Can u put this from least to greatest 0.5 0.45 3/5

What is the answer to y=2x+3 and y=3x+5

Alla [95]

Answer:

(-2,-1)

Step-by-step explanation:

y=2x+3

y=3x+5

so y=y

then:

2x+3=3x+5

3-5= 3x-2x

-2= X

x=-2

3 0

3 years ago

Read 2 more answers

Determine whether quantities vary directly or inversely and find the constant of variation. 16 factory workers made 40 pieces in

Andrei [34K]

Answer:

Part A) $8\ workers$

Part B) $10\ workers$

Part C) $40\ workers$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

x -----> the number of workers

y ----> the number of pieces made

In this problem

The relation between the variables x and y represent a direct variation (proportional variation)

so

For x=16, y=40

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the values

$k=\frac{y}{x}$

$k=\frac{40}{16}\\k=2.5\ \frac{pieces}{worker}$

The linear equation is equal to

$y=2.5x$

Part A) How many workers are needed to make 20 pieces

For y=20 pieces

substitute in the linear equation

$20=2.5x$

$x=8\ workers$

Part B) How many workers are needed to make 25 pieces

For y=25 pieces

substitute in the linear equation

$25=2.5x$

$x=10\ workers$

Part C) How many workers are needed to make 100 pieces

For y=100 pieces

substitute in the linear equation

$100=2.5x$

$x=40\ workers$

3 0

3 years ago

2. You and six friends order three large pizzas for a pizza party. Each large pizza had twelve pieces. There

Veronika [31]

Answer:

5

Step-by-step explanation:

12+12+12= 36

36-7= 29

3+3+3=9

29-9=20

20÷4=5

7 0

3 years ago

The ratio of the number of cups of yellow paint to the number of cups of blue paint that Greg mixed to make a shade of green pai

ziro4ka [17]

Answer:

Part A: A ratio of 2:1 means that he uses 2 cups of yellow paint for each cup of blue paint.

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Part B: The ratio of yellow to blue is 2:1 = 2/1. So, if for 2 yellow is 1 blue, then for 1 yellow is x:

2/1 = 1/x

x = (1*1) / 2

x = 1/2

For each cup of yellow paint, Greg should add 1/2 cup of blue paint.

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Part C: 6 cups cost $54, then 1 cup cost:

54 / 6 = 9

The price per cup of yellow paint is $9.

7 0

3 years ago

An equation for the depreciation of a car is given by y=A(1-r)t where y=current value of the car.A=original cost r=rate of depre

Ann [662]

<h3>Answer: Approximately 6.58 years old</h3>

The more accurate value is 6.57881347896059, which you can round however you need. I picked two decimal places.

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Explanation:

Let's pick a starting value of the car. It doesn't matter what the starting value, but it might help make the problem easier. Let's say A = 1000. Half of that is 1000/2 = 500.

So we want to find out how long it takes for the car's value to go from $1000 to $500 if it depreciates 10% per year.

The value of r is r = 0.10 as its the decimal form of 10%

t is the unknown number of years we want to solve for

---------------------------

y = A(1 - r)^t

500 = 1000(1 - 0.1)^t

500 = 1000(0.9)^t

1000(0.9)^t = 500

0.9^t = 500/1000

0.9^t = 0.5

log( 0.9^t ) = log( 0.5 )

t*log( 0.9 ) = log( 0.5 )

t = log( 0.5 )/log( 0.9 )

t = 6.57881347896059

Note the use of logs to help us isolate the exponent.

6 0

3 years ago