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Sophie [7]
3 years ago
7

Solve the compound inequality below:

Mathematics
1 answer:
insens350 [35]3 years ago
8 0
3 - 8r <= 3 + 4r
3 - 3 <= 4r + 8r
0 <= 12r
0 <= r

-6+ 4r < 2+ 4r
4r - 4r < 2 + 6
0 < 8
all real numbers

The "or" statement means combining the sets of solutions.

combined sets = all real numbers
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Five whole numbers are written in order
xenn [34]

Answer:

The values of x and y is given by the equation 4x-y=20+y.

Step-by-step explanation:

Given : Five whole numbers are written in order  4 6 x y 10 , the mean and median of the five numbers are the same.

To find : The values of x and y ?

Solution :

Observations 4, 6, x, y, 10.

Mean is summation of observation divided by number of observation.

i.e. m=\frac{\sum x_n}{n}

m=\frac{4+6+x+y+10}{5}

m=\frac{20+x+y}{5}

Median is middle term of observations.

Median of odd terms M=\frac{n+1}{2}^{th} term

M=\frac{5+1}{2}^{th}

M=3^{rd} term

M=x

The mean and median of the five numbers are the same.

i.e. \frac{20+x+y}{5}=x

20+x+y=5x

4x-y=20+y

The values of x and y is given by the equation 4x-y=20+y.

5 0
3 years ago
Read 2 more answers
HOW MANY DIFFERENT COMMITTEES CAN BE FORMED FROM 4 TEACHERS AND 20
Daniel [21]

Answer:

6840

Step-by-step explanation:

multiply combinations

n!/(r!(n − r)!)

n choose r

n (objects) = |n

r (sample) = r

(4 teachers, CHOOSE 2)*(20 students, CHOOSE 3)

C(4,2) times C(20,3) =

C(n,r)=?

C(n,r) = C(4,2)

4! / (2!(4-2)!)

4! /2! x 2!

= 6

C(n,r)=?

C(n,r) = C(20,3)

20! / (3!(20-3)!)

20! /  3! x 17!

= 1140

6 * 1140 = 6840

alegbracom Edwin McCravy

4 0
1 year ago
Pls help me with my math
xxTIMURxx [149]

Answer:a

Step-by-step explanation:Bottom line includes the end point so should be less than or equal. Top line does not so should be greater than

4 0
2 years ago
!!MATH GENIUSES HELP ME!!
seraphim [82]

Answer:

D

Step-by-step explanation:

Let x be Bill’s scores.

Let y be Theo’s scores.

x + y = 90

x² = y

Solve for x in the second equation.

x = √y

Put x as √y in the first equation and solve for y.

√y + y = 90

√y = 90 - y

y = (90 - y)²

y = - y² - 180y - 8100

0 = -y² - 181y - 8100

0 = (-y+81)(y-100)

-y+81=0

y = 81

y - 100 = 0

y = 100

100 does not work if we plug in to check, so y is 81.

y = 81

Put y as 81 in the first equation and solve for x.

x + 81 = 90

x = 9

Bill scored 9 goals and Theo scored 81.

8 0
3 years ago
What is 9 x 9 divided by 7. Please show your work :D
Andru [333]
9x9+81

81/7= 81 over 7, or 11.6
6 0
2 years ago
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