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irina [24]
3 years ago
7

-5(x - 1) greater than -40

Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer:

x < 9  

Step-by-step explanation:

Writing this entirely with symbols, we get:

-5(x - 1) > -40

We must solve for x.  

Carrying out the multiplication, we get:

-5x + 5 > -40, or

-5x > -45

Dividing both sides by -5 isolates x:

x < 9  

Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.

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Identify the range of the function. A) (2, 8) B) [2, 8] C) (−5, 9) D) [−5, 9]
Ivanshal [37]

Answer:

The answer is "Option A"

Step-by-step explanation:

The domain is the collection of the value, which belongs to the separate variable (horizontal axis). So, to find a region with a graph, it must search for the function, which starts and end. And at all these levels we are searching at x-values.  

Its starting point is (2,9) and the ending point is (8,3).  Therefore, x= 2 to x=8 is the domain.

5 0
3 years ago
Hailey sold 20 tickets to the school play for a total of 225$.Early bird tickets were 10$ and regular priced tickets were 15$.Wr
dlinn [17]

Answer:

The system of equation are \left \{ x+y=20} \atop {10x+15y=225}} \right.

The number of early bird tickets are <u>15</u> and of regular tickets are <u>5</u>.

Step-by-step explanation:

Given,

Total number of tickets = 20

Total amount = $225

Solution,

Let the number of early bird tickets be 'x'.

And also let the number of regular tickets be 'y'.

Now total number of tickets is the sum of number of early bird tickets and number of regular tickets.

So framing in equation form, we get;

Total number of tickets = number of early bird tickets + number of regular tickets

x+y=20\ \ \ \ equation\ 1

Again, Total amount is the sum of number of early bird tickets multiplied with price of each ticket and number of regular tickets multiplied with price of each ticket.

So framing in equation form, we get;

10x+15y=225\ \ \ \ \ equation\ 2

Hence the system of equation are \left \{ x+y=20} \atop {10x+15y=225}} \right.

Now we solve the equation by multiplying equation 1 by 10, and get;

10(x+y)=20\times10\\\\10x+10y=200\ \ \ \ equation\ 3

Now subtracting equation 3 from equation 2, we get;

(10x+15y)-(10x+10y)=225-200\\\\10x+15y-10x-10y=25\\\\5y=25\\\\y=\frac{25}{5}=5

On substituting the value of 'y' in equation 1, we get;

x+y=20\\\\x+5=20\\\\x=20-5=15

Hence The number of early bird tickets are <u>15</u> and of regular tickets are <u>5</u>.

3 0
2 years ago
I have 5 apples. I took 1 of it. How many apples do I have left?
yaroslaw [1]

You have 4 apples left.

4 0
2 years ago
Determine whether the given value of the variable is a solution of the equation
alex41 [277]
X - 24 = 58.....x = 82
sub
82 - 24 = 58
58 = 58....correct......so 82 is a solution for x
4 0
2 years ago
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An airplane takes off with a full tank of 40,000 gallons of fuel and flies at an average speed of 550 miles per hour. After 8 ho
vivado [14]
The answer is 9,235 because 14,000 - 4,875 is 9,235
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3 years ago
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