A therm is a unit of heat. The hogans paid $.38 per therm of natural gas. In September they paid $19.57 for natural gas. How many therms did they use

La respuesta es la C :

2/3

Answer:

part 1:

1) AB = BC = 10

2) DE = sqrt(10² - 9²) = sqrt(19)

3) CED = 90⁰

4) BCD = (90⁰ - 53⁰).2 = 74⁰

part 2:

because FGHJ is a rhombus

=> GK = KJ

<=> 3x + 1 = x + 9

<=> 2x = 8

<=> x = 4

and we have:

GHK + FGK = 90⁰

<=> (4y - 8)/2 + y + 4 = 90⁰

<=> 2y - 4 + y + 4 = 90⁰

<=> 3y = 90⁰

<=> y = 30

5) with x = 4 => GJ = 2KJ = 2.(4 + 9) = 26

6) JK = 4 + 9 = 13

7) with y = 30, HFJ = 90 - FGK = 90 - 34 = 56⁰

8) HJF = 2.FGK = 2.34 = 68⁰

part 3:

because MNLO is rectangle

=> MP = PO

<=> 5a - 7 = 2a + 8

<=> 3a = 15

<=> a = 5

9) with a = 5, MO = 2.PO = 2.(2.5 + 8) = 2.18 = 36

10) NP = PO = 2.5 + 8 = 18

11) LM² = LN² - MN² = MO² - 26² = 36² - 26² = 620

=> LM = 2sqrt(156) = 24,9

12) tan NMO = NO/MN = LM/MN = 24.9/26

=> NMO = 43,8⁰

part 4:

because RSTU is square

=> SR = RU

=> 2k + 7 = 3k - 2

<=> k = 9

with k = 9 =>RU = SR = 2.9 + 7 = 25

13) RV = 1/2.SU = 1/2.sqrt(25² + 25²) = 17,7

14) SU = 2RV = 2.17,7 = 35,4

15) perimeter RSTU = 25.4 = 100

16) area RSTU = 25² = 625

Answer:

The area of the triangle is 24 inches.

Step-by-step explanation:

First you multiply 8 by 6.

8 * 6 = 48

Next you divide by 2 because a triangle is half of a square.

48 ÷ 2 = 24

So, the answer is 24.

Hope this helps! :)

The area of triangle with base 6 inches and height 8 inches is 24in² .

Given, Right angled triangle .

Area of triangle = [tex]\frac{1}{2} \times b \times h[/tex]

Here,

b = base of triangle

h = height of triangle

Substitute the values,

Area of triangle = [tex]\frac{1}{2} \times b \times h[/tex]

[tex]= \frac{1}{2} \times 6 \times 8\\ = 3 \times 8\\= 24in^2[/tex]

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Answer: Hi, the answer is 9/4 or C!

Step-by-step explanation:

You would take 2/7 and multiply both the top and bottom by 2 to make it 4/14, the. youd flip 4/14 into 14/4, then multiply the top numbers (9 and 14 by eachother to get 126) then multiply the bottom numbers ( 14 and 4 to get 56) and simplify the new fraction (126/56) to get 9/4!

Answer:

x = -4 and y = 1

Step-by-step explanation:

-x + y = 5

+ x - 5y = -9 <— let’s eliminate x

————————————-

-4y = -4

y = 1

x - 5y = -9 <— substitute for y

x - 5(1) = -9

x - 5 = -9

+5 = +5

x = -4

Answer:

(50, 20)

Step-by-step explanation:

y = -2x + 120

x + (-2x+120) = 70

  -x = -50

x = 50

 y = -2x+120

 y = -2(50)+120 = 20

{x,y} = {50,20}  

Answer:

1. 11/12

2. 1/2

3. 2/3

4. 3/4

5. 1

6. 4/5

7. 9/10

8. 3/5

Step-by-step explanation:

1. 11/12

2. 5/10= 1/2

3. 4/6=2/3

4. 6/8=3/4

5. 3/3=1

6. 4/5

7. 9/10

8. 3/5

Answer:

1. 11/12

2. 3/3

3. 1/2

4. 4/5

5. 2/3

6. 9/10

7. 3/4

8. 3/5

Step-by-step explanation:

since the denominators are the same, you just add the top numbers together. in order to simplify, you find the greatest common factor for both the top and the bottom number.

