Flying to Houston with a tailwind a plane averaged 107 mph. On the return trip the plane only averaged 85 mph while flying back into the same wind. Find the speed of the plane in still air and the speed of the wind

Answer:

6.21 × 10⁵

Step-by-step explanation:

move thee decimal from .21000 thats how you get 5

Answer:

There will be 18 boys.

Step-by-step explanation:

im assuming you are looking for how many boys are left,I did 60% by 30 = 18

Answer:

there are 18 girls

Step-by-step explanation:

one really cool trick is the total like 30 x 0.60 this will give you the percentage

Answer: -1536

Step-by-step explanation:

1: 4(3+3) (3+1) (3+5) (3-5)

2: 4(6) (4) (8) (-2)

3: 24 (4) (8) (-2)

4: 96 (8) (-2)

5: 768 (-2)

= -1536

Step-by-step explanation:

work is shown and pictured

The value of angle B is 69°.

It should be noted that the sum of a complementary angle is 90°.

Therefore, the value will be:

x + 13 + 7x + 13 = 90

8x + 26 = 90

Collect like terms

6

8x = 90 - 26

8x = 64

Divide

x = 64/8

x = 8

Angle B = 7x + 13

= 7(8) + 13

= 56 + 13

= 69

Angle B is 69°.

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The coordinates of point T is (9,-2)

Given that A is the midpoint of segment ST. midpoint A has coordinates (7,-1) and point S has coordinates ( 5,0 ) and asked to find the coordinates of the point T

Let's assume the  coordinates of the point T as(a,b)

Midpoint formula for a line segment having endpoints (x1,y1) and (x2,y2)

Let's assume the midpoint as (X,Y)

(X,Y)=([tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])

Here the endpoints of the linesegment ST are S(5,0) and T(a,b) and the midpoint of the linesegment ST is A and has coordinates (7,-1).

⇒(7,-1)=([tex]\frac{5+a}{2}[/tex],[tex]\frac{b}{2}[/tex])

⇒7=[tex]\frac{5+a}{2}[/tex]⇒14=5+a⇒a=9

⇒-1=[tex]\frac{b}{2}[/tex]⇒b=-2

Therefore,The coordinates of point T is (9,-2)

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Answer: x=700+15

Step-by-step explanation: an educated guess

Answer:

y = 15x + 700

Explanation:

In this sentence said Max already has $700 which means it should be constant value in the equation. Max earns $15 for each lawn he cuts.

Linear equation:

where 'm' is rate of change, 'b' is constant value

So, the equation should be (for total money Max saved):

where y represents total money Max saved and x = number of lawns cut.

The Average Rate of change of a function f on the interval [a , b] is given by

[tex]r=\frac{f(b) - f(a)}{b-a}[/tex]

Now, the given interval is [1, 5]

⇒ b=5 and a = 1

Since, the graph passes through (1, 3) and (5, 5)

⇒ f(1) = 3 and f(5) = 5

Thus,

[tex]r=\frac{f(5) - f(1)}{5-1}[/tex]

[tex]r=\frac{5- 3}{4}[/tex]

[tex]r=\frac{2}{4}[/tex]

[tex]r=\frac{1}{2}[/tex]

[tex]r=0.5[/tex]

∴ The Average Rate of change of the graph is equal to 0.5

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The length of a rectangle is 27 inches and the width of a rectangle is 12 inches.

Given that, the length of a rectangle is three more than double the width and the perimeter of a rectangle = 78 inches.

We need to find the dimensions of the rectangle.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Let the width of the rectangle be x.

Then, length=2x+3

Now, perimeter=2(2x+3+x)

⇒ 78=2(3x+3)

⇒ 3x+3= 39

⇒ 3x=36

⇒ x=12 inches

So, width=12 inches and length=2x+3=27 inches

Therefore, the length of a rectangle is 27 inches and the width of a rectangle is 12 inches.

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Answer:

1.1n represents the cost of the pencils

1.7m is the cost of the pads of paper

The expression represents that she bought a package of pencils and a pad of paper

Step-by-step explanation:

Answer:

a = 6

Step-by-step explanation:

Hello!

First, let's isolate the Absolute Value bracket.

Based on the definition of Absolute value, the outcome should always be a positive number. Therefore, if the product, 4 - a, is a negative number, it will have no solutions.

That means a has to be greater than 4 for it to be negative. a should be 6.

a = 6

Answer: 3

Step-by-step explanation:

3 * 3 * 3 = 27

Answer:

3

Step-by-step explanation:

The expression is cube root.

The root function essentially wants to find a number that when multipled n times will give the input to the function.

In this case n = 3

We need a number when multiplied by itself 3 times will give us 27.

In other words we need [tex]x^{3}[/tex] = 27

If u rearrange u simply get the expression given and u can solve simply by way of calculator.

in slope intercept form:

y=mx+b.

slope of line:

-3/4

y intercept:

(0, 5/2)

The number of hours needed for the second press to complete the job is 3 hours.

An equation represents the relationship of two expressions on either side of the sign

Given that together they can complete a job in 2 hours and one takes 6 hours to complete the work alone.

If we let x = amount of time required for the second press to complete the job alone

We can write as:

Second press work = 1/x of the job per hour.

First press work = 1/6 of the job per hour.

Together work = 1/2 of the job per hour.

We can write the equation as:

1/6 + 1/x = 1/2

1/x = 1/2 - 1/6

1/x =  (3 - 1)/6

1/x = 2/6

1/x = 1/3

x = 3

Thus number of hours needed for the second press to complete the job is 3 hours.

