A plane traveled 5525 miles with the wind in 8.5 hours and 4505 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is ____(hours.miles.mph) ​(Simplify your​ answer.)

Answer:

11 hours

Step-by-step explanation:

First, you have to subtract 144-52= 92. After the initial fee, she has 92 dollars to spend on the car. Then, you divide 92 by 8 because it costs 8 dollars an hour. And this gets you 11.5 which you would have round down because she can't pay for the extra hour. She does not have enough money.

Answer:

x² - 9

Step-by-step explanation:

Given

(x + 3)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 3(x - 3) ← distribute both parenthesis

= x² - 3x + 3x - 9 ← collect like terms

= x² - 9

Answer:

Step-by-step explanation:

[tex](x + 3)(x - 3)[/tex]

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )

[tex]x(x - 3) + 3(x - 3)[/tex]

Calculate the product

[tex] {x}^{2} - 3x + 3x - 3 \times 3[/tex]

Multiply the numbers

[tex] {x}^{2} - 3x + 3x - 9[/tex]

Since two opposites add up to zero, remove them from the expression

[tex] {x}^{2} - 9[/tex]

Hope this helps..

Best regards!!

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

i checked on edge

Answer:

Step-by-step explanation:

Due to the '+1', the graoph of x^2 is shifted 1 unit to the left.  The '+9' results in the entire graph being shifted downward 9 units.

Answer:

1: 90º

2: 25º

Step-by-step explanation:

Hey there!

Well we know that all the middle angles are 90º right angles,

so we can conclude that angle 1 is 90º.

All the angles in a triangle add up to 180 so we can set up the following,

65 + 90 + x = 180

Combine like terms

155 + x = 180

-155 to both sides

x = 25º

So angle 2 is 25º.

Hope this helps :)

Answer:

Below

Step-by-step explanation:

From the kite you easily notice that 1 is a right angle so its mesure is 90°.

2 is inside a triangle. This triangke has two khown angles: a right one and a 65° one.

The sum of a triangle's angles is 180°.

● (2) + 90+65 = 180

● (2) +155 =180

● (2)= 180-155

●(2) = 25°

Answer:

Table B

Step-by-step explanation:

Note that for y to vary inversely as x, an increase in x will cause a decrease in y. Therefore, by careful observation of tables A, B, C, and D, we would notice the following:

In table C:

As x increases from 1 to 2 to 3, y also increases from 26 to 52 to 78. Which means that an increase in x causes an increase in y. This is not an inverse variation.

In table D:

As x increases from 1 to 2 to 3, y also increases from -7 to -1 to 6. Which means that an increase in x causes an increase in y. This is also not an inverse variation.

We are left with options A and B

If y varies inversely as x, the following relationship must hold:

[tex]y \alpha \frac{1}{x}\\y = \frac{k}{x}[/tex]

Where k is a constant of proportionality

considering option B:

When x = 1, y = 36

36 = k/1

k = 36 * 1

k = 36

when x = 2, y = 36/2

y = 18

when x = 3, y = 36/3

y = 12

These tally with all that is indicated in the table. Option B is an inverse variation

Answer:

a) 4.50m/s²

b) v= 21

c) 11.25m/s

Step-by-step explanation:

a) rate of change of speed in first 2 seconds

= gradient of graph from t=0s to t=2s

The two points are (0,0) and (2,9).

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Rate of change of speed

[tex] = \frac{9 - 0}{2 - 0} \\ = \frac{9}{2} \\ = 4.50m/ {s}^{2} [/tex]

Total distance= area under graph

Distance travelled for first 6s

= area of traingle +area of rectangle

= ½(2)(9) +(6-2)(9)

= 9 + 4(9)

= 9 +36

= 45m

Distance travelled from t=6s to t=12s

= 135 -45

= 90m

Area under graph from t=6s to t=12s =90

Area of trapezium= 90

½(A +B)(h)= 90

½(9+ v)(6)= 90

3(9 +v)= 90 (simplify)

9 +v= 30 (÷3 throughout)

v= 30 -9

v= 21

c) Average speed

= total distance ÷total time

= 135 ÷12

= 11.25 m/s

Answer: A) The total cost of 2 candies is $6.00.

Step-by-step explanation:

Hi, the question is incomplete,  options are :

A) The total cost of 2 candies is $6.00. B) The total cost of 6 candies is $2.00. C) The total cost of 2 candies is $3.00. D) The total cost of 3 candies is $2.00.  

