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rosijanka [135]
3 years ago
11

Mark and his friends ordered 2 pizzas. The same size

Mathematics
1 answer:
disa [49]3 years ago
5 0
We know that

<span>They cut the first pizza into 6 equal slice---> each slice is 1/6 of a whole pizza

</span><span>They cut the second pizza into 4 equal slices---> each slice is 1/4 of a whole pizza

</span><span>Each person plans to get 2 slices

case 1) one slide pizza 1 and one slide pizza 2
total pizza=(1/6)+(1/4)----> (4+6)/24----> 10/24----> 5/12 of a whole pizza

case 2) two slides pizza 1
total pizza=2*(1/6)-----> 2/6----> multiply by 2-----> (2/2)*2/6---> 4/12 
so
4/12 < 5/12-------> Mark is correct</span>
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CALCULUS RELATED RATES: A 20 foot ladder is leaning against a wall. The base of the ladder is placed 6 feet from the bottom of t
Daniel [21]

Answer:

2.17ft/s

Step-by-step explanation:

Look at the sketch of ladder at the beginning and after 3 seconds it starts to fall,

Distance of ladder from the wall 3 seconds after ladder starts to fall                                       =  Initial distance+  Velocity× time

= 6 + 2×3

= 12ft

Use trignometry to find out the speed of the top of ladder

cosθ= 12/20

θ= 0.825 rad

tan θ= v/2

v= 2.17ft/s

                                                                     

7 0
3 years ago
Ava deposited $3,500 in an account that earned 4.375% interest
Bumek [7]

Answer:

4335.61

Step-by-step explanation:

Using the equation A = P (1 + r/n)^nt

lets fill  in the variables,

P (principal) is 3500.00

r (rate) is .04375  - we do this in decimal form

n (number of times interest is doubled) here it is annually, could be monthly or daily too, but we are told annually, so we use 1

t (time) is 5 years

So:   3500(1+.04375/1) ^ 1(5)

pemdas

parenthesis first 1 +.04375/1 = 1.04375

exponents next 1 x 5 = 5

so now we have 3500 (1.04375) ^5

take 1.04375 to the power of 5 (pemdas) then multiplication

= 3500(1.2387465058)  or

A = 4335.61

This is the same result as calculating simple interest for 5 years but each year calculating off the new Principal amount that includes interest.

3500 x  .04375 = 153.125  or 3653.125   *(year one)

159.82 = 3812.95  

166.82 = 3979.77

174.11 = 4153.88  

181.73 = 4335.61

5 0
2 years ago
5-7 &lt;-3 : what is the simplified form of the inequality below ?
Makovka662 [10]

Answer:

5<4

Step-by-step explanation:

This inequality is not correct though.

5-7+7<-3+7

5<4

7 0
3 years ago
A population of rabbits triples every month.the population starts with two rabbits.how many rabbits are there after 3 month's
Tresset [83]
The answer would be 54. Because you start with 2.
2x3 = 6
6x3 = 18
18x3 = 54
Each month it triples so you continue
to add 3 to each result.
7 0
3 years ago
On the right side, give a reason to justify each step made on the left
cestrela7 [59]

Given that: step 1

3x+12=8x-18

step 2: subtract 3x both side

\begin{gathered} 3x+12-3x=8x-3x-18 \\ 12=5x-18 \end{gathered}

Step 3: Add 18 both side:

\begin{gathered} 12+18=5x-18+18 \\ 30=5x \end{gathered}

Step 4: divide both side by 5

\begin{gathered} \frac{30}{5}=\frac{5x}{5} \\ 6=x \end{gathered}

Step:6 The value of x is:

x=6

8 0
1 year ago
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