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evablogger [386]
3 years ago
9

Four more than twice Kai’s age does not equal Kara’s age. If Kara is 15 years old, find Kai’s age. Let k = Kai's age.

Mathematics
2 answers:
Cloud [144]3 years ago
7 0
Just -4 to 15 and the divide
Georgia [21]3 years ago
5 0
Kais 3 years old I think not sure
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You saved $300 to spend over the summer. You decide to budget $50 to spend each week.
Oduvanchick [21]

Answer:

<u>Part c) </u>

The Slope of the line is: m=-50 and represents the amount of money spent per week.

<u>Part d) </u>

The y-intercept is: c=300 and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

Step-by-step explanation:

To solve this question we shall look at linear equations of the simplest form reading:

y = mx+c    Eqn(1).

where:

y: is our dependent variable that changes as a function of x

x: is our independent variable that 'controls' our equation of y

m: is the slope of the line

c: is our y-intercept assuming an x⇔y  relationship graph.

This means that as x changes so does y as a result.

<u>Given Information: </u>

Here we know that $300 is our Total budget and thus our maximum value (of money) we can spend, so with respect to Eqn (1) here:

c=300

The budget of $50 here denotes the slope of the line, thus how much money is spend per week, so with respect to Eqn (1) here:

m=50

So finally we have the following linear equation of:

y= - 50x + 300    Eqn(2).

Notice here our negative sign on the slope of the line. This is simply because as the weeks pass by, we spend money therefore our original total of $300 will be decreasing by $50 per week.

So with respect to Eqn(2), and different weeks thus various x values we have:

Week 1: x=1 we have y= -50 *1 + 300 = -50 +300 = 250 dollars.

Week 2: x=2 we have y= -50 *2 + 300 = -100 +300 = 200 dollars.

Thus having understood the above we can comment on the questions asked as follow:

<u>Part c) </u>

The Slope of the line is: m=-50 and represents the amount of money spent per week.

<u>Part d) </u>

The y-intercept is: c=300 and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

4 0
2 years ago
Find the value of 3u-8 given that -7u + 9=2
bulgar [2K]

Answer:

-5

Step-by-step explanation:

-7u+9=2

-7u=2-9

-7u=-7

7u=7

u=7/7

u=1

3(1)-8=3-8=-5

8 0
3 years ago
Read 2 more answers
24 less than 4 times a number is 60. what is the number?
kondaur [170]
Hey there! :D

Make an algebraic expression. 

Let the 'number' equal x. 

4x-24= 60

Add 24 on both sides. 

4x= 84

Divide both sides by 4. 

x=21

The number is 21. 

I hope this helps!
~kaikers 
8 0
3 years ago
£2000 is invested in a bank with 3% interest per annum. work out the amount of money in the account after 2 years
irina [24]

Answer:

The interest is: $120.00 +2000

Step-by-step explanation:

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2 years ago
Geometry Chapter 4 review
Mademuasel [1]
What the question there no question
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