Answer:
There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets
Step-by-step explanation:
Assume that the number of cartons holding 2 rackets is x and the number of cartons holding 3 rackets is y
∵ There are x cartons of 2 rackets
∵ There are y cartons of 3 rackets
∵ They used 38 cartons
∴ x + y = 38 ⇒ (1)
∵ They packed a total of 100 rackets
∴ 2x + 3y = 100 ⇒ (2)
Let us solve the system of equations
→ Multiply equation (1) by -2 to make the coefficients of x in
the equations equal in values and different is signs
∵ -2(x) + -2(y) = -2(38)
∴ -2x - 2y = -76 ⇒ (3)
→ Add equations (2) and (3)
∴ y = 24
→ Substitute the value of y in equation (1) or (2) to find x
∵ x + 24 = 38
→ Subtract 24 from both sides
∴ x + 24 - 24 = 38 - 24
∴ x = 14
There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets
Chord AB is the diameter of circle O.
Step-by-step explanation:
The law of detachment states that if the following two statements are true;
(i) if p then q
(ii)p
Then the third true statement is;
(iii)q
In this case;
Let
(i) If a chord extends through the center of a circle---- p
(ii)It is the diameter of the circle-----q
Then (i) and (ii) can be written as;
(i) If p then q
(ii) p
Here q is true, Chord AB is the diameter of circle O.
Learn More
Law of detachment :brainly.com/question/11132358
Keywords: law of detachment, statements,true,chord, center of circle,diameter
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The team sold 755 cards.
Explaination:
.40 times 755 equal $302
Answer:
The final price is $361.25
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 425 × 15/100
Discount = 425 x 0.15
You save = $63.75
Final Price = Original Price - Discount
Final Price = 425 - 63.75
Final Price = $361.25
Answer:
We know that lines <em>l</em><em> </em>and <em>m</em><em> </em>are parallel. The alternate interior angles rule states that the alternate interior angles formed by parallel lines are equal. So let's equate them.
2x + 22 = 4x
putting variables on one side,
22 = 4x - 2x
Thus 2x = 22
x becomes 22÷2
Therefore,<u> x = 11.</u>
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