An elite runner's stride rate is currently 168 strides per minute (the number of steps she takes
per minute). She wants to improve her stride rate to 180, and believes that through training, she
can increase her stride rate by 2 strides per minute each day, d. Which equation best models the
situation?

Answer:

this can be simplified

12v + 10v + 14 = 80

22v + 14 = 80

22v = 66

v = 3

Answer:

v = 3

Step-by-step explanation:

12v + 10v = 22v

22v + 14 = 80

Subtract 14 from both sides.

80 - 14 = 66

22v = 66

now divide both sides by 22

66/22 = 3

v = 3

Answer:

x = 25/4

Step-by-step explanation:

1/6x-1/8=11/12

The least common multiple for 6, 8, and 12 is 24

Multiply both sides by 24 to clear the fraction

24 (1/6x-1/8=11/12)

4x -3 = 22

Add 3 to each side

4x-3+3 = 22+3

4x= 25

Divide each side by 4

4x/4 = 25/4

x = 25/4

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

i cant really see that bruv

Step-by-step explanation:

goodluck tho <3

Answer:

cant see it either but good luck, i tried to read it

Step-by-step explanation:

9514 1404 393

Answer:

  49

Step-by-step explanation:

The sum of 5 numbers that have an average of 30 is ...

  sum = 5×30 = 150

The numbers below the median need to be as small as possible, so that the remaining numbers can be as large as possible. If the two numbers below the median are both 1, then the sum of the remaining 3 must be ...

  150 -1 -1 = 148

The median will be as large as possible when the least of the remaining three numbers is as large as possible. That will be the case when those three numbers are all the same.

  148/3 = 49.333...

Since the numbers must be integers, the possible values for the high three numbers are 49, 49, 50.

In the set {1, 1, 49, 49, 50}, the mean is 30 and the median is 49. This value is the largest possible median for this set.

Answer:

[tex]-13\frac{5}{7} x[/tex] or [tex]-\frac{96x}{7}[/tex]

Step-by-step explanation:

First, let's write down what we know.

AB = 3x

AC = 5x+21

Since B is the midpoint, AB is half the length of AC. The sum of AB + AB is equal to the length of AC.

AB + AB = AC

Let's plug in our values.

3x + 3x = 5x + 21

Simplify the left side.

6x = 5x + 21

Subtract 5x from both sides.

x = 21

Now, let's plug in 21 for x in AB

AB = 3x = 3(21) = 63

Solution :

[tex] \boxed{ \boxed{1 > k \geqslant - 23}}[/tex]

Answer:

a taco is 1.25 and a drink is 0.95

Step-by-step explanation:

tacos = t

drinks = d

5t + 3d = 9.10

3t + d = 4.70

this is a simultaneous equation so times the first one by one and the second by 3 and then take them away from each other and solving to get

t = 1.25 and d=0.95

one drink is $0.95

one taco is $1.25

Hope this helps!!

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a substance is transported across a cell membrane from an area of low concentration to an area of high concentration, you know that

it is a type of active transport.

What do pinocytosis and phagocytosis have in common?

They are both forms of endocytosis.

Answer:

The balance would be $160 from whatever it was before the 4 months.

Step-by-step explanation:

Since the bank balance is being added by 40 for each month for 4 months, 4 * 40 is just 4*4 with an extra zero on the end. so that would be $160.

So if the balance before was $40, then the new balance after 4 months would be $200.

If there's no money previously, then there is now $160 after 4 months.

If there's a value before the $40 for 4 months, let me know and I will explain and tell you what it is.

Answer:

Multiply by 2 because if 6÷3=2, same for 24÷12=2

Answer:

3x2=6, 6x2=12, 12x2=24

Answer:

x=1

Step-by-step explanation:

x = -4 + 6 + (11 + 4(-3)).

First get the numbers in the parentheses

x = -4 + 6 + (11 - 12)

Since 11 - 12 = -1. We can replace (11-12) with -1

x = -4 + 6 -1

Now add and subtract

x = 1

Answer: a = 300, b = b = 50.24

Step-by-step explanation:

Answer:

y = 17

Step-by-step explanation:

3x = y - 5, for x = 4

=> 3(4) = y - 5

=> 12 = y - 5

=> 12 + 5 = y

=> 17 = y

Answer:

Step-by-step explanation:

Given:

Remember two subsequent negatives turn to positive:

Answer:

5

Step-by-step explanation:

[tex] - 3 - ( - 8)[/tex]

Remove the parentheses:

[tex] - 3 + 8[/tex]

= 5

Answer:Hopefully this is how you do it sorry if i am wrong

Step-by-step explanation:

Answer:

a = 9

b = 2

Step-by-step explanation:

Given : a = 9

a = b + 7

9 = b + 7

b = 9 - 7 = 2

Answer:

[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]

Or:

[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]

Step-by-step explanation:

We are given two complex numbers:

[tex]\displaystyle m + ni \text{ and } p + qi[/tex]

Where m, n, p, and q are real numbers.

And we want to determine the relationship among m, n, p, and q such that the product of the two complex numbers will only have an imaginary part.

Find the product:

[tex]\displaystyle \begin{aligned} (m+ni)(p+qi) &= p(m+ni) + qi(m+ni) \\ &= (pm + pni) + (qmi + qni^2) \\ &= (pm + pni) + (qmi - qn) \\ &= (pm - qn) + i(pn + qm) \end{aligned}[/tex]

Therefore, for the product to have only an imaginary part, the real part must be zero and the imaginary part must not be zero. That is:

[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]

In conclusion, the relationship between m, n, p, and q is:

[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]

Or:

[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]

(Note: I couldn't understand the provided answer choices, but the above answer is indeed correct (and the second equation can be ignored).)

Answer:

sum of two terms. So, the verbal expression 15 plus r can be used to describe the algebraic expression 15 + r

Step-by-step explanation:

Answer:

-300

Step-by-step explanation:

[ 6 × 2 + 2 - [ -6 ] ] [ -5 + | [ - 18 ÷ 6 ]|]

[ 12 + 2 - [ -6 ] ] [ -5 + | [ - 3 ]|]

[ 12 + 2 - [ -6 ] ] [ -5 + 3]

[ 12 + 2  + 6  ] [ -5 + 3]

(20)(-15)

-300