Answer:
- <u>120 pens and 200 pencils.</u>
<u></u>
Explanation:
You can set a system of two equations.
<u>1. Variables</u>
<u />
- x: number of pens
- y: number of pencils
<u>2. Cost</u>
- <em>each pen costs</em> $1, then x pens costs: x
- <em>each pencil costs</em> $0.5, then y pencil costs: 0.5y
- Then, the total cost is: x + 0.5y
- The cost of the whole purchase was $ 220, then the first equation is:
x + 0.5y = 220 ↔ equation (1)
<u>3. </u><em><u>There were 80 more pencils than pens</u></em>
Then:
pencils = 80 + pens
↓ ↓
y = 80 + x ↔ equation (2)
<u>4. Solve the system</u>
i) Substitute the equation (2) into the equation (1):
ii) Solve
iii) Substitute x = 120 into the equation (2)
Solution: 120 pens and 200 pencils ← answer
Step-by-step explanation:
The answer of the question number 1 is b
The answer of the question number 2 is also c
The answer of the question number 3 is b
The answer of the question number 4 is a
Answer:
Option A. 4, 4.5, 5, 5.5
Step-by-step explanation:
Left point: a=x=4
Right point: b=x=6
Range: r=b-a→r=6-4→r=2
Width of each of the four equal intervals: w=2/4→w=0.5
The first left endpoint is x1=a→x1=4
The second left endpoint is x2=x1+w→x2=4+0.5→x2=4.5
The third left endpoint is x3=x2+w→x3=4.5+0.5→x3=5
The fourth left endpoint is x4=x3+w→x4=5+0.5→x4=5.5
Then, the list is: x1, x2, x3, x4 = 4, 4.5, 5, 5.5
Answer:
8 pounds(lbs)
Step-by-step explanation:
If a candy costs $7 per pound, $56 divided by $7 will equal 8 pounds.
It is prime because nothing equals it other than 5x1
