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quester [9]
2 years ago
5

A town's chamber of commerce printed a map of the buisiness district. The map is 12 inches square, and 1 inch on the map represe

nts an actual distance of 300 feet. A larger version of the same map of the business district is printed with the side length of %50 longer than the side length of the previous map. On the larger map, what is the actual distance ,in feet, represented by 1 inch?
Mathematics
1 answer:
Rudik [331]2 years ago
7 0

Answer:

450 feet

Step-by-step explanation:

Since the map was increased by a percentage and that percentage is given we can simply multiply the added percentage to the value of feet per inch in order to get the new amount of feet that every inch represents. Like so ...

300ft * 1.50 = 450ft

Therefore, by multiplying 300 * 1.50 (which is 50% more of the original size) we get 450ft. This means that every inch in the larger map represents a total distance of 450 feet in actual distance.

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Ramon wants to plant cucumbers and tomatoes in his garden. He has room for
yarga [219]

Answer:

Number of Cucumbers = 12

Number of Tomatoes = 4

Step-by-step explanation:

Let number of cucumber be c and number of tomatoes be t

Since he has room for 16 plants, we can write:

c + t = 16

He wants to plant 3 times as many cucumbers as tomatoes. We can write:

c = 3t

We can substitute this in 1st equation and solve for t:

c + t = 16

3t + t = 16

4t = 16

t = 16/4 = 4

And c = 3t

c = 3(4) = 12

Number of Cucumbers = 12

Number of Tomatoes = 4

6 0
2 years ago
Read 2 more answers
the weight of a bag of golf balls varies directly as the number of golf balls in the bag.If a bag of 69 gold balls weighs 2,553
seropon [69]

Answer: 30

Step-by-step explanation:

Given :The weight of a bag of golf balls varies directly as the number of golf balls in the bag.

Let x be the number of golf balls in a bag that weighs 1,110 grams.

Then we have the following direct variation equation,

\dfrac{x}{1110}=\dfrac{69}{2553}

Multiply 1110 both sides , we get

x=\dfrac{69}{2553}\times1110=30

Hence, there are 30 balls in the bag.

4 0
1 year ago
An employment agency requires applicants average at least 70% on a battery of four job skills tests. If an applicant scored 70%,
brilliants [131]

Answer:

atleast 52

Step-by-step explanation:

Given that an employment agency requires applicants average at least 70% on a battery of four job skills tests.

An applicant scored 70%, 77%, and 81% on the first three exams,

Since weightages are not given we can assume all exams have equal weights

Let x be the score on the 4th test

Then total of all 4 exams = 70+77+81+x\\= 228+x

Average should exceed 70%

i.e.\bar X \geq 70\\Total\geq 70(4) =280

Comparing the two totals we have

228+x\geq 280\\x\geq 280-228 = 52

Hemust  score on the fourth test a score atleast 52 to maintain a 70% or better average.

3 0
1 year ago
Determine the probability of randomly selecting two individuals who are issued exactly two credit cards.​ [Hint: Are the events​
pishuonlain [190]

Answer:

They are dependent because we have to select from people who are given cards.

Step By Step Explanation:

So we'll take away people not given cards first den find the probability of selecting people with cards over the total number of people present .

Probability we'll be equal to = number of people with card(C) two persons/total number of people

Where C represent combination

5 0
2 years ago
"On a map, 0.25 inches represents 1 mile. What is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wi
Vika [28.1K]
0.25 inches represents 1 mile

----------------------------------------------
Find 1 inch:
----------------------------------------------
1 inch represents 1 ÷ 0.25 miles
1 inch represents 4 miles

----------------------------------------------
Find 3.75 inches:
----------------------------------------------
1 inch represents 4 miles
3.75 inches represent 4 x 3.75 miles
3.75 inches represent 15 miles

----------------------------------------------
Find 2.25 inches:
----------------------------------------------
1 inch represents 4 miles
2.25 inches represent 4 x 2.25 miles
2.25 inches represent 9 miles

----------------------------------------------
Find Area:
----------------------------------------------
Area = Length x Width
Area = 15 x 9 
Area = 135 miles²

----------------------------------------------
Answer: 135 miles²
----------------------------------------------
6 0
2 years ago
Read 2 more answers
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