14. Sixteen is the same as the quotient of a number and 12.

The width of a rectangle is 11.4 meters and its length is 18.7 Find the area.

vazorg [7]

Answer:

Area = 213.18

Step-by-step explanation:

11.4 x 18.7 = 213.18

Hope this helps you! :)

8 0

3 years ago

Can anyone please help me in this

Alik [6]

These problems are called systems of equations. Basically you have two linear equations and you need to find the values for x and y. In other words, all these equation are lines and our answer will be the exact point that the pair of lines intersect. For example, if we get x=1 and y=2 the lines will intersect at point (1,2). Now that you have some background knowledge here comes the tricks and tactics kid.

We know that we can solve one variable equation easily. For example...

x+1=2

x=1 obviously

Cause we have two variables x and y it is not possible to find a solution. For example, in the equation x+y=10, x=1 when y=9 and x=2 when y=8. There is not correct answer.

So what can we do? We have to make a two variable equation into a one variable equation.

There are two ways to do this: substitution and elimination. I will create a sample problem and then solve it using both methods.

x+y=2

2y-y=1

3)

-3x-5y=-7 -----> -12x-20y=-28

-4x-3y=-2 ------> -12x-9y=-6

-12x-20y=-28

-(-12x-9y=-6)

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

-11y=-22

y=2

-3x-5(2)=-7

-3x=3

x=-1

4) 8x+4y=12 ---> 24x+12y=36

7x+3y=10 ---> 28x+12y=40

28x+12y=40

-(24x+12y=36)

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

4x=4

x=1

8(1)+4y=12

4y=4

y=1

5) 4x+3y=-7

-2x-5y=7 ----> -4x-10y=14

4x+3y=-7

+(-4x-10y=14)

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

-7y=7

y=-1

4x+3(-1)=-7

4x=-4

x=-1

6) 8x-3y=-9 ---> 32x-12y=-36

5x+4y=12 ---> 15x+12y=36

32x-12y=-36

+(15x+12y=36)

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

47x=0

x=0

8(0)-3y=-9

-3y=-9

y=3

7)-3x+5y=-2

2x-2y=1 ---> x-y=1/2 ----> x=y+1/2

-3(y+1/2)+5y=-2

-3y-1.5+5y=-2

2y=-0.5

y=0.25

2x-2(0.25)=1

2x=1.5

x=0.75

4 0

3 years ago

Oscar is comparing lengths and weights of hamsters to see if there is a relationship between the two. Which answer shows the bes

ira [324]

Answer:

scatter plot :)

Step-by-step explanation:

6 0

3 years ago

The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the triangle is increasing at a rat

sp2606 [1]

The base of the triangle is decreasing at a rate of 3.60 centimeters/minute.

According to the statement

we have to find that the rate at which the base of triangle changing.

So, For this purpose,

Area of triangle: A = (1/2)(b * h)

Related Rates - Derivative with respect to time:

(d/dt)[A = (1/2)(b * h)]

Then

dA/dt = (1/2)[b * dh/dt + h * db/dt]

Given: h = 11 centimeters, A = 91 square centimeters, b = ??

A = (1/2)(b * h)

Then it becomes

b = 2A/h

substitute the value then

b = 2(91)/11

b = 16.54 centimeters

Then

h = 11 centimeters, b = 16.54 centimeters, dA/dt = 5 square centimeters/minute, dh/dt = 3 centimeters/minute, db/dt = ?? centimeters/minute

So,

(d/dt)[A = (1/2)(b * h)]

Then it become

dA/dt = (1/2)[b * dh/dt + h * db/dt]

5= (1/2)[16.54 * 3 + 11 * db/dt]

5= 49.62/2 + 11/2 * db/dt

11/2 * db/dt = 5- 49.62/2

5.5*db/dt = 5 - 24.81

db/dt = -19.81/5.5

db/dt = -3.60 centimeters/minute

So, The base of the triangle is decreasing at a rate of 3.60 centimeters/minute.

Learn more about base of triangle here

brainly.com/question/23945265

#SPJ4

7 0

1 year ago

Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administrati

frosja888 [35]

Answer:

h less-than 2

Step-by-step explanation:

Let

h ---> the number of hours

y ---> the total charge in dollars

we know that

The linear equation is slope intercept form is equal to

$y=mh+b$

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

we have

Grayson

The slope is equal to $m=\$35\ per\ hour$

The y-intercept is $b=\$35$

so

The total charge is equal to

$y=35h+35$ ----> equation A

Ian

The slope is equal to $m=\$45\ per\ hour$

The y-intercept is $b=\$15$

so

The total charge is equal to

$y=45h+15$ ----> equation B

For what number of hours does Grayson charge more than Ian?

The inequality that represent this situation is

$35h+35 > 45h+15$

solve for x

Group terms

$35-15 > 45h-35h$

$20 > 10h$

Divide by 10 both sides

$2 > h$

Rewrite the expression

$h< 2\ hours$ ----> h less than 2 hours

6 0

2 years ago

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