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3 years ago

Solve -4/3x+1/6<7/9

Mathematics

1 answer:

DochEvi [55]3 years ago

5 0

Answer:

$\large\boxed{x>-\dfrac{11}{24}}$

Step-by-step explanation:

$-\dfrac{4}{3}x+\dfrac{1}{6}$

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Kaya's family spends $105 to rent a boat for 7 days. The total cost, c, of the boat rental is proportional to the number of days

Elza [17]

Answer:

$c=15d$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

c ----> the total cost of the boat rental

d ---> is the number of days, the family rents the boat

we know that

Kaya's family spends $105 to rent a boat for 7 days

For d=7 days, c=$105

Find the value of the constant of proportionality k

$k=\frac{c}{d}$

substitute the given values

$k=\frac{105}{7}=\$15\ per\ day$

therefore

The linear direct equation is equal to

$c=15d$

8 0

3 years ago

PLS HELP WILL GIVE BRAINLIEST

frozen [14]

Answer:

Step-by-step explanation:

Middle School:

Find the median by arranging the data points from smallest to largest.

1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)

7/2 = 3.5

High School:

1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)

4/2 = 2

Most of the points in the middle school plot are four or less.

A (High school students had more variation.)

3 0

3 years ago

Use calculus to find the first order conditions. Use solver then to solve the first order conditions. Show your work for the fir

DaniilM [7]

The values of x and y are 70/22 and 30/22 respectively by using the first-order condition of differential calculus.

<h3>What is the first-order condition in differential calculus?</h3>

A first-order differential equation is represented by the equation $\mathbf{ \dfrac{dy}{dx} =f (x,y) }$ with 2 variables x & y, including its function f(x,y) specified on a xy-plane.

Given that:

$\mathbf{f(x,y) =-22x^2+22xy-11y^2+110x-40y-23}$

Let us first differentiate the above equation with respect to x, we have:

$\mathbf{\dfrac{\partial f(x,y) }{\partial x} = -44x +22y -0+110-0-0=0}$

$\mathbf{\implies -44x +22y+110=0}$ (multiply by -1)

44x - 22y = 110 ------ (equation 1)

Now, differentiating with respect to y, we have:

$\mathbf{\dfrac{\partial f(x,y) }{\partial y} =0 +22x-22y +0-40-0=0}$

$\mathbf{\implies 22x-22y -40=0}$

22x - 22y = 40 ----- (equation 2)

Now, we have a system of equations:

44x - 22y = 110

- ---- ( subtracting equation 2 from 1; elimination method)

<u />

x = 70/22

Replacing the value of x into equation (1), we have:

44x - 22y = 110

44(70/22) - 22y = 110

140 - 22y = 110

140 - 110 = 22y

30 = 22y

y = 30/22

Learn more about the first-order conditions in differential calculus here;

brainly.com/question/14528981

#SPJ1

4 0

2 years ago

Chris and 3 friends shared 3/4 of a bag of popcorn equally. How much popcorn did each person get?

koban [17]

Answer: 3/16 of the bag

Step-by-step explanation: 3/4 divided by 4 is the same as 3/4 * 1/4 which is 3/16

4 0

3 years ago

Read 2 more answers

A certain high school class consists of juniors and seniors. There are

Genrish500 [490]

Answer:

10 SENIORS

Step-by-step explanation:

x=# of seniors

y=# of juniors

x+y=23, x=2y-7

plug the value of x in the second equation into the first
(2y-7)+y=23
Remove parentheses
2y-7+y=23
Combine like terms
3y-7=23
Add 7 to BOTH sides
3y=30
divide BOTH sides by 3
3y/3=30/3
y=10
There are 10 juniors in the class

FINAL STEPS
Plug y (which is 10) into the first equation
x+y=23
x+10=23
subtract 10 from BOTH sides
x=13
Since X equals the number of seniors, there are 10 seniors in the class

8 0

3 years ago