The vertex -x^2 - 2x + 8

Answers

General form of a quadratic equation: [tex]ax^2+bx+c[/tex]

  ⇒ since the equation: [tex]-x^2-2x+8[/tex]

     ⇒ so:

a = -1b = -2c = 8

To calculate the x-coordinate of the vertex

  ⇒use x = [tex]-\frac{b}{2a}[/tex]   <--- this is a property that helps you find the vertex of the

                                 quadratic

      x = [tex]-\frac{(-2)}{2*(-1)} =-1[/tex]

Since x = -1:

    ⇒ we can plug in this x-value into the original equation to find the y-

         value

          [tex]y =-(-1)^2-2(-1)+8=-1+2+8=9[/tex]

So the coordinate of the vertex: (-1,9)

Hope that helps!

 

Ryan is working on his first budget. He has placed all of the fixed expenses on the budget shown and then would like to use the information to evaluate his variable expenses. Ryan's take-home pay is 2,500 each month. Complete the table below the answer the questions below.
please help me
complete the table and answer the four questions below if you tell me how to do I'll be happy to mark you brainlest!!!

1) what percent of his monthly budget do his transport costs account for?

2) what percent of his monthly budget has he accounted for?

3) Ryan would like to save 10% of his take-home pay towards retirement. How much would he be able to save each month?
4) Assume that Ryan does save 10% for retirement. If he allocates the remainder of his take-home pay to entertainment compromise of the total monthly budget? How much will be budgeted towards entertainment?

Answers

The percent of his monthly budget that his transport costs account for will be 17.8%.

How to calculate the percentage?

The percent of his monthly budget that his transport costs account for will be:

= 325/(800 + 450 + 125 + 325 + 125) × 100

= 325/1825 × 100

= 17.8%

The percent of his monthly budget has he accounted for will be:

= 1825/2500 × 100

= 73%

When he saves 10% of his take-home pay towards retirement, the amount saved will be:

= 10% × $2500

= $250

Learn more about percentages on:

https://brainly.com/question/24304697

The percent of Rayan's monthly budget that his transport costs account for will be 17.8%.

1. The proportion of his monthly budget that his transit expenses make up is:

= 325/(800 + 450 + 125 + 325 + 125) × 100

= 325/1825 × 100

= 17.8%

The proportion of his monthly budget that he has already accounted for is:

= 1825/2500 × 100

= 73%

He will save the following sum for retirement if he sets aside 10% of his after-tax income:

= 10% × $2500

= $250

The answer is $250.

2. To find the percentage of his monthly budget accounted for by transport costs, we add up the amounts for Car Payment and Gas:

$325 + $125 = $450.

Then we calculate the percentage: (450 / 2500) x 100% = 18%. Therefore, his transport costs account for 18% of his monthly budget.

3. To find the percentage of his monthly budget accounted for overall, we sum up all the amounts in the table:

$800 + $450 + $125 + $325 + $125 = $1,825.

Then we calculate the percentage: (1825 / 2500) x 100% = 73%. Therefore, he has accounted for 73% of his monthly budget.

4. To calculate how much Ryan can save each month for retirement, we take 10% of his take-home pay:

10% of $2,500 = $250.

Thus, he can save $250 each month for retirement.

For more details regarding budget, visit:

https://brainly.com/question/31952035

#SPJ6

What is the following product?
30 10
O 2010
O 3 V10
4./10
o 10/3
What is the following product?
Square root 30 and square root 10

Answers

Answer:

10 sqrt 3

Step-by-step explanation:

sqrt (30) * sqrt (10) = sqrt (300) = sqrt ( 4 * 25 * 3) = 10 sqrt 3

C
7
24
What is the measure of C

Answers

25.0 it has to be on a graph to

someone pls help me i will give brainliest to the first to answer

Answers

Answer:

21 and 35

Step-by-step explanation:

21 for the first box, when it is in parenthesis you multiply each, so then 35 for the second box

7 times 3 then 7 times 5

help plsssssssssssssssssssssssssssssssss

Answers

Answer:

I guess it is $105.Not so sure about my answer...

Rachel was pouring milk into an 8-inch-tall cylindrical container. She used the formula
V = #r?h to calculate the cylinder's volume which Rachel found to be 231 cubic inches of liquid.
What would be the most accurate measurement for the radius of the container of milk?
O 3 inches
O 5 inches
O 9 inches
O 10 inches

Answers

The volume of the cylinder container is the amount of milk in it

The most accurate measurement for the radius is 3 inches

How to determine the accurate radius?

The given parameters are:

Volume = 231Height = 8 inch

The volume of a cylinder is:

V = πr²h

So, we have:

πr² * 8 = 231

Divide both sides by 8π

r² = 9.19

Take the square root of both sides

r = 3.03

Approximate

r = 3

Hence, the most accurate measurement for the radius is 3 inches

Read more about volume at:

https://brainly.com/question/1972490

What is the volume of this figure? Enter your answer in the box.b

Answers

Answer:

2800 ft³

Step-by-step explanation:

The required volume of given figure is 2800 ft³

I hope it helped you

Find the value of X.

Answers

Answer: 23

Step-by-step explanation:

Which expression equals a number that is NOT a rational number?
Please help asap

Answers

Ans:

Not rational number include √2, π, e, and φ. The decimal expansion of an irrational number.

