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Paladinen [302]
3 years ago
12

A pencil at a stationery store costs $1, and a pen costs $1.50. Stefan spent $7 at the store. He bought a total of 6 items. Whic

h system of equations can be used to find the number of pencils (x) and pens (y) he bought?
Mathematics
2 answers:
Elena-2011 [213]3 years ago
7 0
Let pencil represent x
pen represent y
Next, we have this two equation:
x+1.5y=7
x+y=6
Then, I will use substitution to find the value of x and y:
x+1.5y=7
-
x+y=6
=
0.5y=1
y=2 pens
x+y=6
x+2=6
Subtract 2 for both side
x+2-2=6-2
x=4 pencils
Check:
x+y=6 items
4+2=6 items Right

x+1.5y=7
4+1.5(2)=$7
$4+$3=$7
$7=$7
As a result, there are 4 pencils , and 2 pens. Hope it help!
Nina [5.8K]3 years ago
4 0
Y= # of pencils 
z= # of pens
1y + 1.50z = 7
Total # of pencils and pens combined equals 6 
4 pencils = $4
2 pens = $3 
$4 + $3 = $7 
4 pencils + 2 pens = 6 items total
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3 years ago
In the diagram below, P and Q are points on a circle with centre O.
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Answer:

<h2>∠PQT = 72°</h2>

Step-by-step explanation:

According to the diagram shown, ∠OPQ = ∠OQP = 18°. If PQT is a tangent to the circle, it can be inferred that line OQ is perpendicular to line QT. Ths shows that ∠OQT = 90°.

Also from the diagram, ∠OQP + ∠PQT = ∠OQT;

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Given ∠OQP = 18° and ∠OQT = 90°

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∠PQT = 72°

8 0
3 years ago
How many times larger is 70 than 7
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4 0
3 years ago
What is the cost of 4 1/5 yards of fabric at $7.95 per yard?
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Answer:

the total cost for 4 1/5 yds of fabric would be $33.39.

Step-by-step explanation:

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Pleaseeeee help me!!!!! i’ll appreciate it so much!
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Answer:

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3 years ago
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