10 pounds of rice are distributed equally into 6 bags to give out at the food bank. how many pounds of rice are in each bag

If -5x-8 =-18, is x = -2 a solution? show your work

DaniilM [7]

-5x - 8 = -18
-5x - 8 + 8 = -18 + 8
-5x = -10
-5x / (-5) = -10 / (-5)
x = 2

7 0

3 years ago

An Ontario lottery has the following structure, the first person drawn from the names wins $15 000. Each subsequent person drawn

elixir [45]

The first four terms are : 15000, 14850, 14700, 14550
a = 15000 ; d = -150
The explicit formula is : $a_{n} = - 150n \: + 15150$

The first term of the sequence, a = 15,000

Each subsequent winner gets $150 less

Hence, the common difference, d = - $150

The first four terms :

First term, a1 = $15000

Second term, a2 = a - d = $15000 - $150 = $14850

Third term, a3 = a2 - d = $14850 - $150 = $14700

Fourth term, a4 = a3 - d = $14700 - $150 = $14550

a, for the sequence is the first term = $15000

d, for the sequence is the common $150 (difference between successive wins).

Explicit formula for the general term :

$a_{n} \: = nd \: + c$

For n = 1

$15000 = 1( - 150) + c$

$15000 = - 150 + c$

$c = 15150$

Hence, the explicit formula for the nth term is :

$a_{n} \: = - 150n \: + 15150$

Learn more : brainly.com/question/12006170

3 0

3 years ago

Triangle with sides of 8.2cm,3.9cm,and 4.5cm.<br>What is the perimeter?

just olya [345]

Answer:Perimeter is the measurement all around the shape. So, to do this we wolud need to add this measurments together

Step-by-step explanation:

8.2+3.9=12.1

12.1+4.5=16.6

Answer:16.6cm

8 0

3 years ago

sarosh receives 8% commission on the final price of the clothing he sells . a customer bought a $45.00 coat the was marked 20% o

BartSMP [9]

Answer:

$8.2

Step-by-step explanation:

The final price of the coat = $45 -0.2 * $45 = $36

The final price of the suit = $95 − 0.3 * $95 = $66.5

sarosh's commission = 0.08 * ( $36 + $66 ) = $8.2

5 0

3 years ago

Write a linear equation that represents the cost of buying t-shirts from Paula's printing. identify the meaning of each variable

g100num [7]

Answer:

Part 1) $y=x+21.5$

Part 2) $y=x+18$

Step-by-step explanation:

Part 1) Write a linear equation that represents the cost of buying t-shirts from Paula's printing.

Let

x ----> the number of t-shirts

y ----> the cost in dollars

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the table

(2,23.5) and (4,25.5)

substitute in the formula

$m=\frac{25.5-23.5}{4-2}$

$m=\frac{2}{2}=1$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1$

$(x1,y1)=(2,23.5)$

substitute

$y-23.5=(1)(x-2)$

Convert to slope intercept form

$y=mx+b$

$y=x-2+23.5$

$y=x+21.5$

Part 2) Write a linear equation that represents the cost of buying t-shirts from Shantay's shirts.

Let

x ----> the number of t-shirts

y ----> the cost in dollars

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the table

(2,20) and (4,22)

substitute in the formula

$m=\frac{22-20}{4-2}$

$m=\frac{2}{2}=1$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1$

$(x1,y1)=(2,20)$

substitute

$y-20=(1)(x-2)$

Convert to slope intercept form

$y=mx+b$

$y=x-2+20$

$y=x+18$

6 0

3 years ago