Lydia ran 10 miles in 120 minutes. How many minutes did she run per mile?

Answer:

A,

x = 81

Step-by-step explanation:

3500=700 \times 2 ^ { 8x }

\frac{3500}{700}=2^{8x}

5=2^{8x}

2^{8x}=5

\log(2^{8x})=\log(5)

8x\log(2)=\log(5)

8x=\frac{\log(5)}{\log(2)}

8x=\log_{2}\left(5\right)

x=\frac{\log_{2}\left(5\right)}{8}

[tex]\text{The \textbf{value} of x is\ } \dfrac{\log(5)}{8\og(2)} \ \text{and} \dfrac{\ln(5)}{8\ln(2)} \text{\ for the \textbf{equation},}\ 3500=700\times 2^{8x}.[/tex]

So, option c) and d) are correct.

Logs with base a, they are called Common Logs and Logs with base e are called Natural Logs.

[tex]\text {Thus,x=\dfrac{\log(5)}{8\log(2)} and}[/tex]

Given equation:

[tex]3500=700\times 2^{8x}\\[/tex]

In order to solve it for x first take logarithm both sides of the equation as follows:

We can take log natural as well as common log

1. taking common log:

[tex]log(3500)=log(700\times 2^{8x})\\log(3500)=log(700)+log( 2^{8x})\\log(3500)-log(700)=8x\ log( 2)\\\\log\dfrac{3500}{700}=8x\ log( 2)\\\\log5=8x\ log2[/tex]

Evaluating x as follows:

[tex]x=\dfrac{\log(5)}{8\log(2)}[/tex]

2. Similarly on taking natural log:

[tex]x=\dfrac{\ln(5)}{8\ln(2)}[/tex]

[tex]\text{Thus, the \textbf{value} of x is\ } \dfrac{\log(5)}{8\og(2)} \ \text{and} \dfrac{\ln(5)}{8\ln(2)}[/tex][tex]\text {Thus,x=\dfrac{\log(5)}{8\log(2)} and}[/tex]

So, option c) and d) are correct.

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Answer:

the awnser is 3 because 3 * 11 = 33 then 121 divided by 33 = 3

Step-by-step explanation:

I did it my best knowledge

1.6x+5+1.6x= 3.2+5= 3.2/5=(0.64)<<<Answer

Answer:

lol no thanks for the points

Step-by-step explanation:

dwadawdwadawdssadws

Answer:

3 + x

the difference of x and 8

Step-by-step explanation:

u need a number, a varible(letter), and a [+, -, /, x(*)]

Answer:

the lcm of 4 and 8 is 8 and the lcm of 9 and 3 is 9

Step-by-step explanation:

hope this helpes you out

Answer:

Tuna and Small

Step-by-step explanation:

$3.95 + $1.29 = $5.24 - $11 = $5.76

Louis would have $0.76 after he bought everything

Hope this helps please give brainliest!!

2x=4

it is the expression here.

he could eat 250 hotdogs in an hour

50÷12=4.166

4.166×60=250

Answer 250

Answer:

-2

Step-by-step explanation:

-10 + 3 = -7

Answer:

The Answer Is C

Answer:

218.75

Step-by-step explanation:

218.75

140/x=64/100

Answer: 218.75

Explanation:

64/100*x is equal to 64x/100 = 140

14000 divided by 64

x = 218.75

Answer:

c i believe:)

Step-by-step explanation:

hope this helps:) brainliest please!

Answer:

1,679,616

Step-by-step explanation:

(6^2)^4

36^4

1,679,616

Answer:

I think its uh

Step-by-step explanation:

the first= it is. f= 3x+3/x^2

the second= it is. f= x-3/x^2

sorry if this is wrong btw, i tried my best U-U

Answer:

they're not inverses.

Step-by-step explanation:

the inverse of f(x)= 3/x +3 would be f(x) 3 / x-3

for the second equation the inverse of that one would be h(x) = -3/ x-1

i hope this helps.

Answer:

Children ticket cost $30 and adult ticket costs $40.

Step-by-step explanation:

Given that:

x = price of a child ticket

y = price of an adult ticket

According to given statement;

3x+2y=170     Eqn 1

4x+6y=360    Eqn 2

Multiplying Eqn 1 by 3

3(3x+2y=170)

9x+6y=510      Eqn 3

Subtracting Eqn 2 from Eqn 3

(9x+6y)-(4x+6y)=510-360

9x+6y-4x-6y=150

5x=150

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{150}{5}\\x=30[/tex]

Putting x=30 in Eqn 1

3(30)+2y=170

90+2y=170

2y = 170-90

2y = 80

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{80}{2}\\y=40[/tex]

Hence,

Children ticket cost $30 and adult ticket costs $40.

Answer:

[tex]v=46\\[/tex]

Step-by-step explanation:

Simply:

[tex]-v=-46[/tex]

Answer:

5.4

Step-by-step explanation:

Calculate value of x using similarity ratio

7.2/x = 4/3 cross multiply expressions

21.6 = 4x divide both sides by 4

5.4 = x

Answer:

5.4

Step-by-step explanation:

Answer:

657m²

Step-by-step explanation:

use the provided formular and substitute the values

Answer:

split the shape in 2

14 x 11 = 154

20 - 11 = 9

9 x 9 = 81

then add 154 + 81 which is 235

so area is 235 according to me..

Answer:

$4.20 / gallon of gas (divide 16.80 by four gallons)

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

9 , 10

Step-by-step explanation:

n ≥ 9.

Here the value of n will be 9 and more than 9

Answer:

Step-by-step explanation:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

Answer:

8/4 or 2

Step-by-step explanation:

2 solutions

The equation 2x - 4 = 4 - 2x has a single solution, x = 2.

The equation 2x - 4 = 4 - 2x can be simplified and analyzed to determine the number of solutions.

First, let's simplify the equation by combining like terms:

4x - 4 = 4

Next, we can add 4 to both sides of the equation to isolate the variable:

4x - 4 + 4 = 4 + 4

This simplifies to:

4x = 8

Now, we divide both sides of the equation by 4 to solve for x:

(4x) / 4 = 8 / 4

This yields:

x = 2

Therefore, the equation 2x - 4 = 4 - 2x has a single solution, x = 2.

This means that when we substitute x = 2 into the original equation, both sides will be equal. Thus, the equation has a unique solution, indicating that the two sides of the equation represent the same line or point of intersection.

In summary, the equation has one solution, which is x = 2.

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Answer:

[tex]Q=(9,11)[/tex]

Step-by-step explanation:

Solving (4a)

[tex]P (x_1,y_1) = (1,1)[/tex]

[tex]M (x,y) = (5,6)[/tex]

Required

Determine [tex]Q(x_2,y_2)[/tex]

To do this, we make use of the mid-point formula:

[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Substitute values for x, y, x1 and y1

[tex](5,6) = (\frac{1+x_2}{2},\frac{1+y_2}{2})[/tex]

Multiply through by 2

[tex]2 * (5,6) = (\frac{1+x_2}{2},\frac{1+y_2}{2}) * 2[/tex]

[tex](10,12) = (1+x_2,1+y_2)[/tex]

By comparison:

[tex]10 = 1 + x_2[/tex]

[tex]x_2 = 10 - 1[/tex]

[tex]x_2 = 9[/tex]

[tex]12 = 1 + y_2[/tex]

[tex]y_2 = 12 - 1[/tex]

[tex]y_2 = 11[/tex]

Hence, the coordinates of Q is (9,11)

Answer:

I think A, B, E, F I’m not sure

Step-by-step explanation:

Answer:

A B E F

Step-by-step explanation: