A woman can bicycle 78 miles in the same time as it takes her to walk 24 miles. She can ride 9 mph faster
than she can walk. How fast can she walk?
mph

Step-by-step explanation:

The exact solutions are: x = 11 + √72 and x = 11 - √72

The approximate solutions are: x = 19.49 and x = 2.51

[tex]\\ \sf\longmapsto (x-11)^2=72[/tex]

[tex]\\ \sf\longmapsto x-11=\sqrt{72}[/tex]

[tex]\\ \sf\longmapsto x-11=\pm 8.48[/tex]

[tex]\\ \sf\longmapsto x=11-8.48\:or\:11+8.48[/tex]

[tex]\\ \sf\longmapsto x\approx 2.52\:or\:19.48(Approximate)[/tex]

[tex]\\ \sf\longmapsto x=3\:or\:19(Exact)[/tex]

[tex]\\ \sf\longmapsto 2450=2\times 35\times 35\times 1^{10}[/tex]

#2

[tex]\\ \sf\longmapsto 35000=35\times 10(10)(10)\times 1^{10}[/tex]

#3

[tex]\\ \sf\longmapsto 4000400=2\times 2\times 1001\times 100\times 1^{10}[/tex]

#4

[tex]\\ \sf\longmapsto 10101010=1010101\times 10\times 1^{10}[/tex]

Step-by-step explanation:

The numbers are given in the form of N*10ⁿ, where N is a natural number

Answer:

50%

Step-by-step explanation:

because the whole circle is 100% and half of it is shaded

so.... 50%

Answer:

1

Step-by-step explanation:

Perpendicular lines always have the opposite slope (meaning that you have to switch the numerator and denominator) and sign when comparing to the given equation.

To start off, convert the equation to be formatted into y=. You do this by first subtracting the 3x from both sides of the equation so that it now reads 3y=-3x-273y=−3x−27 . Now, divide the whole equation by three in order to get rid of the value attached to the y. The equation should now read to be: y=-x-9y=−x−9 . Now, just switch the the slope into its opposite (which is the reciprocal) and switch the negative sign into a positive.

Answer:-2.4f + 0.4f -15-3Step-by-step explanation:

Answer:

-1.8f - 19

Step-by-step explanation:

Answer:

The answer is 12/7.

Step-by-step explanation:

To get the answer, simply subtract -1 to 5/7

[tex]\frac{5}{7} - (-1)\\[/tex]

Find the least common denominator.

[tex]\frac{5}{7} - (-1) = \frac{5}{7} - \frac{(-7)}{7}[/tex]

= 12/7

To check, add -1 to 12/7.

[tex]\frac{12}{7} + (-1)[/tex]

Find the least common denominator.

[tex]\frac{12}{7} + (-1) = \frac{12}{7} + \frac{(-7)}{7}[/tex]

= 5/7

Answer:

K=2

Step-by-step explanation:

Given y=(1/2)^x

y=2^-x

Hope this helps :)

Answer:both involving 6 and 7. (-6,-7) would be in quadrant 3 while point (-6,7) would be on top of it in quadrant 2.

Step-by-step explanation:

Answer:

8 pieces

Step-by-step explanation:

2/3 = 1/12c

cross-multiply to get:

3c = 24

c = 8

Answer:

3?

Step-by-step explanation:

is this a trick question..

24/8=3 cm

So a rat is 3 cm times as long as a mouse

Answer:

1:5

Step-by-step explanation:

put no. of triangles over no. circles because it asks triangles to circles

2/10

1/5........simplify

Answer:

Option B

Step-by-step explanation:

[tex]PV = nRT\\\rule{150}{0.5}\\\rightarrow \frac{PV = nRT}{nR}\\\\\rightarrow \boxed{\frac{PV}{nR} = T}[/tex]

Hope this helps.

The equation for T will be;

⇒ T = PV/nR

Where, P, V, and T represent pressure, volume, and temperature, n represents the number of moles of gas, and R is a constant for the ideal gas.

Option B is true.

What is Linear equation?

When in an equation the highest power of variable is one then its called Linear equation.

Given that;

The equation for the ideal gas law is,

PV = nRT

Where, P, V, and T represent pressure, volume, and temperature,

n represents the number of moles of gas, and R is a constant for the ideal gas.

