Answer:
a.(x)=7
b.(x)=14
Step-by-step explanation:
plz mark me as brainliest
Answer:
x= 2
Step-by-step explanation:
Given that,
AB = 7.5x
BC = 6x+3
AC = 10x-5
ΔABC is an equilateral triangle.For an equilateral triangle, all sides are equal. ATQ,
AC = BC = AB
10x-5 = 6x+3
Taking like terms together
10x-6x = 5+3
4x = 8
x = 2
Hence, the value of x is equal to 2.
Answer:
depends on how much each thing costs
Step-by-step explanation:
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
