I can travel 612 miles in 1 hour in my super speedy plane. Assume that there are 5,280 ft per mile. How many feet would I travel in 1 minute?

Answer:

[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

the answer is the same

The value of x is (2w - t)/5.

The value of w is (5x + t)/2.

The value of t is  2w - 5x.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5x - 2w + t = 0

Solve for x.

5x - 2w + t = 0

5x = 2w - t

x = (2w - t)/5

Solve for w.

5x - 2w + t = 0

5x + t = 2w

w = (5x + t)/2

Solve for t.

5x - 2w + t = 0

t = 2w - 5x

Thus,

The value of x, w, and t is given above.

Learn more about expressions here:

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Answer:

$2.80

Step-by-step explanation:

14.00 for 5 mangos and 8 oranges

14/5=2.8 for each mango

2.8+1.50=4.30

Answer:

Then he has 15 months?

Step-by-step explanation:

you might need to explain your question

(i) The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].

(ii) The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].

(iii) The rate of increase of the y-coordinate is 1.2 units per second.

(i) By analytical geometry, we know that the slope of a line normal of a curve ([tex]m_{\perp}[/tex]) by the following expression:

[tex]m_{\perp} = - \frac{1}{\frac{dy}{dx} }[/tex] (1)

Where [tex]\frac{dy}{dx}[/tex] is the slope of the line tangent to the curve.

If we know that [tex]x = 1[/tex], then the slope of the normal to the curve is:

[tex]\frac{dy}{dx} = \frac{12}{2\cdot (1)+1}[/tex]

[tex]\frac{dy}{dx} = 4[/tex]

And the slope of a line normal of a curve is:

[tex]m_{\perp} = -\frac{1}{4}[/tex]

By definition of secant curve we calculate the remaining coordinate of the point Q:

[tex]m_{\perp} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (2)

Where:

If we know that [tex](x_{P}, y_{P}) = (1, 5)[/tex], [tex](x_{Q}, y_{Q}) = (x, 0)[/tex] and [tex]m_{\perp} = -\frac{1}{4}[/tex], then the remaining coordinate of point Q is:

[tex]-\frac{1}{4} = \frac{0-5}{x-1}[/tex]

[tex]-\frac{1}{4}\cdot (x-1) = -5[/tex]

[tex]-\frac{1}{4}\cdot x +\frac{1}{4} = -5[/tex]

[tex]\frac{1}{4}\cdot x = \frac{21}{4}[/tex]

[tex]x = 21[/tex]

The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].

(ii) The equation of the curve is derived by separating the variables and integrating the resulting expression:

[tex]dy = \frac{12}{2\cdot x + 1}\,dx[/tex]

[tex]\int\, dy = 6\int {\frac{2\,dx}{2\cdot x + 1} }[/tex]

[tex]\int \, dy = 6\int {\frac{du}{u} }[/tex]

[tex]y = 6\cdot \ln u[/tex]

[tex]y = 6\cdot \ln (2\cdot x + 1)+C[/tex]

And the integration constant is found for [tex](x,y) = (1, 5)[/tex]:

[tex]5 = 6\cdot \ln(2\cdot 1 + 1) + C[/tex]

[tex]C = -1.592[/tex]

The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].

(iii) The rate of increase of the y-coordinate by using the differential equation presented in statement and the definition of rate of change:

[tex]\frac{dy}{dt} = \left(\frac{12}{2\cdot x +1}\right)\cdot \frac{dx}{dt}[/tex] (3)

If we know that [tex]\frac{dx}{dt} = 0.3[/tex] and [tex]x = 1[/tex], then the rate of increase of the y-coordinate is:

[tex]\frac{dy}{dt} = \left[\frac{12}{2\cdot (1)+1} \right]\cdot (0.3)[/tex]

[tex]\frac{dy}{dt} = 1.2[/tex]

The rate of increase of the y-coordinate is 1.2 units per second.

To learn more on differential equations, we kindly invite to check this verified question: https://brainly.com/question/25731911

i). The coordinates of Q is equal to:

[tex](x,y) = (21, 0)[/tex]

ii). The equation of the curve is:

[tex]y = 6. In(2.x + 1) - 1.592[/tex]

iii). The rate of increase for y-coordinate when x = 1:

[tex]1.2 units[/tex] per second

i). Using analytical geometry,

[tex]xp[/tex] and [tex]xq[/tex] are the P and Q's x-coordinates.

[tex]yp[/tex] and [tex]yq[/tex] are the P and Q's y-coordinates.

Since ([tex]xp[/tex], [tex]yp[/tex]) = (1,5) and ( [tex]xq[/tex], [tex]yq[/tex]) = [tex](x, 0)[/tex] and m⊥ = - 1/4, the left coordinate of Q's point:-

-1/4 = (0-5)/(x - 1)

∵[tex]x = 21[/tex]

Thus, the coordinates of y = (21, 0)

ii). Through isolating the variables and employing integration:-

[tex]dy = \frac{12}{(2.x + 1)} dx[/tex]

by integration and integration constant (1,5), the equation is:

[tex]y = 6. In(2.x + 1) - 1.592[/tex]

iii). The rate of increase for y-coordinate:

[tex]dy/dt[/tex] = [tex]\frac{(12)}{(2.1 + 1)} .0.3[/tex]

∵ [tex]dy/dt[/tex] [tex]= 1.2[/tex]

Thus, the rate of increase for y-coordinate when x = 1 is 1.2 units per second.

Learn more about "Co-ordinates" here:

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Answer:

because AC and BD bis => AX = XC; BX = XD

ΔAXD ≅ ΔCXB (SAS) because: AX = CX

                                                    DX = BX

                                                    m∠AXD = m∠BXC ( 2 opposing angles)

because ΔAXD ≅ ΔCXB (SAS)

=> AD = BC and m∠DAX = m∠BCX

because m∠DAX = m∠BCX => AD//BC

ABCD has AD = BC and AD//BC => ABCD is a parallelogram

Step-by-step explanation:

Answer:

are you missing a option because for me one option that has the same exact numbers that you mentioned is the cost of 8 hats is 60

Step-by-step explanation:

Answer: the answers are the second one and the last one

Step-by-step explanation:

Answer:

A defensive way is use all your might to jump when the ball is coming at you, because as you might know is it takes a lot of effert to jump in a pool, the gravity is very strong in the pool! Or if you get the ball you can throw and swing your arm as strong as you can a HIT that ball! You wanna hit it hard so the players on the other side of the pool don’t get the ball,instead it will go over them and you WIN!

Step-by-step explanation:

Hope this helped :)✨

Answer:

$568.16

Step-by-step explanation:

Answer: The answer to your problem is $568.16

Answer:

B answer is correct hiiii

Answer: 50

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x + 6x + y = 180

6x + y = x + 5y

10x + y = 180 ........... (1)

5x - 4y = 0 .............. (2)

(1) - 2 × (2)

y + 8y = 180 ⇒ y = 20

6x + 20 = x + 100 ⇔ 5x = 80 ⇒ x = 16

64° , 116°

Answer: 0.2224

Step-by-step explanation:

Given: The proportion of adults need eye correction: p= 78%=0.78

Let X  be a binomial variable that represents the number of adults who need eye correction.

Sample size of adults: n= 12

Binomial ditsribution formula:

[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]

Now, the probability that at least 11 of them need correction for their eyesight will be

[tex]P(X\geq11)=P(X=11)+P(X=12)\\\\=^{12}C_{11}(0.78)^{11}(1-0.78)^{1}+^{12}C_{12}(0.78)^{12}(1-0.78)^{0}\\\\=(12)(0.78)^{11}(0.22)+(1)(0.78)^{12}(1)\\\\\approx0.1716503+0.05071486=0.22236516\approx0.2224[/tex]

Hence, the required probability = 0.2224

Answer:

its c i took the test trust me

Step-by-step explanation:

Answer: 81x + 31y

Step-by-step explanation:

Answer:

Just use a calcultor...

Step-by-step explanation:

Answer:

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because.

STep-by-step                                            Ihave a felling its b

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[tex] {x}^{2} - 5x = 0[/tex]

Factorise x

[tex]x(x - 5) = 0[/tex]

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Hint :

[tex]a \times b = 0[/tex]

[tex]a = 0 \: \: \: \: or \: \: \: \: b = 0[/tex]

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Thus ;

[tex]x = 0 \: \: \: \: or \: \: \: \: x - 5 = 0[/tex]

So :

[tex] x = 0 \: \: \: \: or \: \: \: \: x = 5[/tex]

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CHECK :

[tex]x = 0[/tex]

[tex] {0}^{2} - 5(0) = 0[/tex]

[tex]0 - 0 = 0[/tex]

[tex]0 = 0[/tex]

The solution is correct.

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[tex]x = 5[/tex]

[tex] {5}^{2} - 5(5) = 0[/tex]

[tex]25 - 25 = 0[/tex]

[tex]0 = 0[/tex]

The solution is correct.

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A fraction is really just another way to write a division problem without dividing. So all you have to do is divide, then round to whichever decimal place your teacher wants.

Answer: the variable is p=6 .

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

p = 6

Step-by-step explanation:

Step 1: Simplify both sides.

3 + 2p − 4 = 11

3 + 2p + −4 = 11

(2p) + (3+−4) = 11 (Combine Like Terms)

2p + −1 = 11

2p − 1 = 11

Step 2: Add 1 to both sides.

2p − 1 + 1 = 11 + 1

2p = 12

Step 3: Divide both sides by 2.

2p/2 = 12/2

p=6

Answer:

m= e= mc square

Step-by-step explanation:

Answer:

The equation of Nolan's line is [tex]y=2x+3[/tex]

Step-by-step explanation:

The slope-intercept form of a line is given by:

[tex]y=mx+b[/tex]

Here

m is the slope of the line

and b is the y-intercept.

Given

y-intercept = b = 3

slope = m = 2

The values of m and b can be put into the equation to find the line's equation

So,

Putting the value

[tex]y = 2x+3[/tex]

Hence,

The equation of Nolan's line is [tex]y=2x+3[/tex]

Answer:

The answer is y 2x + 3.

Step by step:

Because i know

Answer:

C- -24x - 2.75

Step-by-step explanation:

Answer:

The answer to your question is 24cm.

Step-by-step explanation:

6 multiplyed by 8 equals 48, and 48 divided by 2 equals 24.

Hope I helped. Have a spectacular day! ;)

Answer:

PQ=30

Step-by-step explanation:

Knowing that the segment has 3 parts that are 3:1:1 and sum up to 50, you could find how much 1 would equal by finding the total in relation to the ratio (doing 3+1+1) which gets you 5 parts. Then you can divide the total (50) by 5 to figure out how much one part would equal (10). Now, since you know that 1 part is equal to 10 and that PQ is 3 parts, you can find that PQ is equal to 3x10, or 30.

Answer:

C. There is one solution, because the coefficients of the variables on both sides of the equation are different.

Step-by-step explanation:

The solution is m = 1

~theLocoCoco

Answer:

2.23

.90

.28

Step-by-step explanation:

Answer: your answer are 2.23, .90, .28

Step-by-step explanation:

your answer are 2.23, .90, .28