A plane flies from NY to Chicago, which is about 700 miles, at a speed of 330 mph. How long does the flight take? On a return trip, a tailwind (x) helps the plane move faster. (The plane still operates to produce a basic speed of 330 mph. The total flying time for the round trip is 3.7 hours so how fast is the tailwind?

Answer:

Percentage of decrease in Sales = 11.04% or 11 %

Step-by-step explanation:

Decrease Percentage = [(Original Value - New Value) ÷ Original Value] × 100 

Percentage = [(145,000 - 129,000) ÷ 145,000] × 100

Percentage = [(16,000) ÷ 145,000] × 100

Percentage = (0.1104) × 100

Percentage of decrease in Sales = 11.04% or 11 %

Answer:

degree: linear

terms: binomial

Step-by-step explanation:

The polynomials are :

Solution :

To classify polynomials, we look at the number of terms and the degree of the polynomial.

monomial - 1 term

binomial - 2 terms

trinomial - 3 terms

polynomial - 4 terms or more

first

second  (quadratic)

third

fourth (quartic)

etc.

_________________

[tex]\pmb{3x+12}[/tex] has 2 terms and its highest exponent is 1. Hence it's a binomial.

[tex]\pmb{x^3-8}[/tex] has 2 terms and its highest exponent is 3, hence we have a third-degree binomial.

Answer:

slope of AB = 1-(-3)/0-(-3)

= (1+3)/3 = 4/3

Slope of CD = -1-(-5)/3-0

=(-1+5)/3 = 4/3

Both AB and CD are parallel because their slopes are equal.

Answer:(4,-1.5)

Step-by-step explanation:

You’d be adding 5,-0.5 to the respective coordinates. Point F’ is located at -1,-1 so you’d be adding 5 to -1 for the x coordinate and -0.5 to -1 for the y coordinate.

Answer:

$63.54

Step-by-step explanation:

If something is 35% off you pay 65% of the price

115*.65= 74.75

same thing again but with 15% and multiplying by .85

74.75*.85=63.54

Answer: First choice

Sq rt of 3 X sq rt of 2 = sq rt of 6 which is irrational

Sq rt of 12 and sq rt of 3 = sq rt of 36 which = 6 rational

Sq rt of 5 plus sq rt of 2 is irrational

Sq rat of 9 plus sq rt of 4 is 3+2=5 rational

Step-by-step explanation:

Answer:

It would be 8.

Step-by-step explanation:

Since in the first answer the man was 6 feet and his shadow was 3, you divide 16 by 2. After dividing you get 8 feet.

Answer:

it would be 8 because 6/3 is 2 and 16/2 is 8

Answer:

m = - 3

Step-by-step explanation:

- 19 + 7 = -12

- 12 ÷ 4 = -3

Height MT of the pyramid will be 8.9 cm

    Given in the question,

Since, diagonals of a rectangle bisect each other, point M will be the midpoint of the diagonal AC.

By applying Pythagoras theorem in right triangle ΔABC,

AC² = AB² + BC²

AC = [tex]\sqrt{AB^2+BC^2}[/tex]

AC = [tex]\sqrt{6^2+7^2}[/tex]

AC = [tex]\sqrt{85}[/tex]

Therefore, AM = [tex]\frac{\sqrt{85} }{2}[/tex]

AM = 4.61 cm

Apply Pythagoras theorem in right triangle ΔAMT,

AT² = AM² + TM²

TM = [tex]\sqrt{AT^2-AM^2}[/tex]

TM = [tex]\sqrt{(10)^2-(4.61)^2}[/tex]

     = [tex]\sqrt{78.7479}[/tex]

     = 8.874

     ≈ 8.9 cm

    Therefore, height MT of the pyramid will be 8.9 cm.

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Answer:

The frequency of the note a perfect fifth below C4 is;

B- 174.42 Hz

Step-by-step explanation:

Here we note that to get the "perfect fifth" of a musical note  we have to play a not that is either 1.5 above or 1.5 below the note to which we reference. Therefore to get the frequency of the note a perfect fifth below C4 which is about 261.63 Hz, we have

1.5 × Frequency of note Y = Frequency of C4

1.5 × Y = 261.63

Therefore, Y = 261.63/1.5 = 174.42 Hz.

The frequency of the note a perfect fifth below C4 is 174.42 Hz

The perfect fifth is a musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so.

For the perfect fifth of a musical note,

we have to play a not that is either 1.5 above or 1.5 below the note to which we refer.

Therefore to get the frequency of the note a perfect fifth below C4 which is about 261.63 Hz,

We have

[tex]1.5 \times Frequency of note Y = Frequency of C4[/tex]

[tex]1.5 \times Y = 261.63[/tex]

divide both sides by 1.5

Y = 261.63/1.5 = 174.42 Hz.

