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3 years ago

A bag of rice contains 17 1/2 cups of rice. Ken's children eat 2 1/2 cups of rice each day.

Mathematics

1 answer:

balu736 [363]3 years ago

4 0

Answer:

The answer is "7".

Step-by-step explanation:

Given values:

$\ bag \ of \ rice= 17\frac{1}{2} \\\\\ eating \ rice \ by \ ken \ per \ day = 2\frac{1}{2}\\\\\ rice = \frac{35}{2}\\\\ \ eat \ by \ day = \frac{5}{2}\\\\\ total \ days = \frac{\ bag \ value}{ \ eat \ by \ day}\\\\\ total \ days = \frac{\frac{35}{2}}{\frac{5}{2}}\\\\\ total \ days = \frac{35}{2} \times \frac{2}{5}\\\\\ total \ days = 7$

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A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a centimeter.

rjkz [21]

Answer:

1.9cm

Step-by-step explanation:

The density d of a material is related to its mass m and volume V as follows;

d = $\frac{m}{V}$ ------------------(i)

The material in question here is the lead ball.

Now, from known experiment;

the density of lead is 11.34g/cm³

From the question, the weight/mass of the lead ball is 326g

Substitute these values into equation (i) as follows;

11.34 = $\frac{326}{V}$

V = $\frac{326}{11.34}$

V = 28.75cm³

Now, since the ball is of course spherical, we can get the radius by using the following relation from the volume of a sphere;

V = $\frac{4}{3} \pi r^3$ [V = volume, r = radius]

V = 28.75cm³

=> 28.75 = $\frac{4}{3} \pi r^3$

=> 3 x 28.75 = 4 π r³

=> 86.25 = 4 π r³

=> 21.5625 = π r³ [Take π = 3.142]

=> 21.5625 = (3.142) r³ [divide both sides by 3.142]

=> 6.86 = r³ [Take the cube root of both sides]

=> ∛6.86 = ∛r³

=> 1.90 = r

Therefore, the radius is 1.9cm to the nearest tenth

5 0

3 years ago

Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest.

slava [35]

Answer:

the modulus of a complex number z = a + bi is:

Izl= √(a²+b²)

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a + bi

Im + nl = 3√10

√(a² + b²+ 2²+ 6²)= 3√10

√(a^2 + b^2 + 40) = 3√10

squaring both side

a²+b²+40 = 3^2*10 = 9*10 =90

a²+b²= 90 - 40

a²+b²=50

So,

|n|=√(a^2 + b^2) = √50

The modulus of n must be equal to the square root of 50.

now

values a and b such

a^2 + b^2 = 50.

for example, a = 5 and b = 5

5²+5²=25+25= 50

Then a possible value for n is:

n = 5+5i

7 0

3 years ago

What are the formulas for right triangles

Elan Coil [88]

Answer:

The Pythagorean theorem is

a^2 + b^2 = c^2

where a and b are the lengths of the legs (the sides that form the right angle), and c is the length of the hypotenuse (the side opposite the right angle.)

3 0

3 years ago

Read 2 more answers

Simple problem but i too stoopid

Alchen [17]

I think the answer is 32

3 0

4 years ago

The balance on a credit card, that charges a 15.5%APR interest rate, over a 1 month period is given inthe following table:Days 1

Karo-lina-s [1.5K]

First step is to get the average daily balance.

Take the sum of each day's balances.

If a payment has been made, the sign will be negative.

From Days 1 - 5 :

Day 1 = $200

Day 2 = $200

...

Day 5 = $200

That's $200 x 5 days = $1000

From Days 6 - 20 :

Day 6 = $350

Day 7 = $350

...

Days 20 = $350

That's $350 x 15 days = $5250

From Days 21 - 30 :

Day 21 = $150

Day 22 = $150

...

Day 30 = $150

That's $150 x 10 days = $1500

A total of :

$1000 + $5250 + $1500 = $7750

Now divide this total to the number of days to get the ADB or Average Daily Balance.

$\text{ADB}=\frac{7750}{30}=258.33$

Next Step is to calculate for the finance charge using the formula :

$\text{Charge}=\text{ADB}\times r\times d$

where ADB is the average daily balance

r is the interest rate per day

d is the number of days or period given

From the problem, APR is 15.5%, it means that we need to divide the APR by 365 days.

So r = 0.155/365 = 0.000425

And we have d = 30 days

The charge will be :

Charge = 258.33 x 0.000425 x 30 = $3.29

The answer is $3.29

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1 year ago