MATHEMATICS MIDDLE SCHOOL

Evaluate 4x+2y-6z-x-3y+2z

Answers

Answer 1
Answer: 3x-y-4z, just add/subtract the numbers with the same variable
Answer 2
Answer:

Answer:

3x-y-4z

Step-by-step explanation:

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Which does not show a direct variation between x and y?  A.y = x/9  B.y = 2x  C.y = 0.5x  D.y = 9/xIf f(x) varies directly with x, and f(x) = 8 when x = 6, write the direct linear variation equation.  A. f(x) = 3/4x  B.f(x) = 6x  C.f(x) = 8x  D.f(x) = 4/3xFind the constant of variation for the relationship f(x)= 30x.  A.10  B.30  C.x  D.f(x)If f(x) varies directly with x, and f(x) = 56 when x = 8, find the value of f(x) when x = 2  A.4  B.7  C.8  D.14

A backpack that normally sells for $39 is on sale for 33% off. Find the amount of the discount and the sale price.

Answers

1. 33% = 0.33 
$39 x 0.33 = $12.87 
$39 - $12.87 = $26.13 

Discount: $12.87 
Sale price: $26.13 
First find 10%
10% of $39 = $3.90
so...
30% of $39 = $11.70
This is because 30% is 10% multiplied by 3. So you just have to multiply 3.90 by 3.
Then you would work out 1%
1% of $39 = $0.39
so...
3% of $39 = $1.17
This follows the same principle as before.
Now you have to add them together to get the discount price.
11.70 + 1.17 = $12.87

To get the price after the discount, simply take the discount price away from the usual price:
39 - 12.87 = $26.13

Therefore the two answers to your questions are..
$12.87
and..
$26.13
Hope this helped :)

What is mode median and range

Answers

the median is the middle number, the range is the difference between the lowest and highest values(subtract the lowest number from the highest number) and the mode is the number that appears most often in a set of numbers
Hope this helps
Mode is the most number out of the numbers. Range is when you get the big number and the small number a subtract them . Median is when you add them all together and then divided guy how many numbers you have .

How are common denominator and a common multiple alike and different

Answers

east common multiple is the smallest multiple both numbers can go into. (Example: the LCM of 10 and 4 is 20, because both 10 and 4 go into 20 and 20 is the smallest number both 10 and 4 can go into. You could just multiply them both, but you'd get 40 and since its a bigger number it would be harder to work with.)

Least common denominator is just the least common multiple as a denominator. (Example: if you wanted to find the LCD of 5/7 and 1/10, you'd have to find the LCM of the demoniators (7 and 10) and then just use that as the denominator when adding fractions with unlikely denominators.) Sorry for such a long answer :P

Which exponential function goes through the points (1,32) and (4,2048)

Answers

Answer:

y=8*4^x

Step-by-step explanation:

Let the exponential function be of the form y=A*B^x

We want to find constant A and B.

So I'm going to use (1,32) giving me 32=A*B

I'm going to use (4,2048) giving me 2048=A*B^4

2048/32=64

A*B^4/A*B=B^3

So If you divide the equation 2048=A*B^4 by 32=A*B

we get 64=B^3

which gives us B=4

Since 32=A*B and B=4 then A=8

So the answer is y=8*4^x

An animal gained 4 pounds steadily over 16 years what is the unit of rate of pounds per year?

Answers

Think about it... If it gains 4 pounds in 16 years, how many does it grow in 1 year? :) See the relation? If not...

a) How would you express it growing per year? 4 pounds in 16 years... It must be 4/16!
b) To find the unit rate, the numerator MUST BE 1. What can you do to 4 to get to 1? You can divide by 4!
c) Of course, whatever you do to one side of the fraction, you HAVE to do to the other. That means you have to divide the 4 in the equation by 4 AND the 16 in the equation by 4. You should get 1/4, because 4/4 is 1 and 16/4 is 4.
d) Wow! That means your unit rate is 1 pound per 4 years, or 1/4!

TIP:
 Try thinking of the division sign / as 'per'. Instead of the unit rate being thought of as 1/4, think of it as 1 per 4 years. :)

If the bases and heights of a prism and a pyramid are the same and the volume of the prism is 27 cubit units, what is the volume of the pyramid? cubic units

Answers

Answer:

The volume of the pyramid is 9 cubic units.

Step-by-step explanation:

Given : If the bases and heights of a prism and a pyramid are the same and the volume of the prism is 27 cubit units.

To find : What is the volume of the pyramid?

Solution :

We know that,

If a pyramid and a prism have the same base and height then their volumes are always in the ratio of  1 : 3.

Which means the volume of pyramid is one-third of the volume of the prism.

i.e.V_P=(1)/(3)* V_p

Volume of the prismV_p=27 \text{ unit}^3 (given)

The volume of pyramid is

V_P=(1)/(3)* 27

V_P=9\text{ unit}^3

Therefore, The volume of the pyramid is 9 cubic units.
You divide 27 with 3 I think, because when you need to know the pyramid's volume you do:
base x height / 3
And when you want to know the prism's it's just the base x height.
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