Inequalities in the real world
Pls help

Let x be the number of $1 bills and y be the number of $10 bills.

We know that:

x + y = 59 (the total number of bills)

x + 10y = 239 (the total monetary value of the bills)

We can use the first equation to solve for one of the variables in terms of the other. For example:

x = 59 - y

We can substitute this expression for x into the second equation:

(59 - y) + 10y = 239

59 + 9y = 239

9y = 180

y = 20 (the number of $10 bills)

We can use this value of y to find the number of $1 bills by substituting it back into the first equation:

x + y = 59

x + 20 = 59

x = 39 (the number of $1 bills)

Therefore, the motel clerk has 39 $1 bills and 20 $10 bills.

Answer:

Please check if the answer is correct or not....

hope it helps

see the attachment

Answer:

the answer is A. Remainder: 50 Not a factor

Step-by-step explanation:

Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35

Answer:

please someone help me with my latest question

Answer:

41 units

Step-by-step explanation:

Its the reflection the length are same

As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Answer:

answer= 6

Step-by-step explanation:

if ²/6 means 2 ÷ n

n= 6

Answer:

The answer is : x>4

Step-by-step explanation:

3(5-x)<5x-17

15-3x<5x-17

-3x-5x<-17-15

-(3x+5x)<-(17+15)

3x+5x>17+15

8x>32

x>\(\frac{32}{8}\)

x>4

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

C. c(t) = 5 + 15t

Step-by-step explanation:

Well because the initial fee is $5, the answer must have the value of 5 without a variable next to it because this is the y-intercept.

(Only the slope will have the t next to it.)

Because $15 is charged EACH HOUR this would be the slope because there is a constant increase

Therefore c(t) = 5 + 15t

Answer:

C. c(t) = 5 + 15t

Step-by-step explanation:

She charges $15 per hour, so each hour (represented by "t") she earns 15 dollars. She also charges a $5 fee per germent. So she would get $5 plus 15 times however many hours she worked. So your answer would be c(t) = 5 + 15t.

Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

By solving these two equations, we get the following:

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

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Answer:

thank you sm!

Step-by-step explanation:

I hope you have a good day / night ^^

☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️☁️

Answer:

c. \(x^7\sqrt x\)

Step-by-step explanation:

Find the largest square factor of \(x^{15}\), which is \(x^{14}=(x^7)^2\). This gives \(\sqrt{x \cdot (x^7)^2\). Taking the square factor out gives \(x^7 \sqrt x\), or choice c.

Answer:

The answer is D I,II, and III

Step-by-step explanation:

I just took the test on edge and answer it correct.

The statements considered as "online banking" are I, II, and III.

Thus, option (D) is correct.

Option I refers to a traditional brick-and-mortar bank that offers online banking services as an additional feature, which is considered a pure "online banking" institution.

Option II describes a bank with only a few physical branches but primarily operates with customers depositing money online, making it an online banking institution.

Option III represents a fully digital bank that operates solely through an internet presence, which is also considered an "online banking" institution.

Thus, option (D) is correct.

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Answer:

3*4?

Step-by-step explanation:

if you elaborate i can answer more

Answer:

i think it's 3*4? I don't know

Answer:

6

Step-by-step explanation:

Answer: 16j^3+2

Step-by-step explanation:

Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)

where s = half the perimeter,

s = (a + b + c)/2.

given data:

In ΔHIJ,

semi -perimeter s = (i + j + h) / 2

s = (33 + 61 + 39) / 2

s = 66.5

Now,

s - h = 66.5 - 33 = 33.5

s - i = 66.5 - 61 = 5.5

s - j = 66.5 - 39 = 27.5

area of ΔHIJ = √s(s - h)(s - i)(s - j)

area of ΔHIJ = √66.5*33.5*5.5*27.5

area of ΔHIJ = √336947.1875

area of ΔHIJ = 580.47

Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

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Answer:

3:15 just swap the numbers around and put this sign (:)

Answer:

15 past 3

or if you're saying 30 minutes past 3 you could say half-past 3.

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

Answer:

-11, -8

Step-by-step explanation:

I just took the quiz e d g e n u i t y 2020

Answer:

D.

Step-by-step explanation:

Answer:

1. The actual height is the measured height.  Therefore the doctor's measurement should be considered the actual height as the doctor measured the height of Clare's brother.

2. The error is the difference between the estimated height and the measured height:

⇒ 4 ft 2 in - 4 ft = 2 inches

3. First convert 4 ft 2 in into inches.

Given 1 ft = 12 inches

Therefore, 4 ft 2 in = 4 x 12 + 2 = 50 inches

\(\mathsf{percentage\ error=\dfrac{difference\ between\ actual\ and\ estimated\ value}{actual\ value}\times100\%}\)

\(\implies \mathsf{percentage\ error=\dfrac{2}{50}\times100\%=4\%}\)

So the error expressed as a percentage was 4% of the actual height.

ANSWER :

EXPLANATION :

The correct answers are, A, D, and E.

Heron's Formula

28 to 42 means 28/42

We now reduce 28/42 to lowest terms.

28 ÷ 7 = 4

42 ÷ 7 = 6

We now have 4/6.

We now reduce 4/6.

4 ÷ 2 = 2

6 ÷ 2 = 3

Final answer: 2/3

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

Answer:

Step-by-step explanation:

The table below shows the number of tickets and the amount charged based on this pricing structure:

Number of tickets | Amount charged

2 tickets | $16

4 tickets | $32

6 tickets | $48

8 tickets | $64

10 tickets | $80

And so on.

x=2

hope this helped