Johnny's home is m miles from school. Johnny runs to school at a speed of 8 mph and then walks home from school at half that speed. how much time does it take Johnny to walk home than to school?

Answer:

See below:

Step-by-step explanation:

So we know that an apple and 3 bannans are dollar 2.50

We also know that 2 apples and 5 bannanas are dollar 4.50.

Therefore, if we subtract 2 apples and 5 bannanas from 1 apple and 3 bannanas we will get a price.

Therefore, 1 apple and 2 bannanas are 2 dollars. (4.50 - 2.50 = 2)

Now, we can multiply by 3 to get it for 3 apples and 6 bannanas.

3*1 + 3*2 = 2*3

3a + 6b = 6 dollars.

The cost of 3 apples and 6 bananas is $7 and this can be determined by forming the linear equation in two variables.

Given :

Let the cost of one apple be 'x' and the cost of one banana be 'y'. Then the cost of an apple and 3 bananas is given by the equation:

x + 3y = 2.5 --- (1)

The cost of 2 apples and 5 bananas is given by the equation:

2x + 5y = 4.5  ---- (2)

Now, solve the equation (1) for 'x'.

x = 2.5 - 3y  --- (3)

Now, put the value of 'x' in equation (2).

2(2.5 - 3y) + 3y = 4.5

5 - 6y + 3y = 4.5

0.5 = 3y

[tex]y = \dfrac{1}{6}[/tex]

Now, put the value of 'y' in the equation (3).

[tex]\rm x = 2.5-3\times \dfrac{1}{6}[/tex]

x = 2

Now, the cost of 3 apples and 6 bananas will be:

[tex]3 \times 2 + 6 \times \dfrac{1}{6} = 7[/tex]

So, the cost of 3 apples and 6 bananas is $7.

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Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

90 boxes = 100%

72 boxes = ?

=> (72 * 100)/ 90 = 80%

Answer:

In point form, the answer is (1, -7) and in equation form, x = 1, y = -7.

Step-by-step explanation:

I hope this helps!

Answer:

3.816 m/s

Step-by-step explanation:

Answer:

3.816 m/s

Step-by-step explanation:

In pic

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

p - 5q = 4qr where

q = 4 and r = -1 by applying these value

p - 5(4) = 4(4)(-1)

p - 20 = -16

p = -16 + 20

p = 4

Step-by-step explanation:

"You're always right" means that you're a right angle (90°) and [tex]\sin{90°} = 1.[/tex]

Answer of the riddle is 1.

A right angle is an angle that is exactly equal to 90 degrees (or π/2) in measure.

The exact value of sine 90 degree.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

According to the given question

We have a riddle " You're always right, what is your sine?".

So, you're always right means you are always at 90 degrees.

What is your sine means, what is sin 90 degrees.

And we know that

[tex]sin90=1[/tex]  

Hence, the answer of the riddle is 1.

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Answer:

[tex]a) \ sin(x - \frac{\pi }{2})[/tex]

Step-by-step explanation:

You can does a horizontal shift to the [tex]sin[/tex] function.

Beside we know that when [tex]sin(0) = -1[/tex] then the only option that produce the desire result is the [tex]a[/tex] option because

Answer:

about 46

Step-by-step explanation

Answer:

y = x - 5

Step-by-step explanation:

Given the point, (10, 5), and the slope, m = 1:

Substitute these values into the slope-intercept form to solve for the y-intercept, b:

y = mx + b

5 = 1(10) + b

5 = 10 + b

Subtract 10 from both sides to isolate b:

5 - 10 = 10 - 10 + b

-5 = b

The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).  

Therefore, given the slope, m = 1, and the y-intercept, b = -5:

The equation of the line in slope-intercept form is:  y = x - 5.

Answer:

3/6, 2/3, 6/8

Answer:

Step-by-step explanation:

for the first one you count how are in the row and how many are shaded for the first one is 3/6

Answer:

Transitive

Step-by-step explanation:

Answer:

x=-11

y=-1

Step-by-step explanation:

x=4y-7

2x+9y=-31

2(4y-7)+9y=-31

8y-14+9y=-31

17=-31+14

17y=-17

y=-1

x=4(-1)-7

x=-11

Answer:

x = -11, y = -1

Step-by-step explanation:

solving simultaneously,

2(4y-7) + 9y = -31

17y = 14 - 31

17y = -17

y = -1

back sub, we get:

x = 4(-1)-7

x = -11

so x = -11, y = -1

Answer:

4s + 11t = 75

Step-by-step explanation:

Assuming you are asking for an equation to find how many socks and ties Cheryl could get with $75, then the equation 4s + 11t = 75 would represent that.

s is the number of socks that are bought (assuming s = 1 means that 1 pair of socks is bought).

t is the number of ties that are bought.

