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gogolik [260]
2 years ago
6

Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and

Mathematics
1 answer:
Dvinal [7]2 years ago
6 0

Answer:

1.25x + 1.5y=25

Step-by-step explanation:

let the number of lip balms that can be bought be x and the notebooks be y then their total cost is 1.25x + 1.5y. The total $25 there for the equation becomes 1.25x + 1.5y=25.

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The perimeter of a square is represented by the expression 32x - 12.8. Draw a square to represent this situation and label its s
Hoochie [10]

Answer:

Step-by-step explanation:

Given that: The perimeter of a square is: 32x - 12.8

As we all know that, the formula to find the perimeter of a square is:

Sum of the 4 side = 4* length of the side  

=> the length of 1 side: The perimeter of a square  / 4

In this situation, we have length of 1 side side is:

(32x - 12.8) / 4

= 32/4x - 12.8/4

= 8x - 3.2

The 1st equivalent expressions for the perimeter: 4 *(8x - 3.2)

The 2nd equivalent expressions for the perimeter: (8x - 3.2) + (8x - 3.2)  + (8x - 3.2)  + (8x - 3.2)

The 3rd equivalent expressions for the perimeter: 2*(8x - 3.2) + 2*(8x - 3.2)

3 0
2 years ago
Paul makes a base monthly salary of $1500.As a vendor,he must sell %19000 worth of items per month.He also makes a 6% commission
Orlov [11]

Answer:

$3000

Step-by-step explanation:

3 0
2 years ago
Find the quantity q that maximizes profit if the total revenue, R(q), and total cost, C(q) are given in dollars by R(q)=3q−0.002
marysya [2.9K]

Answer:

The value of q that maximize the profit is q=200 units

Step-by-step explanation:

we know that

The profit is equal to the revenue minus the cost

we have

R(q)=3q-0.002q^{2} ---> the revenue

C(q)=200+2.2q ---> the cost

The profit  P(q) is equal to

P(q)=R(q)-C(q)

substitute the given values

P(q)=(3q-0.002q^{2})-(200+2.2q)

P(q)=3q-0.002q^{2}-200-2.2q

P(q)=-0.002q^{2}+0.8q-200

This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the value of q that maximize the profit

The y-coordinate of the vertex represent the maximum profit

using a graphing tool

Graph the quadratic equation

The vertex is the point (200,-120)

see the attached figure

therefore

The value of q that maximize the profit is q=200 units

6 0
2 years ago
On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, ne
Oksanka [162]

Answer:

The perimeter is (8\sqrt{2}+2\sqrt{10})\ units

Step-by-step explanation:

we know that

A parallelogram is a quadrilateral where both pairs of opposite sides are parallel and equal

so

In this problem

PS=QR ----> equation A

SR=PQ ----> equation B

The perimeter of parallelogram PQRS is

P=PQ+QR+SR+PS ----> equation C

substitute equation A and equation B in equation C

P=2SR+2QR

we have

QR=\sqrt{10}\ units

SR=4\sqrt{2}\ units

substitute in the formula of perimeter

P=2(4\sqrt{2})+2(\sqrt{10})

P=(8\sqrt{2}+2\sqrt{10})\ units

7 0
2 years ago
Read 2 more answers
If f Superscript negative 1 Baseline (x) = negative one-fifth x, what is f Superscript negative 1 Baseline (x) = one-fifth x?
Artyom0805 [142]

Answer:

  a different inverse function

Step-by-step explanation:

If f^{-1}(x)=-\frac{1}{5}x then f^{-1}(x)=\frac{1}{5}x is a different inverse function.

__

The second (inverse) function is the first reflected over the y-axis.

5 0
2 years ago
Read 2 more answers
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