So, to answer this question we have to analyze the function given:

f(2)=6

Since the input value x (number of candles) is 2, and the output (cost in dollars ) is $6, the correct option is :

A) The total cost of 2 candies is $6.00.  

Answer:

Ratio of sugar and flour

2:7

Ratio of milk and oil

3:1

Step-by-step explanation:

Here in this question, we shall be writing ratios based on the given number of cups in the question.

We start with ratio of sugar to flour.

We have;2 cups of sugar and 7 cups of flour. Thus we have the ratio of sugar to flour as 2:7

Also we want the ratio of milk and oil

we have 3 cups of milk and 1 cup of oil

So the ratio of milk and oil is 3:1

Answer: TO be short for it its B! :D

A cake mix calls for these ingredients.

2 cups of sugar

7 cups of flour

3 cups of milk

1 cup of oil

Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?

3/7 > 2/1

2/7<3/1

7/1<2/3

3/2>1/7

2

SEE ANSWERS

Advertisement

Answer

4.0/5

42

jazminlowery

Ambitious

5 answers

301 people helped

2/7<3/1

with 2 cups of sugar to 7 cups of flour that is a small ratio/ fraction while as

3 cups of milk to 1 cup of oil is a larger ratio/fraction.

douwdek0 and 60 more users found this answer helpful

THANKS

42

4.0

(18 votes)

Answer

4.0/5

24

ColinJacobus

Ambitious

3.7K answers

40.4M people helped

Answer:  The correct option is (B).

The ratio of  sugar to flour is  and the ratio of milk to oil is

Step-by-step explanation:  Given that a cake mix calls for the following ingredients:

2 cups of sugar , 7 cups of flour , 3 cups of milk  and 1 cup of oil.

We are given to write the ratios of sugar to flour and milk to oil and select the correct comparison of the ratios.

The ratio of sugar to flour is given by

and the ratio of milk to oil is given by

Since

so have

Thus, the ratio of  sugar to flour is  and the ratio of milk to oil is  The correct comparison is

Option (B) is CORRECT.

Step-by-step explanation:

Answer:

????

Step-by-step explanation:

Where is the question????

Answer:

no solution

Step-by-step explanation:

x+y=7

x=3-y​

Substitute the second equation into the first

(3-y) +y = 7

Combine like terms

3 = 7

This is never true so there is no solution

Answer:

[tex]\boxed{\mathrm{No \: solution}}[/tex]

Step-by-step explanation:

x + y = 7

Plug x = 3 - y

3 - y + y = 7

Combine like terms.

3 = 7

No solution.

Answer: I. True

II. True

III. True

Step-by-step explanation:

Uniform probability distributions, this are probability distributions which have equally likely outcomes. There are two known types of uniform distributions:

1. discrete

2. continuous.

In the first type of distribution, each outcome is discrete. In a continuous distribution, outcomes are continuous this means they are usually infinite.

Step-by-step explanation:

3(x-2)+1

= 3x-6+1

= 3x-5

Answer:

Step-by-step explanation:

3(x-2)+1=

Then distribute, and now you get:

3x-6+1=

Now combine like terms, and now you get:

3x-5=

There is nothing much to do because there isn't a answer for it

Answer:

The answer is below

Step-by-step explanation:

A transformation of a point is the movement of an point from an initial position to a new position. If an object is transformed, all the point of an object is transformed. Two figures are said to be congruent if they have the same shape and the measure of each of their sides are the same.

An object is congruent to another object if the object can be mapped to the other object when transformed.

Answer:

The answer is c

Step-by-step explanation:

It is the correct solution because you are able to map circle m onto m

Answer:

The maximum size of the smaller jars is 6 liters

Step-by-step explanation:

Container 1=174 liters of oil

Container 2=258 liters of oil

Same pours the entire content of container one and container 2 into the same number of smaller jars

The maximum size of the smaller jar can be found by finding the highest common factor of 174 and 258

Factors of 174=1,2,3,6,29

Factors of 258=1,2,3,6,43

Common factors of 174 and 258=1,2,3 and 6

Highest common factor=6

Therefore,

The maximum size of the smaller jars is 6 liters

Answer:

Step-by-step explanation:

1. 6x + 12 = 3x - 27

   3x + 12 = -27

   3x = -39

    x = -13

2. 2p - 3 = 3p + 2

    -p - 3 = 2

     -p = 5

      p = -5

3. 6x - 2 - 35x -28 = 18x - 27

   -29x - 30 = 18x - 27

   -47x - 30 = -27

    -47x = 3

    x = -3/47

Answer:

901.1 km²

Step-by-step explanation:

The area of ∆WXY can be found using the formula, ½*a*b*sin(θ),

Where a and b, are two known sides of the triangle, and θ is the angle between both sides.

