All categories

2 years ago

X=5 y=7 find the constant of variation

1 answer:

3 0

When two variable quantities have a constant ratio, their relationship is called a direct variation. It is said that one variable varies directly as the other.

You might be interested in

Tom can inflate 20 basketballs in 16 minutes . He concludes that if the total number of basketballs he can inflate, b, is propor

kifflom [539]

Answer:

Step-by-step explanation:

Step one:

given

we are told that tom can inflate 20 basketballs in 16 minutes

hence in one minute, he can inflate 20/16

= 10/8= 5/4 basketballs per minute

the rate at which he inflate the ball is 5/4 ball per minute.

The total number b is proportional to the number of minute

$b\alpha t$

3 0

3 years ago

(Need Help Quickly) find the measurement indicated in each trapezoid. (ISOSCELES TRAP) Do NOT include units (degrees, inches, fe

victus00 [196]

Answer:

Notice in my attached drawing that I have located point H in two different locations, point H and point H2 for argument purposes.

Line FE is equal to line GH in length.

angle at corner F is 95 degrees.

The angle at point E varies with the location of point H, or with the length of line FG.

More information is needed to determine an exact angle at point E.

7 0

2 years ago

. The U.S. Postal Service will accept a box for domestic shipment only if the sum of its length and girth (distance around) does

Elenna [48]

Answer:

Dimension a = 18 , b= 36 will give a box with a square end the largest volume

Step-by-step explanation:

Given -

sum of box length and girth (distance around) does not exceed 108 inches.

Let b be the lenth of box and a be the side of square

b + 4a = 108

b = 108 - 4a

Volume of box = $area \times lenth$

= $a^2\times b$

V = $a^2\times b$

puting the value of b

V = $a^2 ( 108 - 4a )$

$V = 108a^2 - 4a^3$

To find the maximum value of V

(1) we differentiate it

$\frac{\mathrm{d} V}{\mathrm{d} a} = 216a - 12a^2$

(2) $\frac{\mathrm{d} V}{\mathrm{d} a} = 0$

$216a - 12a^2$ = 0

12a ( 18 - a ) =

a = 0 and a = 18

(3) putting the value of a if $\frac{\mathrm{d^2} V}{\mathrm{d} a^2}$ = negative then the value for a ,V is maximum

$\frac{\mathrm{d^2} V}{\mathrm{d} a^2}$ = 216 - 24a

put the value of a = 0 , $\frac{\mathrm{d^2} V}{\mathrm{d} a^2}$ = 216

put the value of a = 18 , $\frac{\mathrm{d^2} V}{\mathrm{d} a^2} =$ negative

for the value of a =18 V gives maximum value

Max volume = $108\times18^2 - 4\times18^3$

= 11664

a = 18 , b = 108 - 4a = $108 - 4\times 18$ = 36

8 0

3 years ago

The box plots below show the miles per gallon (mpg) ratings distribution for three types of cars.

andreyandreev [35.5K]

Pls help ASAP i don’t have time!!!!! Pls help ASAP i don’t have time!!!!!

3 0

3 years ago

Given Point A (3,-4) and Point B (8,6) on directed line segment AB, what is the y-coordinate of Point F

Allisa [31]

Answer:

(6,2) y-coordinate is 2

Step-by-step explanation:

6 0

3 years ago