MATHEMATICS MIDDLE SCHOOL

On May 9, 2014 Jason made a deposit of $650.00. What is his balance after this transaction? A) $540.28
B) $832.45
C) $1190.28
D) $1548.11
On May 9, 2014 Jason made a deposit of $650.00. - 1

Answers

Answer 1
Answer:

C is the correct answer

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Five less than 3 times the length, l
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Emily needs 60g of fruit and 100 ml of juice to make a small smoothie. She follows the same recipe to make a large smoothie. A large smoothie uses 350 ml of juice. How much fruit will she need?

If (8, −9) and (6, −3) are the endpoints of the diameter of a circle, what is the equation of the circle?

Answers

(x-7)^(2) + (y+6)^(2) = 10 is the equation of the required circle.

Step-by-step explanation:

Step 1 :

Let A = (8,-9) and B = (6,-3) be the endpoints of the diameter of the given circle.

We need to determine the circle's equation with this diameter

Step 2 :

The mid point of the diameter will be center of the required circle.

Let M = (x,y) be the mid point of the circle.

So  we have x = (8+6)÷ 2 , y = ((-9) + (-3)) ÷ 2

M = ( 7, -6) is the midpoint of the diameter and the center of the circle.

Step 3 :

The radius of the circle is  distance between  midpoint and any one of the end point of the diameter that is  distance between  point A(8,-9) and  M ( 7,-6)

Distance between the 2 points (x_(1) ,y_(1)) and (x_(2) ,y_(2)) is given by

\sqrt{(x_(2)-x_(1))^(2)+ (y_(2)-y_(1))^(2) }

So distance between  A(8,-9) and  M ( 7,-6)  =  \sqrt{(7-8)^(2)+ (-6-(-9))^(2) }

                                                                        =  \sqrt{(1)^(2)+ (3)^(2) } = √(10 )

Hence the radius r is √(10)

Step 4 :

The equation of circle with center (a,b) = (7,-6) and radius r = √(10) is given by

(x-a)^(2) + (y-b)^(2) = r^(2)

=> (x-7)^(2) + (y-(-6))^(2) = (√(10) )^(2)

=> (x-7)^(2) + (y+6)^(2) = 10 is equation of the required circle.

Step 5 :

Answer :

(x-7)^(2) + (y+6)^(2) = 10  is  equation of the required circle.

fred buys a video game disk for 4 dollars. there was a discount of 20 percent. what is the sales price

Answers

4 - 20% is equal to 3.2 (You could've used a calculator.

Which relations are functions?Choose all answers that are correct.

A.
A curve that increases from left to right is plotted on a coordinate grid. The curve goes through point negative 2, negative 3, point negative 1, negative 1, point 0, 0, point 1, 1, and point 2, 3.

B.
x −2 0 3 5
y 1 3 2 3


C.
A set of points are plotted on a coordinate grid. The points include point 5, 4, point 4, 1, point 3, 5, point 3, negative 2, point 2, 2, point 1, 0, and point negative 1, 3.

D.
{(−3, 5), (−1, 3), (2, 2), (2, 6)}

Answers

B) Is correct and 
as-well is A.
B had no repeated values and A has none as-well.
And for A the curve increases without a repeated value (as drawn in the picture)
For D 2 was repeated.
and for C, 3 was repeated. 

T/F every function is a relation

Answers

True
Every function is a relation, but not every relation is a function.

Hope this helps :)
Every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element.

Hope this helps :)

Celeste has a garden that has a length of 15x and a width of 3x+ 5 feet. Write a polynomial that represents the perimeter of the garden

Answers

If garden that has a length of 15x and a width of 3x+ 5 feet then the perimeter of the garden is 36x+10.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the garden has a length of 15x and a width of 3x + 5 feet.

To find the perimeter, we add the lengths of the four sides:

Perimeter = 2 × (Length + Width)

Substitute the given values:

Perimeter = 2 × (15x + 3x + 5)

Now, simplify the expression:

Perimeter = 2×(18x + 5)

Finally, distribute the 2:

Perimeter = 36x + 10

So, the polynomial that represents the perimeter of the garden is:

36x + 10 feet.

To learn more on Perimeter click here:

brainly.com/question/7486523

#SPJ5
Perimeter of a rectangle is
2 × length + 2 × width
P = 2 × (15x) + 2 × (3x + 5)
   =  30x + 6x + 10
   = 36x + 10

Does 3,000 milliliters equal 3 meters

Answers

The answer is No.

a Milliliter is a unit that measures the volume of a liquid, whilst a meter is a unit that measures distance. 
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