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makkiz [27]
2 years ago
10

Stephanie buys a book in a sale for $19.20 . This sale price is after a reduction of 20%. Calculate the original price of the bo

ok
Mathematics
1 answer:
faust18 [17]2 years ago
6 0

Answer:

$96 is the original price of  book

Step-by-step explanation:

keep the unknown value as X

(19.2/X)*100 = 20%

19.2/X = 0.2

19.2/0.2 = X

X = 96

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This race was first held in 1953 on August 16th. Every decade the race finishes with a festival. How many years is this?
hjlf

Answer: This year is 6 th year.

Step-by-step explanation:

Since we have given that

First this race was held in = 16 August 1953

Every decade the race finishes with a festival.

So, decades means "a period of 10 years":

So, the following are the decades till date

1953

1963

1973

1983

1993

2013

2019.......

1953-1963 = 10 years

1963-1973 = 10 years

1973-1983 = 10 years

1983-1993 = 10 years

1993-2013 = 10 years

This is the 6 th year of the decade, in which the race will finishes with a festival.

Hence, this year is 6 th year.

6 0
1 year ago
Joe's bathroom floor is 5 feet wide and 8 feet long.  He will cover the floor with 3" square tiles.  How many tiles does Joe nee
krek1111 [17]
<span>Multiply the length and width together to get the total required area - 5*8 = 40. Now each tile covers 3 inches and you need to cover 40 feet, so convert feet into inches by multiplying 40 by 12 (480). Now divide 480 (desired area) by 3 (how much each tile covers) to get 160 - the amount of tiles you'll need.

Sorry, didn't realize I didn't post it as an answer. But no problem!</span>
4 0
2 years ago
Read 2 more answers
The linearized regression equation for an exponential data set is log ŷ = 0.14x + 0.4, where x is the number of years and y is t
djyliett [7]

Option C: 316 is the predicted population when x=15

Explanation:

The regression equation for an exponential data is \log y=0.14x+0.4

Where x is the number of years and

y is the population

We need to determine the predicted population when x=15

The population x can be determined by substituting x=15 in the equation \log y=0.14x+0.4

Thus, we have,

\log y=0.14(15)+0.4

\log y=2.1+0.4

\log y=2.5

Using the logarithmic definition \log _{a}(b)=c then b=a^{c}

\log _{10}(y)=2.5 \Rightarrow y=10^{2.5}

y=316.22776 \ldots

Rounding off to the nearest whole number, we get,

y=316

Thus, the predicted population when x=15 is 316

Hence, Option C is the correct answer.

7 0
2 years ago
chris can run at a constant speed of 12 km/h. How ling will it take him to run from his home to the park, a distance of 0.8 km?
densk [106]

Recall that distance = speed times time. Thus, time = distance / speed.

Here:

time = distance / speed = 0.8 km / 12 km/hr = 1/15 hr.

Note that 1/15 hr = 1/15 (60 min) = 4 minutes

8 0
2 years ago
Read 2 more answers
A boat is approaching a cliff known to be 40m tall. The angle of elevation is 30°. How far away is the boat from the cliff?
allochka39001 [22]

Answer:

x = 40 * \sqrt{3}  meters

Step-by-step explanation:

You have a 30-60-90 right triangle in this situation.

the height of this triangle is 40 meters

the opposite angle is 30 degrees.

use the tangent.

let x = distance between boat and cliff

tan 30 = 40/x

1/root (3) = 40/x

x = 40 * \sqrt{3}  meters

5 0
2 years ago
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