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damaskus [11]
3 years ago
9

Find the original price of a pair of shoes if the sale price is $78 after a 25 discount

Mathematics
1 answer:
pantera1 [17]3 years ago
4 0

$78 without tax multiplied by 1.25 or 25% is $97.5 sales tax makes them $107.25

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A recipe for 1 lb of trail mix calls for 2.5 oz of chocolate pieces. How many ounces of chocolate pieces are needed to make 5 lb
Murljashka [212]
5 lb of trail mix* (2.5 oz of chocolate pieces/ 1 lb of trail mix)= 12.5 oz of chocolate pieces.
(Note that the unit cancels out so you get the answer)

The final answer is 12.5 oz of chocolate pieces~
5 0
3 years ago
In triangle ACE, P is the centroid, PF = 6 , and AD = 15 15. Find the measures of PC and AP. Enter your answers as numbers.
xxTIMURxx [149]

Answer:

PC = 12 units

AP = 10 units

Step-by-step explanation:

  • The centroid of a triangle is the intersection of the three medians of the triangle
  • Each median connecting a vertex with the midpoint of the opposite side
  • The centroid divides each median into two parts, which are always in the ratio 2: 1 from the vertex

In ΔACE

∵ P is the centroid of it

∴ P divides CF the ratio 2: 1 from C

∴ PC = 2 PF

∵ PF = 6 units

∴ PC = 2(6)

∴ PC = 12 units

∵ P divides AD at the ratio 2: 1 from A

→ That means AD = 2 + 1 = 3 parts, and AP = \frac{2}{3} AD

∴ AP = \frac{2}{3} AD

∵ AD = 15 units

∴ AP = AP = \frac{2}{3} (15)

∴ AP = 10 units

5 0
2 years ago
What is the explicit formula for the arithmetic sequence –7.5, –9, –10.5, –12...
natita [175]

Answer:

= - 1.5n - 6

Step-by-step explanation:

Given that the sequence is arithmetic with n th term ( explicit formula

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 7.5 and d = - 9 - (- 7.5) = - 9 + 7.5 = - 1.5

= - 7.5 - 1.5(n - 1) = - 7.5 - 1.5n + 1.5 = - 1.5n - 6

Step-by-step explanation:

3 0
3 years ago
X^2+ 3 has a value of 28. What term in the sequence has a value of 28?
VikaD [51]

Answer:

5th term

Step-by-step explanation:

x^2 +3 = 28

Subtract 3 from each side

x^2+3-3 =28-3

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = 5

(x could be -5, but there are not usually negative terms in a sequence)

5 0
3 years ago
Read 2 more answers
5x6 = (_X 6) + (2x_)
kati45 [8]

Answer:

<u>(3 </u>x 6) + (2 x<u> 6)</u>

Step-by-step explanation:

6 0
2 years ago
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