The correct solution is: x < 32 or x > 41
and the graph is attached.
Explanation:
The inequality to convert the degrees Celsius to Fahrenheit would be:
x < 9/5(0)+32 or x > 9/5(5)+32
Simplifying this, we have:
x < 0+32 or x > 45/5 + 32
x < 32 or x > 9+32
x < 32 or x > 41
To graph this, we start with a number line (in this case, from 30 to 45).
We graph an open dot at 32 and 41; the dots are open because these are not included in the solution. She wants to know when the temperature is less than 32 or greater than 41, not equal to.
From 32, we graph the line to the left, because it is less than.
From 41, we graph the line to the right, because it is greater than.
Answer:
1. (a) a+b=86
2. (c) 5.99a+9.99b≤600
Step-by-step explanation:
1.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Gary is buying a memory sticks for each of the 86 teachers. Therefore the total sum of both 16gb and 32gb memory sticks should equal 86:
a+b=86
2.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Each 16gb memory stick cost $5.99, and each 32gb one costs $9.99. Therefore...
5.99a = total cost of 16gb memory sticks
9.99b = total cost of 32gb memory sticks
Gary has to spent an amount less than or equal to $600. Therefore, the total sum of the costs of both 16gb and 32gb memory sticks should be less than or equal to 600:
5.99a+9.99b≤600
Answer:
Yes
Step-by-step explanation:
To form a triangle : The sum of any two side lengths must be bigger than then the third side length and their difference smaller than the third side length.
19.6 + 1.6 > 18.7
19.6 - 1.6 < 18.7 and so on.
Answer: $27.35
Step-by-step explanation:
First let's find the variables.We will use x to represent the number of subscription sold and y we will represent the amount of money you will get paid.
So we know that , if you sell One You will get $1.25 so we could represent it by the point (1,1.25) .
Now the second statement says that if you sell an additional subscription you will get an additional 15 cents or $0.15.Which means if you sell the second subscription, you will get $1.40 because it is an additional 15 cents. We can also represent that by the point (2,1.40)
Now using the two points come up with an equation.
(1,1.25)
(2,1.40) Find the slope and y intercept.
TO find the slope find the difference between y and divide it by the difference in x.
1.25 - 1.40 = 0.15
1 - 2 = 1
0.15/ 1 = 0.15 So the slope is 0.15
Now use the point to find the y intercept. using the y-intercept formula,
y = mx + b
1.25 = 0.15(1) + b
1.25 = 0.15 + b
-0.15 0.15
b = 1.1
We can now write the equation y = 0.15x + 1.1 to represent the whole situation where x is still the number of subscriptions sold and y is the money you will get paid. Now to find how much you will earn for 175 subscriptions, you will input 175 for x and solve for y.
y = 0.15(175) + 1.1
y = 26.25 + 1.1
y = 27.35
So you will earn $27.35 for 175 subscriptions