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The distance the plane flies between the two cities is 2,475 miles.

Given that, an aeroplane leaves Los Angeles and travels 5 hours to New York City. The return trip travels along the same route and takes 6 hours and 15 minutes because the plane travels 99 mph slower due to a headwind.

We need to find the distance the plane flies between the two cities.

To get the distance, multiply the speed by time. You may see these equations simplified as s=d/t, where s is speed, d is distance, and t is time.

Let the speed of an aeroplane while travelling from Los Angeles to New York City be x.

Then the speed of an aeroplane during the return trip will be x-99.

Now, Distance=Speed × Time

So, x × 5 = (x-99) × 6 1/4

⇒5x=25/4 (x-99)

⇒20x=25x-2475

⇒5x=2475

⇒x=495

The speed of an aeroplane is 495 mph.

Now, the distance = 5x =5 × 495

=2,475 miles

Therefore, the distance the plane flies between the two cities is 2,475 miles.

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Answer: plane

Step-by-step explanation:

plane fliying in the sky it go fl y

The area and perimeter of the rectangle are 80 cm and 375 cm² respectively.

The rectangle is 15 cm wide.

The width is 3 / 5 of its length

Therefore, the area and the perimeter of the rectangle can be found as follows:

area of a rectangle = lw

where

Therefore,

w = 15 cm

15 = 3 / 5 × l

cross multiply

75 = 3l

l  =75 / 3

l = 25 cm

Therefore,

area of the rectangle = 25 × 15 = 375 cm²

Perimeter of the rectangle = 2l + 2w

Perimeter of the rectangle = 2(l + w)

Perimeter of the rectangle = 2(25 + 15)

Perimeter of the rectangle = 2(40)

Perimeter of the rectangle = 80 cm

Therefore, the area and perimeter of the rectangle are 80 cm and 375 cm² respectively.

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Blank bank as well as Thank bank earn equal interest.

In this question, Blank Bank offers an annual rate of r% for y years.

and Thank Bank offers a rate of ry% for 1 year.

Assuming $x is deposited into a savings account, we need to determine which bank earn more interest.

We know that, Interest = principal × rate × time

Now we convert the rates to decimals and to do that we divide by 100.

So, the annual rate of the Blank bank = 0.0r

And the annual rate of the Thank Bank = 0.0ry

Using above formula of interest,

For Blank bank, the interest would be,

I_B = x × 0.0r × y

I_B = xy(0.0r)

I_B = 0.0rxy                         ....................(1)

here, we find the interest for 'y' years

And for the Thank Bank, the interest would be,

I_T = x × 0.0ry × 1

I_T = I_B = 0.0rxy              ....................(2)

From (1) and (2),

I_B = I_T

Both the banks earn equal interest.

Therefore, Blank bank as well as Thank bank earn equal interest.

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The constant term in the expression is 3.

The expression is 4x ₋ 2y ₊ 3.

Here in this equation we have variables and constants.

variables = x and y whose coefficients are 4 and ₋2 respectively.

A variable is anything whose value can change and is not fixed. Typically, the letters x, y, z, etc. are used to indicate variables.

The above equation is in the form ax ₊ by ₊ c

An object with a fixed value in a circumstance is said to be a constant. We are aware that the constant is fixed, even though we do not know its exact value. In general, constants are represented by the letters a, b, c, p, q, etc. if their values are unknown or not given, and by particular numerical values) if their values are known.

Hence we get the constant term as 3.

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Answer:

for "FLUKE" its 5! = 120

and "PROPOSE" its 7! /2!×2! = 1260

Step-by-step explanation:

"FLUKE" has no repeating letters.

"PROPOSE" has two repeating letters.

we divide by the repeating letters like I did on "PROPOSE" .

THANK YOU.

Answer:  z = 2

Step-by-step explanation:

2.4z+1.2z-6.5=0.7

3.6z-6.5=0.7

3.6z=0.7+6.5

3.6z= 7.2

z=7.2/3.6

z=2

z + 16.2 ≤ 30

z ≤ 13.8

The y-intercept is (0, C/B).

Given:

Then,

Therefore, the y-intercept is (0, C/B).

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Answer:

$65

Step-by-step explanation:

The original price was x.

x was increased by 20%, so the new price is

x + 20% of x = x + 0.2x = 1.2x

The new price is 1.2x

The new price is $78

1.2x = 78

x = 78/1.2

x = 65

Answer: $65

The height of the frame is 1 m and the width is 1.5 meters.

