Help me thank you!!:)

Given:

Eighteen 2.5 gallon buckets are needed to fill a cistern with water.

To find:

The constant of variation.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

Where, k is constant of variation.

In the given problem, water in cistern (w) is directly proportional to number of buckets (n).

[tex]w\propto n[/tex]

[tex]w=2.5n[/tex]        (Capacity of each bucket is 2.5 gallons)

Therefore, the constant of variation is 2.5.

Answer:

45

Step-by-step

I just did 18 * 2.5!

It a simple answer!

The quantites are inversely so that means you multiply the numbers. Like 18 * 2.5. That's how I got 45

Answer: x = 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the time it will take Alfonso be x

Let the time it will take Zoe be y

If Alfonso does a job in 30 hours more than Zoe, then;

x = 30+y...... 1

Also if they can do the job together in 8 hours, then;

x+y = 8.... 2

Substitute 1 into 2;

x+y=8

30+y+y = 8

40+2y = 8

2y = -32

y = -16

Hence X = 30-16

X = 14

y = 30+14 = 44

hence it will take Alfonso about 44hours to do the work alone

Answer:

i think it is b

Step-by-step explanation:

Answer:

oh wow thats alot

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠A or ∠SAM

Answer:

−3X−30

Step-by-step explanation:

Answer:

51 cm

Step-by-step explanation:

perimeter = 2 * length + 2 * width

226 = 2 * 62 + 2 * width

226 = 124 + 2 * width

226 - 124 = 2 * width

102  = 2 * width

102/2 = width

51 = width

Answer:

1. x= -4

2. x= 18

3. x= -15

4. x = 6

Step-by-step explanation:

Use relationship of angles to create equations and solve for x

You need to pay attention to see if the sides will be equal to each other or equal to 180

first picture on top left is x = -4

second picture on top right is x = 19/2

third picture on bottom left is x = -5

fourth picture on bottom right is x = 166/41

Answer:

Learn your timetables daily.

Step-by-step explanation:

You can find songs online to help you memorize and understand them in the simplest form.

Answer:

you should practice your timetables and do some math practice so you could understand other math like division.

Step-by-step explanation:

Answer:

-5/2

Step-by-step explanation:

the slope of a perpendicular line is the opposite reciprocal

Answer:

D. [tex]\frac{1}{27}[/tex]

Step-by-step explanation:

[tex]3^{-3}[/tex] = [tex]\frac{1}{27}[/tex]. First you need to remove the negative exponent, to do this move the term into the denominator. [tex]\frac{3^{-3} }{1}[/tex] becomes [tex]\frac{1}{3^{3} }[/tex], then solve for [tex]3^{3}[/tex], which equals 27. So your answer is [tex]\frac{1}{27}[/tex].

Answer:

x y and z?

Step-by-step explanation:

Answer:

Step-by-step explanation:

x= -3

Answer:

4, 10, 15

Step-by-step explanation:

Because 4 plus 10 is less than 15

Answer:

Step-by-step explanation:

The standard expression of equation of a  line in slope-intercept form is expressed as;

y = mx+c

m is the slope

c is the intercept

Given

slope m = -3

Point (x, y) = (-1, 3)

x = -1 and y = 3

Get the intercept

To get the intercept c, we will substitute the given values into the equation above to have;

y = mx+c

3 = -3(-1)+c

3 = 3 + c

c = 3-3

c = 0

Substitute m = -3 and c = 0 into the equation above;

y = mx+c

y = -3x+0

y = -3x

Hence the required linear equation is y = -3x

Answer:

Step-by-step explanation:

If it is irrational, it can never be rational unless it is acted upon by something else like a power.

Pi, no matter what is done to it, can never be rational.  Once a number is declared as irrational, that is what it remains.

Step-by-step explanation:

exterior angle = 60°

exterior angle = 360/n

60° = 360°/n

60n = 360°

n = 6

A regular polygon with 6 sides is a HEXAGON.

Step-by-step explanation:

Yz / RT = SZ / ST

2X +2 / 3X -7 = 35 / 40= 7 / 8

8( 2x+2) = 7( 3x-7 )

16 x +16 = 21x 49

5x = 65

x =13

YZ = 2×13 +2 = 28

Answer:

The answer is B. Statistics

Answer:

10

Step-by-step explanation:

Answer:

1, -5, -14

Step-by-step explanation:

Domain is the x-axis, and range is the y axis.

So plug in the x values (domain values) to the equation.

Answer:

ok really tough

Step-by-step explanation:

ok if you subtract u will get your answer

Answer:

2x+7=-3+2x multiply what’s in the bracket by the negative sign

Collect like terms

2x-2x=-3-7, so

0=-10

Step-by-step explanation:

I hope this is the answer, if it helped please give me brainliest

Answer:

B

Step-by-step explanation:

Kinda complex to explain without a graph but its the answer

Answer:

8 and -16...............

| x + 4 | = 12 <=> x + 4 = 12 hoặc -x - 4 = 12 <=> x = 8 hoặc x = -16

Answer:

Step-by-step explanation:

There is not a table to look at.

But, if she saves $3 a week. 35/3= 11.6. It'll take her 11.6 or 12 weeks to save up $35.

Answer:

12 weeks

Step-by-step explanation:

She earns $5 each week, but she only saves $3. This would mean that she saves $3 a week and with a end goal of $35, it would take 11.6 weeks, which would round up to 12.

Hope this helps :)

Answer:

6y−20

Step-by-step explanation:

Answer:

2 dollars each duh

Step-by-step explanation:

Answer:

Sorry not sure but try y-6= -1 (x - 3)

Step-by-step explanation:

Answer:

b=35°

Step-by-step explanation:

complementary angles add up to 90°

a+b=90°

55°+b=90°

-55 -55

b=35°

hopefully this helps :)