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stich3 [128]
4 years ago
8

The regular price of an item is $84. The item is on sale witha discount of $12. What is the discount rate.

Mathematics
1 answer:
sammy [17]4 years ago
5 0

Answer:

Discount = 14.3% (rounded up to one decimal place)

Step-by-step explanation:

The regular price of an item is $84

Discount = $12

Percentage discount = (Discount ÷ regular price) × 100

Percentage discount = \frac{12}{84} × 100 = 14.3% (rounded up to one decimal place)

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What is the slope of the line that passes through (3,-7) and (-1,1)
Anna [14]

Answer:

-2

Step-by-step explanation:

slope formula is (y2-y1)/(x2-x1)

1 - -7 / -1 - 3

8 / -4

-2

5 0
3 years ago
Find the slope of the line on the graph.write your answer as a fraction or a whole number, not a mixed number
Leona [35]

Answer:

slope = -\frac{1}{2}     if it were in an

Step-by-step explanation:

the graph is a negative and will therefore have a negative slope. to find the slope, pick a point on the graph and find the \frac{rise}{run}.

for instance, start with the point (0,1). Then go down 1 and left 2 to get to the next point on the graph (2,0). 1 is the "rise" and 2 is the "run" hence -1/2 being the slope.

you could also use the slope formula: \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

point 1: (0,1)    (x₁ ,y₁)

point 2: (2,0)    (x₂ , y₂)

\frac{0-1}{2-0} =-\frac{1}{2}

3 0
2 years ago
A model of a house is shown.
deff fn [24]

<u>Given</u>:

Given that the model of the house.

The house is made up of two composite figures triangle and rectangle.

The two sides of the triangle are 6x - 4 units each.

The length of the rectangle is 14x + 13.

The width of the rectangle is 12x + 3.

We need to determine the perimeter of the house.

<u>Perimeter:</u>

The perimeter of the house can be determined by adding all the sides of the house.

Thus, we have;

Perimeter=2(6x -4 )+2(12x+3)+(14x+13)

Simplifying the terms, we get;

Perimeter=12x -8+24x+6+14x+13

Adding the like terms, we have;

Perimeter=50x+11

Thus, the perimeter of the house is 50x + 11 units.

Hence, Option d is the correct answer.

5 0
3 years ago
A farmer wants to build a rectangular pen and then divide it with two interior fences. The total area inside of the pen will be
irina [24]

Answer:

Dimensions of the pen:

x = 11 ft

y = 6 ft

Step-by-step explanation:

Let call "x"  and "y"  dimensions of the rectangular pen  and  x > y, so the interior fences will be equal to y.

The exterior length is 2*x + 2*y and its cost is (2*x + 2*y ) *20.40

The interior fences are 2*y  and its cost is 2*y* 17

Total cost C  = (2*x + 2*y ) *20.40 +  2*y* 17       (1)

Now area inside the pen is 66 ft²  and it is equal to:

A = x*y    ⇒  66 = x*y   ⇒  y = 66/x

Plugging that value in equation (1) will give C as a function of x

C(x) = [ 2*x + 2* (66/x) ]* 20.40  +  2* (66/x) * 17

C(x) = ( 2*x + 132/x ) 20.40  +  2244/x

C(x)  = 40,80*x + 2692.8/x  + 2244/x

C(x) = 40.80*x  + 4936,8/x

Taking derivatives on both sides of the equation we get

C´(x)  = 40.80 - 4936,8/x²

C´(x)  = 0    ⇒   40.80 - 4936,8/x² = 0   ⇒  40.80 *x² = 4936,8

x² =  4936,8 / 40.80    ⇒  x²  = 121  ⇒  x √121

x = 11 ft

And  y = 66/x   ⇒  y  = 66/11    ⇒  y = 6 ft

3 0
4 years ago
Hello I need help with this question
sergejj [24]

2)   x + 1/4 = 7/8

         -1/4     -1/4

     x = 5/7

3)   3/4x = 5/8

     *4/3     *4/3

      x = 5/6

Hope this helps! ;)

7 0
3 years ago
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