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
agasfer [191]
3 years ago
10

Vanya collects vintage albums. Each storage unit holds 16 albums. She gave 3 albums to her cousin as a graduation present. Which

function shows the relationship between y, the total number of albums she has remaining, and x, the number of storage units Vanya owns?
a.y = 16x
B.y = 16x + 3
C.y = 13x
D.y = 16x – 3
Mathematics
1 answer:
damaskus [11]3 years ago
7 0

Answer:

d

Step-by-step explanation:

vintage gave her cousin 3 albums when she had 16

so y=16x-3.

You might be interested in
Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were millio
JulijaS [17]

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

Initial =1\ million

6\ years\ later = 500,000

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

\frac{dA}{dt} = kA

Where k represents the constant of proportionality

\frac{dA}{dt} = kA

Multiply both sides by dt/A

\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}

\frac{dA}{A}  = k\ dt

Integrate both sides

\int\ {\frac{dA}{A}  = \int\ {k\ dt}

ln\ A = kt + lnC

Make A, the subject

A = Ce^{kt}

t = 0\ when\ A =1\ million i.e. At initial

So, we have:

A = Ce^{kt}

1000000 = Ce^{k*0}

1000000 = Ce^{0}

1000000 = C*1

1000000 = C

C =1000000

Substitute C =1000000 in A = Ce^{kt}

A = 1000000e^{kt}

To solve for k;

6\ years\ later = 500,000

i.e.

t = 6\ A = 500000

So:

500000= 1000000e^{k*6}

Divide both sides by 1000000

0.5= e^{k*6}

Take natural logarithm (ln) of both sides

ln(0.5) = ln(e^{k*6})

ln(0.5) = k*6

Solve for k

k = \frac{ln(0.5)}{6}

k = \frac{-0.693}{6}

k = -0.1155

Recall that:

\frac{dA}{dt} = kA

Where

\frac{dA}{dt} = Rate

So, when

A = 600000

The rate is:

\frac{dA}{dt} = -0.1155 * 600000

\frac{dA}{dt} = -69300

<em>Hence, the amount of oil was decreasing at 69300 barrels, yearly</em>

7 0
2 years ago
The equation of a parabola is 116(y+3)2=x+4 . What are the coordinates of the focus? (0, −3) (−8, −3) (−4, −7) (−4, 1)
Temka [501]
Did you get the answer yet
6 0
3 years ago
Read 2 more answers
Please help me thanks.
daser333 [38]

y=(-2x)+5

Step-by-step explanation:

4 0
2 years ago
If the Federal Reserve buys $100,000 in Treasury bonds from a bank at 3% interest, what is the immediate effect on the money sup
sladkih [1.3K]
$3,000 is the answer
8 0
3 years ago
1 /2 (4x - 2) - 2/3(6x + 9) ≤ 4
Montano1993 [528]

Answer:

x ≤ 1/2

Step-by-step explanation:

1/2(4x - 2) - 2/3(6x + 9) ≤ 4

2x-1   -  4x+6   ≤   4

2x-4x-1+6  ≤   4

-2x + 5  ≤  4

      -5      -5

-2x ≤  -1

2x ≤ 1

2x/2 ≤ 1/2

x ≤ 1/2

5 0
3 years ago
Other questions:
  • 483 is what part of 121?
    14·2 answers
  • A square lawn has area 338 ft^2. A sprinkler placed at the center of the lawn sprays water in a circular pattern that just cover
    8·1 answer
  • Which graph represents the solution to the given system? (1 point) <br> Y=-3x+4 and y=2x-1
    15·1 answer
  • Look at the formula for finding the volume of a rectangular prism below.
    8·1 answer
  • If 78 sit-ups is done in 2 minutes how many can be done in 5 minutes
    7·2 answers
  • A package being delivered in the mail weighs 1056 ounces. How much does that package weigh in pounds?
    6·1 answer
  • What is the equation of the line
    8·2 answers
  • Can 1.33 be 1.3? i need help quick please!?
    9·2 answers
  • Solve the following inequality.Show your work. 2m + 6 &gt; 7(m – 2)
    10·1 answer
  • Simple 8th grade maths (check attachments below)<br> trollers will get reported
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!