Now,

Solve the equation for T as;

PV = nRT

Divide both side by 'nR' we fet;

PV/nR = nRT/nR

PV/nR = T

T = PV/nR

Thus, The equation for T will be;

⇒ T = PV/nR

Learn more about the linear equation visit:

https://brainly.com/question/85774

#SPJ5

Answer:

42/8= 5 2/8

explanation:

8*5=40  42-40=2

therefore  

42/8= 5 2/8

Answer:

[tex]5 \frac{2}{8} [/tex]

Step-by-step explanation:

Basically, mix number is formed by 3 parts,

They are,

* A whole number

* A numerator

* A denominator

Now lets write this number as a mix number,

First simply divide 42 by 8

[tex] \frac{42}{8} = 5[/tex]

[tex]remainder = 2[/tex]

Now you can write the remainder as a fraction,

[tex] \frac{2}{8} [/tex]

And now you can write the mix number like this,

[tex]5 \frac{2}{8} [/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

81/10 or 10

Step-by-step explanation:

81:18 - 8 = 81/10 simplified

sorry if am wrong i tried :L

Answer:

9,687,600

Step-by-step explanation:

27P5

= 27!/(27-5)!

= 27!/22!

= 27*26*25*24*23

= 9,687,600

9514 1404 393

Answer:

Step-by-step explanation:

It looks like your interactive graphing tool needs you to plot some points on each of the lines. For these lines, it is convenient to use the x- and y-intercepts. Each intercept can be found by dividing the constant by the coefficient of the variable.

-7x -2y = 14

The x-intercept is 14/-7 = -2. Plot (-2, 0) on the x-axis.

The y-intercept is 14/-2 = -7. Plot (0, -7) on the y-axis.

6x +6y = 18

The x-intercept is 18/6 = 3. Plot (3, 0) on the x-axis.

The y-intercept is 18/6 = 3. Plot (0, 3) on the y-axis.

__

The point of intersection of the two lines is the solution: (x, y) = (-4, 7).

Answer:

1) GCF is 1 in this case

2) GCF is 36

3) GCF is 3

4) GCF is 2

Step-by-step explanation:

Well GCF is greatest common factor, with that it Has to be the greatest and a common factor between 2 numbers. You can always list them out for example GCF of 3 and 12

THe factors of 3 are

1-3

The factors of 12 are

1-2-3-4-6-12

The greatest common one is 3.

Answer:

GCF = 1

GCF = 36

GCF = 3

GCF = 2

Step-by-step explanation:

45 & 16

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 1.

36 & 36

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor is 36.

45 & 6

The factors of 6 are: 1, 2, 3, 6

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 3.

30 & 16

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 2.

Can I have brainliest?

[tex] \: \: \: \: [/tex]

[tex] lim_{n→ \infty }( \frac{xe ^{x} }{x + ex} ) [/tex]

[tex] \frac{x {e}^{x} }{x + ex} [/tex]

[tex] = \frac{ {e}^{x} }{1 + e} [/tex]

[tex] \: \: \: [/tex]

Changes made to your input should not affect the solution:

Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". 1 more similar replacement(s).

x3+x2-8x-12 is not a perfect cube

Factoring: x3+x2-8x-12

Thoughtfully split the expression at hand into groups, each group having two terms :

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)Group 2: (2x+3) • (-4)

Answer:

-14k+17

Step-by-step explanation:

Answer: y = (1/2)x + 3

Step-by-step explanation:

The equation in slope-intercept form  y = (1/2)x+3

To determine how to write an equation from two points, we must determine the value of the slope and the yy-intercept. First, we will calculate the slope. This will be the value of mm in the slope-intercept form equation:

y=mx+b

Let’s answer the question, “What is the slope-intercept form of a line going through the points (1,5)(1,5) and (-4,7)(−4,7)?”

Remember, to calculate the slope we use the equation:

y2-y1/x2-x1

Therefore, the slope of the line is

-2/5

​

We can substitute

-2/5 for m.

To learn more about equation in slope-intercept refer to:

https://brainly.com/question/1884491

false for 4.

ture for the 1st one

brianliest me

Answer:

1 True. 2. True

Answer:

-3 < x < 2

Step-by-step explanation:

-8 < 3x + 1 < 7

-8 < 3x + 1   ....... eqn 1

3x + 1 < 7  ...........eqn 2

-8 < 3x + 1

-8 - 1 < 3x

-9 < 3x

-9/3 < x

-3 < x

3x + 1 < 7  ...........eqn 2

3x < 7 - 1

3x < 6

x < 6/3

x < 2

= -3 < x < 2