A pilot flew a 400-mile flight in 2.5 hours flying into the wind. Flying the same rate and with the same wind speed, the return trip took only 2 hours, with a tailwind.

What was the speed of the wind?

miles per hour

Answer: -4

Step-by-step explanation:

Solve 2x+7=-1

2x. =-8

x. =-4

Answer:

-4

Step-by-step explanation:

To find the value you have to substitute x for -1. because f(x) = -1.

-2x + 7 = -1

-7= -7

-2x =-8

÷-2

x=-4

Hope it helps!

Answer:

x=1

Step-by-step explanation:

-5 - (15x-1) = 2(7x-16) -x

Distribute the negative sign

-5-15x+1 = 2(7x-16)-x

Distribute the 2

-5-15x+1 = 14x -32-x

Combine like terms

-4-15x = 13x-32

Add 15x to each side

-4-15x+15x = 13x+15x-32

-4 = 28x-32

Add 32 to each side

-4+32 = 28x-32+32

28 = 28x

Divide each side by 28

28/28 = 28x/28

1 =x

[tex](-4qr)(-4qr)(-4qr)(-4qr)=(-4qr)^4=256q^4r^4[/tex]

To rewrite the expression (-4qr)(-4qr)(-4qr)(-4qr) using the properties of exponents, we can rewrite it as (-4qr)^4 = 256q^4r^4.

To rewrite the given expression (-4qr)(-4qr)(-4qr)(-4qr) using the properties of exponents, we need to understand that multiplying the same base with different exponents is equivalent to adding the exponents. In this case, the base is (-4qr) and the exponents are 1 for each occurrence. So, we can rewrite the expression as:

(-4qr)4 = -44q4r4 = 256q4r4

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Originally there are 6 cats

5 run away so take 5 away from 6:

6 - 5 = 1

This means there is only one cat left, but now 10 more cats came:

1 + 10 = 11

There are 11 cats

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

11.

Step-by-step explanation:

6 - 5 + 10

= 11.

Answer:

length=72

width=63

Step-by-step explanation:

Let us start by supposing the following:

w=w

l=9+w

2l+2w=p(perimeter)

2(9+w)+2*w=270

    2w+2w+18=270

            4w+18=270

                   4w=252

                     w=63

                      l=72

We used the perimeter formula, 2l+2w=P(perimeter)

Final answer:

To calculate the dimensions of the rectangle, we use the perimeter formula P=2l+2w. After setting up an equation with the given perimeter and relationship between length and width, we find the width to be 63 cm and the length to be 72 cm.

Explanation:

The problem states that the length of a rectangle is 9 cm more than its width and that the perimeter is 270 cm. To find the dimensions of the rectangle, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

Let's denote the width of the rectangle as w cm. Then the length would be w + 9 cm. We can substitute these expressions into the perimeter formula to obtain:
270 = 2(w + 9) + 2w

Simplify and solve for w:
270 = 2w + 18 + 2w
270 = 4w + 18
252 = 4w
w = 63 cm

Now that we have the width, we can find the length:
l = w + 9 = 63 + 9 = 72 cm

Therefore, the width is 63 cm, and the length is 72 cm.

Answer:

bottom left graph

Step-by-step explanation:

A proportional relationship is linear, represented by a straight line graph passing through the origin.

The graph on the bottom left is straight line passing through the origin.

Answer:

x^2 +3

Step-by-step explanation:

f(x) = 2x^2 + 2

g(x) = x^2 - 1

(f - g)(x) = 2x^2 + 2 -( x^2 - 1)

     Distribute the minus sign

              2x^2 +2 -x^2 +1

              x^2 +3

[tex](f-g)(x)=2x^2+2-(x^2-1)=2x^2+2-x^2+1=x^2+3[/tex]

Answer:

2) -81t² +16

Step-by-step explanation:

(9t -4)(-9t -4) = (9t x -9t) + (9t x -4) + (-4 x -9t) + (-4 x -4)

                     = -81t² - 36t + 36t + 16

                     = -81t² + 16

Answer:

- 81t² + 16

Step-by-step explanation:

Simply expand the equation by factoring

(9t-4)(-9t-4)    factor out negative sign

= -(9t - 4) (9t +4)

= -(9t + 4) (9t - 4)      recall a² - b² = (a+b) (a-b)

= - [ (9t)² - 4²]

= - ( 81t² - 16)

= - 81t² + 16

Answer:

None

Step-by-step explanation:

y<2x - 4

Substitute points to determine if they are a solution

(-1,1)

1<2(-1) - 4

1 < -2-4

1 < -6  False  not a solution

(1,-1)

-1<2(1) - 4

-1 < 2-4

-1 < -2  False  not a solution

(3,2)

2<2(3) - 4

2 < 6-4

2 < 2  False  not a solution

(2,3)

3<2(2) - 4

3 < 4-4

3 < 0  False  not a solution

Answer:2.5 cups of flour in each loaf of raisin bread

Step-by-step explanation:

The pretzel uses 2.5 cups of flour so the remaining flour is 10(12.5-2.5)

Since there are four loaves and 10 cups of flour left

Therefore one loaf has 10/4 or 2.5 cups of flour

Answer:

Four times the amount of flour for the raisin bread plus 2.5 cups equals 12.5 cups total. The equation is 4x + 2.5 = 12.5. First, I subtract 2.5 from both sides, and then I divide both sides by 4. Each loaf contains 2.5 cups of flour.

--

Brianna Edwards

e d g e n u i t y things

Thanks in advance

Remember Vote Brainliest

Answer:

2n

Step-by-step explanation:

2n = 2*n

36n = 2*3*2*3 n

They both have 2*n in common, so the greatest common factor is 2n

Answer:

I've done this question before and the answer is really weird. its 3/8

Answer:

See below

Step-by-step explanation:

I don't know if this helps you, but I wanted to get you an answer as quickly as I could in case you needed it really soon.  This is what a graph of this function would look like.  Choose the answer that looks like this one.

I really hope this helps!

The graph for the given function is plotted. The graph of a function is represented by y = f(x).

The given function is f(x) = x² + 4x - 1

Consider x values as {-5, -4, -3, -2, -1, 0, 1, 2}

Substituting these values in the function for finding y-values

When x = -5

y = f(-5) = (-5)² + 4(-5) -1 = 4

∴ (-5, 4)

When x = -4

y = f(-4) = (-4)² + 4(-4) -1 = -1

∴ (-4, -1)

When x = -3

y = f(-3) = (-3)² + 4(-3) -1 = -4

∴ (-3, -4)

When x = -2

y = f(-2) = (-2)² + 4(-2) -1 = -5

∴ (-2, -5)

When x = -1

y = f(-1) = (-1)² + 4(-1) -1 = -4

∴ (-1, -4)

When x = 0

y = f(0) = 0 + 4(0) -1 = -1

∴ (0, -1)

When x = 1

y = f(1) = 1² + 4(1) -1 = 4

∴ (1, 4)

When x = 2

y = f(2) = 2² +4(2) -1 = 11

∴ (2, 11)

Plotting these points in the graph and connecting them gives a curve (parabola).

Checking for the vertex:

f(x) = a(x - h)² + k

⇒ x² + 4x - 1

⇒ (x - (-2))² -5

So, the vertex is (h, k) = (-2, -5).

