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Arisa [49]
3 years ago
14

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

so

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:

  1. 3.5
  2. 2
  3. B
  4. A

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> 22x - 22y = 40  </u>

<u>22x    + 0  = 70    </u>

<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

  1. plug the value of x in the second equation into the first
  2. (2y-7)+y=23
  3. Remove parentheses
  4. 2y-7+y=23
  5. Combine like terms
  6. 3y-7=23
  7. Add 7 to BOTH sides
  8. 3y=30
  9. divide BOTH sides by 3
  10. 3y/3=30/3
  11. y=10
  12. There are 10 juniors in the class
  1. FINAL STEPS
  2. Plug y (which is 10) into the first equation
  3. x+y=23
  4. x+10=23
  5. subtract 10 from BOTH sides
  6. x=13
  7. Since X equals the number of seniors, there are 10 seniors in the class

8 0
3 years ago
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