Answer:

If we put all of it together we have the factors :2 x 5 x 5 x 7 = 350.

Step-by-step explanation:

It can also be written in exponential form as 21 x 52 x 71.

Hope this is helpful .

Answer:

Step-by-step explanation:

draw the prime factor tree of 350

you can choose any 2 numbers that equals 350, then continue in that way by choosing any 2 numbers that equals the number that's on top of the 2 other numbers when multiplying, except 1×number, because it won't help you to get the prime factors of a specific number, unless it's a prime number so you don't need to multiply by any number

                                                             350

                                                     35             10

                                                 5        7       2     5

350=2×5×5×7

Answer:

1.8 bags

Step-by-step explanation:

you just divide 9 by 5

The number of bags of food that each cow eats will be 1.80 bags.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A farmer fed 9 bags of food to his 5 cows. Each cow ate the same amount of food.

Then the number of bags of food that each cow eats will be given as,

⇒ 9 / 5

⇒ 1.80 bags

The number of bags of food that each cow eats will be 1.80 bags.

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Answer:

BD = CE

Step-by-step explanation:

Answer:

$1.68

Step-by-step explanation:

The total cost is $16.07 and there was 2 things bought- the oranges and the juice bottles. to make it easier to find the cost of the juice bottles, we'll subtract the cost of the oranges (2.63) from the total (16.07), which gives us 13.44. this number represents the total cost of only the bottles. To find out the cost if each individual bottle, you need to divide the total (13.44) by the number of bottles (8). This gives us 1.68, so the cost of each bottel is $1.68

Answer: 1.68

Step-by-step explanation: It depends how your teacher thought how to solve this but the easiest way would be: 16.07 - 2.63 = 13.44 than 13.44 divided by 8= 1.68.

Answer:

It can not be determined from the information given because the calorie sources are not independent.

Step-by-step explanation:

Explained in answer above.

There is no enough information to calculate the standard deviation of T.

Check below on how to determine the standard deviation

The standard deviation of a dataset is how much the data elements of the dataset are far from the mean or average value of the dataset

The given parameters are the mean and the standard deviations of calories from fat, protein, and carbohydrates

These values are not enough to determine the standard deviation of T

Hence, there is no enough information to calculate the required standard deviation

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Answer: 9 tickets

Step-by-step explanation:

Answer:

Step-by-step explanation: A cell phone company charges $39.99 flat fee each month, plus $0.05 per minute. If m represents the number of minutes used in a month, which expression can be used to calculate a monthly payment?

39.99 + m

39.99 + m

0.05m + 39.99

0.05 m + 39.99

39.99m + 0.05

39.99 m + 0.05

0.05m

0.05 m

Answer:

meters/second

Step-by-step explanation:

That's a velocity unit :).

Answer:

Meters/Second

Answer:

Step-by-step explanation:

either b or c not sure

Answer:

11-4x

Step-by-step explanation:

if you more like this^^^^^^^^^^

Answer:

1.D

2.A

3.C

4.A

5.B

hope it's helpful ❤❤❤❤

THANK YOU.

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❤

Answer:

Step-by-step explanation:

The answer is A

Answer:

cost of 113 sodas =141.25

cost of 1 soda=141.25/113

=1.24

Answer:

the best deal to cater the party isparty planet

Answer:

Because it earns interest

Step-by-step explanation:

We save money in the financial institutions like banks and micro-finance institutions. This money increase is known as interest. So the money you save increase in value over the time because it earns interest.

Answer:

the bank pays you interest

Step-by-step explanation:

The bank is paying you to keep your money and their storage because they give their money to other people so for that they give you like a cent or more a month based on how much money you put in annually

Answer:

its 2 1/2 its width

Step-by-step explanation:

Answer:

8 feet apart

Step-by-step explanation: