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Mumz [18]
4 years ago
9

A store has a sale on pet supplies. The price ,P, of each item is marked down 25%. The store also offers a coupon for $5 off whe

n you check out. Write an expression that represents the final price after a customer uses the coupon.
Mathematics
1 answer:
artcher [175]4 years ago
8 0

Answer:

0.7125*P

Step-by-step explanation:

The original price of a product is P.

The products are marked down 25%, so the sale price of the products are

75% of P = 0.75*P

Then, in the check out, the store offers a coupon for 5% off, so the sale price will decrease 5%, that is, will be multiplied by 0.95:

Final price = 0.75*P * 0.95 = 0.7125*P

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sladkih [1.3K]

D is halfway between A and B

so the coordinates of D are (2,2)

E is halfway between A and C so the coordinates of E are (-1,1)

now you need to find the gradient/slope of DE and BC using the formula:

\frac{y2 - y1}{x2 - x1}

<h3><u>G</u><u>r</u><u>a</u><u>d</u><u>i</u><u>e</u><u>n</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>D</u><u>E</u><u>:</u><u> </u></h3>

SUB IN COORDINATES OF D AND E

\frac{1 - 2}{ - 1 - 2}

therefore the gradient of DE is 1/3.

<h3><u>G</u><u>r</u><u>a</u><u>d</u><u>i</u><u>e</u><u>n</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>B</u><u>C</u><u>:</u></h3>

<em>S</em><em>U</em><em>B</em><em> </em><em>I</em><em>N</em><em> </em><em>C</em><em>O</em><em>O</em><em>R</em><em>D</em><em>I</em><em>N</em><em>A</em><em>T</em><em>E</em><em>S</em><em> </em><em>O</em><em>F</em><em> </em><em>B</em><em> </em><em>A</em><em>N</em><em>D</em><em> </em><em>C</em>

<em>\frac{ - 2 - 0}{ - 3 - 3}</em>

therefore the gradient of BC is -2/-6 which simplifies to 1/3.

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6 0
4 years ago
Evaluate the expression below when<br> X = 4 and y = (-3)<br> 4x + 2xy
zepelin [54]

Step-by-step explanation:

4x + 2xy=

4×4 + 2×4×-3

= 16 + (-24)

= - 8

7 0
3 years ago
Out of 230 students, 11% chose gymnastics as their favorite sport. How many students does 11% represent? *
joja [24]

Answer:

25

Step-by-step explanation:

11\% \: of \: 230 \\  \\  =  \frac{11}{100}  \times 230 \\  \\  = 0.11 \times 230 \\  \\  = 25.3 \\   = 25

Hence 11% represents 25 students.

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Help please
9966 [12]

Answer:

No

Step-by-step explanation:

Triangular Inequalities state that in a triangle, the sides must always be less than the sum of the other two.

You would have sides x, 2x, 3x in this case and use the inequality a+b>c.

if...

a=x, b=2x, c=3x

then...

x+2x>3x

3x>3x which is false.

Therefore you cannot make a triangle with sides proportional to 1, 2, and 3.

6 0
3 years ago
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