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Vladimir79 [104]
3 years ago
7

Find the length of AB. Someone please explain.

Mathematics
1 answer:
expeople1 [14]3 years ago
6 0
Find the answer to 2x and 5. Solve for X if possible.
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Rob is saving up to buy a new MP3 player for every $15 he earns babysitting he saves $6. on Saturday rob earned $90 babysitting
AlekseyPX
To get $90 dollars you multiply $15 • 6. So you would multiply $6 • $6

Answer: $36
8 0
3 years ago
Read 2 more answers
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
A=1/2f(r+z), solve for r
marin [14]

Answer:\frac{2A}{f} -2=f

Step-by-step explanation:

A=1/2(r+2)

2A=f(r+2)

2A/f=r+2

2A/f-2=r

7 0
2 years ago
One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second
algol13

Answer:

Therefore the third container contains   \frac{735}{17}\% = 43.23 %  acid.

Step-by-step explanation:

Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.

Let the volume of first container be x cubic unit.

Since the volume of second container is 55% larger than the first.

Then the volume of the second container is

= (V\times \frac{100+55}{100})   cubic unit.

=\frac{155}{100}V  cubic unit.

The amount of acid in first container is

=V\times \frac{25}{100}  cubic unit.

=\frac{25}{100}V  cubic unit.

The amount of acid in second container is

=(\frac{155}{100}V \times \frac{55}{100}) cubic unit.

=\frac{8525}{10000}V cubic unit.

Total amount of acid =(\frac{25}{100}V+\frac{8525}{10000}V) cubic unit.

                                   =(\frac{2500+8525}{10000}V) cubic unit.

                                   =(\frac{11025}{10000}V)cubic unit.

Total volume of mixture =(V+\frac{155}{100}V) cubic unit.

                                       =\frac{100+155}{100}V cubic unit.

                                       =\frac{255}{100}V  cubic unit.

The amount of acid in the mixture is

=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%

=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%

=\frac{735}{17}\%

Therefore the third container contains  \frac{735}{17}\%  acid.

5 0
3 years ago
A restaurant buys mustard in 3/4 pound jars. If a 27 pound carton was bought, how many jars would be in the carton?
Nostrana [21]

Answer:

36

Step-by-step explanation:

Divide the carton weight by the weight of 1 jar

27 ÷ \frac{3}{4}

= 27 × \frac{4}{3}

= \frac{27(4)}{3}

= \frac{108}{3}

= 36

There are 36 jars in a carton

7 0
3 years ago
Read 2 more answers
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