Answer:
D
Step-by-step explanation:
Using process of elimination we know that it cannot be a,b or c because after you add the 2 new stamps james collected the ratio is 8:12 which cannot be 1:2 because 8 is not half, can't be B because 8 is less than 12, Also cannot be C because 8 is less than 12
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:
Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Age, in years. The vertical axis is labeled Number of pages read. Points are plotted at (eight, thirty-two), (eight, thirty-four), (eight, thirty-six), (eight, thirty-eight), (nine, thirty-two), (nine, thirty-four), (nine, thirty-six), (nine, thirty-eight), (ten, thirty-four), (ten, thirty-six), (ten, thirty-eight), (eleven, forty-two), (twelve, forty-four), (thirteen, fifty), (thirteen, fifty-two), (fourteen, forty-six), (fifteen, fifty-four), (sixteen, fifty-eight), (seventeen, fifty-eight), (seventeen, seventy-two).
Answer:
The outlier would be the one with (17, 72) coordinates. If interpreted, the child is 17 years old and the number of pages the child reads in a week is 72. He appeared the outlier because his data was too far from the pattern of data relative to the sample
Step-by-step explanation:
Final price of the backpack (not including tax) = $16.74
Given that
Initial cost of backpack = $24.80
First Discount = 25% off Initial Cost =$ = $ 6.2
So modified price = 24.80 - 6.2 = $18.6
Also Harold has a coupon with 10% on the modified price.
so we can write 10% of $18.6 = $ 1.86
so we can write the final price for the backpack = 18.6 - 1.86 = $16.74
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