Select all ratios equivalent to 7:2.
14:4
28:8
9:1

Answers

Answer:

Step-by-step explanation:

If you multiply top and bottom of 7/2 by 2 as in (7 *2) / (2 * 2) = 14 /4

If you multiply 7/2 top and bottom by 4, you get 28/8

So 14/4 and 28/8 are both the same as 7/2

given the following cofunction sin(x - 3)° = cos(2x + 6)°, what is the measure of the smaller angle

Answers

Note :

sin(x) = cos (90-x)

Therefore,

sin(x-3) = cos(90-(x-3))

90-[x-3] = 2x+6

90-x+3 = 2x+6

3x = 93-6

x = 31-2

x = 29°

56783÷100=
please give answer pl​

Answers

the answer is 567.83

write an expression for ''the number of pieces
in three pack of mint gum.

Answers

Answer:

yellow blue green gray black white

Find the particular solution of the differential equation that satisfies the initial condition f'(x) 4x, f(0) = 5 f(x) =

Answers

Answer: [tex]f(x)=2x^2+5[/tex]

Step-by-step explanation:

First integrate f'(x) so we can find the funtion f(x):

[tex]4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)[/tex]

The initial conditions say that when x = 0, the function equals 5. Let's write that down:

[tex]f(0)=5=2(0^2)+C=C[/tex]

Therefore, the integration constant 'C' must equal 5. This means that our function is:

[tex]f(x)=2x^2+5[/tex]

4/8 - 3/10 pa answer ulii

Answers

Answer:

1/5

Step-by-step explanation:

4/8-3/10=1/5

So basically 4/8 -3/10 you first cross multiple the denominators so 8 multiplied by 10 and 3 and 10 multiplied by 8 and 4 so we have a total of 80 which is our denominator and 40-24 which will give us 16/80 then we simplify until we get 1/5 it’s a long way but very easy to understand


For Halloween, Gwen received 4*10 pounds of candy in the first hour and another 43/5 pounds the second hour. How much
candy did she get total?

Answers

Answer:

4*10 = 40

43/5 = 8.6

40 + 8.6 = 48.6 candy in total.

what numbers multiplied gives you -70 but added gives you -33

Answers

Answer:

-35, 2

Step-by-step explanation:

When you multiply -35*2 you will get -70

When you add a positive number to a negative number you will take the larger number and if it is negative you will add the positive and if it is positive you take away negative so -35+2 will be -33

Find the surface area

Answers

Answer:

Area of a sphere

Radius

15 m

Diameter

30 m

Volume

14,137 m³

Surface to volume ratio

0.2 1/m

Surface area

2,827.4 m²

Step-by-step explanation:

What is the equation of the circle?

Answers

Step-by-step explanation:

The equation of a circle is

[tex](x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]

Where (h,k) is the center and

r is the radius.

Here the center is (-9,10).

To find the radius, find the distance from the center to a point on the circle.

So find the distance between (-9,10) and (-9,7).

[tex]r = \sqrt{(( - 9 - ( - 9) {}^{2} + (10 - 7) {}^{2} } [/tex]

[tex]r = \sqrt{0 + 9} [/tex]

[tex]r = \sqrt{9} [/tex]

[tex]r = 3[/tex]

So the radius is 3 so we plug in

[tex](x - ( - 9) {}^{2} + (y - 10) {}^{2} = {3}^{2} [/tex]

[tex](x + 9) {}^{2} + (y - 10) {}^{2} = 9[/tex]

Answer:

○ [tex]\displaystyle (x + 9)^2 + (y - 10)^2 = 9[/tex]

Explanation:

Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared.

I am joyous to assist you at any time.

NO LINKS!! Please help me with this problem​

Answers

#GH

[tex]\\ \rm\Rrightarrow \dfrac{GH}{FG}=\dfrac{TS}{TU}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{GH}{36}=\dfrac{42}{28}=\dfrac{3}{2}[/tex]

[tex]\\ \rm\Rrightarrow GH=108/2=54[/tex]

#UV

[tex]\\ \rm\Rrightarrow \dfrac{UV}{TU}=\dfrac{JF}{FG}[/tex]

[tex]\\ \rm\Rrightarrow\dfrac{ UV}{28}=\dfrac{63}{36}=\dfrac{21}{12}=\dfrac{7}{4}[/tex]

[tex]\\ \rm\Rrightarrow UV=7(28)/4=7(7)=49[/tex]

#VW

[tex]\\ \rm\Rrightarrow \dfrac{VW}{SW}=\dfrac{IJ}{IH}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{VW}{35}=\dfrac{27}{45}=\dfrac{3}{5}[/tex]

[tex]\\ \rm\Rrightarrow VW=3(35)/5=3(7)=21[/tex]

FGHIJ ≅ UTSWV

making proportional equations

GH/FG = TS/UTGH/36 = 42/28GH = 54

FJ/FG = UV/UT63/36 = UV/28UV = 49

IJ/FG = VW/UT27/36 = VW/28VW = 21


Which statement is true?
• A.
A sample statistic can never be equal to the population parameter.
O B. Point estimates are defined for both samples and populations.
O C.
To calculate a sample proportion, we
need to know the population size
O D.
To calculate a point estimate, we
need to know the sample size.

Answers

Answer: Choice D

To calculate a point estimate, we need to know the sample size.

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

Explanation:

Let's go through the answer choices.

A) False. A sample statistic could equal to the population parameter. It won't always happen, but it might happen sometimes (in rare cases). B) False. Point estimates are only defined for populations. They estimate a population parameter. For example, the sample mean xbar is a point estimate of the population mean (mu).C) False. In practice, we will hardly know anything about the population. This includes the population size. The goal of statistics is to measure population parameters by using sample statistics as estimation methods.D) True. We can easily calculate the sample size because it is relatively much smaller compared to the population. Plus, when selecting the sample, the sample size is often pre-determined to some set number. The sample size will help us determine things like the sample mean and the sample proportion.
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