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Hatshy [7]
3 years ago
9

determine whether or not the two questions below have the same solution period and two or more complete sentences, explain your

rationale

Mathematics
1 answer:
Jlenok [28]3 years ago
4 0
The equations have the same solution, which means you can convert one into the other by applying rules. To prove this, let's get rid of the fractions by multiplying the first equation by 12 (this number I chose by multiplying the denominators we want to get rid of).

12 \cdot \frac{2}{3}x + 12\cdot \frac{3}{4} = 12 \cdot 8 \implies

8x + 9 = 96

Now move the 9 to the other side:


8x = 96 - 9 = 87

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In the barn, there are horses and chickens. There are 11 heads and 32 legs altogether. How many chickens are there?
Masteriza [31]

Answer:

6 Chickens

Step-by-step explanation:

Let  H represent the number of horses and  C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:

2C  +  4 H  =  32     (Eq. 1)

Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:

C  +  H  =  11    (Eq. 2)

From Eq. 2, solve for the number of chickens:

C  +  H  =  11

C   =  11  - H    (Eq. 3)

Substituting Eq. 3 in Eq. 1, the number of horses can be determined:

2 C  +  4 H  =  32

2 ( 11  −  H )  +  4 H  =  32

22   −  2 H  +  4 H  =  32

2H  =  32  − 22

2 H  = 10

H = 5               Eq.4

Putting Eq.4 in Eq.1

2C + 4*5 =  32

2C = 32 - 20

2C = 12

C = 12/2

C = 6

8 0
3 years ago
Which of the following phrases could represent the expression k - 4? a number subtracted from four four less a number a number d
ad-work [718]

Hey!


Your answers are:

- 4 less than a number

- A number decreased by 4


Let k represent "a number". "k" is a variable, and variables are unknown.


-4 is subtracting 4. That means you're subtracting 4 from a number. -4 also means that the number is decreasing by 4. Therefore, those 2 are your answers.


<em>I hope this helps!</em>

4 0
4 years ago
Read 2 more answers
Find an equation of the line parallel to the line y=5 and passing through -2,-3
Nutka1998 [239]
Y = 5x + c , ( -2 , -3 )
- 3 = 5 ( - 2 ) + c
c = 7
y = 5x + 7

i am a mathematics teacher. if anything to ask please pm me
3 0
3 years ago
A tube-feeding formula is administered to a patient via Gastrostomy at 75
melomori [17]

Answer:

97.5ml protein

Step-by-step explanation:

20hr * 75ml/hr = 1500ml

1500ml * .065 = 97.5ml protein

8 0
3 years ago
Resultado de esta cuenta Explicada cuenta completa:<br><br>(6+3)²=​
Mumz [18]

81 is the correct answer

hope it helps you have a good day

7 0
3 years ago
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