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Westkost [7]
2 years ago
7

A scale drawing has a scale of 0.25 in. : 12 ft. Find the length on the drawing for an actual length of 15 ft.

Mathematics
1 answer:
lesya [120]2 years ago
7 0

If 0.25 in on a drawing is 12 ft in real life, than 1 in on the drawing is 48 ft in real life.

Just divide 15 by 48

15/48=0.3125

So the length of 15 in real life to a drawing is 0.3125 inches.

You might be interested in
204.6 is what percent of 125? Round to the nearest tenth.
Zina [86]

Answer:

255.8

Explanation:

To get the solution, you are looking for, you need to point out what we know.

1. We assume, that the number 125 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 125 is 100%, so we can write it down as 125=100%.

4. We know, that x is 204.6% of the output value, so we can write it down as x=204.6%.

5. Now we have two simple equations:

1) 125=100%

2) x=204.6%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

125/x=100%/204.6%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 204.6% of 125

125/x=100/204.6

(125/x)*x=(100/204.6)*x       - we multiply both sides of the equation by x

125=0.48875855327468*x       - we divide both sides of the equation by (0.48875855327468) to get x

125/0.48875855327468=x

255.75=x

x=255.75

now you  have:

204.6% of 125=255.75

If you round 255.75  to the nearest tenth, it would be 255.8 because rounding to the nearest tenth the number will be  7 because 7 is in the tenth place in 255.<u>7</u>5, so you would round up because  anything about the number 5 you will round up and anything below 5 you round down and  when you round up you will get 255.8 which is your answer.

Hope this helps :)

5 0
2 years ago
Find the number of elements in A 1 ∪ A 2 ∪ A 3 if there are 200 elements in A 1 , 1000 in A 2 , and 5, 000 in A 3 if (a) A 1 ⊆ A
lina2011 [118]

Answer:

a. 4600

b. 6200

c. 6193

Step-by-step explanation:

Let n(A) the number of elements in A.

Remember, the number of elements in A_1 \cup A_2 \cup A_3 satisfies

n(A_1 \cup A_2 \cup A_3)=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)

Then,

a) If A_1\subseteq A_2, n(A_1 \cap A_2)=n(A_1)=200, and if A_2\subseteq A_3, n(A_2\cap A_3)=n(A_2)=1000

Since A_1\subseteq A_2\; and \; A_2\subseteq A_3, \; then \; A_1\cap A_2 \cap A_3= A_1

So

n(A_1 \cup A_2 \cup A_3)=\\=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\=200+1000+5000-200-200-1000-200=4600

b) Since the sets are pairwise disjoint

n(A_1 \cup A_2 \cup A_3)=\\n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\200+1000+5000-0-0-0-0=6200

c) Since there are two elements in common to each pair of sets and one element in all three sets, then

n(A_1 \cup A_2 \cup A_3)=\\=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\=200+1000+5000-2-2-2-1=6193

8 0
2 years ago
You invest $1,100 in an account that has an annual interest rate of 2.1%, compounded continuously. How much money will be in the
uranmaximum [27]
$1100 x 1.021^7 = $1272 (whole number.)

the $1100 is the original amount of money put in the bank with the 1.021 being the interest rate. this was put to the power of 7 to represent the years the money will be in the account.
6 0
3 years ago
How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winner
Len [333]

Step-by-step explanation:

Given:

x = 26214.47

s = 5969.25

n = 15

t = 2.046

The confidence interval is:

CI = x ± t (s / √n)

CI = 26214.47 ± 2.046 (5969.25 / √15)

CI = (23061.06, 29367.88)

7 0
3 years ago
Find the missing value <br> 3/8 +1/?=5/8<br> 3/4-1/?=1/4<br> ?/6 + 1/8= 23/24
steposvetlana [31]
1st one : is 1/4 ( subtract 3/8 from both sides and simplify 5/8 - 3/8 to 1/4. )

2nd one : is 1/2 ( subtract 3/4 from both sides, simplify 1/4 - 3/4 to 1/-2, and then multiply both sides by -1 )

3rd one : is 5/6 ( subtract 1/8 from both sides and simplify 23/24 - 1/8 to 5/6).
6 0
3 years ago
Read 2 more answers
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