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Naily [24]
3 years ago
10

Lyra and Donna are testing the two-way radios they built for their high school science project. Lyra goes to the top of a buildi

ng that is 22 meters high with one of the radios and stands directly above the building’s entrance. Donna walks out of the entrance, perpendicular to the building, with the other radio. If Donna is more than 50 meters from the entrance, the connection between the radios breaks. What is the range of communication for the two radios to the nearest meter?
Mathematics
1 answer:
Strike441 [17]3 years ago
6 0
The range of communication is about 55 meters.
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Fernando has some nickels, dimes, and quarters that are worth a total of $3.25. He has twice as many dimes as nickels. He has 3
CaHeK987 [17]

Answer:

Number of nickels = 5

Number of dimes = 10

Number of quarters = 8

Step-by-step explanation:

Fernando has a total of nickels + dimes + quarters = 3.25$

Let the number of nickels = x

Then x(.05) + dimes(.10) + quarters(0.25) = 3.25------(1)

He has twice as many dimes as nickels

dimes = 2×nickels

dimes = 2x--------(2)

He has 3 more quarters than nickels

quarters = nickels +3

quarters = x +3------(3)

From equations 1, 2, and 3.

x(.05) + 2x(.10) + (x + 3)(.25) = 3.25

.05x + 0.2x + 0.25x + .75 = 3.25

5x + 20x + 25x + 75 = 325

50x = 325 - 75

50x = 250

x = 5

Therefore the number of nickels are 5

from equation 2 number of dimes are 10

and from equation 3 number of quarters are 8.

3 0
3 years ago
The sum of two consecutive odd integers is 132. What are the two integers?
sineoko [7]

Answer:

65 and 67

Step-by-step explanation:

two consecutive odd numbers would look like this:

x and x + 2

this is because of how counting numbers works:

1  2  3  4  5  6  7

the consecutive numbers here would be 1, 3, 5, 7, etc.

if one number (x) was 1, the next number would be (x + 2) which is three. This formula will work for all consecutive odd numbers.

so, x + x + 2 = 132

2x + 2 = 132

      -2      -2

2x = 130

/2       /2

x = 65

the first number is x = 65

the second number is x + 2 which means this number is 65 + 2 = 67

(check: 65 + 67 = 132)

6 0
4 years ago
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Mixture B because there’s a higher ratio of coffee to milk than in Mixture A (1:3 vs. 1:2)
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4 years ago
When adding 2/3 + 4/5, what step must be completed first?
Irina18 [472]

Answer:

you have to find the smallest common denominator

Step-by-step explanation:

so once the fractions have the same denominator you can add them easily and simplify

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3 years ago
If A = (8, 2) B = (11, 13) and C = (2, 6), classify the the following triangle as either right or isosceles
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Answer:

isosceles

Step-by-step explanation:

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