MATHEMATICS MIDDLE SCHOOL

What is the slope and the y-intercept of y=1,000-65x

Answers

Answer 1
Answer: so what you have is this:
y = -65x + 1000

this is a form of y = mx + b,
where m is the slope and b is the y-intercept of the linear relationship.

so, -65 is m and 1000 is the b

It should be a piece of cake from there :D
Answer 2
Answer: slope: -65 y-int: (0,1000) remember y=mx + b m=slope so whichever number is by x thats the slope and b= y-int

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Three less than one-fourth of the product of eight thirds and nine. Please write equation, then solve.

Answers

Put simply, you have to work backwards in making the equations. Start with the product of 8/3 and 9.
(8)/(3)*9

 Next take 1/4 of that. This can be done in two ways, either multiplying by 1/4:
((8)/(3)*9)*(1)/(4)

, or dividing everything by 4.
((8)/(3)*9)/4

Finally, subtract three.

The final equation would read:
(((8)/(3)*9)*(1)/(4))-3



Using PE(M/D)(A/S), we'd start with (8)/(3)*9

3 and 9 cancel out to be 1 and 3, leaving us with (8)/(1), or 8, and 3 and this part of the equation reading 8*3, which is 24.

The next step is (24)/(4), which is 6.

Lastly we subtract 3 from six, leaving us 3.

¹/₄ × ( ⁸/₃ × 9 ) - 3 = 3

Further explanation

Order of Operations in Mathematics follow this following rule :

  • Parentheses
  • Exponents
  • Multiplication and Division
  • Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem!

Product of eight thirds and nine

(8)/(3) * 9

One-fourth of the product of eight thirds and nine

(1)/(4) * ( (8)/(3) * 9 )

Three less than one-fourth of the product of eight thirds and nine

(1)/(4) * ( (8)/(3) * 9 ) - 3

= (1)/(4) * ( (8 * 9)/(3) ) - 3

= (1)/(4) * ( (72)/(3) ) - 3

= (1)/(4) * 24 - 3

= (1 * 24)/(4) - 3

= (24)/(4) - 3

= 6 - 3

= \boxed {3}

Learn more

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Order Of Operations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

ken is making gift bags for a party he has 64 colored Pens and wants to put the same number in each bag how many bags will ken make if he puts 4 pens in each bag?

Answers

Answer: Ken will make 16 bags.

Step-by-step explanation:

Given : Ken is making gift bags for a party he has 64 colored Pens and wants to put the same number in each bag .

If he puts 4 pens in each bag, then by using division operation, we have

The number of bags will Ken make= 64/4=16

[ \because\ 16*4=64 ]

Therefore, the Ken will make 16 bags.
You must divide 64 by 4. So ken can make 16 bags.

If the price of a computer was decreased from $1,000 to $750, by what percent was the price decreased?

Answers

the answer is it got decreased by 25 percent 
it has got decreased by 25 percent.

TRUE OR FALSE: Every diameter of a circle is a chord. Justify your answer using what you know about diameters and chords.

Answers

True.
A diameter is a line that goes across the whole circle and passes by the center.
A chord is any line segment that connects two points on the circumference.
Since the diameter is a line from one opposite end of the circle to the other, it is connect two points on the circumference, thus it is a chord.

A distance of 50 miles on a map is represented by a 2-inch line. If the map is enlarged to 4 times its size, what will be the scale of the enlarged map? Show your work.

Answers

Answer:

Step-by-step explanation:

50X2=100X4=400
2in = 50mi
X4
8in will represent 50mi

Use the order of operations to simplify thise expression. Enter a numerical answer only: 3 − 8 ÷ |−6 + 2|

Answers

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:
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