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Yuliya22 [10]
3 years ago
7

A bicycle that normally sells for $180 is on sale for 40% off. What is the

Mathematics
1 answer:
Kitty [74]3 years ago
5 0

Answer:

$108 i think

Step-by-step explanation:

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How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (R
puteri [66]

Answer:

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters

Step-by-step explanation:

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (Round to two decimal places if necessary.)

Let x be the number of liters of the 45% acid solution

The number of liters of the 70% acid solution is y

x + y = 50

x = 50 - y

Also

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution?

We have:

45% × x + 70% × y = 65% × 50

0.45x + 0.70y = 0.65 × 50

0.45x + 0.70y = 32.5

We substitute x = 50 - y in the equation

0.45(50 - y) + 0.70y = 32.5

= 22.5 - 0.45y + 0.70y = 32.5

= - 0.45y + 0.70y = 32.5 - 22.5

= 0.25y = 10

Divide both sides by 0.25

= y = 10/0.25

y = 40 liters

x = 50 - y

x = 50 - 40

x = 10 liters

Hence,

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters

3 0
3 years ago
the perimeter of a rectangular room is 54 m. the length is 6 m longer than the width. what are the dimensions of the room?
Akimi4 [234]

Answer:

Step-by-step explanation:

Width =w

Length = w + 6

Perimeter of rectangular room = 54 m

2*(length +width ) = 54

2*(w +6 + w) = 54

2*(<u>w +w</u> + 6) = 54      {Combine like terms}

2*(2w + 6) = 54

Use distributive property

2*2w + 2*6 = 54

  4w + 12    = 54

Subtract 12 form both side

4w = 54 - 12

4w = 42

Divide both sides by 4

w = 42/4

w = 10.5 m

Length = 10.5 + 6 = 16.5 m

Length = 16.5 m

Width = 10.5 m

3 0
3 years ago
A single card is drawn from a standard 52 card deck. Work out the probability of choosing "an ace". Give your answer in its simp
zaharov [31]

Answer:

total number of ace=4

probability of getting an ace =4/52

=1/13

hope it helps you

3 0
3 years ago
The difference between n and the number 8 is 42. what represents this statement
tangare [24]

n would be replaced by 50 so it would read 50-8=42!

4 0
4 years ago
Read 2 more answers
A triangular flowerbed is being planted inside a circular area of grass. What is the area of the entire circular region (includi
ZanzabumX [31]
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 SEE ATTACHED IMAGE.

 For this case what you should know is that the area of a circle is given by:
 A = pi * r ^ 2
 Where,
 r: radio
 On the other hand we have:
 r = d / 2
 Where,
 d: diameter.
 Substituting:
 A = pi * (d / 2) ^ 2
 We note that the diameter of the circle is 58 ft
 Substituting:
 A = 3.14 * (58/2) ^ 2
 A = 2640.74 feet ^ 2

 Answer:
 The area of the entire circular region (including the flowerbed) is:
 2,640.74 ft 2

5 0
3 years ago
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