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Alexxandr [17]
3 years ago
5

Find the area of the figure. (Sides meet at right angles.)

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0

Answer:

<h2>80 cm²</h2><h2 />

Step-by-step explanation:

to get the area of the given figure,

we need to split it in to two (see attached)

then area of a rectangle = length x width

A1 = 15 cm x 4 cm = 60 cm²

A2 = 5 cm x 4 cm = 20 cm²

Area = A1 + A2

        = 60 + 20

        = 80 cm²

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9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of
Kamila [148]

Answer:

<em>The cost price of the article was Nu 1,000</em>

<em>The original selling price was Nu 1,120</em>

<em>The second selling price was Nu 1,200</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = Original selling price of the article

y = Cost of the article

The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:

0.12y = Original profit

Setting up the equation, we have:

x-y=0.12y

The second condition states the selling price is 80 Nu more than before, that is:

x+80= Second selling price of the article

y = Cost of the article (it doesn't change)

The profit of this condition is 20%, thus:

0.2y = Second profit

This produces a second equation:

x+80-y=0.2y

Let's put both equations together to form a system of equations:

x-y=0.12y

x+80-y=0.2y

Operating on both equations:

x=1.12y

x=1.2y-80

Equating both equations, we have an equation with only y's:

1.12y=1.2y-80

Subtracting 1.2y on each side:

1.12y-1.2y=-80

Operating:

-0.08y=-80

Solving:

\displaystyle y=\frac{-80}{-0.08}=1,000

a)

The cost price of the article was Nu 1,000

b) The selling price of the article will be calculated in both cases:

Original selling price: x=1.12y= 1.12*1000=1,120

The original selling price was Nu 1,120

The second selling price was x+80=1,200

The second selling price was Nu 1,200

8 0
3 years ago
You roll a 6-sided die.<br> What is P(even or factor of 45)?<br> Write your answer as a percentage.
jonny [76]

Answer:

30% because the chance of the whole dice is 6

4 0
2 years ago
Read 2 more answers
Use distributive property to write an expression that is equivalent to each expression. -8(-x-3/4y+7/2
Lesechka [4]

Answer:

  8x +6y -28

Step-by-step explanation:

The outside factor applies to each inside term, so the equivalent expression is ...

  -8(-x -3/4y +7/2) = 8x +6y -28

Applying the distributive property once again, we can also write the equivalent expression ...

  = 2(4x +3y -14)

__

There are an infinite number of other equivalent expressions. The problem statement is non-specific as to the acceptable form.

4 0
3 years ago
Please Help me I really need it :)
lapo4ka [179]

Answer:

C

Step-by-step explanation:

For the given intervals

( - ∞, - 5) ← use any value < - 5 but not - 5, the parenthesis ) indicates that x is less than - 5 but not equal to - 5

(- 5, - 1) ← - 4, - 3, - 2 can be used but not - 5 or - 1

(- 1, 4) ← 0, 1, 2, 3 can be used but not - 1 or 4

(4, ∞ ) ← use any value > 4 but not 4

Hence

3 can be used in (- 1, 4)

- 6 can be used in (- ∞, - 5)

zero can be used in (- 1, 4)

- 5 cannot be used in any of the given intervals

5 0
3 years ago
Shelly bought 5 pounds of bananas for $1.10. How much were the bananas per pound?
Marta_Voda [28]
The answer is 22 cents
3 0
3 years ago
Read 2 more answers
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