MATHEMATICS HIGH SCHOOL

The question is in the pic below

Answers

Answer 1

Answer:

Answer:

k = -5

w = -8

f = -10

Step-by-step explanation:

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Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable. Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes? How does this work i cant really figure it out

Answers

For this case, the first thing we must do is define variables.

We have then:

t: the time in minutes

k: the number of kilometers

The relationship between both variables is direct.

Therefore, the function is:

Where, "c" is a constant of proportionality.

To determine "c" we use the following data:

After running for 18 minutes, she completes 2 kilometers.

Substituting values:

Clearing c we have:

Then, the equation is given by:

Answer:

An equation that can be used to represent k, the number of kilometers Julissa runs in t minutes is:

$k (t) = (1)/(9) * t$

First of all you want to see how long she runs for 1 km and you can figure that out by doing 18/2 and 54/6, they both equal to 9.
So that means that Julissa is running an average of 9 kilometers per minute creating the equation of : t = 9k

I was walking to the store at the same time as my friend Angela. No matter what, She has always gotten there twice as fast as me. Half way to the store her friend picks her up on his scooter which was 10 times faster than me. She got there in 30 minutes. How long did it take for me to get there?

Answers

let's call your speed "a"

her walking speed is then "2a"

and her friend's scooter speed is 10 a

let's also call the distance you need to walk "d"

so the time (t)you need is:

d/t=a
t=d/a

and her time is:
t= $(d)/(2) /2a+ (d)/(2) /10a$
(half a distance with the speed of 2a and half a distance (d/2) with the distance of 10 a

now we count (we know that her time is 30 minutes)

30= $(d)/(4a)+(d)/(20a)$ //multiply by 20a

600a= $5d+d$
600a=6d/divide by 6
100a=d

Now, in order to calculate your time we need to calculate:

t=d/a

but we know how much is d now!
t= $(100a)/(a)$ =100

which means that you need 100 minutes, or 1 h 40 minutes!!!

What number should be added to the expression x^2 + 14x to change it into a perfect square trinomial? Can you help me with this?

Answers

x^2+14x

To make it as perfect square binomial first divide the numerical coefficient of 14 by 2 which is 7. Then square the result[7] which is 49 and add it to the equation
x^2+14x+49
After that think of a number that has a square root of 49 then when u multiply the second term in the perfect square by the first and 2 it results to 14. So the answer is
[x+7]^2

In a True/False question, two negatives will cancel each other out.
a. True
b. False

Answers

True, two negatives will cancel each other out, the correct option is a.

By the mathematical notation rule we know that,

(+) × (+) = (+)

(-) × (+) = (-)

(+) × (-) = -

(-) × (-) = +

Therefore, the given statement is true.

Learn more about mathematical notation here:

brainly.com/question/30118799

#SPJ4

the answer is A. True. Good luck.:)

hideko has 3/5 yard of ribbon to tie on balloons for the festival. Each balloon will need 3/10 yard of ribbon. how many balloons can Hideko tie with ribbon?

Answers

In the given question, most of the information's are already provided. Using these information's the required answer can be easily found. Hideko has 3/5 yard of ribbon in total. He needs 3/10 yards of ribbon to tie 1 balloon. It has to be found, the number of balloons Hideko can tie with the total ribbon he has.
Let us assume that the number of balloons Hideko can tie = x
then
3/10 yard of ribbon is required to tie = 1 balloon
3/5 yard of ribbon can be used to tie = (10/3) * (3/5)
= 2
So Hideko can tie 2 balloons with the total ribbon he has.

3/5 times 2 = 6/10
3/10 + 3/10 = 6/10
so 2 times

In which of the following stores would you pay the least amount for an item that is priced $360? Store A: Sale of 10% off and a successive discount of 10% off. Store B: Sale of 15% with no additional discount. Store C: Sale of $35 off and a successive discount of 10% off.

Answers

Given:
Price : 360

Store A: Sale of 10% off and a successive discount of 10% off.
360 * (100-10)% = 360 * 90% = 324
324 * (100-10)% = 324 * 90% = 291.60

Store B: Sale of 15% with no additional discount
360 * (100-15)% = 360 * 85% = 306

Store C: Sale of $35 off and a successive discount of 10% off
360 - 35 = 325
325 * (100-10)% = 325 * 90% = 292.50

Store A has the least amount to pay for an item at price of 291.60

Answer:

option b

Step-by-step explanation:

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