Answer:
2. Cecilia uses 3 cups of flour for 36 cookies
4. Cecilia is making 3/4 of the original recipe
Step-by-step explanation:
Recipe for 48 cookies
Flour = 4 cups
Sugar = 1 1/3 cups
Recipe for 36 cookies
48 cookies : 36 cookies
= 4 : 3
Flour used in 36 cookies = x cups
Flour used in 48 cookies = 4 cups
4 cups : x cups
4 : 3 = 4 : x
4/3 = 4/x
4*x = 3*4
4x = 12
x = 12/4
x = 3 cups
Sugar = 1 1/3 cups
Sugar used in 36 cookies = y cups
Sugar used in 48 cookies = 1 1/3 cups
4 : 3 = 1 1/3 : y
4/3 = 4/3 ÷ y
4/3 = 4/3 × 1/y
4/3 = 4/3y
4*3y = 3*3
12y = 9
y = 9/12
= 3/4
y = 3/4
The true statement are:
2. Cecilia uses 3 cups of flour for 36 cookies
4. Cecilia is making 3/4 of the original recipe
Let's have the first number, the larger number, be <em>x</em>. We'll have the second, smaller number be <em>y</em>.
We know that x = y + 6, since x is 6 greater than y.
We also know that 330 = x + y.
Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.
Now all we need to do is simplify the equation. First, we subtract 6 from both sides:
330 - 6 = 324
2y + 6 - 6 = 2y.
So we have 324 = 2y. Then we divide both sides by 2 to get:
162 = y
Plug in y = 162 into the equation x = y + 6 to get:
x = 162 + 6
x = 168
Let's check to make sure our answer is right. 168 is 6 more than 162. 162 + 168 equals 330. So our two numbers are 168 and 162.
Answer:
An official playing field (including end zones) for the Indoor Football League has a length 29 yd longer than its width. The perimeter of the rectangular field is 158 yd. Find the length and width of the field
Step-by-step explanation:
When y=-15, x=-20. So subtract x from y, you will get that y= 0 and x=-5. Add 12 to both and you have your answer, x=7 and y=12
Answer:
(a) There are outliers
(b) 
and 
Step-by-step explanation:
Given
Solving (a): Check for outliers
This is calculated using:
--- lower bound of outlier
--- upper bound of outlier
Where
So, we have:
The lower bound of outlier becomes
The upper bound of outlier becomes
So, we have:
--- the range without outlier
Given that:
--- This represents the lowest data
--- This represents the highest data
-24 and 64 are out of range of .
Hence, there are outliers
Solving (b): The outliers
The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)
So, the outliers are:
and
