Please help me with this D: Tasha believes that she can rewrite the difference 120-36 as a product of the two numbers and another difference. Is she correct? Explain your answer.
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Hope that helped :D
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5x + 10y = 1,750
x + A system of equations. 5 x plus 10 y equals 1,750. StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 100.y = 100
Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered.
How many short-sleeved shirts were ordered?
How many long-sleeved shirts were ordered?
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Answer:
The drama club ordered 150 short-sleeved shirts and 100 long-sleeved shirts
Step-by-step explanation:
1. Let's review all the information provided for answering the questions properly:
5x + 10y = 1,750
1/3x + 1/2y = 100
x = number of short-sleeved shirts ordered
y = number of long-sleeved shirts ordered
Resolving the 1st equation:
5x + 10y = 1,750
5x = 1,750 - 10y
x = 350 - 2y (Dividing by 5 at both sides)
Resolving the 2nd equation:
1/3x + 1/2y = 100
1/3 (350 - 2y) + 1/2y = 100
350/3 -2y/3 + 1/2y = 100
700 - 4y + 3y = 600 (Lowest common denominator = 6)
-y = 600 - 700 (Subtracting 700 at both sides)
y = 100 (Dividing by - 1)
Finding the value of x in the 1st equation:
5x + 10 (100) = 1,750
5x + 1,000 = 1,750
5x = 1,750 - 1,000 (Subtracting 1,000 at both sides)
5x = 750
x = 150 (Dividing by 5)
2. Proving that x = 150 and y = 100 are correct
1/3x + 1/2y = 100
1/3 * 150 + 1/2 * 100 = 100
150/3 + 100/2 = 100
50 + 50 = 100
100 = 100
We proved that x = 150 and y = 100 are correct
Answer:
150 and 100
Step-by-step explanation:
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The numbers in Julian's pattern are composite numbers are 10,24,and 38.
What is composite numbers?
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself.
here, we have,
3,10,17,24,31,38
Now, we get,
because 10 divided by 2 equals 5 so it's composite
because 10 times 1 isn't the only way to get the number 10,
same thing for numbers 24 and 38, 24 divided by 2 equals 12, 24 divided by 3 equals 8,24 divided by 4 equals 6
so it's composite,
and 38 divided by 2 equals 19.
Hence, The numbers in Julian's pattern are composite numbers are 10,24,and 38.
To learn more on composite number click:
#SPJ3
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Answer:
-3 and 3
Step-by-step explanation:
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2/3 is bigger than 1/3......TO CHECK this answer 2/3=66% or .66 and 1/3=33% or .33
Therefore, 2/3(66%) is greater than 1/3(33%)
2/3>1/3
2/3 = .66
1/3 = .33
66 is larger than 33.
Fractons that are bigger than 1/3 are: 2/3 3/3 4/3
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(a - 12)(a + 12) =
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Answer:
Combine like terms, a2−144
Step-by-step explanation: