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3 years ago

The diameter of this beach ball is 12 inches.

Mathematics

2 answers:

Wittaler [7]3 years ago

5 0

Answer:

288π or 904.78

Step-by-step explanation:

We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is $\frac{4}{3}$ × π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.

Volume = $\frac{4}{3}$ × π × r³

→ Let's substitute in the values

Volume = $\frac{4}{3}$ × π × 6³

→ Simplify

Volume = $\frac{4}{3}$ × π × 216

→ Simplify further

Volume = 288π or 904.78

Alexeev081 [22]3 years ago

5 0

Answer:

904.78

Step-by-step explanation:

i just answered it

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David charges $4 to wash all the windows of a car, inside and out. The amount of money he earns washing the windows must end in

nordsb [41]

Answer:

The possible digits are : 0, 2, 6, 4, 8

Step-by-step explanation:

Money charged by David to wash the windows of a car = $4

Let total number of cars he washed be x

Now, Total money earned by washing windows of a car = Money charged for washing all windows of one car × Total number of cars washed

⇒ Total money earned = 4 × x

So, the amount will always end in the digits which comes at the end of multiples of 4 because the amount will be always in the multiples of 4

⇒ 4 × 1 = 4 , 4 × 2 = 8 , 4 × 3 = 12 , 4 × 4 = 16 , 4 × 5 = 20 ......

So, the possible digits are : 0, 2, 6, 4, 8

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3 years ago

I have 47 nickels and dimes worth $4.20. How many of each type of coin do I have?

soldi70 [24.7K]

Answer:

37 dimes and 10 nickels

Step-by-step explanation:

let d = # dimes

let n = # nickels

we can set up a system of equations:

n + d = 47

.05n + .10d = 4.2

if we solve the first equation for 'n' we get:

n = 47-d

now we can substitute this in for 'n' in the second equation:

.05(47-d) + .10d = 4.2

2.35 - .05d + .10d = 4.2

2.35 + .05d = 4.2

subtract 2.35 from each side to get:

.05d = 1.85

d = 1.85÷.05

d = 37

if d+n = 47 and d=37 then n = 10

Check:

.05(10) + .1(37) should equal 4.2

.50 + 3.7 = 4.2 [It Checks Out]

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2 years ago

What is the value of -44.4-7?

KengaRu [80]

Answer:

-51.4

Step-by-step explanation:

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3 years ago

Read 2 more answers

I need help. tomorrow i have my state test.

iren [92.7K]

just count how many there and and eliminate one by one

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3 years ago

Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels

GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

$\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}$

Cross multiply

$350v_{b} = 140(v_{b} + 30)\\\\350v_{b} = 140v_{b} + 4200\\\\350v_{b} -140v_{b} = 4200\\\\210v_{b} = 4200$

Divide both sides by 210

$\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph$

4 0

3 years ago