4s represents the total cost of the socks that are bought (if you plug in 4 for s, then the total cost of the socks is 4(4) = 16+

11t represents the total cost of the ties that are bought

By definition of the derivative,

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{(s + h)^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{s^3+3s^2h+3sh^2+h^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\frac{3s^2h+3sh^2+h^3}2}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 \frac{3s^2h+3sh^2+h^3}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 (3s^2+3sh+h^2)[/tex]

[tex]\displaystyle\frac{dr}{ds} = \frac{3s^2}2[/tex]

Since in the two triangles,

2 angles and the side between them is given and equal, the triangles are congruent using the Criteria ASA.

Option A is the correct answer.

Answer:

$657.09

Step-by-step explanation:

The area of the carpet is:

21 × 9 = 189 Square foot

189 foot² = 21 yard²

We know 1 yard² = $31.29

So 21 yard² = 21 × $31.29 = $657.09

Answer:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Answer:

480 * 0.04 = 19.2

$19.20

Answer:

1 hour 45 mins

Step-by-step explanation:

56÷8=7

7x15=105mins

105mins=1hr 45mins

Answer:

10^6.

Step-by-step explanation:

There are 6 digits after the 1 so it's 1 * 10^6 or just 10^6.

Answer:

x > -11/10

Step-by-step explanation:

-2/6(4-x) < 4(x+1/2)

-1/3(4-x) < 4x + 2

-4/3 + 1/3x < 4x + 2

-4 +x < 12x + 6

x - 12 x < 6 + 4

-11x < 10

x > -11/10

The coordinates and quadrant of Point Z is (9, 10) Quadrant I.

The X and Y axes divide the graph plane into four quadrants:

Given:

Coordinates:

C( -4, 5), D(-9, 9), E(5, 0), I(0, 9), J(-9, 0), L(9, -9), P(0, -9), X(0, 5) and

Z(9, 10).

As, we know The upper right corner of the plane is where the first quarter is located. The x and y coordinates in this quadrant are both positive.

Hence, Z lies in Quadrant !.

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[tex]\sqrt{\dfrac{8x^5 y^2}{z^3}}\\\\\\=\dfrac{\sqrt{8x^5 y^2}}{\sqrt{z^3}}\\\\\\=\dfrac{\left( y\sqrt{8}\right) \sqrt{x^5}}{\sqrt{z^2 \cdot z}}\\\\\\=\dfrac{\left(y\sqrt{4\cdot 2} \right) \sqrt{x^2 \cdot x^2 \cdot x}}{z\sqrt z}\\\\\\=\dfrac{\left(2\sqrt 2 \right) y x^2\sqrt{x}}{z\sqrt z}\\[/tex]

Answer:

                                                                  1.

The farmer needs to spread hay under all the squash plants. Write an expression, using x, that represents the amount of the area of the field just for the squash.

                                     solution

area of rectangle is L x W,

let L =4x and and W = x

therefore Area (A) = 4x(x)  = 4x2

                                                               2

The farmer needs a small fence for just around the potato patch. Write an expression, using x, that represents the perimeter of the part of the field just for potatoes. (simplify)

                                     solution

parameter(P) = 2( L + W )

let L=x2 - 7x +12 and W = x +6

therefore  

P = 2(x2 -7x +12 + x + 6)

 = 2( x2 -6x + 18)

P  = 2x2 -12x +36

                                                       3.

Challenge question! Write an expression, using x, that represents the perimeter of the entire garden, should the farmer want a bigger fence. (simplify)

                                                          solution

P= L1+L2+W1+W2

when

L1 = x + 6x +xy -1 = 7x +xy -1

L = 5x + 2 + x2 - 9 +x2 -7x + 12 = 2x2 5x + 2

w1 4x + 5x -2

w2 = xy + x 7

p = 7x +xy -1 + 2x2 5x + 2 + 4x + 5x -2 + xy + x 7

p = 2xy + 2x2  +16x +9

Step-by-step explanation:

Answer:

24 meters

Step-by-step explanation:

a radius is half the diameter of the circle. hence, the diameter is 24 meters.

Answer:

f(3) = 1/(3)^2-3

Step-by-step explanation:

To solve for when x=3, we simple replace x with 3

f(3) = 1/(3)^2-3

Answer:

Step-by-step explanation:

Hope it helps,view the image:

Uisng technology, such as a linear regression calculator or excel , the linear equation in slope - intercept format which models the data is 171.47x - 125.83

The relationship between advertising cost and e-commerce sales is positive which can be inferred from the positive value of the slope which models the data. Also, since, the correlation Coefficient is high, we can expect to have a high e-commerce sales whenever, the advertising cost is high.

Therefore, the linear regression equation is 171.47x - 125.83

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