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lora16 [44]
2 years ago
13

Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. Then she used 3/4 of the rem

ainder to make a salad. What fraction of the tomatoes did mrs Jenkins use to make the salad?
Mathematics
1 answer:
serg [7]2 years ago
5 0

Answer:

Final answer is 1/3.

Step-by-step explanation:

Given that Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. Then she used 3/4 of the remainder to make a salad. Now we need to find about what fraction of the tomatoes did Mrs Jenkins use to make the salad.

Since she used 5/9 of the tomatoes to make pasta sauce.

Then remaining amount of tomatoes = 1- 5/9 = 9/9 -5/9 = 4/9

Then she used 3/4 of the remainder to make a salad. So fraction of the tomatoes did Mrs Jenkins use to make the salad = (4/9)(3/4)=12/36=1/3

Hence final answer is 1/3.

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Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in ye
sdas [7]

Answer:

10 + (\frac{2}{3}) a = 50 is the CORRECT equation.

Step-by-step explanation:

The given question is INCOMPLETE.

Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.” Javier writes the equation { 10 + 2/3} where a is the tree’s age in years. His equation is not correct. What error did he make?

Now here:

a:  The tree’s age in years.

Also,  “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.”

⇒ 10 +  two-thirds of that tree’s age  = 50

\implies 10 + (\frac{2}{3}) a = 50

But in the equation written by Javier, the the third fraction is NOT MULTIPLIED by the age of the tree a in Years.

So, the written equation by Javier is Incorrect.

Now, solving the written correct equation for the value of a, we get:

\implies 10 + (\frac{2}{3}) a = 50\\\implies  (\frac{2}{3}) a = 40\\\implies a = 40 \times  (\frac{3}{2})  = 60\\\implies a  = 60

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2 years ago
Molly made 3600 \text{ mL}3600 mL3600, space, m, L of tea for a party, and she served the tea divided equally in 121212 cups.
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Step-by-step explanation:

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2 years ago
Which value is needed in the expression below to create a perfect square trinomial?
Klio2033 [76]

Answer:

The value which is needed to be added to transform the quadratic expression x^{2}+8x as a perfect square trinomial is 16.

Step-by-step explanation:

A quadratic expression is an expression in which the highest power of the variable is 2 or it can be said that the degree of the expression is 2.  

The identity for (a+b)^{2} is given as follows:  

(a+b)^{2}=a^{2}+b^{2}+2\times(a)\times(b)

<u>Step 1:  </u>

Break down the given polynomial x^{2}+2\times(x)\times(4).

<u>Step 2:  </u>

Now compare the polynomial with the above indentity.  

On comparing it is observed that the value of a is x and the value of b is 4.  

<u>Step 3:  </u>

In order to make the polynomial x^{2}+8x+ a perfect square, add 16 to the broked down polynomial because on comparing the above polynomials the value of b is 4 and the square of 4 is 16.  

x^{2}+2\times(x)\times4+16  

<u>Step 4:</u>  

Now as per the identity (a+b)^{2}=a^{2}+2\times(a)\times(b)+b^{2} the polynomial x^{2}+2\times(x)\times4+16 is written as follows:  

(x+4)^{2}.  

Therefore, the perfect square for the given polynomial is (x+4)^{2} which is created by adding 16 to the given expression.  

Learn more:  

  1. A problem to obtain the y-intercept of a quadratic function brainly.com/question/1332667  
  2. A problem to obtain the binomial and trinomial brainly.com/question/1394854  

Answer details  

Grade: Middle school  

Subject: Mathematics  

Chapter: Quadratic expression  

Keywords: Quadratic, quadratic expression, polynomial, quadratic polynomial, perfect square, trinomial, degree, highest power, transform, identities, break down, perfect square, middle term split, x^2+8x,methamatics, algebra.

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