MATHEMATICS MIDDLE SCHOOL

2y=x-4 find the slope and y-intercept

Answers

Answer 1

Answer:

Answer:

Slope is 1/2

Y- intercept is -2

Step-by-step explanation:

Re-write the equation so that u have y = x/2 -4/2

Then simplify into y = 1/2x -2

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Steven has 14 steel balls of equal weight. If he puts 9 of them in one pan of a pan balance and the rest along with a weight of 20 grams in the other pan, the pans balance each other. What is the weight of one steel ball? A) 5 grams B) 14 grams C) 20 grams D) 0.65 grams

Answers

Answer:

Option A - 5 grams

Step-by-step explanation:

9 balls in one side

= 5 balls other side with 20 gram

5 + 4 balls one side

= 5 + 20 grams other side

5 + 4 balls

= 5 balls + 20/4

5 gm of I ball weight 9 * 5 = 45

5 * 5 + 20

= 45

Answer:

b = 5 grams

Step-by-step explanation:

Let b represent the weight of one ball.

Then 9b = 20 grams + 5b.

Solving for b, subtract 5b from both sides, obtaining 4b = 20 grams.

Then b = the weight of one steel ball = 5 grams.

Check: Does 9(5 grams) = 20 grams + 5(5 grams)?

Does 45 grams = 45 grams? YES

What are the first six terms of the sequence a1=0,an=an-1-8

Answers

Answer:

0, -8, -16, -24, -32, -40

Step-by-step explanation:

$a_1=0\n\na_n=a_(n-1)-8\n\n\text{Put n = 2, n = 3, n = 4, n = 5 and n = 6 to the expression:}\n\na_2=a_1-8\to a_2=0-8=-8\n\na_3=a_2-8\to a_3=-8-8=-16\n\na_4=a_3-8\to a_4=-16-8=-24\n\na_5=a_4-8\to a_5=-24-8=-32\n\na_6=a_5-8\to a_6=-32-8=-40$

Answer:

a1 =0

a2 = -8

a3 = -16

a4 = -24

a5 = -32

a6 = -40

Step-by-step explanation:

a1 =0

an = an-1 -8

We subtract 8 each time

a1 =0

a2 = 0-8 = -8

a3 = -8 -8 = -16

a4 = -16 -8 = -24

a5 = -24-8 = -32

a6 = -32-8 = -40

How many solutions does the equation have? a+5=1/5(5a+25)

Answers

a + 5 = $(1)/(5)$ (5a + 25)

First, simplify $(1)/(5) (5a + 25)$ to $(5a+25)/(5)$ / Your problem should look like: $a + 5 = (5a+25)/(5)$
Second, multiply both sides by 5. / Your problem should look like: $5a + 25 = 5(a + 5)$
Third, expand to get rid of parenthesis. / Your problem should look like: $5a + 25 = 5a + 25$
Fourth, both sides are equal, resulting it having infinite solutions.

Answer: infinite solutions

The first debate team is showing a video of the recent debate the first showing 3:15 PM the second showing is scheduled at 4:50 PM with one half hour between the showings explain how you use a number line to find an answer

Answers

You can use a numberline by skip counting by 30 minutes then by 5 minutes, then take away 30 minutes because of the 30 minute break.

What is the combined volume of 2 identical rectangular prisms with the dimension 7 cm x 9 cm x 3 cm?

Answers

$2\cdot7\cdot9\cdot3=378 \ cm^3$

7 * 9 * 3 * 3 = 378 :)

Complete the calculations below to write equivalent fractions, with a common denominator. 4/5 and 5/6

Answers

I think you're saying that you want equivalent fractions for 4/5 and 5/6 ,
and the equivalent fractions should both have the same denominator. OK.

Have you learned "least common denominator" yet ?
Or maybe "least common multiple" ?

It's the smallest number that 5 and 6 both go into with no remainder.

I'm not going to try to explain the whole general method for finding it.
That confuse both of us, you and me.

In this case, I'll just tell you that the smallest common denominator here
is 30 . Now you have to find the two numerators, so that the new
fractions will really be equivalent to the old ones.

-- Write 4/5 as something with a denominator of 30 .

   4/5 = ? / 30 .

What is the '5' multiplied by to get the '30' ?
   It's multiplied by 6 to get 30 .
   So multiply the 4 by the same 6.    The equivalent fraction is 24/30 .

-- Write 5/6 as something with a denominator of 30 .

   5/6 = ? / 30 .

   What is the '6' multiplied by to get the '30' ?
   It's multiplied by 5 to get 30 .
   So multiply the 5 by the same 6.    The equivalent fraction is 25/30 .

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