Answer:
the screen is really blurry sorry bout that
Step-by-step explanation:
Let's begin by breaking each number down into its prime factors: 4 = 2 x 2 5 = 5 6 = 2 x 3 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4, 5, and 6 by multiplying all common and unique prime factors of each number: common prime factors: 2 unique prime factors: 2,5,3 LCM = 2 x 2 x 5 x 3 = 60 Next, let's determine how many times 60 goes into 10,000 (excluding remainder): 10,000/60 = 166 and 2/3 Multiples of ALL 3 numbers (4,5,6) = 166 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4 and 5 by multiplying all common and unique prime factors of each number: common prime factors: none
unique prime factors: 2 x 2 x 5
LCM = 2 x 2 x 5 = 20 Next, let's determine how many times 20 goes into 10,000:
10,000/20 = 500
Multiples of BOTH numbers (4 and 5) = 500 Finally, let's subtract the multiples of ALL three numbers (4,5,6) from the multiples of BOTH numbers (4 and 5) to get our answer: Multiples of ONLY numbers 4 and 5 (excluding 6): 500 - 166 = <span>334</span>
Answer:
14 pints of 20% juice
56 pints of 95% juice
Step-by-step explanation:
Let
x be pints of 20% pure fruit juice, thus
70 - x will be pints of 95% pure fruit juice
The equation, thus can be written as:
20%x + 95% (70-x) = 80% (70)
Solving for x:
And 70 - x would be 70 - 14 = 56
Thus,
14 pints of 20% juice is needed, and
56 pints of 95% juice is needed
Answer:
Median is the middle line of the box, Lower quartile is the number of the lower end of the box, Upper quartile is the line at the larger end of the box, Maximum is the largest number in the box plot (end of right whisker), Minimum is the lowest number (end of left whisker).
Step-by-step explanation:
32.
Median: 88
Maximum (largest number): 102
Minimum (lowest number): 38
Interquartile range:
96 - 72 = 24
b.
25 % higher
75 % lower?
c.
You can see the range is more towards the right of the box meaning they have higher scores, and that the median or middle is a higher number so it means that most of the students understood and did well on the test.
???.
First quartile: 16
Second: 19
Third: 20
Range: 4
34. Since they are already in least to greatest order, all we have to do is graph it!
85 - 99 is 2
100 - 114 is 1
115 - 129 is 5
130 - 144 is 6
Y = 4x + 4
-8x + 3y = 5
-8x + 3(4x + 4) = 5
-8x + 12x + 12 = 5
-8x + 12x = 5 - 12
4x = -7
x = -7/4
y = 4x + 4
y = 4(-7/4) + 4
y = -7 + 4
y = -3
solution is (-7/4,-3)
