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
tino4ka555 [31]
2 years ago
14

Jada walks up to a tank of water that can hold up to 10 gallons how many more minutes will it take for the tank to drain complet

ely explain or show your reason
Mathematics
1 answer:
velikii [3]2 years ago
3 0

Answer:

7.5 minutes

Step-by-step explanation:

Given

See attachment for complete question

Let

t \to time

y \to capacity

From the question, we have the following points

(t_1,y_1) = (0,7) --- When he first sees it

(t_2,y_2) = (3,5) --- 3 minutes later

First, we calculate the rate (m)

m = \frac{y_2 -y_1}{t_2 -t_1}

m = \frac{5 -7}{3 -0}

m = -\frac{2}{3}

The discharge rate is 2/3 gallons per minute

To calculate the additional minute, we simply consider the capacity of the tank at the later time. i.e. 5 gallons

To calculate time (t), we have:

Rate * Time = Capacity

\frac{2}{3} * t = 5

Solve for t

t = 5 *\frac{3}{2}

t = \frac{15}{2}

t = 7.5

You might be interested in
Choose the equation below that represents the line passing through the point (−3, −1) with a slope of 4.
lidiya [134]
Answer choice B is the correct answer
7 0
3 years ago
Read 2 more answers
the value of n is both 5 times as much as the value of m and 36 more than the value of m. what are the values of n and m? explai
xenn [34]
We have to find the values of m and n. We know that the value of n is 5 times as much as the value of m : n = 5 m. Also n is 36 more than the value of m : n = m + 36. This is a system of equations. Of we substitute n = 5 m into the second equation: 5 m = m + 36; 5 m - m = 36; 4 m = 36; m = 36 : 4; m = 9. Finally: n = 5 * 9 ; n = 45. Answer: The values are n = 45 and m = 9.
5 0
3 years ago
Y'all I am struggling Use the following functions to find each value below. f(x)=5x; g(x)=−2x+1; h(x)=x2+6x+8
Anni [7]

Answer:

see below the first three problems

Step-by-step explanation:

f(g(-2))

First, find g(-2) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(-2) = -2(-2) + 1

g(-2) = 5

f(x) = 5x

f(5) = 5(5)

f(5) = 25

f(g(-2)) = 25

g(h(3))

First, find h(3) using function h(x). Then use that value as input for function g(x).

h(x) = x^2 + 6x + 8

h(3) = 3^2 + 6(3) + 8 = 9 + 18 + 8

h(3) = 35

g(x) = -2x + 1

g(35) = -2(35) + 1 = -70 + 1

g(35) = -69

g(h(3)) = -69

f(g(3a))

First, find g(3a) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(3a) = -2(3a) + 1

g(3a) = -6a + 1

f(x) = 5x

f(-6a + 1) = 5(-6a + 1)

f(-6a + 1) = -30a + 5

f(g(3a)) = -30a + 5

5 0
3 years ago
Mario took clothes to the cleaners three times last month. first, he brought 3 shorts and 1pair of slacks and $10.96. then, he b
valina [46]

Let us say that:

x = cost of shorts

y = cost of slacks

z = cost of sports coat

 

From the given statements, we can create the following equations:

eqtn 1: 3 x + y = 10.96

eqtn 2:  7 x + 2 y + z = 30.40

eqtn 3:  4 x + z = 14.45

 

Rewrite eqtn 1 explicit to y:

y = 10.96 – 3 x                    --> eqtn 4

 

Rewrite eqtn 3 explicit to z:

z = 14.45 – 4x                     --> eqtn 5

 

Plug in the values of y (eqtn 4) and z (eqtn 5) to eqtn 2:

7 x + 2 (10.96 – 3 x) + 14.45 – 4 x = 30.40

7 x + 21.92 – 6 x + 14.45 – 4 x = 30.40

- 3 x + 36.37 = 30.40

- 3 x = - 5.97

x = 1.99

 

Eqtn 4:

y = 10.96 – 3 x   

y = 10.96 – 3 (1.99)

y = 4.99

 

Eqtn 5:

z = 14.45 – 4x

z = 14.45 – 4 (1.99)

z = 6.49

 

 

Therefore each shirt cost $1.99, each slacks cost $4.99, and each sports coat cost $6.49.

<span> </span>

7 0
3 years ago
What part of students like lemonade
Sphinxa [80]

Probably 23 not sure

7 0
3 years ago
Other questions:
  • Can someone please help me with number 18 !! :(
    5·1 answer
  • Suppose that 12% of test scores for the unit 1 test were above 85 and 8% were below 70. Assuming a normal
    12·1 answer
  • a boat travels 45 miles upstream (against the current) in 5 hours. the boat travels the same distance downstream in 3 hours. wha
    10·1 answer
  • Qual é o resultado da multiplicação a seguir:
    10·1 answer
  • If y=8 when x =3, find y when x=45
    14·1 answer
  • What is 1/3 into decimal form
    10·2 answers
  • HELP ME PLEASE!!!!!!!!​
    8·1 answer
  • please solve this question
    10·2 answers
  • Which number is a counting number? Can you do both of them plz
    5·1 answer
  • What is the sum of -1/2 and 3/4 <br> I will mark Brainly
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!