All categories

3 years ago

How to solve 4a+8>11a+15and 13-14a<13-3a

Mathematics

1 answer:

AleksAgata [21]3 years ago

4 0

Answer:

Step-by-step explanation:

4a + 8 > 11a + 15

Subtracting 4a both sides

8 > 11a - 4a + 15

Subtracting 15 both sides

8-15 > 7a

-7 > 7a

Dividing both sides by 7

-7/7 > a

-1 > a

13 - 14a < 13 - 3a

Subtracting both sides by 13

13-13 -14a < -3a

Adding 14a both sides

0 > -3a + 14a

0 > 11a

Dividing 11 both sides

0 > a

Hope this helps!

You might be interested in

How do I simplify 3(2a-8b)

Mumz [18]

You would have to do distribution. So you would have to multiply 3 by 2a and multiply 3 by -8b. 3 times 2a equals 6a (always keep the letter) and 3 times -8b equals -24b. (if there is only one negative number when multiplying, always keep the negative sign.) now you are left with 6a-24b. and since we cant put a into b, your answer would be 6a-24b. hopefully this helped you and sorry if it confused you

4 0

4 years ago

Read 2 more answers

Find the perimeter of the polygon with the vertices X(−1, 3), Y(3, 0), and Z(−1,−2). Round your answer to the nearest hundredth

antoniya [11.8K]

Answer:

The perimeter of the polygon is $P=14.47\ units$

Step-by-step explanation:

we know that

The perimeter is the sum of the length sides of the polygon

In this problem

P=XY+YZ+XZ

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance XY

we have

X(−1, 3), Y(3, 0)

substitute

$d=\sqrt{(0-3)^{2}+(3+1)^{2}}$

$d=\sqrt{25}$

$dXY=5\ units$

step 2

Find the distance YZ

we have

Y(3, 0), Z(−1,−2)

substitute

$d=\sqrt{(-2-0)^{2}+(-1-3)^{2}}$

$d=\sqrt{20}$

$dYZ=4.47\ units$

step 3

Find the distance XZ

we have

X(−1, 3), Z(−1,−2)

substitute

$d=\sqrt{(-2-3)^{2}+(-1+1)^{2}}$

$d=\sqrt{25}$

$dXZ=5\ units$

step 4

Find the perimeter

P=XY+YZ+XZ

$P=5+4.47+5=14.47\ units$

5 0

3 years ago

Simplify the expression (2 − 5)(3 + 7) − (4 + 3). Show your work!

Marta_Voda [28]

Answer:

=-37

Step-by-step explanation:

=-3(3+7) - ( 4+3)

=-3.10-(4+3)

=-3.10-7

=-30-7

=-37

7 0

4 years ago

Read 2 more answers

Tiffany deposited two checks into her bank account this month.

Dmitry [639]

so we know the tiffany added 50 and 22 in her account and we know her balance is 306 so to find out how much she earned we have to calculate how much she earned in this case

balance

306-22

306

- 22

_______

284

- 50

2 3 4

so 234 is our answer and we can check our and by seeing if it calculates to

306

234

+ 50

2 8 4

+2 2

306

7 0

3 years ago

this is 200 points my insta is niqdariot for the other 100 pleaseeeeeeeee help me asap its only 4 questions and I need all four

Kamila [148]

Answer:

19. parallel

20. corresponding

21. exterior

22. corresponding exterior angles

if not for the points i wouldve left u to suffer on ur own so yor welcome

8 0

3 years ago

Read 2 more answers