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yulyashka [42]
3 years ago
7

Help on number problem 5

Mathematics
1 answer:
Leona [35]3 years ago
8 0

See below for a plot of the equation.

The y intercept is the y location where x=0 and can be found by solving 6y=180, which is y=30.

Likewise, the x intercept follows from y=0, so 4x=180 => x=45.

The interpretation of the intercepts is: what is the plan if you go for all small tables (ie., y=0) or all big tables (x=0). The answer is: you can rent either 30 small tables or 45 big ones.


All the other points on the line represent some mix of small and big tables (of course, x and y must be integer because you can't rent half tables).

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A new, trendy department store is experiencing exponential growth across America. The chain began in 2004 when it opened 16 stor
QveST [7]
The equation is y=16(1.35)ˣ.

This equation is of the form y=a(1+r)ˣ, where a is the initial amount, r is the rate of growth expressed as a decimal number, y is the total, and x is the amount of time.  For our problem, a is 16; b is 0.35 (35%=35/100=0.35).  This gives us the equation above.
7 0
3 years ago
A luxury chairs manager found that an employee made 3/4 of a chair every 3/8 of an hour
ella [17]

Answer:

Step-by-step explanation:

(3c/4)/(3h/8)

(3c/4)(8/3h)

(24/12)c/h

2 c/h

So employee can make 2 chairs in one hour.

7 0
3 years ago
Quadrilateral RSTU has vertices R(-6, -3), S(3, 3), and T(4, -1). What are the coordinates of vertex U if
Natasha_Volkova [10]

9514 1404 393

Answer:

  c)  (-5, -7)

Step-by-step explanation:

In a parallelogram, the midpoints of the diagonals are the same point. This means ...

  (R+T)/2 = (S+U)/2

  R +T -S = U

  (-6 +4 -3, -3 -1 -3) = U = (-5, -7)

7 0
3 years ago
find two positive even consecutive integers such that a square of the smaller integer is 10 more than the larger integer
nalin [4]

Answer:

the two positive consecutive integers are 4 and 6.

Step-by-step explanation:

Let the smaller integer be s; then s^2 = (s + 2) + 10.

Simplifying, s^2 - s - 2 - 10 = 0, or

s^2 - s - 12 = 0.

Solve this by factoring:  (s - 4)(s + 3) = 0.

Then s = 4 and s = -3.

If the first even integer is 4, the next is 6.  We omit s = -3 because it's not even.

The smaller integer is 4.  Does this satisfy the equation s^2 = (s + 2) + 10?

4^2 = (4 + 2) + 10  True or False?

16 = 6 + 10 = 16.

True.

So the two positive consecutive integers are 4 and 6.

6 0
3 years ago
Translate to equation<br><br> the product of -11 and the square of a number
Alex Ar [27]

Answer:

11

Step-by-step explanation:

is right?

8 0
3 years ago
Read 2 more answers
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