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trapecia [35]
3 years ago
10

A turtle is 20 5/6 inches below the surface of a pond. It dives to a depth of 32 1/4 inches. What is the change in the turtle’s

position? Write your answer as a mixed number.
Mathematics
1 answer:
Naddik [55]3 years ago
5 0
Change=new-original
change=32 and 1/4-20 and 5/6
32 and 1/4-20 and 5/6=
32+1/4-(20+5/6)=
32+1/4-20-5/6=
32-20+1/4-5/6=
1/4 and 5/6
LCD=12
1/4 times 3/3=3/12
5/6 times 2/2=10/12

32-10+3/12-10/12=
12-7/12=
11+12/12-7/12=
11+5/12
the turtle went down so the change is negative

the change is -11 and 5/12 inches
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Answer:

y = 3x - 16

Step-by-step explanation:

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3 0
3 years ago
Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 mi
tensa zangetsu [6.8K]
Short Answer: 18 minutes
Remark

The answer to this problem is less than the smallest time of the two people working together. that fact lets out C and D (38 minutes and 75 minutes). Now you have to choose 15 minutes and 18 minutes. There's a method. No guessing needed.

Givens
Let the time for Sophie = S
Let the time for Simon = M
Let the job to completion = 1 
S = 45 minutes
M = 30 minutes

Step One
Convert minutes to hours.
45 minutes = 45 / 60 = 3/4 hour = 0.75 hour
30 minutes = 30 / 60 = 1/2 hour = 0.50 hour

Step Two
Set up the Equation
The formula is a form of job / hour.
Let the time = t that they both have to work

job = 1 in these problems.
1/S + 1/M = 1/t
1/0.75 + 1/0.5 = 1/t

Solve
1 ÷ 0.75 = 1.33333
1 ÷ 0.5 = 2

1.3333 + 2 = 3.33333 
3.3333 = 1 / t                    Multlply both sides by t
3.3333*t = 1
t = 1 / 3.333333333
t = 0.3 of an hour


1 hour = 60 minutes
0.3 hours = x              Cross Multiply
x = 60 * 0.3
x = 18 minutes

Answer working together it took them 18 minutes  <<<<< 
6 0
3 years ago
Read 2 more answers
Find an equation for the plane through the points p=(0,0,0), q=(0,1,0), and r=(1,2,3)
jek_recluse [69]
Hello,

Assume Ax+By+Cz+D=0 the plane 's equation.

p=(0,0,0)==>A*0+B*0+C*0+D=0==>D=0

q=(0,1,0)==>A*0+B*1+C*0+0=0==>B=0

r=(1,2,3)==>A*1+0*2+C*3+0=0==>A=-3C
Let C=1==>A=-3

An equation of the plane is -3x+z=0


6 0
3 years ago
What is the slope of a line that is perpendicular to the graph of y=-3x?
lutik1710 [3]
<span>y=-3x has slope = -3
</span><span>
perpendicular lines, slope is opposite and reciprocal
so slope of </span>perpendicular  = 1/3

answer
1/3
5 0
3 years ago
Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the House blend
TiliK225 [7]

The ratio House blend/Organic Free Trade blend is the same and must remain the same.

So, the proportion is:

\frac{140}{168}=\frac{130}{x}

Where x is the unknown amount of the Organic Free Trade blend.

So, from the proportion, we have:

\begin{gathered} 140\cdot x=168\cdot130 \\ 140x=21840 \\ \frac{140x}{140}=\frac{21840}{140} \\ x=156 \end{gathered}

Answer: 156 pounds of Organic Free Trade blend

6 0
1 year ago
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