What is the solution to the inequality?

Solve the system by substitution. [-2.5x+y = 13.5 12.25x - y=-12.25

IrinaK [193]

Answer:

x = 5/39 , y = 539/39

Step-by-step explanation:

Solve the following system:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

In the first equation, look to solve for y:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:

y - (5 x)/2 = 27/2

Add (5 x)/2 to both sides:

{y = 1/2 (5 x + 27)

12.25 x - y = -12.25

Substitute y = 1/2 (5 x + 27) into the second equation:

{y = 1/2 (5 x + 27)

1/2 (-5 x - 27) + 12.25 x = -12.25

(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

In the second equation, look to solve for x:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:

(39 x)/4 - 27/2 = -49/4

Add 27/2 to both sides:

{y = 1/2 (5 x + 27)

(39 x)/4 = 5/4

Multiply both sides by 4/39:

{y = 1/2 (5 x + 27)

x = 5/39

Substitute x = 5/39 into the first equation:

{y = 539/39

x = 5/39

Collect results in alphabetical order:

Answer: {x = 5/39 , y = 539/39

5 0

3 years ago

A particular dam contains approximately 1,900,000,000,000 cubic feet of water. for a week long spike flood, the dam released at

Fantom [35]

Answer:

a) How much water was released during the flood?

14878080000 cubic feet or 14,878,080,000ft³

b) What percentage of the dam was released during the flood?

0.78%

Step-by-step explanation:

a) How much water was released during the flood?

The first step would be to find out how many seconds are in a week

60 seconds = 1 minute

60 minutes = 1 hour

24 hours = 1 day

7 days = 1 week

Hence, the number of seconds in a week =

1 week × (7 days/1 week)× (24 hours/1 day )×( 60 minutes/1 hour) ×( 60 seconds/1 minute)

= 604800 seconds

Therefore, the quantity of water released per week =

604800 seconds × 24,600 cubic feet per second

= 14,878,080,000 cubic feet or 14,878,080,000ft³

b) What percentage of the dam was released during the flood?

This is calculated as quantity released during the week ÷ Quantity of water in the dam × 100%

Quantity of water released during the flood in a week = 14,878,080,000 cubic feet

Quantity of water in the dam= 1,900,000,000,000 cubic feet of water

Percentage of the dam released during the flood =

14,878,080,000 cubic feet ÷ 1,900,000,000,000 × 100

= 0.7830568421%

Approximately = 0.78%

7 0

3 years ago

Solve for h SA = 2pir^2 + 2pirh

aivan3 [116]

SA = 2πr² + 2πrh

• Factorize right side

SA = 2πr(r² + h)

• Divide both sides by 2πr

SA/2πr = r² + h

• Move r² to left side

h = r² - (SA/2πr)

3 0

3 years ago

Eighty-eight percent of all people who try to do this ratio and proportion

Inessa [10]

Answer: 61 people have worked on this worksheet so far.

Step-by-step explanation:

Given: 80% people try to do this ratio and proportion worksheet find they need some help with the problems.

Let x be the total number of people worked on this worksheet so far.

People need some help with the problems. =80% of x = 0.80x

As per given,

0.80x=49

$\Rightarrow x=61.25\approx61$

Hence, 61 people have worked on this worksheet so far.

8 0

3 years ago

42 ft. 30 ft Both triangles are similar The area of the larger triangle is about 382 ft

lesantik [10]

Answer:

just awnsering for the points sorry man

Step-by-step explanation:

6 0

2 years ago