-2x+14 is the same as 14 - 2x
Let's say you started off with $14. If you want to buy a soda worth $2, then you have 14-2 = 12 dollars left. If you buy two sodas, then you spend 2*2 = 4 dollars with 14-4 = 10 dollars left.
In general, buying x sodas will cost you 2*x dollars and you have 14 - 2x dollars left over. The x is simply a placeholder for a whole number. For example, if x = 3, then...
14 - 2x = 14 - 2*3 = 14 - 6 = 8
meaning buying 3 sodas cost you $6 and you have $8 left over.
If y is the amount left over, then we can say y = 14 - 2x which is equivalent to y = -2x+14
note: graphing this equation will go through the two points (0,14) and (7,0) as shown in the image below. A graph is handy to help see various points on the line. Each point represents the amount of sodas you can buy (x) and the amount left over in your pocket (y). Keep in mind that neither x nor y can be negative, so it only makes sense to restrict the graph.
Let us assume the number of children attending the movie = x
Let us also assume the number of adults attending the movie = y
Cost of admission for a children in the movie = $8
Cost of admission of an adult in the movie = $12
Number of people going to the movie on a certain day = 3200
Total amount collected from the movie theater = $33040
Then
x + y = 3200
And
8x + 12y = 33040
2x + 3y = 8260
Let us first take the equation
x + y = 3200
x = 3200 - y
Now we will put the value of x in the equation
2x + 3y = 8260
2(3200 - y) + 3y = 8260
6400 - 2y + 3y = 8260
y = 8260 - 6400
= 1860
Now we will put the value of y from the above deduction in the equation
x + y = 3200
x + 1860 = 3200
x = 3200 - 1860
= 1340
So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.
Hello! First, let's get some important information:
Luke works in the:
- week → grocery store → $16/hour
- weekend → nursery → $22/hour
Now, let's analyze the questions:
<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>
To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:
<h3>b) How much does he earn if he works g hours at the grocery store and n hours at the nursery?</h3>
<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>
You'll just have to just add the value in each of the jobs:
$80 + $176 = $256
<h3>d) Total pay, g hours at the grocery store and n hours at the nursery:</h3>
Adding the values of each job:
$16g + $22n
Hope this helps!
Answer: Carbon
Step-by-step explanation:
Carbon is considered to be the building block of all living things as it is very important in the formation of compounds that are needed by living things to survive such as Carbohydrates and Protein and many more.
This is down to its ability to form stable compounds with other elements such as Hydrogen and oxygen both of which are present in Carbohydrates and Proteins.
Carbon exists in the Earth's crust as Carbonates in water, rocks, petroleum and living things as well especially plants and trees which release a significant amount if they are cut down.
Answer:
arc PQ = 124°
Step-by-step explanation:
The inscribed angle PRQ is half the measure of its intercepted arc PQ, so
arc PQ = 2 × 62° = 124°
