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Charra [1.4K]
3 years ago
6

Solve each Inequality. Write your answer 2.) x + 9 > 16 o​

Mathematics
1 answer:
MrRissso [65]3 years ago
5 0

Answer:

o< 1/16x + 9/16

Step-by-step explanation:

x+9>16o

Flip the equation.

16o<x+9

Divide both sides by 16.

16o/16 < x+9/16

o< 1/16x + 9/16

You might be interested in
Solve by factoring, list steps please<br><br>x^2+8x-20=0
ehidna [41]
Hi again!

x² + 8x - 20 = 0

Factorize the left side

(x - 2)(x + 10) = 0

Then set factors equal to 0

x - 2 = 0 or x + 10 = 0

x = 0 + 2 or x = 0 - 10

x = 2 or x = -10

Always,I am here to help!
4 0
3 years ago
Find the largest positive integer that will divide 542, 436, 398 leaving reminders 7, 11, 15 respectively
saveliy_v [14]

Answer:

17

Step-by-step explanation:

Here in this question for finding the numbers that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively we have to first subtract the remainder of the following. By this step we find the highest common factor of the numbers.

And then the required number is the HCF of the following numbers that are formed when the remainder are subtracted from them.

Clearly, the required number is the HCF of the numbers 398−7=391,436−11=425, and, 542−15=527

We will find the HCF of 391, 425 and 527 by prime factorization method.

391=17×23425=52×17527=17×31

Hence, HCF of 391, 4250 and 527 is 17 because the greatest common factor from all the numbers is 17 only.

So we can say that the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17.

Note: - whenever we face such a type of question the key concept for solving this question is whenever in the question it is asking about the largest number it divides. You should always think about the highest common factor i.e. HCF. we have to subtract remainder because you have to find a factor that means it should be perfectly divisible so to make divisible we subtract remainder. because remainder is the extra number so on subtracting remainder it becomes divisible.

8 0
3 years ago
5. Which point is a solution to this system of equations.
Softa [21]

Answer:

(2, - 1 )

Step-by-step explanation:

3x - y = 7 → (1)

2x + 3y -= 1 → (2)

multiplying ( 1) by 3 and adding to (2) will eliminate y

9x - 3y = 21 → (30

add (2) and (3) to eliminate y

11x = 22 (divide both sides by 2 )

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (2)

2(2) + 3y = 1

4 + 3y = 1 (subtract 4 from both sides )

3y = - 3 ( divide both sides by 3 )

y = - 1

solution = (2, - 1 )

6 0
2 years ago
At the holiday valley ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the re
trapecia [35]

Answer:

18 skis and 10 snowboards were rented.

Step-by-step explanation:

Let the number of skis rented be x and the number of snowboards rented be y.


If a total of 28 people rented on a certain day, then the total number of skis and snowboards rented that particular day is also 28.


This gives us the equation

x+y=28...eqn(1).

If skis cost $ 16, then x number of skis cost $ 16x.


If snowboards cost $ 19, then y number of snowboards cost $ 19y.


The total cost will give us another equation,

16x+19y=478...eqn(2)


From equation (1),

y=28-x...eqn(3).


We put equation (3) into equation (2) to get,


16x+19(28-x)=478


We expand the brackets to obtain,

16x+532-19x=478


We group like terms to get,

16x-19x=478-532

This implies that,

-3x=-54


We divide both sides by -3 to get,


x=18

We put x=18 into equation (3) to get,


y=28-18


y=10


Therefore 18 skis and 10 snowboards were rented.




7 0
4 years ago
7&gt;-4; subtract 7 from both sides
motikmotik

Answer:

The end result would be 0>-11

Step-by-step explanation:

Subtract 7 from each number and then just write it again.

7 - 7 = 0

-4 - 7 = -11

0>-11

5 0
4 years ago
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