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
astraxan [27]
3 years ago
12

For every 5 books her students read, Mrs. Fenway gives them a free homework pass for 4 days. Juan has accumulated homework passe

s for 12 days so far. What proportion would you write to find how many books Juan has read?
5/12 = 4/x

4/12 = x/5

4/5 = 12/x

4/5 = x/12
Mathematics
1 answer:
EastWind [94]3 years ago
8 0
The correct answer is (C) 4/5=12/x
You might be interested in
Jamal wrote the inequality x/16 <6 . Which situation best represented by this inequality Helpppppp
Wittaler [7]

Given problem;

   Inequality equation;

               \frac{x}{16}   <   6

Before we solve, let us first translate this problem.

It simply states that for what value(s) of x will the expression be less than 6.

To find this value, we can simply carry out the normal mathematical simplification.

Simply multiply both sides by 16 to reduce the fraction;

      16  x (\frac{x}{16})   <  6 x 16

         

 On the left hand side, 16 will cancel out;

                   x <  96

Any value for which x is less than 96 will make the solution of this problem less than 6.

For example, 95;

                       \frac{95}{16}  = 5.93

This value is less than 6

4 0
3 years ago
Write the equation of the conic section below.
tangare [24]

Answer:

(x-3)^2=8(y+1)

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry:

(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0

\textsf{Vertex}=(h, k)

\textsf{Focus}=(h,k+p)

\textsf{Directrix}:y=(k-p)

\textsf{Axis of symmetry}:h=k

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

From inspection of the graph:

  • Vertex = (3, -1)
  • Directrix = y = -3

Therefore:

  • h = 3
  • k = -1
  • k - p = -3

Use the Directrix equation to find p

⇒ y = (k - p)

⇒ -3 = -1 - p

⇒ p = 2

Therefore the equation of the conic section is:

\implies (x-3)^2=4\cdot 2(y-(-1))

\implies (x-3)^2=8(y+1)

Rearranging in standard form ax^2+bx+c:

\implies (x-3)^2=8y+8

\implies x^2-6x+9-8=8y

\implies x^2-6x+1=8y

\implies y=\dfrac{1}{8}x^2-\dfrac{3}{4}x+\dfrac{1}{8}

7 0
3 years ago
If the legs of a right triangle are 6 cm and 5 cm, find the area of the triangle.
sertanlavr [38]

Answer:

A = 15 cm^2

Step-by-step explanation:

A = 1/2 bh  where b is the base and h is the height

When the triangle is a right triangle the legs are the base and the height

A = 1/2 (6) * (5)

A = 15 cm^2

4 0
3 years ago
Read 2 more answers
Noah is planning a kayaking trip. kayak rental A charges a base fee of $15 plus $4.50 per hour. Kayak rental B charges a base fe
MaRussiya [10]

Answer:

the two are different they will not have the same amount

Step-by-step explanation:

Rental A is $19.50 and rental B is $17.50

7 0
3 years ago
What percent of 48.4 is 20.57<br> 88.83 is 423% of what
aliina [53]
The first 1 is 42.5%

2nd 1 is 21
4 0
4 years ago
Other questions:
  • What is the distance between -7 and 3
    11·2 answers
  • Evaluate (8/9) to the zero power. I need to show all work involved at arriving at the answer.
    10·2 answers
  • What is 47*3 pruduct?
    5·2 answers
  • Someone help it’s due in some time
    9·2 answers
  • What is this answer?
    15·2 answers
  • Hi, I was hoping someone could help with this? I was wondering if there’s a way for dividing 35 and 8 evenly? Then 51 and 6 even
    8·2 answers
  • Solve for y is x=4:<br> y=2x+3
    15·1 answer
  • What is the final amount if 784 is decreased by 1% followed by a 4% increase?
    9·2 answers
  • Is it true or false?
    14·2 answers
  • Is 3,645,211 divisible by 10?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!