The height and width are the two dimensions that are used to measure the perimeter of a rectangular frame.

The perimeter is defined as the sum of all sides of a polygon. For a rectangle it is equal to twice the sum of height and width.

Perimeter(p)=2×[height(h)+width(w)]

The given dimensions of the frame is that the height is [tex]\frac{2}{3}[/tex] the width.

Let us consider the width be x.

Hence height=[tex]\frac{2}{3} x[/tex]

Now perimeter =

[tex]2\times(x+\frac{2}{3}x) \\=\frac{10}{3} x[/tex]

But the given perimeter is 5 meter.

Therefore:

[tex]\frac{10}{3} x=5\\or,x=5\times 3\div 10\\or,x=1.5[/tex]

Therefore the width is 1.5 meters.

Height=[tex]\frac{2}{3} \times 1.5\\[/tex]=1 meter.

So we can conclude that the width is 1.5 meters and the height is 1 meter.

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Answer: 1.5 Burgers an hour

1/8 x 12 = 1.5

Multiply 1/8 by 12 to get and hour because 12/12ths = 1 hour

Answer:

138.2

Step-by-step explanation:

Celsius to Farenheit

(59/5)*9=106.2

106.2+32=138.2 farenheit

Answer: -2.0, -1.02, 0.25, 1.98

Step-by-step explanation:

Remember that negative numbers always go last. The bigger the negative number is, the smaller its quantity is. So -2.0 is less than -1.02. Then we have the positive numbers: 0.25, and 1.98. 0.25 is less than 1.98 because 1.98 has a whole number and 0.25 doesn't have a whole. Hope this helps :)

Answer:

1. DNE

2. DNE

3. (-2, inf)

4. (-3,-2)

Step-by-step explanation:

12 posts are required to support a straight fence 300 feet long if a post is placed every 25 feet.

The given question can be solved using division. We are given that 25 feet is covered by 1 post. So, we will simply find the number of posts that will cover the 300 feet long fence. Now, calculating the number of posts as shown in steps below -

Number of post that covers 25 feet = 1

So,  300 feet will be covered by number of posts = (1÷25)×300

Performing multiplication and division to find the number of posts required to cover 300 feet long fence

Number of posts required to cover 300 feet long fence = 12 posts

Hence, 12 posts are required to cover 300 feet long fence.

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The primary flaw is that the sample will slightly overestimate the physical fitness of the people of the town.

The given  hypothesis are,

[tex]H_0:p=0.35\\H_1:p < 0.35[/tex]

Type II error is accepted in null hypothesis when it is not actually true.

In the given question null hypothesis p= 0.35

The conclusion is that in the given sample proportion is  not equal to 0.35, though we know that proportion is not equal to 0.35 we accept the null hypothesis, that is wrong.

Now given n=185,x=77 P=0.53 then Q=1-0.35=0.65

[tex]H_0:P=0.35\\H_1:P < 0.35[/tex]

Now test statistic [tex]Z=\frac{p-P}{\sqrt{\frac{PQ}{n}}}[/tex]

Solving for Z using the given values we get :

Z=1.99

Now 1.99>-1.65

So we accept [tex]H_0[/tex]

The primary flaw in the system is that the sample is not randomly selected rather they are volunteers. So it is reasonable to think that the physical fitness of the town will be slightly over estimated by the experiment.

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Answer:

2x^2+2x+2

Step-by-step explanation:

7-7+5x-5x+2+2x^2+2x

ok first off i see 7-7, which is zero so we can leave that out

i also see 5x-5x which is also zero

now we have 2+2x^2+2x left, and to order it properly we put the number with the exponent and variable first, then the number with the variable, and then the number

so your final answer would be

2x^2+2x+2

i hope that helps! if you have any questions just ask!

Answer:

[tex]-5.5 = \frac{-11}{2}[/tex]

[tex]-4.8 = \frac{-24}{5}[/tex]

Step-by-step explanation:

Postać ułamka zwykłego oznacza postać [tex]\frac{licznik}{mianownik}[/tex].

Zaczynamy od zauważenia, że [tex]-5.5 = -55/10 = -\frac{55}{10} = -\frac{11}{2} = \frac{-11}{2}[/tex]

-4.8 robimy analogicznie, tylko skracamy przez 2 a nie przez 5.

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There are 6 significant digits in the number 1.00460.

Therefore, there are 6 significant digits in the number 1.00460.

