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gladu [14]
3 years ago
13

Selina bought a shirt on sale that was 20% less than the original price. The original price was 5 more than the sale price. What

was the original price? Explain or show work.
Mathematics
1 answer:
earnstyle [38]3 years ago
8 0
Let us assume the original price of the shirt = x
Let us assume the sale price of the shirt = y
20x/100 = y
x/5 = y
x = 5y
Now the second equation that we get is
x = y + 5
5y - y = 5
4y = 5
y = 5/4
Now putting the value of y in the first equation we get
x = 5y
  = 5 (5/4)
  = 25/4
  = 6 1/4
Then we can say that the original price of the shirt was 6 1/4. The main trick of this problem lies in the words that have been used in the question. It is important to understand the question first before starting to solve the problem.
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F(x) = x + 2 when x = 10
murzikaleks [220]

Answer:

f(10) = 12

Step-by-step explanation:

f(x) = x + 2

Substitute x for 10.

f(10) = 10 + 2

f(10) = 12

8 0
3 years ago
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Alvin is 11 years younger than Elga. The sum of their ages is 43. What is elgas age
Neporo4naja [7]

Answer:

16

Step-by-step explanation:

Lets assume x is Elgas' age

And y is Alvins age

we know that alvin is 11 years younger than Elga which means,

x=y+11

and the sum of their age is 43

x+y=43

solve it and you get 16

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3 years ago
Line AC is tangent to circle O at point C<br> What is the measure of OAC?
Nuetrik [128]
AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees

The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180

Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
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angle OAC = 45 degrees

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7 0
3 years ago
The exterior angles of a triangle are 3y0, 4y0 and 5y0.
katovenus [111]

Answer:

i. 30 degrees

ii. 30 degrees

Step-by-step explanation:

The exterior angles of a triangle always add up to 360 degrees. Using this, you can set up the following equation.

3y+4y+5y=360

y=30 degrees

The smallest interior angle corresponds to the largest exterior angle. 5y=5*30= 150. Subtracting this from 180 you get 30 degrees, or the smallest interior angle. Hope this helps!

3 0
3 years ago
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The diameter of the circle above is 22 cm. What is the circumference of the circle? (Use = 3.14.)
postnew [5]

Answer:

69.08cm

Step-by-step explanation:

The formula for the circumference is

pi times diameter=circumference

Since we are using 3.14 and we know the diameter we can plug that in

3.14 times 22= circumference

69.08=circumference

8 0
3 years ago
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