Therefore we get, the frequency of the note a perfect fifth below C4 is  174.42 Hz.

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Well, whenever you are working with fractions with different denominators, you would multiply both the top and the bottom of the fraction with the smaller number as the denominator. (You could also divide the larger denominator number.) So let's see what number we can multiply by 5 to get 10. That would be 2. Then we would multiply the numerator by two as well. So what is 3 times 2? 6. Once you've done that, you get 6/10 or 0.6 in decimal form. The difference would be 0.3 or 3/10. :)

Answer:

3:4

Step-by-step explanation:

Before we start to deal with the ratio, we need all lengths in the same units.

The width is 18 inches.

The height is 2 feet.

Let's convert the height to inches. Then we will have both dimensions in the same units, inches.

2 ft * (12 in.)/ft = 24 in.

Now we have:

width = 18 in.

height = 24 in.

ratio of width to height = 18 in. to 24 in. = 18/24 = 3/4 = 3:4

Answer:

C: 56

Step-by-step explanation:

Hi there,

To find the least common multipul (LCM) of 8 and 14, you can list off the multipules of each, and see what they have in common.

Multiples of 8:

8, 116, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112

Multiples of 14:

14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182

When you list off the multipules of both numbers, they have 56, and 112, in common. The problem is asking for the least common multiple the answer is 56.

Hope this helps!

- Emily

Answer:

The probability that the first block will be green and the second will be yellow is  [tex]\frac{1}{9}[/tex]  or 0.111.

Step-by-step explanation:

We are given that a bag contains 5 yellow blocks, 2 green blocks and 3 blue blocks.

Also, we choose one block and then another block without putting the first one back in the bag.

Firstly, as we know that Probability of any event is given by ;

           Probability of an event  =  [tex]\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}[/tex]  

SO, Probability that the first block will be green =  [tex]\frac{\text{Number of green blocks}}{\text{Total blocks in the bag}}[/tex]

Here, Number of green blocks = 2

Total number of blocks in bag = 5 yellow + 2 green + 3 blue = 10 blocks

So, Probability that the first block will be green  =  [tex]\frac{2}{10}[/tex]

Similarly, Probability that the second block will be yellow =  

                               [tex]\frac{\text{Number of yellow blocks}}{\text{Total number of remaining blocks in the bag}}[/tex]

Here, Number of yellow blocks = 5

Total number of remaining blocks in bag = 10 - 1 = 9 blocks  {because we haven't put the block back after choosing the first}

So, Probability that the second block will be yellow  =  [tex]\frac{5}{9}[/tex]

Now, Probability that the first block will be green and the second will be yellow  =  [tex]\frac{2}{10} \times \frac{5}{9}[/tex]

            =  [tex]\frac{1}{9}[/tex]  = 0.111

Hence, the required probability is 0.111.

Answer: A) y=25,   B) y=10  C) y=-5  D)y=-20

Step-by-step explanation:

So whenever you have a question like this just plug in the values.

A) x=0

y= -3x+25 will now turn into y=0+25, so y=25

B) x=5

y= -3x+25 is now y= -15 +25, so y=10

C) x=10

y= -3x+25 is now y= -30+25, so y=-5

D) x=15

y=-3x+25 is now y= -45+25, so y=-20

Answer:

1. 23.55 in

2. 102.36 mm

Step-by-step explanation:

The circumference of a circle is calculated by the formula: [tex]C=\pi d=2\pi r[/tex] , where d is the diameter and r is the radius.

We can use this to answer both problems.

1. Since the diameter is 7.5 inches, then d = 7.5. Substitute this into the equation: [tex]C=\pi *7.5=3.14*7.5=23.55[/tex]. So, the circumference is 23.55 inches.

2. Here, the radius is 16.3 mm, so r = 16.3. Substitute this into the equation: [tex]C=2\pi r=2*3.14*16.3=102.364=102.36[/tex]. So, the circumference is 102.36 mm.

Hope this helps!

Answer:

1) 23.55 inches

2) 102.36 mm

Step-by-step explanation:

C = pi × d

1) C = 3.14 × 7.5

= 23.55

C = 2 × pi × r

2) C = 2 × 3.14 × 16.3

= 102.364 mm

Answer: 80 degrees

Step-by-step explanation:

A triangle has 180 degrees.

25+75=100

180-100= 80

That means the other angle must equal 80 degrees

Answer:

If it is asking for the order of the letters, it would be: Δ J H E

Explanation:

You have to put the letters in the same order that they were on the first triangle.

