MATHEMATICS MIDDLE SCHOOL

How to draw a model to prove that 3/10 is equal to 9/30

Answers

Answer 1
Answer: Well 3 x 3 = 9 and 10 x 3 = 30 and yes they are equivalent and it is valid
Answer 2
Answer: You show that both numbers can be multiplied by there and that gives you 9/30

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What is 0.16, 16 repeating as a simplified fraction?

Put your answer in (x,y) format pls help!!

Answers

Answer:

(-3,1)

Step-by-step explanation:

Answer:

cant see the image try to repost it .

Step-by-step explanation:

2/3x+7=5/6
Rewrite the equation below so that it doesn’t have fractions please.

Answers

To eliminate all of the fractions in an equation, we can multiply the equation by the least common denominator of all of the fractions in the equation. To find the LCD, we need to find a number that has at least all of the factors of each of the denominators.


To find the LCD of the fractions in this equation, let's look at our denominators, 3 and 6. We can say 3 = 3 and 6 = 2 * 3. By examining this, we can see that our LCD has to have a 3 and 2, since those numbers are found in at least one of the fractions. Thus, our LCD is 3 * 2 = 6.


Now we know to multiply our entire equation by 6. This is solved as shown:

6((2)/(3)x + 7) = 6((5)/(6)) \Rightarrow \boxed{4x + 42 = 5}


Our answer is 4x + 42 = 5.

Please; Help Needed ! The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times.

What is the experimental probability of rolling a 1 or a 5?

Express your answer in simplest form.

Outcome 1 2 3 4 5 6
Number of times outcome occurred 10 6 4 8 6 6

Answers

Experimental probability  = 

         (number of times the result you wanted came up)
divided by
         (number of times you tried it) .

-- Number of times a 1 or a 5 came up  =  (10 + 6)  =  16

-- Number of times you tried it  =  (10 + 6 + 4 + 8 + 6 + 6)  =  40

-- Experimental probability  =  ( 16/40 )  =  2/5  =  40% .
If they want a ratio it is 1/6 or 5/6

Solve pls thank you​

Answers

Answer:

B

Step-by-step explanation:

We start with 16 grams of water

At the end of the first hour , we decreased by 3.5%

We take the amount and multiply by the percent decreased.  Then subtract that from the original amount

16*3.5%  =

16*.035 =.56

16-.56 = 15.44

At the end of the second hour , we decreased by 4.25%

We take the amount and multiply by the percent decreased.  Then subtract that from the amount we started with at hour 2

15.44 *4.25%

15.44 *.0425=.6562

15.44-.6562=14.788

Answer:

B.

Step-by-step explanation:

So there are 16 grams initally. Then, the amount of water decreases by 3.5%.

So first we must find 3.5% of 16. 3.5% in decimal form is 0.035, since you divide 3.5 by 100. Then, when you multiply 0.035 by 16, you get 0.56. Since the solution decreased by that percentage, you must subtract 0.56 from 16, which is 15.44.

Then the amount of water decreases by 4.25%. That in decimal form is 0.0425. You multiply it by 15.44, and it comes out to 0.6562. You subtract that from 15.44, not 16, since some of the water has evaporated. So you get 14.7838.

How many hundreds in 1.85?

Answers

The hundredths place in this problem is 5. the 1 would be the ones, the 8 the tenths, and the 5 the hundredths.

According to the Fundamental Theorem of Algebra, the graph of f(x) = x2 - 4x + 3, has roots. From the graph we can see that it has zeros.

Answers

Answer:

The graph f(x)=x^2-4x+3  has two zeros namely 3 and 1.

Step-by-step explanation:

Consider the given equation of graph f(x)=x^2-4x+3

According to the Fundamental Theorem of Algebra

For a given polynomial of degree n can have a maximum of n roots.

Thus, for the given equation f(x)=x^2-4x+3  the degree of polynomial is 2 , thus the function can have maximum of 2 roots.

We know at roots the value of function is 0 that is f(x) = 0,

Substitute f(x) = 0 , we get, f(x)=x^2-4x+3=0

This is a quadratic equation, x^2-4x+3=0

We first solve it manually and then check by plotting graph.

Quadratic equation can be solved using middle term splitting method,

here, -4x can be written as -x-3x,

x^2-4x+3=0 \Rightarrow x^2-x-3x+3=0

\Rightarrow x(x-1)-3(x-1)=0

\Rightarrow (x-3)(x-1)=0

Using zero product property, a\cdot b=0 \Rightarrow a=0\ or \ b=0

\Rightarrow (x-3)=0 or \Rightarrow (x-1)=0

\Rightarrow x=3 or \Rightarrow x=1

Thus, the two zero of f(x) are 3 and 1.

We can also see on graph attached below that the graph f(x)=x^2-4x+3  has two zeros  namely 3 and 1.  

Answer:

2 roots

2 zeros

Step-by-step explanation:
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