The product of 4 and a number is 28

What is the us as a decimal number

PolarNik [594]

Answer:

-86.07

Step-by-step explanation:

Theres a negative 86 and a 7 over 100.

3 0

2 years ago

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The original price of a mirror was priced at $15 but was on sale. The amount of the discount is $3. What percent is the discount

Sloan [31]

Answer:

20%

Step-by-step explanation:

You do 3 divided by 15 which is 0.2, or 20 percent.

5 0

2 years ago

Solve 2(3-a)=18 for a

Alinara [238K]

Answer:

a=-6

Step-by-step explanation:

2(3-a)=18

3-a=18/2

3-a=9

a=3-9

a=-6

7 0

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

so

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

$(0,0)$

$(2.5,6)$

$(7.5,18)$

$(15,36)$

5 0

2 years ago

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From a bag containing 5 nickels, 8 dimes, and 7 quarters, 5 coins are drawn at random and all at once. What is the probability o

murzikaleks [220]

Answer:

0.13

Step-by-step explanation:

From a bag containing 5 nickels, 8 dimes, and 7 quarters, 5 coins are drawn at random and all at once

we need to select 2 nickels from 5 nickels and select 2 dimes from 8 dimes and 1 quarter from 7 quarters

There are total of 5+8+7=20 coins

select 5 coins from total of 20 coins

2 nickels can be selected from 5 nickels in 5C2 ways

$5C2=\frac{5!}{2!(5-2)!} =\frac{5!}{2!(3!)!}=10$

2 dimes selected from 8 dimes

$8C2=\frac{8!}{2!(8-2)!} =\frac{6!}{2!(6!)}=28$

1 quarter selected from 7 quarter

$7C1=\frac{7!}{1!(7-1)!} =\frac{7!}{1!(6!)}=7$

5 coins selected from 20 coins

$20C5=\frac{20!}{5!(15)!} =15504$

probability of getting 2 nickels, 2 dimes, and 1 quarter

$\frac{10 \cdot 28 \cdot 7}{15504} =\frac{1960}{15504} =0.13$

5 0

2 years ago