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2 years ago

Imagine a 10 kg chunk of aluminum (density = 2.7 g/cm3) and a 10 g chunk of iron (density = 7.9 g/cm3).

Mathematics

2 answers:

blsea [12.9K]2 years ago

7 0

The answer is C.
Hope this helps!!!

fomenos2 years ago

3 0

Answer: C. The chunk of iron's volume is smaller than the chunk of aluminum's volume.

Step-by-step explanation:

Given: The mass of aluminum chunk = 10 kg

In grams , the mass of aluminum chunk = 1000 g [∵ 1 kg = 1000 g]

The mass of iron chunk =10 g

i.e The chunk of aluminum is more massive than the chunk of iron.

Density of Aluminum chunk = $2.7\ g/cm^3$

Density of iron chunk = $7.9\ g/cm^3$

The formula of volume is given by :-

$\text{Volume}=\dfrac{\text{Mass}}{\text{Density}}$

$\text{Volume of Aluminium chunk}=\dfrac{1000}{2.7}=370.37\ cm^3$

$\text{Volume of Iron chunk}=\dfrac{10}{7.9}\approx 1.27\ cm^3$

Clearly, The chunk of iron's volume is smaller than the chunk of aluminum's volume.

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Solve the equation for y<br> Y minus 5 equals 1/3 (x plus 12)

Vinvika [58]

Answer:

ok so this problem you are basically just rearranging it. you're going to want y by itself.

Step-by-step explanation:

let's start with the original equation: 5-y=1/3x +12

so first you have to move the five over, so you subtract 5 from both sides. -y=1/3x+12-5

then you subtract the 5 from the twelve since they're like terms: -y=1/3x+7

and finally you have to move the negative over. when you move the negative think of it like dividing negative one from both sides, everything on the other side has to get the negative.

so we're left with y=-1/3x-7

I hope this helps!

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2 years ago

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

$FG=RO=L\\RF=OG=W$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(4)^{2}+(0)^{2}}$

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

8 0

3 years ago

Please help me this is due and im so confused??? extra points

Wewaii [24]

Answer:

g(x) = f(x) + 18

Step-by-step explanation:

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3 years ago

WILL MARK AS BRAINLIEST FOR THESE QUESTIONS.

laiz [17]

Let the sandwich be represented by = x

Let the drink be represented by = y

As given, Joe charges $10.00 for two sandwiches and one drink, so equation becomes 2x+y=10 ....(i)

He charges $6.50 for one sandwich and one drink, so equation becomes x+y=6.50 ....(ii)

Subtracting (ii) from (i) we get

x=3.50

And as x+y=6.50

y=6.50-3.50=3.00

Hence, cost of a sandwich is $3.50 and a drink is $3.00

the question is incomplete. coordinates are missing

Let x represent the number of performances

cost = 8000+300x

revenue = 700x

To break even, the cost must be equal to the revenue.

$8000+300x=700x$

$400x=8000$

so x=20

Hence, 20 performances are needed to break even.

Let us take x for 20% material, y for 50% material

$\frac{20x+50y}{200}=30$

$20x+50y=6000$ ......... (1)

Accounting for volumes to use, x+y=200 or x=200-y ................ (2)

Putting the value of x in (1)

$20(200-y)+50y=6000$

$4000-20y+50y=6000$

$4000+30y=6000$

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3 years ago

Complete the square for 3x^2-12x=9

larisa [96]

Answer:

The solutions are -0.65 and 4.65.

Step-by-step explanation:

3x^2 - 12x = 9

Divide both sides by 3

x^2 - 4x = 3

To make a square with "x^2 - 4x", you need to have a "+ 4" after it so it can be simplified as (x-2)^2. So add 4 to both sides.

x^2 - 4x + 4 = 7

(x-2)^2 = 7

x - 2 = (square root) of 7

x = 2 (+/-) (square root) of 7.

x = {-0.65, 4.65}

The solutions are -0.65 and 4.65.

hope this helps:)sorry if it doesnt

8 0

3 years ago

Read 2 more answers