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SashulF [63]
3 years ago
10

(5a +7b)b/(b+2b)=? 4a ,4ab , 2a+4b , 5a+7b/3 , 5a+5b

Mathematics
2 answers:
musickatia [10]3 years ago
6 0
The correct answer is:  [D]:  " \frac{5a + 7b}{3} " .
__________________________________________________
Explanation:
__________________________________________________
\frac{b(5a + 7b)}{b +2b} ; 

Simplify the "denominator" ;   →  (b + 2b = 1b + 2b = 3b) ; 

 and rewrite: 

\frac{b(5a + 7b)}{3b} ; 

Cancel out the "b" in the "numerator" to a "1" ; 
              and cancel the "3b" in the "denominator to a "3" ; 

{since:  "b ÷ b = 1 ";  and since:  "3b ÷ b = 3" } ;

and rewrite as:
____________________________________________________
            \frac{5a + 7b}{3} ; 
____________________________________________________

   →  which is:  Answer choice:  [D]:  "  \frac{5a + 7b}{3} " .
____________________________________________________
avanturin [10]3 years ago
6 0

Answer:

d

Step-by-step explanation:

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maksim [4K]
<h2>Hello!</h2>

The answers are:

a) \frac{49}{4}

b) (x+\frac{7}{2})^{2}

<h2>Why?</h2>

First, we need to know that for this case:

a=1\\2ab=7

So,

b=\frac{7}{2}

b^{2} =(\frac{7}{2})^{2}=\frac{49}{4}

We must add \frac{49}{4}  to the expression in order to form a perfect square trinomial,

x^{2} +7x+\frac{49}{4}

Writing the trinomial as a binomial square:

(x+\frac{7}{2})^{2}=x^{2}+2*\frac{7}{2}*x+(\frac{7}{2})^{2}=x^{2} +7x+\frac{49}{4}

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8 0
3 years ago
Read 2 more answers
Question
ella [17]

Answer:

The money invested into bond is $8000

The money invested into stocks is $17,000

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Vartan wants to invest $25,000

- He wants to put some of the money into a bond that pays 4% annual

 interest and the rest into stocks that pay 9% annual interest

- He wants to earn 7.4% annual interest on the total amount

- We need to know how much money he should invest in each account

- Assume that he will put $x into the bond that pays 4% annual interest

- He will put the rest into stocks that pay 9%

- The rest = 25,000 - x

∴ The money earns = (4/100)(x) + (9/100)(25,000 - x)

∴ The money earns = 0.04 x + 2250 - 0.09 x

∴ The money earns = 2250 - 0.05 x ⇒ (1)

∵ He wants to earn 7.4% annual interest on the total amount

∵ Total amount is $25,000

∴ The money earns = (7.4/100)(25,000)

∴ The money earns = 1850 ⇒ (2)

- <u><em>Equate (1) ans (2)</em></u>

∴ 2250 - 0.05 x = 1850

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∴ 400 = 0.05 x

- Divide both sides by 0.05

∴ x = 8,000

∴ 25,000 - 8,000 = 17,000

∵ x represents the money invested into the bond

∵ 25,000 - x represents the money invested into the stocks

∴ The money invested into bond is $8000

∴ The money invested into stocks is $17,000

3 0
3 years ago
Ronald needs a morning breakfast drink that will give him at least 390 calories. Orange juice has 130 calories in 8oz. How many
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Answer:

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Step-by-step explanation:

Given-

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6 0
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Can you figure this out? easy 34 points
lianna [129]
Answer is 1 1/2 once u solve the equation or 3/2
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