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3 years ago

What is the answer to 3 2/5÷4 1/3

1 answer:

3 0

3 and 2/5 ÷ 4 and 1/3
The first step before you can divide these is that you must make them improper fractions, they cannot be mixed numbers.

3 = 3/1 = 15/5
15/5 + 2/5 = 17/5
3 and 2/5 = 17/5

4 = 4/1 = 12/3
12/3 + 1/3 = 13/3
4 and 1/3 = 13/3

Now you can divide 17/5 and 13/3.

Step 1- Turn the fraction you are dividing by into its reciprocal.
13/3 reciprocal equals 3/13

Step 2- Multiply.
17/5 • 3/13
17 • 3 = 51
5 • 13 = 65
Answer: 51/65

Step 3- Simplify if possible.
51/65
This is already in simplest form so there is no need to simplify.

So the answer is 51/65.

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A dime has the same value as 10 pennies. marley brought 290 pennie to the bank.How many dimes did marley get?

DanielleElmas [232]

Answer:

Explanation:

10 pennies= 1 dime

so you divide 290÷10

which equals 29

So Marley got 29 dimes

8 0

3 years ago

Marge has a book that holds her stamp collection. In this collection, 6 stamps are from England, 7 are from France, 10 are from

spayn [35]

Answer:

38.46%

Step-by-step explanation:

there are a total of 6 + 7 + 10 + 3 = 26 stamps in marge's collection

out of these 26 stamps, 10 are from the United States (Marge's home country) and 16 are from foreign countries. If she picks a random stamp, the probability that it is from the United States = 10/26 = 5/13 = 0.3846 = 38.46%

4 0

2 years ago

Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who

alekssr [168]

Answer:

They traveling at $0.37\ m/s$ in backward direction.

Step-by-step explanation:

Given mass of Ammy $m_1=55kg$

and velocity is forward at $v_1=3m/s$

Also, mass of Jenny $m_2=40kg$

Who is travelling in opposite direction $v_2=-5m/s$

Let velocity in forward direction is positive and velocity in backward direction is negative.

Also, velocity after crash is $v$

As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.

Conservation of momentum says momentum before collision should equal to momentum after collision.

$m_1v_1+m_2v_2=(m_1+m_2)v$

$(55\times3)+(40\times(-5))=(55+40)v\\\\165-200=95v\\\\-35=95v\\\\v=\frac{-35}{95}=-0.368m/s$

So, velocity after collision $v$ ≅ $-0.37m/s$ is in opposite direction. That is the direction of Jenny.

6 0

2 years ago

Express 512 as a power of 2. a) 2*8* b) 27*7* c)29*9* d) 210*10*

mote1985 [20]

Answer:

256^2

Step-by-step explanation:

256 power 2 is in a power of 2

7 0

2 years ago

Find the volume and surface area of the composite figure. Give your answer in terms of π.

irakobra [83]

Answer:

V = 240π cm^3 , S= 168π cm^2

Step-by-step explanation:

The given figure is a combination of hemi-sphere and a cone

Volume:

For volume

r = 6 cm

h = 8 cm

$Volume\ of\ cone = \frac{1}{3}\pi r^2h\\= \frac{1}{3}\pi (6)^2*8\\=\frac{1}{3}\pi *36*8\\=\frac{288}{3}\pi\\=96\pi cm^3 \\\\Volume\ of\ hemisphere = \frac{2}{3}\pi r^3\\=\frac{2}{3}*\pi * (6)^3\\=\frac{2}{3}*\pi *216\\=\frac{432}{3}\\=144\pi cm^3 \\\\Total\ Volume= Volume\ of\ cone + Volume\ of\ hemisphere\\= 96\pi +144\pi \\=240\pi cm^3$

Surface Area:

For this particular figure we have to consider the lateral area of the cone shape and surface area of the hemisphere

We have to find the lateral height

$l = \sqrt{r^2+h^2}\\ l = \sqrt{(6)^2+(8)^2} \\l= \sqrt{36+64}\\ l = \sqrt{100}\\l = 10cm\\\\Surface\ area\ of\ cone = \pi rl\\= \pi (6)(10)\\=\pi *60\\=60 \pi\ cm^2\\\\Surface\ area\ of\ hemisphere = 2\pi r^2\\= 2 \pi * (6)\\= 2 \pi *36\\= 72 \pi\ cm^2\\\\Total\ surface\ Area = Surface\ area\ of\ cone + Surface\ area\ of \ hemisphere\\= 60 \pi + 72 \pi\\=132 \pi\ cm^2$

Hence the first option is correct ..

3 0

2 years ago