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3 years ago

Will spent $15 for 12 pounds of granola. What is his unit rate in dollars per pound?

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

3 0

Answer:

1.25

Step-by-step explanation:

to find the unit rate you have to find out how much one pound will be so you divide 15 by 12 and you get 1.25

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Jay earned $220 during the summer for delivering magazines. He bought 5 shirts worth $15 each using his magazine money. How much

Yuri [45]

$15 x 5=$75
$220 - $75=$145

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4 years ago

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If a triangle is an equilateral triangle, then the triangle has exactly three 60°

ahrayia [7]

Step-by-step explanation:

In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.

We know that the sum of angles of a triangle is equal to 180 degrees. It means that,

x+x+x=180

3x=180

x=60°

Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60° angles. Hence, △ABC is an equilateral triangle

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4 years ago

The sum of three consecutive numbers is 33 more than the smallest.Find the number

valina [46]

Consecutive numbers. X
X+1
X+2

Add them together. 3x + 3 = 33 + x

-3 -3

3x = 30+ x
-x. -x

2x = 30

X = 15

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4 years ago

Hi im having troble cobineing like terms -10a - 9n + 16 - 30 + 3n + 15a + 50 + a

goldenfox [79]

Answer:

6a-6n+36

Step-by-step explanation:

-10a-9n+16-30+3n+15a+50+a

Combine a...

-10a+15a= 5a+a=6a

Combine n...

6a-9n+16-30+3n+50

-9n+3n= -6n

6a-6n+ 16-30+50

Combine # w no variable

Answer: 6a-6n+36

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3 years ago

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What other points are on the line of direct variation through (5, 12)? Check all that apply. (0, 0) (2.5, 6) (3, 10) (7.5, 18) (

aalyn [17]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

in this problem we have

the point $(5,12)$ is on the line of direct variation

Find the constant of proportionality k

$y/x=k$ -------> substitute ------> $k=12/5$

the equation is

$y=\frac{12}{5}x$

Remember that

If a point is on the line of direct variation

then

the point must satisfy the equation of direct variation

we're proceeding to verify each point

case A) point $(0,0)$

$x=0\ y=0$

Substitute the value of x and y in the direct variation equation

$0=\frac{12}{5}*0$

$0=0$ -------> is true

therefore

the point $(0,0)$ is on the line of direct variation

case B) point $(2.5,6)$

$x=2.5\ y=6$

Substitute the value of x and y in the direct variation equation

$6=\frac{12}{5}*2.5$

$6=6$ -------> is true

therefore

the point $(2.5,6)$ is on the line of direct variation

case C) point $(3,10)$

$x=3\ y=10$

Substitute the value of x and y in the direct variation equation

$10=\frac{12}{5}*3$

$10=7.2$ -------> is not true

therefore

the point $(3,10)$ is not on the line of direct variation

case D) point $(7.5,18)$

$x=7.5\ y=18$

Substitute the value of x and y in the direct variation equation

$18=\frac{12}{5}*7.5$

$18=18$ -------> is true

therefore

the point $(7.5,18)$ is on the line of direct variation

case E) point $(12.5,24)$

$x=12.5\ y=24$

Substitute the value of x and y in the direct variation equation

$24=\frac{12}{5}*12.5$

$18=30$ -------> is not true

therefore

the point $(12.5,24)$ is not on the line of direct variation

case F) point $(15,36)$

$x=15\ y=36$

Substitute the value of x and y in the direct variation equation

$36=\frac{12}{5}*15$

$36=36$ -------> is true

therefore

the point $(15,36)$ is on the line of direct variation

therefore

the answer is

$(0,0)$

$(2.5,6)$

$(7.5,18)$

$(15,36)$

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3 years ago

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