The diagram is not drawn to scale<br> 20<br> 3x-8<br> Find the value of x to the nearest tenth.

Kevin mowed 12 lawns and earned a total of $60. which rate represents the amount of money earned per lawn?

inna [77]

Answer:

$5 per hour

Step-by-step explanation:

60/12= 5

8 0

3 years ago

Can anyone please help me with this? i need a step by step explanation please! very appreciated:)

EastWind [94]

Answer:

Step-by-step explanation:

x and y are variables. That means they represent numbers that are unknown. When we solve for x or y, we are trying to find what number the variable represents.

Y is a number that equals both 5x-9 and 3x+7. If it is a number, it can only have one value, so we can say that 5x-9 and 3x+7 have the same value.

In other words, 5x-9 = 3x+7.

Another way of thinking about this step is substitution. y=3x+7, so in the equation y=5x-9, we can replace the y with 3x+7. It will give 3x+7 = 5x-9.

In either case, we have this new equation

5x-9 = 3x+7.

From here it's just simple algebra- subtract 3x from each side

2x -9 = 7

and add 9 to each side

2x = 16

and divide each side by 2.

x = 8.

All these steps work because if two things equal each other, when you do the same thing to both of them (such as add 9), the new values will still equal each other.

Now that we know that x = 8, we can take one of the original equations

y=5x-9

and put 8 in for x.

y=5*(8) -9.

If x represents the value 8, we can obviously switch out x for 8.

Now simplify

y=40 -9

y = 31

Now we know that x = 8 and y = 31.

5 0

3 years ago

Read 2 more answers

How do I find 75% of 400

nika2105 [10]

Answer:

divide 400 by 100 and multiply that answer by 75

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

There are 5 red pens, 4 black pens, and 1 blue pen in a box. What is the probability of pulling out a black pen two times in a r

irina [24]

Answer:

D. 4/25

Step-by-step explanation:

To find probability, you multiply 4/10 by 4/10. You should get 16/100, which simplifies to 4/25.

5 0

4 years ago

Read 2 more answers

There were 820 orange buttons in a container. The number of orange buttons was 160 fewer than the number of yellow buttons and 2

denis-greek [22]

Answer: There are 3615 buttons

Step-by-step explanation:

From this situation we can write a system of equations if we tag the orange buttons with $o$ , the yellow buttons with $y$ , the green buttons with $g$ and the blue buttons with $b$ :