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3 years ago

Find the midpoint rounded to the nearest hundreth a (-2,1) b (-1,1)

Mathematics

1 answer:

Veronika [31]3 years ago

8 0

Answer:

$(-1.5, 1)$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

Endpoint A (-2, 1)

Endpoint B (-1, 1)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute [MF]: $(\frac{-2-1}{2},\frac{1+1}{2})$
Subtract/Add: $(\frac{-3}{2},\frac{2}{2})$
Divide: $(-1.5, 1)$

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Felicia makes \frac{1}{2}

saw5 [17]

Question:

Felicia makes ½ gallon of fruit punch. She pours an equal amount into 8 glasses.

What fraction of a gallon fruit punch is in each glass?

Answer:

The fraction of a gallon fruit punch is in each glass is 1/16

Step-by-step explanation:

Given

Size of fruit punch = ½ gallon

Number of glass = 8

Required

Fraction of a gallon fruit punch is in each glass?

To solve this question, the following assumption has to be made.

- The 8 glass cups are of equal sizes.

Having said that;

The interpretation of the question is that, the fruit is evenly distributed into the 8 glass cups.

Mathematically, the size of the fruit punch will be divided by the number of glass cups.

So, we have

Fraction = ½ ÷ 8 (convert ÷ to *)

Fraction = ½ * ⅛

Fraction = 1/16

Hence, the fraction of a gallon fruit punch is in each glass is 1/16

3 0

3 years ago

Felicia is a girl who plays on a co-ed volleyball team. Besides Felicia, the team is made up of 7 boys and 4 other girls. The te

lozanna [386]

Answer: IT IS 1/12

Step-by-step explanation:

Because Felica is one of the girls that play and there is 7 boys and 4 others girls, its like saying we need to add 7 + 4 + 1 which is 12 the answer.

If i get this wrong, my apologies are to you, but I'm pretty sure my equation was correct

Thank me later

7 0

3 years ago

Mr. Mandel gave his class 12 minutes to read. 5 1/2 pages in that time. At what rate, in pages per hour, did Claire read?

Eva8 [605]

5 1/2 pages in 12 minutes.
11/2 pages in 12 minutes

How many pages in an hour?
well, an hour has 60 minutes

Let's write a proportion
11/2 / 12 = x/60
cross multiply
(11/2 * 60) = 12x
330 = 12x
divide both sides by 12
27.5 or 27 1/2 = x

27.5 pages per hour.

Hope this helps

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3 years ago

Danielle wants to know if a new dresser will fit next to her bed. The dresser she would like to buy is 73 centimeters wide. She

zhannawk [14.2K]

Answer:

No.

The dresser's width(28.74in) is greater than the remaining free width(10in) in the room.

Step-by-step explanation:

First, convert the chest width into inches, $73cm=28.74 \ in$

To find the excess width after fitting the bed in her room, we subtract the bed width from the room's width:

$Width_R=86 \ in\\Width_B=76 \ in\\\\Width_{excess}=Width_R-Width_B\\\\=86\ in -76\ in\\\\=10\ in$

Since 10in is less than 28.74in, the dresser will not fit next to her bed.

5 0

3 years ago

Ralph Chase plans to sell a piece of property for $160,000. He wants the money to be paid off in two ways monica short-term no

DerKrebs [107]

Answer:

short-term: $90,000
long-term: $70,000

Step-by-step explanation:

Let x represent the amount borrowed on the short term. Then 160000-x is the amount of the long-term note. The total interest is ...

0.11x +0.08(160000-x) = 15500

0.03x + 12800 = 15500 . . . . simplify

0.03x = 2700 . . . . . . . . . subtract 12800

x = 2700/.03 = 90,000 . . . . short-term note

160,000 -90,000 = 70,000 . . . . long-term note

The short-term note was for $90,000; the long-term note was for $70,000.

3 0

3 years ago