The cost of one ruler is $0.70
<h3>Applications of simultaneous equations </h3>
From the question, we are to determine the cost of one ruler
Let x represent the cost of a ruler
and
y represent the cost of a pen
From the given information, we can write that
y + x = $2.10 ----------- (1)
2y + 3x = $4.90 ----- (2)
From equation (1),
y + x = $2.10
Then,
y = $2.10 - x
Substitute this into equation (2)
2y + 3x = $4.90
2($2.10 - x) + 3x = $4.90
$4.20 - 2x + 3x = $4.90
$4.20 +x = $4.90
x = $4.90 - $4.20
x = $0.70
Hence, the cost of one ruler is $0.70
Learn more on Simultaneous equations here: brainly.com/question/26310043
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Least common denominator of those two fractions is 15
Because 15 cant go any less
3 × 1 = 3 15 × 1 = 15
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12
3 × 5 = 15
Answer:
32 (degrees)
Step-by-step explanation:
Triangles AED and ACB share a common angle A.
Two of the corresponding sides have the same ratio: AB=AD+DB=2AD, AC=AE+EC=2AE
Therefore the triangles are similar.
Therefore the corresponding angles are congruent, in particular
∠AED ≅ ∠ACB
∠ECF is just another name for ∠ACB
∠AED ≅ ∠ECF
So their measures must be the same,
m∠AED = m∠ECF = 32°
Answer:
3 -12i
Step-by-step explanation:
(-6-8i)-(-9+4i)
distribute the minus sign
-6 -8i +9 -4i
combine like terms
-6+9 -8i -4i
3 -12i
C = 3
You isolate the variable by dividing each side by factors that don’t contain the variable
