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disa [49]
3 years ago
7

Zinc has a density of 0.258 lb/in³ (pounds per cubic inch).

Mathematics
2 answers:
Gemiola [76]3 years ago
8 0

Why don’t you round the last answer

Ray Of Light [21]3 years ago
3 0

For this case, we have that by definition:

ρ = \frac {M} {V}

Where:

ro: Density

M: Mass

V: Volume

We find the volume of the pyramid:

V = \frac {1} {3} * l ^ 2 * h

Where:

l ^ 2: Represents the area of the base of the square pyramid

h: Represents the height

So:

V = \frac {1} {3} * (6) ^ 2 * 2.5\\V = \frac {1} {3} * 36 * 2.5\\V = 30 \ in ^ 3

We have to:

M = ρ* V

M = 0.258 \frac {lb} {in ^ 3} * 30 \ in ^ 3\\M = 7.74 \ lb

So, you need 7.74 pounds of zinc

Answer:

7.74 pounds

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If a car factory checks 320 cars and 12 of them have defects, how many out of 560 will have defects? Use proportions
Viefleur [7K]

Answer:

Total number number of cars which do not have defects = 539

and 21 are defected out of 560 i.e. 560 - 539 = 21

Step-by-step explanation:

Total cars checked by Car factory = 320

Number of defected cars = 12

The number of cars which do not have defects = 320 - 12 = 308

Total Number of cars = 560

So the equation becomes

\left[560\:\times \:308\right]\:\div \:320

⇒  \frac{560\times \:308}{320}

\mathrm{Multiply\:the\:numbers:}\:560\times \:308=172480

⇒  \frac{172480}{320}

\mathrm{Divide\:the\:numbers:}\:\frac{172480}{320}=539

⇒  539

Therefore, total number number of cars which do not have defects = 539

and 21 are defected out of 560 i.e. 560 - 539 = 21

4 0
3 years ago
A small plane travels north at 240 mph. A jet leaves the same airport 30 minutes later and follows the other plane at 360 mph. H
kifflom [539]

1.

Solution here,

let the both planes covers same distance x while over taking.

For the small plane, let time be t.

speed= 240 mph

now,

distance covered by it,

x=240t--------(1)

For jet plane,let the time be t'.

speed=36mph

since it is flewed after 30 mins, it can be written as,

t'=t-30 min=t-0.5 hr

now distance covered by it,

c=360t'=360(t-0.5)=360t-180----------(2)

equating (1) and (2)

240t=360t-180

or, -120t=-180

or, t=1.5 hr

therefore two planes wiil meet after 1.5 hrs.

putting the value of t in (1)

x=240×1.5=360 m

therefore they travel through 360 m from the airport whlie over taking.

2.

For the first car,

speed=50 Kmph

let it covers x distance at time t

so,diatance x=50t--------(1)

For the second car,

speed=45 Kmph

according to the question, in time t, it will covers the distance (x-20)Km

so, distance(x-20)=45t

or, x=45t+20---------(2)

equating (1) and (2),

50t=45t+20

or, 5t=20

or, t=4 hrs.

therefore cars will be apart of 20 km after 4 hrs.

8 0
3 years ago
Nathan brings cupcakes to school and gives them to his five best friends, who share them equally. If c represents the number of
tatiyna

Answer: \dfrac{c}{5}

Step-by-step explanation:

Given : Nathan brings cupcakes to school and gives them to his five best friends, who share them equally.

i.e. Number of friends = 5

If c represents the number of cupcakes Nathan brings to school, then the number of cupcakes each of his friends receive is given by using division operation :_

c\div 5=\dfrac{c}{5}

Hence, the expression to show how many cupcakes each of his friends receive. : \dfrac{c}{5}

3 0
3 years ago
A sequence starts 1 4 9 16
vredina [299]

Answer:

See the attached image for the answers and the working out.

Step-by-step explanation:

5 0
4 years ago
Which of the following equations have no solutions?
Andre45 [30]

Answer:

A

Step-by-step explanation:

If the variable quantities are the same, but the constants are different, then that equation has no solutions.

4 0
3 years ago
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