MATHEMATICS MIDDLE SCHOOL

The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?a. 1 over 2
b. 2
c. negative 1 over 2
d. −2

Answers

Answer 1
Answer:
Slope: -2

NOTE: The line perpendicular to line  has a slope . 

So your slope is    -  1 over 2  (Answer a)

Related Questions

sonja and jake just got married. they received $4,500 in gift money and deposited it into a savings account that pays 1.85% simple interest.How much will they have in savings after 3 years?
9/10 divided by (1/10 plus 2/5)
8. In which equation is the constant ofproportionality 5?(D) y
Write -1.12 as a fraction or mixed number in simplest form
ANSWER QUICK PLEASE THANK YOU 20 POINTS!!!The Venn diagram represents different categories of real numbers. Which number does NOT belong in the category Rational on the Venn diagram?A) −12 B) -3/2C) √81D) √61

Estimate a 15% on a dinner bill of $87.21. By first rounding the bill amount to the nearest ten.

Answers

87.21 rounded to the nearest 10 would be $90

 tip = 90 x 0.15 = $13.50
The answer would be 69.13... and btw because this is money I rounded to the nearest hundreth:)

A storage container has a shape of a rectangular prism. it’s height is 8 feet. it’s length is two times it’s width. the volume is 400 cubic feet. find the length and width of the container. please help

Answers

Answer:

length = 10

width = 5

Step-by-step explanation:

So first you divide 8 from 400 which equals 50.

Then so the length and the width has to equal 50 when they are times-ed, and the length is double the width.

So the length is 10

and the width is 5

Final answer:

Given that the volume of a rectangular prism is length x width x height, this problem can be solved by setting up the equation 2w * w * 8 = 400, where w is the width and 2w is the length. Solving this equation, we find that the width is 5 feet and the length is 10 feet.

Explanation:

In mathematics, the volume of a rectangular prism is given by the formula length x width x height. We are given that the volume of the storage container is 400 cubic feet, its height is 8 feet, and the length is twice the width. Let us denote the width as w, then the length is 2w.

From the given volume formula, we have:

Length x Width x Height = Volume

Substituting the values, we get:

2w * w * 8 = 400

Solving this equation, we find:

w^2 = 25

Taking the square root of both sides, we get:

w = 5

Substituting w=5 into 2w, we find the length:

Length = 2*5 = 10

So the width of the container is 5 feet and the length is 10 feet.

Learn more about Volume of a Rectangular Prism here:

brainly.com/question/31393965

A meteorite found in United States weighs 7/10 as much as one found in Mongolia. The meteorite found in Mongolia weighs 22 tons. How much does the meteorite found in United States weigh?

Answers

Answer: The meteorite found in United States weigh 15.4 tons.

Step-by-step explanation:

Since we have given that

Weight of Mongolia meteorite = 22 tons

According to question, we get that

A meteorite found in United States weighs 7/10 as much as one found in Mongolia

So, Weight of meteorite in United states would be

(7)/(10)* 22\n\n=0.7* 22\n\n=15.4\ tons

Hence, the meteorite found in United States weigh 15.4 tons.
15.4 tons is the weigh of the meteorite

5 divided by the sum of a and b

Answers

The mathematical sentence can be written as:

5/(a + b).

How to write the sentence as an expression?

Here we have a mathematical sentence and we want to write as an expression.

"5 divided by the sum of a and b".

The sum of a and b is just written as:

a + b

And we must have 5 divided by that, so we just write this like a quotient:

5/(a + b).

This is the expression that is equivalent to the mathematical sentence.

If you want to learn more about quotients, you can read:

brainly.com/question/629998


5/a+b

sum means addition which divided obviously means division so....

The lesser of two consecutive even integers is 10 more than one-half the greater. Find the integers.

Answers

Hello,

Here's my solution:

Let n = the lesser of the two consecutive even integers; so what will be a good way to represent the greater of the two consecutive even integers? I say n + 2.

Let's write the equation:
n = ((n+2)/2) + 10

I'll multiply both sides of the equation by 2 to eliminate the denominator, getting:
2n = 2[((n+2)/2) + 10]

This reduces to:
2n = n+2 + 20

Which can be further simplified to:
2n = n+22
 
Subtracting n from both sides we get:
n = 22

So n, the lesser consecutive even integer is 22. The greater consecutive even integer is 24.


Let's check this solution by substituting n = 22 into our original equation:

n = ((n+2)/2) + 10

22 = ((22+2)/2) + 10
22 = ((24)/2) + 10
22 = (12) + 10
22 = 22 - it checks!

an aquarium holds 33.75 gallons of water. it has a length of 2 feet and a height of 1.5 feet what is the width of the aquarium

Answers

The correct answer is Width = 11.25feet

What is cube?

  • It is a symmetrical three dimensionalshape containing 6 equal squares

How to solve the problem?

  • This problem can be solved by following steps
  • The volume of the aquarium given is 33.75 gallons
  • The length of the aquarium given is 2 feet
  • The height of the aquarium given is 1.5 feet
  • We need to find the width of the aquarium

As we know that aquarium is made of cube shape

So , The volume of a cube = length*width*height

Let the width be x

Therefore ,

33.75=2*x*1.5

33.75 = 3x

Therefore , x = 11.25 feet

Hence the width is 11.25 feet

Learn more about volume of cube here

brainly.com/question/1972490

#SPJ2
33.75 = 2*1.5*x
33.75 = 3x
x = 11.25 feet
Other Questions
Solve the following inequality. |3n-2|-2<1
A spinner and 4 cards are shown below: A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them. Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected? 1 over 20 1 over 5 1 over 4 9 over 20
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?
Show me how to solve