MATHEMATICS MIDDLE SCHOOL

Draw 3 rows with 2 counters in each row.write a word problem that can be acted out using these counters

Answers

Answer 1
Answer:

Solution:

Putting 2 counters of Bear in first row , one being 5 in number, another being 7 in number.

Now, putting 2 counters of button shape (Two colored) one being 4 in number and another being 8 in number.

First Word problem:

1.Find total number of counters in two rows.

Solution:       If you have to find total number of counters in two rows it will be: = [5 bear counter+ 7 Bear counter](First row)+ [4 button counter+ 8 button counter](Second row)= 12+12= 24 Counters in all

2. Find the Difference between number of counter in first row to number of counter in second row.

Ans: Counter in first row =  [5 bear counter+ 7 Bear counter]=12 Bear counter

Counter in second row = [4 button counter+ 8 button counter]= 12 Button shaped two color counter

Difference between two rows which have counters in them = 12 -12=0
Answer 2
Answer: zenabo has 3 rows of glasses. there are 2 pair of glasses in each row .how many pair of glasses zenabo have?

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What are the roots of the equation x^2+6x-9=0

Answers

Answer:

The roots of the quadratic equation are

x=-3+3√(2)

x=-3-3√(2)

Step-by-step explanation:

we have

x^(2) +6x-9=0

we know that

The formula to solve a quadratic equation of the form ax^(2) +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^(2)-4ac}} {2a}

in this problem we have

x^(2) +6x-9=0

so

a=1\nb=6\nc=-9

substitute in the formula

x=\frac{-6(+/-)\sqrt{6^(2)-4(1)(-9)}} {2(1)}

x=\frac{-6(+/-)√(72)} {2}

x=\frac{-6(+/-)6√(2)} {2}

x=-3(+/-)3√(2)

x=-3(+)3√(2)

x=-3(-)3√(2)

Given equation is :

x^(2)+6x-9=0

We will solve this quadratic equation, using the formula:

x1,2=\frac{-b+\sqrt{b^(2)-4ac}}{2a} and

x1,2=\frac{-b-\sqrt{b^(2)-4ac}}{2a}

Now, putting a=1 , b=6 and c =-9 we get

x=\frac{-6+\sqrt{6^(2)-4*1(-9)}}{2*1} and

x=\frac{-6-\sqrt{6^(2)-4*1(-9)}}{2*1}

Final solutions are:  x=3(√(2)-1) and

x=-3(√(2)+1)

Which of these numbers is between 1 and 3/4

Answers


No number on your list of choices is between 1 and 3/4 .

When rolling a number cube with sides labeled 1 through 6, what is the probability of rolling a number greater than 2? Express your answer in simplest form.

Answers

you can take 6-2 and then get 4 then you will get 4/6 after simplify you will get 2/3

Which sentence explains the correct first step in the solution of this equation? 4(x−3)=9

Answers

Answer:

Distribute this, : 4(x-3)=9 to get 4x-12=9
4 times what equals 9. Well let's do this backwards. 9/4 equals 2.25 or 2 1/4 and 2 1/4 + 3 = 5 1/4. x=5 1/4. 4(5 1/4 - 3) = 9. Hoped I helped!

If f(x) varies directly with x, and f(x) = 18 when x = 2, find the value of f(x) when x = 6.A.
6

B.
18

C.
36

D.
54

Answers

If f(x) varies directly with x, that mean there exists some unknown number k such that f(x) = kx.

So we were given that f(x) = 18 when x = 2. So plugging in these values will help you find the value of k.

18 = 2k

k = 9

So we know that k=9, therefore f(x) = 9x.

Now, at x=6, you have f(6) = 9·6 = 54

Therefore answer is D.

How do I factor 54+27 using the GCF?

Answers

1. Make a factor tree( always helps for me).

2. Identify the common numbers that make it.

3. 36 and 54 have factors of 2 and 3s in common.

4. Multiply the common factors to find the GCF.

I hope this helped!:)
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