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pishuonlain [190]
2 years ago
12

The price of a recipe-book was reduced from $24.50 to$17.95. If p represents the percent decrease in price of the book, which pr

oportion can be used to calculate p? please help :)
Mathematics
1 answer:
LuckyWell [14K]2 years ago
4 0

Answer:

The required proportion is \frac{p}{100}=\frac{24.50-17.95}{24.50}.

Step-by-step explanation:

Consider the provided information.

The price of a recipe-book was reduced from $24.50 to$17.95.

The original price is 24.50

Reduced price is 17.95.

Let p represents the percent decrease in price of the book.

\text{Percent decrease}=\frac{\text{Original price-Reduced price}}{\text{Original price}}\times 100

Now substitute the respective values in the above formula.

p=\frac{24.50-17.95}{24.50}\times 100

\frac{p}{100}=\frac{24.50-17.95}{24.50}

Hence, the required proportion is \frac{p}{100}=\frac{24.50-17.95}{24.50}.

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Sections of prefabricated fencing are each 4 1/3 feet long. how long are 6 1/2 sections placed end to end
zalisa [80]

we know that

4\frac{1}{3}= \frac{(4*3+1)}{3} =\frac{13}{3}

6\frac{1}{2}= \frac{(6*2+1)}{2}=\frac{13}{2}

To find how long are 6\frac{1}{2}  sections placed end to end

Multiply the number of sections by the length of one section

so

\frac{13}{2} *\frac{13}{3} =\frac{169}{6}\ ft

\frac{169}{6}\ ft =28\frac{1}{6}\ ft

therefore

<u>the answer is</u>

28\frac{1}{6} \ ft


6 0
2 years ago
Read 2 more answers
The average sea level in 1900 at London bridge was 33 feet. In 1990 it was 33.08 feet. Use linear interpolation or extrapolation
eduard

Answer:

In 1956, the height will be 33.05 ft

Step-by-step explanation:

Let +x+ = number of years after 1900

Calll 1900 +x+=+0+

Then 1990 is +x+=+90+

Let +y+ = height in feet

--------------------------

You are gven the points

( 0, 33 )

( 90, 33.08 )

Use general point-slope formula

+%28+y+-+33+%29+%2F+%28+x+-+0+%29+=+%28+33.08+-+33+%29+%2F+%28+90+-+0+%29+

Multiply both sides by +90x+

+90%2A%28+y+-+33+%29+=+.08x+

+90y+-+2970+=+.08x+

+90y+=+.08x+%2B+2970+

+y+=+.000889x+%2B+33+ ( equation to use )

--------------------------

Check:

does it go through ( 90, 33.08 ) ?

+33.08+=+.000889%2A90+%2B+33+

+33.08+=+.08001+%2B+33+

+33.08+=+33.08001+

close enough

-------------------------------

(a)

+x+=+61%0D%0A%7B%7B%7B+y+=+.000889x+%2B+33+

+y+=+.000889%2A61+%2B+33+

+y+=+.0542+%2B+33+

+y+=+33.0542+

In 1961, the height will be 33.05 ft

8 0
2 years ago
Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in function notation with x
Marta_Voda [28]

Answer:

A. f(x) = 6x + 9

Step-by-step explanation:

The given equation is:

y - 6x - 9 = 0

We have to write this equation in function notation with x as the independent variable. This means that y will be replaced by f(x) and all other terms will be carried to the other side of the equation to get the desired function notation.

y - 6x - 9 = 0

y = 6x + 9

f(x) = 6x + 9

Therefore, option A gives the correct answer.

5 0
2 years ago
Read 2 more answers
Jeff hiked for 2 hours and traveled 5 miles. If he continues at the same pace, which equation will show the relationship between
Lady_Fox [76]

Answer: The relationship between distance and time is d=2.5t and the graph is continuous.

Step-by-step explanation:

Since we have given that

Number of hours he hiked = 2 hours

Distance covered = 5 miles

Speed would be

\dfrac{Distance}{Time}\\\\=\dfrac{5}{2}\\\\=2.5\ mph

Let the distance be 'd'.

Let the time be 't'.

so, the relation between distance and time would be

distance=Speed\times time\\\\d=2.5t

The graph  is continuous because it is not based on counts and the points are  connected with a continuous line without any break.

Hence, the relationship between distance and time is d=2.5t and the graph is continuous.

3 0
2 years ago
Read 2 more answers
27 thousands 3 hundreds 5 ones X 10
Leokris [45]
27 thousand 27,000
3 hundred         300
5 ones                5
27,305 x 10= 273,050 
Please let me know if you have any questions id be happy to explain in more detail
8 0
2 years ago
Read 3 more answers
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