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yawa3891 [41]
3 years ago
14

Tiffany sketched a picture of a car she used the scale 2 inches : 12 feet the car in her sketch is 8 inches long what is the len

gth in feet of the actual car
Mathematics
1 answer:
mariarad [96]3 years ago
7 0

Answer:

The actual length of car is <u>48 feet</u>.

Step-by-step explanation:

Given:

Tiffany sketched a picture of a car she used the scale 2 inches : 12 feet.

In her sketch the car is 8 inches long.

Now, to find the length in feet of the actual car.

Let the actual length of car in feet be x\ feet.

And the length of car in her sketch is 8 inches.

<em>So, the ratio of the scale used by Tiffany as given is 2 inches : 12 feet.</em>

Now, to get the actual length of car by using cross multiplication method:

\frac{2\ inches}{12\ feet} =\frac{8\ inches}{x\ feet}

⇒ \frac{2}{12} =\frac{8}{x}

<em>By cross multiplying we get:</em>

⇒ 2x=96

<em>Dividing both sides by 2 we get:</em>

⇒ 48=x

⇒ x=48\ feet.

Therefore, the actual length of car is 48 feet.

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Answer:

approx. 44 km

Step-by-step explanation:

We are given that :

5 miles ------> 8 km

we divide both sides by 5 to get the unit rate:

1 miles ------>  8/5 km

Therefore:

27.5 miles -----> 27.5 miles x (8/5) = 44 km

5 0
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What is 7a^{2} - a^{2} + 16
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Answer:can u pls help answer my question 4d+15 is greater than or equal to -1

Step-by-step explanation:

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The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. Explain how to find the
bogdanovich [222]

Answer:

Step-by-step explanation:

The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. To find the number of yards the car can travel on gallon of gas, we would convert 24.5 miles.

1 mile = 1760 yards

24.5 miles = 24.5 × 1760

= 43120 yards

Therefore, the car drives 43120 yards on 1 gallon of gas.

7 0
3 years ago
Consumer Math The sales tax in the town where Amanda lives is 7%. Amanda paid $35 in sales tax on a new stereo. What was the pri
Natasha2012 [34]

Answer

Find out the what was the price of the stereo .

To prove

Let us assume that the price of the stereo be x .

As given

Consumer Math The sales tax in the town where Amanda lives is 7%.

7% is written in the decimal form

= \frac{7}{100}

= 0.07

As given

Amanda paid $35 in sales tax on a new stereo .

Than the equation becomes

x × 0.07 = 35

x = \frac{35}{0.07}

solving the above

x = $ 500

Therefore the price of the stereo is $ 500 .

Hence proved


5 0
3 years ago
Suppose the waiting times in an emergency room are normally distributed with a mean (mean) of 40 and a standard deviation (sigma
kipiarov [429]

Answer:

0.68269

Step-by-step explanation:

When we are to find the z score for population where a random sample is picked, the z.score formula we use is

z = (x-μ)/Standard error, where

x is the raw score,

μ is the population mean

Standard error = σ/√n

σ is the population standard deviation

n = random number of samples

For : x = 38 minutes, μ = 40, σ = 10, n = 5

z = 38 - 40/10 /√25

= -2/10/5

= -2/2

= -1

Determining the probability value using z table

P(x = 38) = P(z = -1)

= 0.15866

For : x = 42 minutes, μ = 40, σ = 10, n = 25

z = 42 - 40/10 /√25

= 2/10/5

= 2/2

= 1

Determining the probability value using z table

P(x = 42) = P(z = 1)

= 0.84134

The probability that their average waiting time will be between 38 and 42 minutes is calculated as

P(-Z<x<Z)

= P(-1 < x < 1)

= P(z = 1) - P(z = -1)

= 0.84134 - 0.15866

= 0.68269

Therefore, the probability that their average waiting time will be between 38 and 42 minutes is 0.68269

3 0
4 years ago
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