In a recent year in Tennessee, there were 53 telephones for every 100 people. What was the ratio of phones to people?

Answers

Answer 1
Answer: The answer for this would be 100:53 since you always put the larger number first.
Answer 2
Answer:

Final answer:

The ratio of phones to people in Tennessee in a given year was 53:100, meaning that for every 100 people, there were 53 telephones.

Explanation:

In the year specified, according to the data, there were 53 telephones for every 100 people in Tennessee. Therefore, the ratio of phones to people is 53:100. This means for every 100 individuals, 53 had phones. To fully understand a ratio, envision that for every 100 people in a room, 53 of them would have a telephone.

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1. The legs of a right triangle measure 24 feet and 45 feet. what is the length of the hypotenuse?A. 51ft
B.69ft
C.38.07ft
D.8.31ft

2. Which of these cannot represent the lengths of the sides of a right triangle?
A.3 ft,4 ft,5 ft
B.6 in,8 in,10 in
C.16 cm,63 cm,65 cm
D.8 m,9 m,10 m

Answers

1.

so remember
a^2+b^2=c^2

a and b are the legs
c=hypotonuse so
a=24
b=45
subsitute
24^2+45^2=c^2
576+2025=c^2
2601=c^2
square root both sides
51=c

the answer is A. 51 ft


2. just subsitute and solve for ones that are not equal (hypotonuse is greater than either legs)
A. 3^2+4^2=5^2
9+16=25
25=25
correrct

B. 6,8,10
this is a multiplule of the 3,4,5 previoius so this works as well

C.16^2+63^2+65^2
256+3969=4225
4225=4225
correct

D. 8^2+9^2=10^2
64+81=100
145=100
false

the answer is D


ANSWERS:
1. A, 51 ft
2. D, 8,9,10
The answer is A).51 ft
To solve the problem use the Pythagorean Theorem. There are 3 parts to the Pythagorean Theorem. A (squared)+ B (squared) = C(squared). To "square" a number mutiply to itself. A=24
B=45, C is the Hypotenuse, you want to find out C. A is 24, a leg. B is 45, a leg. A squared is 24*24, 576 feet. B squared is 45*45, 2025 feet. To find C (the hypotenuse), add 576+2025 which is 2601 feet. The answer is **2601 feet**. Sometimes they will only give you 1 leg and the hypotenuse and want you to find the 2nd leg answer.
An example is if they asked " a right triangle has a 24 ft leg and hypotenuse is 2,601 ft. What is the length of the other leg? Still use Pythagorean Theorem. A is 24 ft,
you are looking for B,
you know that C is 2601 ft. So it is (24*24) +X squared=2601 ft. Then
2601-576. The answer is 2025, press square root button and it is 45 ft

Please help with number one through 8 and please answer cause I waste 10 points to post this question so u people can help me so please help me thanks !! HELP PLEASE I AM DYING JK BUT I NEED HELP PLEASE !!

Answers

On row 1, E is the wrong one because it should be 9n but its 8n instead
On row 2, P is the wrong one because it should be 6x but its 6+3x instead
On row 3, N is the wrong one because it should be 2x+2 but its 3x instead
On row 4, R is the wrong on because it should be 11a+3 but its 14a instead
On row 5, R is the wrong one because it should be 18n but its 9n instead
On row 6, M is the wrong one because it should be 15x+3 but its 15x+45 instead
On row 7, A is the wrong one because it should be 14t+4 but its 18t instead
On row 8, E is the wrong one because it should be 3n+21 but its 9+7n

What is the answer to 9a-3{a-6}=-6

Answers

9a-3(a-6)=-6
9a-3a+18=-6
6a+18=-6
-18 -18
6a = - 24
/6. /6
A= -4
9a-3(a-6)=-6 

9a-3a+18=-6 

6a+18=-6 

6a=-6-18 

6a=-24 

a=-24/6 

a=-4

–0.8b2+7.4b+(5.6b–0.2b2)

Answers

In this question, you would be combining like terms

Solve by combining like terms:

-0.8b²+7.4b+(5.6b-0.2b²)

This is the same as:

-0.8b² + 7.4b + 5.6b - 0.2b²

Solve:

-0.8b² + 7.4b + 5.6b - 0.2b²

-1b² + 7.4b + 5.6b

-1b² + 13b

Answer:

-1b² + 13b

Answer:

Simplify the expression.

−1b^{2}+13b

Step-by-step explanation:

plz help Pru, Piper, and Phoebe share spices in the ratio 5:3:4. If Pru has 24 more spices than Piper, how many spices does Phoebe have?

Answers

Answer:

48 spices

Step-by-step explanation:

The number of spices each has is a multiple of 5, 3, and 4.

The number of spices each has is 5x, 3x, and 4x.

Pru has 5x spices.

Piper has 3x spices.

Pru has 24 more spices than Piper, so

5x = 3x + 24

2x = 24

x = 12

Phoebe has 4x spices, so Phoebe has

4(12) = 48

Answer:


Step-by-step explanation:  Pru, Piper, Phoebe their ratio 5:3:4 added = 12

What this would mean is that Pru has 5/12 of the total amount, Piper has 3/12 of the total, and Phoebe has 4/12 of the total amount of spices all together.


pru = piper + 24

5/12x = 3/12x + 24

5/12x - 3/12x = 24

2/12x = 24

x = 24 / (1/6)

x = 24 * 6

x = 144 spices in all.


Pru has : 5/12(144) = 720/12 = 60 spices

Piper has : 3/12(144) = 432/12 = 36 spices

Phoebe has : 4/12(144) = 576/12 = 48 spices <====





In sugar beet, there is 21% of sugar. How much sugar beet do you need in order to get 7,413 tons of sugar?

Answers

35300 tons of sugar beet we need in order to get 7,413 tons of sugar.

Step-by-step explanation:

Given that  in sugar beet, there is 21% of sugar.  Need to find out how much sugar beet we need in order to get 7,413 tons of sugar. Let we need x tone of sugar beet. So, according to the asked data, we have

                        21 \% \text { of } x=7413

                        (21)/(100) * x=7413

                        0.21 * x=7413

                        x=(7413)/(0.21)

                        x = 35300 tones

Answer:

35300 tons of sugar beet we need in order to get 7,413 tons of sugar.

Step-by-step explanation:

Given that in sugar beet, there is 21% of sugar. Need to find out how much sugar beet we need in order to get 7,413 tons of sugar. Let we need x tone of sugar beet. So, according to the asked data, we have

x = 35300 tones

Step-by-step explanation: