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
Answer:
LMP and NMP
Step-by-step explanation:
Adjacent angles are next to each other and share a side
LMP and NMP share a side and are next to each other
Answer:JKL and ∠RST are complementary.
m∠JKL = 36° and m∠RST = ( x + 15)°.
Find the value of x and the measure of ∠RST .
complementary angles are two angles whose sum is 90°
36%2Bx+%2B+15=90°
51%2Bx+=90°
x+=90-51°
x+=39°
->the measure of ∠RST== ( 39 + 15)=54°
both answer and explanation
Step-by-step explanation:
Wendy
-20 = x/2 + 7
-20 -7 = x/2 + 7 -7
-27 = x/2
-54 = x
x = -54
because it's math rule
I believe the answer is 90