MATHEMATICS MIDDLE SCHOOL

What is 21/56 equivalent to

Answers

Answer 1
Answer: Both 21 and 56 are divisible by 7 so, the fraction can be reduced. 7 goes into 21 three times, and 7 goes into 56 eight times, so the fraction is 3/8, which is equivalent to 21/56, and is your answer!
Answer 2
Answer: 3/8 because 21 is 7*3 and 56 is 7 *8

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The librarian was checking the thicknesses of several books and found that the average thickness of a book was 1.8 centimeters. She found this by averaging the thicknesses of five different books. Four of the thicknesses were 1.4 cm, 1.9 cm, 2.1 cm, and 2.4 cm. What was the thickness of the fifth book that she measured?

Answers

Answer:

1.2 cm

Step-by-step explanation:

1.8 * 5 = 9

9 - (1.4 + 1.9 + 2.1 + 2.4) = 1.2

1.2 + 1.4 + 1.9 + 2.1 + 2.4 = 9

9/5 = 1.8

What is the equivalent of 4 times the square root of five? answer all that apply. The rest of the answers are:
2 times the square root of ten
AND
3 times 5 and 1/2

Answers

So the selected answer would be 2√20 because that comes out to about 8.94
And 4√5 comes out to 8.94 as well but I could be wrong but yeah that's what I think

Aidan is making cinnamon apples. He needs 3 1/4 teaspoons of cinnamon. He needs 1 2/4 teaspoons of nutmeg. Aidan subtracted the two mixed number to find how much more cinnamon than nutmeg he needs.

Answers

3/4 because when you add it all up and then add 1 2/4 two time and then subtract it you will get 3/4.

Answer:

3/4

Step-by-step explanation:

A chemist is using 351 milliliters of a solution of acid and water. If 19.7 % of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.

Answers

There is 69.147 ML of acid

since we round to the nearest tenth it is 69.1 ML of acid

Which equation represents the line shown in the graph below? A. y = 2x - 3

B. y = -3y + 2

C. y = 3y - 2

D. y = -3y - 2

Answers

The equation used to for slope intercept form is commonly used. 

y = mx + b

Let us find the y-intercept first.

The place where the line crosses the y axis is 2.

y = mx + 2

Now, find the slope.

Find two points on the line, then solve.

m = (y2 - y1)/(x2 - x1)

Alright, I found two points on the line:-  (-2,8) and (2, -4)

m= (-4 - 8)/(2--2)

m = -12/4
m = -3

The slope is -3. The y-intercept is 2

Lets put them into the equation

y = -3x + 2

Final answer:  B.    y = -3x + 2

The equation that represents the line shown in the graph is:

B. y = -3x + 2

Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

\large {\boxed {m = (y_2 - y_1)/(x_2 - x_1)}}

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

\large {\boxed {y - y_1 = m ( x - x_1 )} }

Let us tackle the problem!

From the graph , the line goes through the point ( -1 , 5 ) and ( 0 , 2 ).

Let:

( x₁ , y₁ ) = ( 0 , 2 )

( x₂ . y₂ ) = ( -1 , 5 )

\texttt{ }

We can calculate the gradient of the graph by using this following formula:

m = ( y_2 - y_1 ) / ( x_2 - x_1 )

m = ( 5 - 2 ) / ( -1 - 0 )

m = 3 / (-1)

m = -3

\texttt{ }

Next , we can find the equation of the graph by using this following formula:

y - y_1 = m ( x - x_1 )

y - 2 = -3 ( x - 0 )

y - 2 = -3x

y = -3x + 2

\texttt{ }

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

Stacy wants to make 100 name tags with ribbons ATTACHED TO THEM. each name tag requires 5 centimeter of ribbon. SHE HAS 3.25 meters of ribbon. exactly how many more centimeters of ribbon does stacy still need to make 100 name tags

Answers

Each meter has 100 centimeters. With just 1 meter, you can make 20 name tags with ribbons. So in order to make all of the name tags, you need 5 meters. 5 - 3.25 = 1.75. You need 1.75 more meters of ribbon to make all 100 of the name tags with ribbons.
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