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ss7ja [257]
3 years ago
11

x is partly constant and partly varies with y. When y=3, x = 7 and when y = 6, x = 9. Find x when y = 4

Mathematics
1 answer:
hoa [83]3 years ago
4 0

Answer:

x=23/3

Step-by-step explanation:

x=c+ay

7=c+3a     | *(-1)

9=c+6a

-7=-c-3a

9=c+6a

------------

9-7=c-c+6a-3a

2=3a

a=2/3

7=c+3*2/3

7=c+2

-2   -2

5=c

so   x=5+2/3*y

when y=4 then  x=5+2/3*4=5+8/3

x=15/3+8/3

x=23/3

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VikaD [51]
7-15= -8
so -8 degrees celsius

8 0
3 years ago
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
3 years ago
If 19 represents 228 gallons, what is the value of 6 units
levacccp [35]

Answer:

72 gallons

Step-by-step explanation:

we know that

19 units represent 228 gallons

so

using proportion

Find out how many gallons represent 6 units

Let

x ---> the number of gallons for 6 units

\frac{228}{19}\ \frac{gallons}{units} =\frac{x}{6}\ \frac{gallons}{units}\\\\x=228(6)/19\\\\x=72\ gallons

7 0
3 years ago
What does a plant cell have that an animal cell does not have? (select all that apply.) please answer me
Ludmilka [50]

Step-by-step explanation:

plant cells have a cell wall for to prepared their own food but animal cell haven't cell wall

plant cell have a large vacuoles but in plant cell it has Avery small vacuoles the two have the main difference between animal cell plant cell

6 0
2 years ago
Solve for x in the diagram below.
Ghella [55]

Answer:

x= 20

Step-by-step explanation:

The three angles add to 90 degrees

x+2x+x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x +10-10 = 90-10

4x = 80

Divide by 4

4x/4 = 80/4

x = 20

6 0
3 years ago
Read 2 more answers
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