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Answer:

c=1`8h

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Using the section formula

x = [tex]\frac{5(-8)+8(7)}{5+8}[/tex] = [tex]\frac{-40+56}{13}[/tex] = [tex]\frac{16}{13}[/tex] ≈ 1.2

y = [tex]\frac{5(-9)+8(-2)}{5+8}[/tex] = [tex]\frac{-45-16}{13}[/tex] = [tex]\frac{-61}{13}[/tex] ≈ - 4.7

Coordinates are (1.2, - 4.7 ) → D

Answer:

60000/4 pr 15000

Step-by-step explanation:

Rate of change = change in population / change in time

80000 - 20000 = 60000

January to April is 4 months

so the rate of change will be 60000/4 or 15000

Answer: 279.4 centimeters hope this helped

Step-by-step explanation: 110 x 2.54 = 279.4

Answer:

NO SOLUTION

Step-by-step explanation:

Let's actually solve the system

x-4y=1

5x-20y=4

Let's eliminate y.  To do this, multiply the first equation by -5, obtaining

-5x + 20y = -5

Now add this result to the second equation:

-5x + 20y = -5

5x -  20y =  4

--------------------

           0   = -1

This result is never true.  Thus, this system of linear equations has NO SOLUTION.

The system of equations results in a false statement.

Let's solve the system of equation

x - 4y = 1 ......(1)

5x - 20y = 4 ........(2)

By using the elimination method

Eliminate y by multiplying (1) by -5

We have,

-5x + 20y = -5 ...........(3)

Adding (3) and (2), then we get

(x - 4y = 1) + (-5x + 20y = -5)

-5x + 20y = -5

5x - 20y = 4

---------------------

      0 = -1

Therefore, the correct answer is option (a). The system results in a false statement.

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Answer:

B,C,D,E

Step-by-step explanation:

The similarity statement that describe the relationship is similarities by (AAA)

Similar triangles have corresponding angles equal and proportional sides. Their shapes are identical, but sizes may differ.

For two triangles to be similar, the corresponding angles must be equal, and the ratio of the corresponding sides must be equal.

From the diagram, The similarity statement that describe the relationship is similarities by (AAA)

angle R =angle Z

angle S = angle X

angle P = angle Y.

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Answer:

195

Step-by-step explanation:

y varies directly with x means y=kx

k is a constant of proportionality (meaning no matter what the variable pair (x,y) is k will forever remain the same value)

we have while x=6, y=90

so plug in  90=k(6)

Solve for k: k=90/6=30/2=15

So no matter (x,y) you have the equation y=15x for this problem

Now what is y when x=13

plug in and find out

y=15(13)

y=   45+150= 195

Answer:

0.21

Step-by-step explanation:

If A and B are independent, then:

P(A and B) = P(A) × P(B)

Given P(A) = 0.3 and P(B) = 0.7:

P(A and B) = 0.3 × 0.7

P(A and B) = 0.21

Answer:

P(A and B) = 0.21

Step-by-step explanation:

Two events are said to be independent when the occurrence of event 1 does not affect the occurrence of event 2

Given two probabilities A and B whose probabilities are given as follows

P(A) = 0.3, P(B)  = 0.7

P(A and B) is calculated as follows;

P(A and B) is calculated by multiplying both probabilities together

P(A and B) = P(A) * P(B)

P(A and B) = 0.3 * 0.7

P(A and B) = 0.21

Hence, P(A and B) = 0.21

Step-by-step explanation:

6b < 42 or 4b + 12 > 8

6b < 42

= 6b/6 < 42/6

= b < 7

4b + 12 > 8

=4b - 12 + 12 < -12+8

= 4b > - 12 + 8

= 4b > -4

= 4b/4 = -4/4

b > -1

so

7 > b > -1

The solution of the compound inequality 6b < 42 or 4b + 12 > 8 is   -1 < b < 42.

The inequality represent the relationship between two expression, it can represent by  < is less than > is greater than.

The inequality is;

[tex]\rm 6b < 42\\\\\dfrac{6b}{6} < \dfrac{42}{6}\\\\b < 7[/tex]

The solution of the inequality  6b < 42 is b < 7.

The inequality is;

[tex]\rm 4b + 12 > 8\\\\4b+12-12 > 8-12\\\\4b > -4\\\\\dfrac{4b}{b} > \dfrac{-4}{4}\\\\b > -1[/tex]

The solution of the inequality  4b + 12 > 8  is b > -1.

So combining both conditions, the compound equality will be:

-1 < b < 42

It depicts b is greater than -1 and smaller than 42.