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The 715 cm² area of the disc and the ±5 cm² error tolerance, gives;

a) x = √(715/π) cm

b) The range for the radius is; [√(710/π) cm, √(720/π) cm]

c)

f(x) = π•x²

L = 715 cm²

E = 5 cm

d = √(5/π) cm

Area of the circular metal disk = 715 cm²

a) Required; The disk radius

Let A represent the area of the disk and let x represent the radius, we have;

A = π•x²

Therefore;

x = √(A/π)

Which gives;

x = √(715/π) cm

b) Allowed area error tolerance = ± 5 cm²

The allowed range of values for the area is therefore;

Which gives;

√(710/π) ≤ x ≤ √(720/π)

c) From the [tex] \epsilon / \delta [/tex] definition of limits, we have;

[tex] \lim\limits_{x → √(715/π)} f(x) = 715 [/tex]

Which gives;

f(x) = A = π•x²

L = 715

|f(x) - L| < E = 5 cm

|x - √(715/π)| < d = √(5/π)

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Answer

1.2 + 0.68 should have equaled 0.80

Step-by-step explanation:

jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88.

This answer is incorrect. What did he do wrong?

If Jason solved this problem by changing 6/4 to 1.2, The wrong thing he did is ; 6/4 should have been changed to 1.5. Option C is correct

To find the correct answer, let's first evaluate the expression step by step:

1. 6/4 is equal to 1.5, not 1.2.

2. 1.5 + 0.68 equals 2.18, this is not 1.88.

So, the correct answer is: Jason made a mistake in the first step. He changed 6/4 to 1.2, but it should have been 1.5.

Therefore, the correct calculation is 1.5 + 0.68 = 2.18.

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True ,A 'variable' is defined as when a characteristic of interest differs in kind or degree among various observations.

How do nominal and ordinal differ?

What in statistics is a ratio variable?

Multiplicity of ratio variables (statistics) a variable with interval characteristics as well as meaningful ratios between any two of its values, which makes multiplication and division operations comprehensible.

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The number that could be expected to have cable television will be 138 people.

From the information, survey showed the 8 about of 20 home owners in a neighborhood had cable television

Therefore, when there were 320 homeowners in the neighborhood, the number that could be expected to have cable television will be:

= 8/20 ×320

= 8 × 16

= 128

The number of people will be 128.

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Cash paid to the suppliers is 35,56,530$

Given here, The Amount of raw material purchased by company is 35,71,723$.

Firstly, we calculate decrease in Accounts payable = 115492$ - 110685$

= 4807$.

Now, cash paid to the suppliers is calculated by,

Cash paid to the suppliers= Purchases of raw material + Decrease in Account payable.

= 35,71,723$ + 4807$

= 35,56,530$

Thus, the cash paid to the suppliers is 35,56,530$.

The amount of Accounts Payable on a company's balance sheet is significant. If AP rises over the previous period, it indicates that the business is using credit rather than cash to purchase more goods and services. A company's accounts payable (AP) will decline if it is paying its commitments from the prior period more quickly than it is acquiring new things on credit.

Management of accounts payable is essential for controlling a company's cash flow. The top component of the cash flow statement, the cash flow from operational activities, shows the net change in AP from the prior period when the indirect method is used to create the cash flow statement.

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The value modulus functions of x are found as 12 and -3.

A modulus function returns the magnitude of a number regardless of its sign.

The modulus function's value is always non-negative. Whenever f(x) is a modulus function, we get:

for the given function;

m(x) = |2x - 9|, where m(x) = 15.

then,

15 = |2x - 9|

Open the modulus function in its corresponding positive and negative values;

15 = 2x -9 and also 15 = -(2x - 9).

Solving both;

15 = 2x -9

2x = 15 + 9

2x = 24

x = 12

and, the second functions;

15 = -(2x - 9)

15 = -2x + 9

-2x = 15 - 9

x = -3

Thus, the solution for x are 12 and -3.

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The correct question is-

Given m(x) = |2x - 9|, find x when m(x) = 15.

Using proportions, it is found that Charlotte should ask for $62.5 in the budget to spend on thread.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Each uniform needs 50 buttons, and there are 100 uniforms, hence the number of buttons needed is:

50 x 100 = 5000.

Each button requires of a yard of thread, hence the number of yards needed is:

5000 x 1 = 5000 yards.

A 400-yard spool of thread is sold for $5, hence the budget needed is:

(5000/400) x 5 = $62.5.

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