Answer:
The length of 'x' is 4
Step-by-step explanation:
We can use the pythagorean theorem to solve this.
The pythagorean theorem is:
Therefore x = 4
Answer: 9
Step-by-step explanation:
An elf ate 15 of your muffins and that was 5/8 of all of them. To get the number of muffins left goes thus:
We can first calculate the total number of muffins the person had. Let the total number of muffins be y. That means the elf ate 5/8 of y.
5/8 of y = 15
5/8 × y = 15
0.625 × y = 15
0.625y = 15
Divide both side by 0.625
0.625y/0.625 = 15/0.625
y = 24
The total amount of muffins is 24. Since the elf has eaten 15, the amount left will be: 24-15 = 9
Any line can be expressed in the form y=mx+b where m is the slope and b is y intercept.
Two lines can either be parallel ,overlap or meet at one point .Let us look at different cases :
1)When two lines are parallel they do not intersect at any point and hence the system of equations have no solution.
2) When two lines overlap each other then the two lines touch each other at infinite number of points and we say the system of equations have infinite solutions.
3) When two lines intersect each other at one point we say the system of equation has one solution.
Part A:
The given lines are intersecting at one point so we have one solution.
Part B:
The point of intersection is the solution to the system of equations .In the graph the point of intersection of the lines is (4,4)
Solution is (4,4)
Answer:
He can buy <u>3 bracelets</u>.
Step-by-step explanation:
Given:
Mr. Gonzales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each including tax.
Now, to find the number of bracelets he can buy.
Let the number of bracelets he can buy be 
Price of each bracelets = 4.50.
Total amount to spend = 42.50.
Number of t-shirts = 29.
Now, to get the number of bracelets we put an equation:
<em>Subtracting both sides by 29 we get:</em>
<em />
<em />
<em>Dividing both sides by 4.50 we get:</em>
<u>The number of bracelets = 3.</u>
Therefore, he can buy 3 bracelets.
