Answer:
Conversion a mixed number 16 3
8
to a improper fraction: 16 3/8 = 16 3
8
= 16 · 8 + 3
8
= 128 + 3
8
= 131
8
To find new numerator:
a) Multiply the whole number 16 by the denominator 8. Whole number 16 equally 16 * 8
8
= 128
8
b) Add the answer from previous step 128 to the numerator 3. New numerator is 128 + 3 = 131
c) Write previous answer (new numerator 131) over the denominator 8.
Sixteen and three eighths is one hundred thirty-one eighths
Conversion a mixed number 9 5
8
to a improper fraction: 9 5/8 = 9 5
8
= 9 · 8 + 5
8
= 72 + 5
8
= 77
8
To find new numerator:
a) Multiply the whole number 9 by the denominator 8. Whole number 9 equally 9 * 8
8
= 72
8
b) Add the answer from previous step 72 to the numerator 5. New numerator is 72 + 5 = 77
c) Write previous answer (new numerator 77) over the denominator 8.
Nine and five eighths is seventy-seven eighths
Subtract: 131
8
- 77
8
= 131 - 77
8
= 54
8
= 2 · 27
2 · 4
= 27
4
The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 8) = 8. Cancelling by a common factor of 2 gives 27
4
.
In words - one hundred thirty-one eighths minus seventy-seven eighths = twenty-seven quarters.
Step-by-step explanation:
Answer: The probability is 1/8
Explanation:
Probability is a ratio of the number of relevant outcomes and total number of possible outcomes.
We are flipping the coin three times.
The number of relevant outcomes is 1 (one triple {Head, Head, Tail})
The number of all possible outcomes is the product of 2 possibilities (Head or Tail) on first toss, times another 2 on second, times another 2 on third, so 2^3 = 8.
The probability P = 1/8
You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
=========================================
The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
Answer:
<em>You can chose 3 in 5</em><em> :o</em>
Step-by-step explanation:
<em></em>
Answer:
Amount of flour in the bag when Mary began = 
Step-by-step explanation:
Given:
Number of baked loaves of bread made from flour = 4
Number of muffins made from flour = 48
To find: Amount of flour in the bag when Mary began
Solution:
Let x denotes amount of flour used to make one baked loave of bread and y denotes amount of flour used to make one muffin.
So,
Amount of flour used to make 4 baked loaves of bread = 4 x
Amount of flour used to make 48 muffins = 48 y
Amount of flour in the bag when Mary began =