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Answer:

2.1/5

3.7/5

4.7/20

Step-by-step explanation:

2.1/5

3.7/5

4.7/20

Greetings from Brasil...

A - fraction addition/subtraction with equal denominators = keep the denominator and add/subtract only the numerators

B - fraction addition/subtraction with different denominators = we have to use LCM

2)

(10/15) - (7/15) - case A

(10 - 7)/15 = 3/15

3)

(8/10) + (3/5) - we can simplify the first fraction

(8/10) + (3/5) = (4/5) + (3/5) = (4 + 3)/5 = 7/5

4)

(3/4) - (2/5) - case B

LCM 4 and 5 = 20

(3/4) - (2/5) = 7/20

The ages of Wilson, Randy and Greg given their total ages is 7, 10 and 15 years respectively.

This means that the total ages of Wilson, Randy and Greg is 7 years, 10 years and 15 years.

Let's represent the information above as follows:

The total ages = Wilson + Randy + Greg

That is, Wilson's age, Randy's age and Greg's ages is given as:

32 = x + (x + 3) + (x + 3) + 5

32 = x + x + 3 + x + 3 + 5

32 = 3x + 11

32 - 11 = 3x

21 = 3x

x = 21/3

x = 7 years

Therefore, from the calculations above,

Wilson's age = x

= 7 years

Randy's age = (x + 3)

= 7 + 3

= 10 years

Greg = (x + 3) + 5

= (10) + 5

= 15 years

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Theoretical probability is what might happen, but the experimental probability is definitely happens in trials. The probability in these cases is 0.25.

Theoretical probability is based on the total outcomes vs the desired outcomes; due to this, this is just the expectation of what will hapen. However, as this is mainly based on expectations, it is not completely accurate.

On the other hand, the experimental probability is based on the observation of reality as the probability is tested, which makes it more accurate.

Desired outcomes /total outcomes

Probability of getting red in the spinner:

Probability of getting a 4 in a dice

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By graphing the equation y = 0.2x, we find that x is equal to -10 when y is -2, x is equal to 0 when y is 0, and x is equal to 10 when y is 2.

To graph the equation y = 0.2x, we can plot a few points and then connect them to create the line.

Let's calculate the corresponding values of x when y takes on the values of -2, 0, and 2:

When y = -2:

-2 = 0.2x

x = -2 / 0.2

x = -10

When y = 0:

0 = 0.2x

x = 0 / 0.2

x = 0

When y = 2:

2 = 0.2x

x = 2 / 0.2

x = 10

Using these values, we can plot the points (-10, -2), (0, 0), and (10, 2) on the coordinate plane. Drawing a line passing through these points, we obtain the graph of the equation y = 0.2x.

The graph will be a straight line that passes through the points (-10, -2), (0, 0), and (10, 2). The line will have a positive slope, indicating that as x increases, y increases at a slower rate.

The graph visually represents the relationship between x and y according to the equation y = 0.2x. It shows that for every increase of 1 unit in x, y increases by 0.2 units.

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2(x+1)+4

Distributive property : According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

solve equation by using distributive property we should use laws of this property that are as follows:

Expand the equation. Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set. Combine like terms.

2(x + 1) + 4 = 8

2(x)+2(1)+4=8

2x+2+4=8

2x+6=8

2x=8-6

2x=2

x=2/2

x=1

so final conclusion is Option A  2(x+1)+4=8 is the right answer

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Answer:

- 6x² + 8x

Step-by-step explanation:

- 2x(3x - 4) ← multiply each term in the parenthesis by - 2x

= - 6x² + 8x

Answer:

1; 1

2:3

3:9

4:27

5:81

6:243

7:729

8:2,187

9:6,561

10:19,683

11:59,049

12:177,147

64 minutes

Step-by-step explanation:

1x2=2 it day one

2x2=4 it day two

and more

32x2=64 it day 7

Step-by-step explanation:

[tex] \frac{3x - 5}{4} \leq1[/tex]

[tex]3x - 5 \leq1 .4[/tex]

[tex]3x - 5 \leq4[/tex]

[tex]3x \leq4 + 5[/tex]

[tex]3x \leq9[/tex]

[tex]x \leq \frac{9}{3} [/tex]

[tex]x \leq3[/tex]

x = {3,2,1,0,...}

All rhombus are parallelograms, parallelogram have exactly two pairs of parallel lines, therefore all rhombus have exactly two pairs of parallel lines, so option A is correct.

A unique kind of quadrilateral created by parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but for it to be a parallelogram, its opposite sides must be parallel.

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. Every rhombus is a parallelogram because its opposite sides are all parallel. But all parallelograms cannot be rhombus as a rhombus have all sides equal.

Both a square and a rhombus have equal numbers of sides. The square's diagonals are also perpendicular to one another and divide the opposing angles. A square is a rhombus as a result.

Thus, all rhombus are parallelograms as they have one pair of parallel sides.

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False, if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution.

What does the term "echelon form" mean?

What purpose does echelon matrix serve?

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Answer:that would be 24

Step-by-step explanation: A triangle is a three side shape so after you multiply 6 and 8 thats 48 but then you multiply by 1/2 which is the same as dividing by 2 so (48/2)=24 and thats your answer hope this helps

Answer:

the value of a car is gradually declining in such a way that at the end

Step-by-step explanation:

I don't know what to say