1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vitek1552 [10]
3 years ago
15

a plumber has a very long piece of pipe is used to run the water parallel to a major place the pipe is cut into two sections 1 s

ection of pipe is 12 feet shorter than the other three fourths of the pipe is 120 feet how long is the longer piece of pipe? can you help me set up an algebraic equation?
Mathematics
1 answer:
tangare [24]3 years ago
4 0
Let x = the shorter piece and Let y = the longer piece. 

(3/4)x = 120 

x = 120 / (3/4) 

x = 120 * (4/3 = 480/3) = 160 feet 

y = 160 + 12
You might be interested in
SOMEONE PLZ HELP ME!!!! I WILL GIVE BRAINLIEST!!!
MAXImum [283]

Answer:

Step-by-step explanation:

Let the quadratic equation of the function by the points in the given equation is,

f(x) = ax² + bx + c

If the points lying on the graph are (-3, -10), (-4, -8) and (0, 8),

For (0, 8),

f(0) = a(0)² + b(0) + c

8 = c

For a point (-3, -10),

f(-3) = a(-3)² + b(-3) + 8

-10 = 9a - 3b + 8

9a - 3b = -18

3a - b = -6 --------(1)

For (-4, -8),

f(-4) = a(-4)² + b(-4) + 8

-8 = 16a - 4b + 8

-16 = 16a - 4b

4a - b = -4 ------(2)

Subtract equation (1) from equation (2)

(4a - b) - (3a - b) = -4 + 6

a = 2

From equation (1),

6 - b = -6

b = 12

Function will be,

f(x) = 2x² + 12x + 8

     = 2(x² + 6x) + 8

     = 2(x² + 6x + 9 - 9) + 8

     = 2(x² + 6x + 9) - 18 + 8

     = 2(x + 3)² - 10

By comparing this function with the vertex form of the function,

y = a(x - h)² + k

where (h, k) is the vertex.

Vertex of the function 'f' will be (-3, -10)

And axis of symmetry will be,

x = -3

From the given graph, axis of the symmetry of the function 'g' is; x = -3

Therefore, both the functions will have the same axis of symmetry.

y-intercept of the function 'f' → y = 8 Or (0, 8)

y-intercept of the function 'g' → y = -2 Or (0, -2)

Therefore, y-intercept of 'f' is greater than 'g'

Average rate of change of function 'f' = \frac{f(b)-f(a)}{b-a} in the interval [a, b]

                                                               = \frac{f(-3)-f(-6)}{-3+6}

                                                               = \frac{-10-8}{3}

                                                               = -6

Average rate of change of function 'g' = \frac{g(b)-g(a)}{b-a}

                                                                = \frac{g(-3)-g(-6)}{-3+6}

                                                                = \frac{7+2}{-3+6}

                                                                = 3

Therefore, Average rate of change of function 'f' is less than 'g'.

6 0
3 years ago
Need help please
Lelu [443]

Answer:p

pn gv=0753vc

Step-by-step explanation:

4 0
3 years ago
Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses but wants to spend le
Umnica [9.8K]

Answer: x+y\geq12

2.75x+3.50y\leq35

Step-by-step explanation:

Let x represents the number of red roses and y represents the number of white roses.

Given : Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses.

i.e. the required inequality for this statement will be :-

No. of red roses +No. of white roses ≥ 12

i.e. x+y\geq12

Also, Red roses cost $2.75 each and white roses cost $3.50 each and he wants to spend less than $35.

i.e. $2.75(No. of red roses)+$3.50(No. of white roses)≤ $35

i.e. 2.75x+3.50y\leq35

Now, From (1) and (2) the system of inequalities represents the situation :

x+y\geq12

2.75x+3.50y\leq35

8 0
3 years ago
Read 2 more answers
I need help with a algebra question pleasee
rusak2 [61]

Answer:

yes

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Scott works on cars. He charges $35 for each car plus $13 per hour. Yesterday he worked for 5 hours on 3 different cars. How muc
Mashcka [7]

Answer:

170

Step-by-step explanation:

35 x 3cars= 105  13 x 5hours= 65      105+65= $170

7 0
3 years ago
Read 2 more answers
Other questions:
  • 20 POINTS ASAP The graphed line can be expressed by which equation? Math item stem image y+3=32(x+1) y−0=−32(x+1) y−3=32(x−1) y−
    8·2 answers
  • I need help on this question plz
    8·1 answer
  • The diameter of circle P is 31.6. What is the approximate area of a circle P?
    12·1 answer
  • You purchase 26 “parking hours” that you can use over the next month to park your food truck at the fair. Weekday hours costs $2
    6·1 answer
  • Estimake square root of 11. ?
    10·2 answers
  • HELP ME WITH THIS PLZZZ!!!!!
    6·1 answer
  • *falls on floor crying*❤️❤️❤️❤️
    10·1 answer
  • Parker offers to pay for 5 of his friends to play laser tag, but 3 of them don’t want to play. Parker offers to pay for 5 of his
    7·1 answer
  • Given: ZBECis a right angle<br> Prove: ZAEB and ZCED are complementary
    15·1 answer
  • What is 3^-2 in evaluate expression
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!