Suppose she cut the cake into 8 equal pieces and 6 people are all the pieces .Explain how they could have divided the pieces so that everyone ate the same amount of cake.

Answers

Answer 1

Answer: Ok. Because there are 6 people and 8 pieces. So 6 people have 1 slice each. The other 2 pieces.
The other 2 pieces have to divide both pieces into 3 hat way everyone has a pieces
Every one will have 1 1/3 pieces.

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A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?

Answers

In this question weight of a flea and an ant is given, but their units are different. So comparing and finding out the weight of flea and ant would be difficult. First thing that needs to be done is to bring the units of both the flea and the ant under same unit.
Weight of flea = 8 decigrams
Weight of ant = 3 milligrams.
Now let us convert the weight of the flea from decigrams to milligrams.
We already know that
1 decigram = 100 milligram
Then
8 decigrams = 100 * 8 milligrams
= 800 milligrams
Then
The weight by which the flea is greater than the ant = (800 - 3) milligrams
= 797 milligrams.
So the flea weighs 797 milligrams more than the ant.

Answer:

797 milligrams

Step-by-step explanation:

Explain how you can tell 2pi > Srt of 35 without finding the decimal number estimate of either number.

Answers

Answer:

Step-by-step explanation:

it should be clear 2pi > 6.

Also, sqrt(35) < 6 because 6x6=36.

So, 2pi > 6 > sqrt(35)

Thus 2pi > sqrt(35)

What is 42 increased by 50%

Answers

Number = 42
Percent increase = 50%
Increase in number = 50% of 42 = 50/100 × 42 =21
So, increased number = 42+21 = 63

what is 18/5 as a fraction and as a decimal?

Answers

Decimal: 3.6
Fraction: 18/5 or 3&3/5

As a decimal it is 3.6
while asa mixed fraction it is 3 3/5

Ron bought 8 pencils and 2 erasers for $1.66. Sarah bought 12 pencils and 5 erasers for $3.19. What is the cost for 1 pencil and 1 eraser?

Answers

p=price of 1 pencil
e=price of 1 eraser

1.66=8p+2e
divide by 2 for simplification
0.83=4p+e

3.19=12p+5e

0.83=4p+e
multiply by -5 and add to obht eration

-4.15=-20p-5e
3.19=12p+5e +
-0.96=-8p

divide by -8
0.12=p
sub back

0.83=4p+e
0.83=4(0.12)+e
0.83=0.48+e
minus 0.48 both sides
0.35=e

1e+1p=0.12+0.35=0.47

cosst is $0.47

The measure of the central angle of a sector of a circle is 90°. The arc length of the sector is 2pi cm. What is the radius of the circle in centimeters?

Answers

Answer:

Step-by-step explanation:

2πr/4=2π

r/4=1

r=4 cm

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How to solve -10p+9p=12

A: Miguel says that you can easily separate numbers divisible by 2 into two equal parts. Do you agree? Why or why not?B: Manny says that if Miguel is correct, then you can easily separate numbers divisible by 3 into three equal parts. Do you agree? Why or why not?C: Lupe says that if any number is divisible by n, you can easily separate it into n equals parts. Do you agree with her? Explain.