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suter [353]
4 years ago
5

Write any algebraic expression with at least two operations and the word phrase it represents

Mathematics
1 answer:
Lorico [155]4 years ago
8 0

Two consecutive numbers that are odd such that three times the first is 5 more than twice the second.

 

Solution. Let the first odd number be 2n + 1.

Then, the next one is 2n + 3 -- because it will be 2 more.

The problem says, that is, the equation is:

 

<span> <span><span> <span> 3(2n + 1) </span> <span> = </span> <span> 2(2n + 3) + 5. </span> </span> </span></span>

That implies:

<span> <span><span> <span> 6n + 3 </span> <span> = </span> <span> 4n + 6 + 5 </span> </span> <span> <span> 2n = 8 n = 4

Consequently, the first odd number is 2· 4 + 1 = 9.  

The next one is 11.
 

According to the problem, that is the true solution. <span>3 · 9 = 2· 11 + 5.</span> </span> <span>   </span> <span>   </span> </span> </span></span>
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A druggist needs 25 liters of a solution that is 16% iodine. She has one solution that is 12 % iodine and another that is 37 %.
GalinKa [24]

Answer:

21 liters of the 12% solution and 4 liters of the 37% solution

Step-by-step explanation:

Represent the number of liters of the first solution as x and the second as y. Now, the total liters of iodine is going to be 16% of 25 = 4 liters of iodine, and the total liters of each solution is going to be 25. Now, we can setup two equations:

0.12x+0.37y = 4

x + y = 25

Multiplying the bottom equation by 0.12, we have

0.12x + 0.12y = 3

Subtracting, we have

0.12x+0.37y=4

-

0.12x + 0.12y = 3

= 0.25y = 1

= y = 4

= x = 25 - 4 = 21

7 0
2 years ago
Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form
Leokris [45]

Answer: The gradient of the line segment between the points (-5,2) and (4,3) is \dfrac{1}{9}.

Step-by-step explanation:

Formula for gradient of a line segment :

\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}

Given points of the line segment: (-5,2) and (4,3)

\text{Gradient} =\dfrac{3-2}{4-(-5)}

\text{Gradient} =\dfrac{1}{4+5)}

\text{Gradient} =\dfrac{1}{9}

Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is \dfrac{1}{9}.

7 0
3 years ago
Please help me (It's for a really important grade)
Sholpan [36]

Answer:

4/5

Step-by-step explanation:

Sin = Opposite / Hypotenuse

Note that hypotenuse = longest side

We want to find sinФ

The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10

So sinФ would equal 8/10 which can be simplified to 4/5

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7B901%20%7D%20%20-%20%20%5Csqrt%5B3%5D%7B82%7D%20%20-%20%20%5Csqrt%7B7%7D%20
Hatshy [7]
.............................

7 0
3 years ago
Select the statement that best describes each multiplication problem 
Naily [24]

Answer:

1. Perfect Square

2. Perfect Square

3. Conjugate

4. Conjugate

5. Perfect Square

-I am about 98% sure about these answers.

-An example for a perfect square is (5x+3)(5x+3) and an example for a conjugate is (5x+3)(5x-3). The only difference between the two is the symbol for the second pair of parenthesis.

7 0
3 years ago
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