To find the area of ∆WXY, follow the steps below:

Step 1: Find XY using the law of sines.

m < W = 180 - (65 + 48) (sum of angles in a ∆)

W = 180 - (113) = 67°

X = 65°

WY = 49 km

XY = ?

[tex] \frac{XY}{sin(W)} = \frac{WY}{sin(X)} [/tex]

[tex] \frac{XY}{sin(67)} = \frac{49}{sin(65)} [/tex]

[tex] \frac{XY}{0.92} = \frac{49}{0.91} [/tex]

Cross multiply

[tex] XY*0.91 = 49*0.92[/tex]

Divide both sides by 0.91

[tex] \frac{XY*0.91}{0.91} = \frac{49*0.92}{0.91} [/tex]

[tex] XY = 49.54 [/tex]

XY ≈ 49.5

Step 2: find the area

Area = ½*WY*XY*sin(Y)

Area = ½*49*49.5*sin(48)

Area = ½*49*49.5*0.743

Area = 901.07325

Area = 901.1 km² (nearest tenth)

Answer:

m∠CDE = 60°

Step-by-step explanation:

Given that the arc at the center = 2 times the arc at the circumference, we have;

Angle at the center = arc CE = 120°

Whereby the angle at the circumference is given as m∠CDE and it is opposite the circle arc CE

We note that m∠CDE is the acute angle between chord DC and DE

Therefore, we have;

Angle at the center = 120° = 2 times the arc at the circumference = 2 × m∠CDE

120° = 2 × m∠CDE

m∠CDE = 120/2 = 60°

Therefore the angle of m∠CDE is equal to 60°.

Answer:

Volume of the smaller cone = 8.34 cm³

Step-by-step explanation:

"If two figures are similar, their dimensions will be proportional.

Following this rule,

Ratio of the dimensions of two cones = [tex]\frac{\text{Radius of the large cone}}{\text{Radius of the small cone}}[/tex]

                                                               = [tex]\frac{r_2}{r_1}[/tex]

                                                               = [tex]\frac{5}{2}[/tex]

                                                               = 2.5

Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".

Ratio of the volumes = (ratio of the dimensions)³

[tex]\frac{V_1}{V_2}=(2.5)^3[/tex]

[tex]\frac{131}{V_2}=15.625[/tex]

[tex]V_2=\frac{131}{15.625}[/tex]

    = 8.384 cm³  

    ≈ 8.4 cm³

Therefore, volume of the smaller cone is 8.4 cm³.                          

Answer:

-5

Step-by-step explanation:

2^2*(3-8)÷5-1

4*(-5)÷4

-20÷4

=-5

Answer:

-5

Step-by-step explanation:

Firstly 2^2=4, 4(3-8)=4*(-5)= -20, -20/5 -1= -4-1= -5

Answer:

x=8

Step-by-step explanation:

Area is equal to

A = l * w

50 = ( x+2) ( x-3)

FOIL

50 = x^2 -3x+2x -6

Combine like terms

50 = x^2 -x -6

Subtract 50 from each side

0 = x^2 -x -56

Factor

What two numbers multiply to -56 and add to -1

-8*7 = -56

-8+7 = -1

0 = ( x-8) ( x+7)

Using the zero product property

x-8 =0   x+7 =0

x = 8   x=-7

Since the length cannot be negative x cannot be negative

x=8

Answer:

8

Step-by-step explanation:

put the 50 under area and continue with like that

Answer:

see explanation

Step-by-step explanation:

(1)

0.5 = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]

(2)

3.8 = 3 [tex]\frac{8}{10}[/tex] = [tex]\frac{10(3)+8}{10}[/tex] = [tex]\frac{30+8}{10}[/tex] = [tex]\frac{38}{10}[/tex] = [tex]\frac{19}{5}[/tex]

Answer:

  9.1 mph

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  s = √(30×drag factor×skid distance×braking efficiency)

  s = √(30×0.90×3.8×0.80) = √82.08 ≈ 9.06

The car was traveling about 9.1 mph before it started skidding.

Answer:

volume 1 =763 cm3

volume 2 = 6,104 cm3

Second volume is 8 times greater than the first volume.

Surface area 1 = 466 cm2

surface area 2 =1,865 cm2

second surface area is 4 times greater than the first surface area .

Step-by-step explanation:

Volume of a cylinder: π radius^2 x height

Radius = diameter /2 = 9/2 = 4.5

V = 3.14 x 4.5^2 x 12 = 763 cm3

Surface area: (3.14 r^2)2 + 2(π x radius x height)

Sa = (3.14 x 4.5^2 )2 + 2(3.14 x 4.5 x 12 )=466 cm2

Since the second canister is double the size:

Radius = 4.5 x 2 = 9

Height = 12 x 2 =24

V = 3.14 x 9^2 x 24 = 6,104 cm3

Sa = (3.14 x 9^2 )2 + 2(3.14 x 9 x 24 )=1,865 cm2

Dividing the second volume by the first one:

6,104/ 763 = 8  

Second volume is 8 times greater than the first volume.

Dividing the second surface area by the first one:

1865/466 = 4

second surface area is 4 times greater than the first surface area .

Answer:

x=60

Step-by-step explanation:

x=1/2(240-120)

x=60

Answer:

(5, -3)

Step-by-step explanation:

Coordinates are located on Cartesian planes (more like locating a point on a graph). Cartesian coordinates can be two dimensional or three dimensional in nature depending on the number of axis we are considering. For the question, the dimension of the required coordinate is 2-dimensional i.e (x,y).

On the Cartesian plane, we have the x axis along the horizontal plane and y axis along the vertical.

Note that positive values lies towards the right of the x-axis and also up the y-axis. The negative values lies towards the left of the x-axis and also down the y-axis.

According to the question, if a point is lying on x axis at a distance of 5 units to the right of x axis, then the value of x will be +5 i.e x = +5

Also, if a point lies on the y axis at a distance of 3 units below the origin, then the value of y will be -3 i.e y = -3.

Hence, the coordinates satisfying this points (x,y) is (5, -3)

Answer: w= 52h

Step-by-step explanation:

Given: Maya is interning at a law firm over the summer and is paid by the hour.

Her hourly pay = $52

i.e. She is paid $52 per hour.

Let the wages she earns is denoted by 'w' and the number of hours is denoted by 'h'.

Now, (Total wages earned) = (hourly pay) x (Number of hours)

w = (52) (h)

⇒ w= 52h

Hence, the equation represents the proportional relationship between the wages she earns (w) and the number of hours (h): w= 52h

Answer:52h

Step-by-step explanation: tried got it right

Answer:

Step-by-step explanation:

This is trying to help you understand a method of factoring trinomials.

The first step is to look at the linear term (-5x) and the constant term (-24) and identify the coefficients and their signs: -5 and -24.

The next step is to identify factors of -24 (the constant) that have a sum equal to -5 (the linear term coefficient). We can look at the ways that -24 can be factored:

  -24 = 1(-24) = 2(-12) = 3(-8) = 4(-6)

The sums of these factor pairs are 1-24=-23, 2-12=-10, 3-8=-5, 4-6=-2. Of course, the pair we're looking for is +3 and -8.

The next step from here is to rewrite the linear term using these factors. (-5x=3x-8x) This is the first step of the sequence shown in the figure:

  x² +3x -8x -24

The next step is to group these terms in pairs:

  (x² +3x) +(-8x -24)

And then, to factor each pair using the distributive property:

  x(x +3) -8(x +3)

Finally, finish the factoring, again using the distributive property:

  (x +3)(x -8)

Answer:

0.03

Step-by-step explanation:

Khan

The amount of money the Trevor's family pay per minute on shower water is $0.03

Cost of water used per minute = Water used by each person per month / Time each person spent bathing × Cost of water per liter

= 72 / 480 × 0.20

= 0.15 × 0.20

= $0.03

Learn more about cost:

https://brainly.com/question/19104371

Answer:

9/13

Step-by-step explanation:

rise = y₂ - y₁ = -1 - (-10) = -1 + 10 =   9

run = x₂ - x₁ =   9 - (-4)   =   9 +   4 = 13

Step-by-step explanation: