Here's a good rhyming rule to keep in mind.
Zero to four, you get no more.
Five to nine, move up one time.
With this rule you can see that there is a 5 at the end, therefor you should round up. Your number is 720.
There is no solution.
Step-by-step explanation:
Given:
y = 2x + 1
4x - 2y = 4
Substitute y = 2x + 1 into 4x - 2y = 4
4x - 2(2x + 1) = 4
4x - 4x - 2 = 4
0x = 4 + 2
0x = 6
Anything to the multiple of zero is zero. Hence 0x = 0, and 0 ≠ 6
So there is no solution to the equation.
Answer:
Krutika
Step-by-step explanation:
Lets convert each person's typing rate to words/min.
Krutika:
80 minutes = 6000 words
1 minute = (6000/80) words
= 75 words
Typing Rate: 75 words / min
Mark:
60 minutes = 4200 words
1 minute = (4200/60) words
= 70 words
Typing Rate: 70 words / min
David:
90 minutes = 5850 words
1 minute = (5850/90) words
= 65 words
Typing Rate: 65 words / min
From the above, we can see Krutika has the fastest rate of words per minute.
He would need to $189.60 for eight pairs of jeans.
Answer:
Step-by-step explanation:
- x + y + z = -3 --> (1)
- 3y - z = 4 --> (2)
- 2x - y - 2z = -5 --> (3)
<u>Add up (1) and (2)</u>
- x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)
<u>Double (2) and subtract from (3)</u>
- 2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
- 2x - 7y = -13 --> (5)
<u>Double (4) and subtract (5)</u>
- 2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1
<u>Finding x</u>
- x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3
<u>Finding z</u>
<u>So the answer is: </u>