Hence, the solution of the compound inequality 6b < 42 or 4b + 12 > 8 is   -1 < b < 42.

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Answer:

option 4

Step-by-step explanation:

Given

[tex]\frac{3}{5}[/tex] × [tex]\frac{2}{3}[/tex]

Cancel the 3's on the numerator/denominator of the fractions, leaving

= [tex]\frac{1}{5}[/tex] × [tex]\frac{2}{1}[/tex] = [tex]\frac{2}{5}[/tex] ← in simplest form

The product of 3/5 x 2/3, in simplest form, is 2/5 after multiplication and reduction.

In order to answer your question about the product of 3/5 x 2/3, you need to multiply the two fractions. To do this, you multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. So, for this problem, you would multiply 3 by 2 to get 6, and 5 by 3 to get 15. Therefore, 3/5 x 2/3 = 6/15. However, to put it in simplest form, you should always reduce the fraction to its lowest terms by dividing both the numerator and denominator by their greatest common factor, which in this case is 3. Therefore, 6/15 reduces to 2/5.

Answer:

The translation is left 4 units

Step-by-step explanation:

we know that

[tex]y=2(x-15)^{2}+3[/tex]

Is a vertical parabola open upward with vertex at (15,3)

[tex]y=2(x-11)^{2}+3[/tex]

Is a vertical parabola open upward with vertex at (11,3)

so

The rule of the  translation of (15,3) ----> (11,3) is equal to

(x,y) ----> (x-4,y)

That means ----> The translation is left 4 units

Answer:

2.4

Step-by-step explanation:

for the edge question the answer is actually 0.5

Answer:

x = 10

Step-by-step explanation:

Make x the subject

2x - 8 = 12

2x = 12 + 8

2x = 20

x = 20/2

x = 10

!!

Answer:

7 pages

Step-by-step explanation:

this is because 2 times 3 equals 6 and plus one equals 7

Final answer:

Ashlee starts with 1 page of notes and will take 3 pages of notes for each hour of class she attends. After attending 2 hours of class, she will have a total of 7 pages of notes in her notebook.

Explanation:

The question involves solving a simple algebraic equation to find the total number of pages of notes Ashlee will have after attending 2 hours of class. Ashlee starts with 1 page of notes and takes 3 pages of notes for each hour of class. To find the total number of pages of notes, we can use the equation:

Total pages = Initial pages + (Pages per hour × Number of hours)

Substituting the given values into the equation:

Total pages = 1 + (3 × 2) = 1 + 6 = 7 pages

Therefore, Ashlee will have 7 pages of notes in her notebook after attending 2 hours of class.

The equation that will be used to find t is:

                [tex]3(2-t)+1.5t=5[/tex]

Total distance that is traveled by Amir is: 5 miles.

and the total time taken by him is: 2 hours.

On the first part of the hike, Amir averaged 3 miles per hour.

Let t denote the time he spent hiking during the second i.e. difficult part of the hike.

( Since, the total time was 2 hours)

Also, we know that:

[tex]Distance=Speed\times Time[/tex]

Hence, distance traveled in first part of hike is:

[tex]Distance=3\times (2-t)[/tex]

Since the total distance traveled by him is 5 miles.

It is given that his speed decreased to 1.5 miles per hour.

Now, we know that:

[tex]Time=\dfrac{Distance}{Speed}[/tex]

Hence, time spent by him in second part of hike is:

[tex]t=\dfrac{5-3(2-t)}{1.5}\\\\i.e.\\\\1.5t=5-3(2-t)\\\\i.e.\\\\3(2-t)+1.5t=5[/tex]

Answer:

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}5x+3y=13\\-5x-12y=23\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-9y=36\qquad\text{divide both sides by (-9)}\\.\qquad y=-4\\\\\text{put the value of y to the first equation:}\\\\5x+3(-4)=13\\5x-12=13\qquad\text{add 12 to both sides}\\5x=25\qquad\text{divide both sides by 5}\\x=5[/tex]