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?
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:
Answer:
-6 and positive 1
Step-by-step explanation:
10) How many grams are there in 3.30 x 10^23molecules of N216?
3
The number of grams in the given sample is 434.5 g.
Molar mass is the mass equivalent of Avogadro's number of atoms of an element, or Avogadro's number of molecules of in a chemical compound.
Given:
The number of molecules in the sample of N₂I₆ = 3.30 X 10²³
We need to find: the number of grams in the given sample,
One mole of a substance has exactly 6.022 X 10²³ elemental units. These elemental units can be molecules, ions, or atoms depending on the substance.
If 6.022 X 10²³ molecules of N₂I₆ constitute 1 mole of the substance,
Then 1 molecule will constitute 1/6.022 X 10²³ moles of the substance.
Therefore, 3.30 X 10²³ molecules of N₂I₆ will have 3.30 X 10²³ / 6.022 X 10²³ moles
= 3.300 / 6.022
= 0.55 moles
We know that the mass of 1 mole of a substance is equal to its molar mass.
The molar mass of N₂I₆ = 2 X Molar mass of N + 6 X Molar mass of I
= 2 X 14 + 6 X 127
= 28 + 762
= 790 g
Thus, 1 mole of N₂I₆ will weigh 790g
Therefore, 0.55 moles will weigh 790 X 0.55 g
= 434.5 g
Hence, the number of grams in the given sample is 434.5 g.
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Answer:
433g
Step-by-step explanation:
3.3x10^23 ,olecules x lmol/ na molecules x 789.44,/ mol = 433g
The markup price at which Emerson is selling is $34.45.
A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Emerson is starting a new business. The product costs her $26.50.
She decides to mark the product up 30%.
∴ Her markup price will be 130% of $26.50, which is,
= (130/100)×$26.50.
= $34.45
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