Explain how you know 21 over 30 is greater than 2 over 3

Answers

Answer 1

Answer: So we need to explain how we know 21/30 is greater than 2/3. Well lets expand 2/3 by multiplying the numerator and the denumerator by 10. That way we get 20 / 30. Since 21/30 has 1/30 more than 20/30 we can clearly see that 21/30 is greater than 20/30 or 2/3.

Answer 2

Answer:

so today we will beat larson vs hueneme hathaway and us hathaway people are going to win

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Which expression correctly represents “ten times the difference of a number and six”

Answers

Answer:

Expression will be 10(x - 6).

Step-by-step explanation:

Let the given number is x.

Difference of this number and 6 will be represented by

(x - 6)

Then ten times the difference of this number and 6 will be represented by

10(x - 6)

Therefore, the statement " ten times the difference of a number and six " will be represented by the expression 10(x - 6)

Answer:

10 * (m * 6)

Step-by-step explanation:

hope thats alright!

Use the Distributive Property to find the price of 9 CDs that cost $13.99 each.

Answers

Answer:

The cost of 9 CD's is $125.91.

Step-by-step explanation:

The distributive property can be described as:

$a(b+c)=ab+ac$

Here given is that the cost of 1 CD is $13.99

We can write this cost as = $13+0.99$

And the cost of 9 CD's can be calculated as:

$9(13+0.99)$

Further solving this we get

$(9*13)+(9*0.99)$

= $117+8.91=125.91$ dollars

Therefore, the cost of 9 CD's is $125.91.

To use the distributive property, we "distribute" a value on the outside of a set of parentheses to all of the values on the inside of the parentheses. For example...

6(3 + 9) = 6*3 + 6*9

For your problem, you only have one value 13.99, but we can split it apart to make it a little easier to work with (like with mental math). We can say that 13.99 is the same as 10 + 3.99. Now we can take it and multiply by 9 with the distributive property...

9(10 + 3.99) =
9*10 + 9*3.99 =
90 + 35.91 =

$125.91

I've been trying for 3 hours to answer these problems please help!! Find the value of the square root to the nearest tenth for the numbers:
77, 23, 31, 46, 9, 53, 108, and 10

Answers

Answers:

77 = 8.8

23 = 4.8

31 = 5.6

46 = 6.8

9 = 3

53 = 7.3

108 = 10.4

10 - 3.2

The Briarwood Middle School chess club has 55 members. 22 of the members are in seventh grade. What percent of members of the chess club are in seventh grade?

Answers

Solutions

The Briarwood Middle School chess club has 55 members. 22 of the members are in seventh grade.

To convert a fraction into a percent divide the numerator by the denominator and then multiply that result with 100. We can show this formula by (Numerator/Denominator)*100.

(22/55)*100

= 40.00%

= 40%

Well because there is a total of 55 students that will be your denominator

And there are 22 seventh graders so that would be you numerator since you want to know the percentage of the seventh graders present in the club.

To do so you just need to divide 22 by 55 and multiply that quotient by 100 and slap on that percent sign:

100 * (22 / 55) = 40%

Which equation represents a proportional relationship that has a constant of proportionality equal to 0.7

Answers

$y=ax\to(y)/(x)=a=const.$

a - the constant of proportionality

We have the constant of proportionality a = 0.7.

Therefore the equation is:

y = 0.7x

Answer:

y= 0.7x ...................................................................................

if 3 shirts and 4 caps cost $96, and 2 shirts and 5 caps cost $99, how much did each cap and each shirt cost?

Answers

hmmm..... let us try again...but this time with a different strategy,.... by the graph method.

The system is

3x + 4y =96
2x + 5y = 99.

We find solutions of each system and then plot them on a graph.

Solutions for equation 1 = (2, 22.5) and (30, 0)
Solutions for equation 2 = (49.5 , 0) and (1, 19.4)

Now, we plot both the equations on a graph paper and note its intersecting point.

Experimentally, we find the intersecting point is (12,15)

Thus, the solution for the system is x = 12 , y = 15.

Thus, we arrive at the conclusion 1 shirt costs 12$
1 cap costs 15$

$x-cost\ of\ one\ shirt\ny-cost\ of\ one\ cap\n \n3x+4y=\$96\ \ \ and\ \ \ 2x+5y=\$99\n \n \left \{ {{3x+4y=96\ /\cdot(-2)} \atop {2x+5y=99\ /\cdot(3)}} \right. \n \n \left \{ {{-6x-8y=-192} \atop {6x+15y=297} \right. \n --------\n7y=105\ /:7\n\ny=15\ \ \Rightarrow\ \ 3x+4\cdot15=96\ \ \Rightarrow\ \ 3x=36\ /:3\ \ \Rightarrow\ \ x=12\n \nAns.\ one\ shirt\ cost\ \$12,\ \ one\ cap\ cost\ \$15$

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