Answer:
PR = 3.2
Step-by-step explanation:
We can use proportions to solve this problem. Put the first triangle side over the second triangle side.
BC AC
-------- = ----------
QR PR
Substituting in values
10 8
-------- = ----------
4 PR
Using cross products
10 PR = 8*4
10 PR = 32
Divide by 10
10 PR/10 = 32/10
PR = 3.2
Answer:
The balance in her lunch account at the end of the day on Friday is -$1.15.
Step-by-step explanation:
The balance at the end of the week will be the result of adding up the initial balance with the amount deposited on Monday minus the total amount spent that week.
Initial balance=$2.60
Amount deposited on Monday=$20
Total amount spent that week=$4.75*5=$23.75
Balance=$2.60+$20-$23.75
Balance=$22.60-$23.75
Balance=-$1.15
According to this, the answer is that the balance in her lunch account at the end of the day on Friday is -$1.15.
Answer: 2
Step-by-step explanation:
Answer:
3 and 5/12
Step-by-step explanation:
To find how much flour you need, subtract how much sugar you need from how much total you need of sugar and flower. To do this, turn both numbers into improper fractions. This means 3 and 2/3 turns into 11/3 as there are 3 thirds per whole, and there are three wholes plus the 2 thirds, equaling 11/3. The 1/4 is already an improper fraction, so you can move on.
Now you just covert them to have the same denominator by multiply 11/3 by 4 on top and bottom and 1/4 by 3 on both the top and bottom to get 44/12 and 3/12. Now you just subtract 44/12-3/12 and get 41/12. Made into a mixed number that is 3 and 5/12.
Standard form for quadratic equations is:
0 = ax² + bx + c
To make Alessandro's first equation in standard form, you must make the constant on the left side of the equation 0.
To do this, we should add 6 to each side to cancel out the -6 on the left side of the equation, making its value 0.
Alessandro's new equation is:
-6 + 6 = x² + 4x - 1 + 6
If we simplify this equation, we get:
0 = x² + 4x + 5
Therefore, knowing that the equation above is in the form ax² + bx + c, we can determine that the value of c in Alessandro's new equation is 5.