Hope this helps!!  :)

Answer:

Step-by-step explanation:

10^2 + b^2 = 26^2

100 + b^2 = 676

-100 -100

b^2 = 576

square root of b equals b

square root of 576 equals 24

The other leg equals 24

Answer:

24mm

Step-by-step explanation:

Using Pythagoreans Theorem, a^2+b^2=c^2

a^2+10^2=26^2

a^2+100=676

a^2=576

a= sqrt 576

a=24mm

Answer: 18π units³ or 56.52 units³

Step-by-step explanation: Notice that the figure shown here is a cylinder. To find the volume of a cylinder, start with the formula for the volume of a cylinder which is shown below.

Volume = πr²h

Here, notice that our cylinder has a radius

of 3 units and a height of 2 units.

So we have (π)(3 units)²(2 units).

Start by simplifying the exponent.

(3 units)² is (3 units)(3 units) or 9 units².

So we have (π)(9 units²)(2 units).

Now, (9 units)²(2 units) is 18 units³.

So we have 18π units³.

So the volume of the cylinder shows here is 18π units³.

Remember that π is approximately equal to 22/7 or 3.14. So we can estimate the value of the volume by plugging in 3.14 for π.

So we have (18)(3.14) which is equal to 56.52.

So the value of the volume is approximately 56.52 units³.

Answer:

c = 27/40.

Step-by-step explanation:

1/8 + c = 4/5

1/8 - 1/8 + c = 4/5 - 1/8

c = 4/5 - 1/8

c = 32/40 - 5/40

c = 27/40.

Answer:

y = 4x

Step-by-step explanation:

Given that y and x vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition that x = 2, y = 8

8 = 2k ( divide both sides by 2 )

4 = k, thus

y = 4x ← equation of variation

Answer:

[tex]d = \sqrt{3} * a = \sqrt{3} * 5 = 8.7[/tex]

Step-by-step explanation:

plz give brainliest

Answer:

False

Step-by-step explanation:

The image is after pre-image

Answer:

y = 15x

11x + y = 286

where

y = number of miles driven by the truck driver

x = number of hours the truck driver drives

Solving this gives, x = 11 hours and y = 165 miles.

Step-by-step explanation:

Let the number of hours the truck driver drives be x.

Let the number of miles driven by the truck driver be y.

Since the truck driver drives at 15 miles per hour, the number of miles covered by the driver y, can be given from the speed equation.

Speed = (distance/time)

15 = (y/x)

y = 15x.

And the drivers are paid $11 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance.

Meaning that on a day that the truck driver drives y miles for x hours, the total pay, C, is given as

C = 11x + 1y = 11x + y

So, on this fateful day, the total amount paid to a truck driver was $286

So, C = $286

11x + y = 286.

So, the two equations for the scenarios are

y = 15x

11x + y = 286

Solving this gives, x = 11 hours and y = 165 miles.

Hope this Helps!!!

The system of a linear equation that could be used to determine the number of hours the driver worked and the number of miles the truck drove is : (11x + y = 286) and (y = 15x).

Given :

The following steps can be used in order to determine the system of linear equations:

Step 1 - Let the total number of miles be 'x' and the total number of hours be 'y'.

Step 2 - The linear equation that represents the total expenses for the driver, gas, and truck maintenance is given by:

11x + y = 286

Step 3 - The linear equation that represents the situation that the driver drove an average of 15 miles per hour is given by:

y = 15x

So, the system of a linear equation that could be used to determine the number of hours the driver worked and the number of miles the truck drove is : (11x + y = 286) and (y = 15x).

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Use the slope formula to find slope m. y2-y1/x2-x1

m=2/5

Answer:i would say A i think

Step-by-step explanation:

Answer:

y = 4x (? See parentheses in explanation)

Step-by-step explanation:

First, change this equation to slope-intercept form.

Then, look at the slope and that is the slope of the parallel line.

(I don't know if the line is supposed to pass through a specific point, but if it does, then use point-slope form.)

Answer:

There are an infinite number of solutions to this queston, but you can find an answer by writing:  

8x+2y = k   ;  where k is any number but 12.

Step-by-step explanation:

Answer:

13.18% or 0.1318

Step-by-step explanation:

please see the attached files for explanation

Final answer:

The possible side lengths for a cubic aquarium that can hold between 4096 cubic inches and 8000 cubic inches of water are between 16 inches and 20 inches.

Explanation:

To find the possible side lengths of an aquarium in the shape of a cube that holds between 4096 cubic inches and 8000 cubic inches of water, you need to find the cube root of each volume since the volume of a cube is V = s³, where s is the side length.

For the minimum volume (4096 cubic inches):
[tex]\sqrt[3]{4096}[/tex] = 16 inches.

For the maximum volume (8000 cubic inches):

[tex]\sqrt[3]{8000}[/tex] = 20 inches.

Hence, the side lengths of the aquarium must be between 16 inches and 20 inches.

Answer:

yes

Step-by-step explanation:

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