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3 years ago

I’m stuck on this question please help

Mathematics

1 answer:

Komok [63]3 years ago

5 0

Take the price of pears (£1.30 per kilogram) and multiply it by the amount of pears (7kg). You get 9.1 so now you take the total amount spent (£12.70) and subtract the 9.1 and you get 3.6 now that is the amount you spent on the apples. So take 3.6 and divide it by the amount of apples you got (2kg) you will get 1.8 and that is your overall answer.

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Tomas works as an underwater photographer. He starts at a position that

ivann1987 [24]

Answer:

His position is now on -18 below sea level

Step-by-step explanation:

So since Tomas is 15 feet below sea level, that means that it's -15. He rose 9 feet which now he is -6 feet below sea level. Now he descends 12 feet which means he goes back down and now he is at -18 below sea level.

6 0

3 years ago

An asteroid follows a hyperbolic path defined by the equation 16x2 − 9y2 = 576. If one of its foci is the sun's position, the mi

amid [387]

The minimum distance between the asteroid and the sun is 10 - 6 =4

The given hyperbolic path defined as
divide both the sides by 576,

The general equation of

hyperbola is written as
;

Compare with above mention equation
Here

The distance between the asteroid and the sun is seen by figure -1
or
⇒c =10

The minimum distance between the asteroid and the sun is 10 -6 =4

4 0

3 years ago

Solve for z. 20 − (z + 7) = 0.9

zhannawk [14.2K]

Answer:

x = 12.1

Step-by-step explanation:

20 − (z + 7) = 0.9

Distribute the minus sign

20 -x -7 = .9

Combine like terms

13 -x = .9

Subtract 13 from each side

-x = -12.1

x = 12.1

7 0

3 years ago

Read 2 more answers

What is the equation in point-slope form of a line that passes through the points (7,-8) and (-4,6)? HURRY!!!!!!

erastova [34]

Answer:

y - 7 = $\frac{14}{-11}$ (x + 8)

Step-by-step explanation:

Use the slope formula $\frac{y2 - y1}{x2-x1}$ to work out the slope

Then pick one point to insert into the formula y - y1 = m(x - x1)

5 0

3 years ago

A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 1584 cubic feet

liq [111]

Answer:

The room dimensions that will minimize the cost of the paint are 12 ft x 12 ft x 11 ft.

Step-by-step explanation:

We can find first the volume equation using the formula of the volume of a box.

$V= xyz$

Thus we get the constraint function

$1584 = xyz$

Then since we are asked to minimize the cost, we can write the cost function which is the area of each one of the walls and ceiling multiplied by the painting cost.

$C=0.11 xy+ 2(0.06)xz+2(0.06yz \\ C =0.11 xy+0.12xz+0.12yz$

Lagrange Multipliers to find minimum cost.

We can continue finding the partial derivatives to build the system of equations required for Lagrange Multipliers method.

$C_x=\lambda V_x \\ C_y = \lambda V_y \\ C_z = \lambda V_z$

And the constraint function

$xyz=1584$

So we get

$0.11y+0.12z=\lambda yz \\ 0.11x+0.12z=\lambda xz \\ 0.12x+0.12y=\lambda xy\\ xyz=1584$

We can multiply each side of each equation by the dimension which is missing to get the full volume on the right side.

$0.11xy+0.12xz=\lambda xyz \\ 0.11xy+0.12yz=\lambda xyz \\ 0.12xz+0.12yz=\lambda xyz$

Then we can set each the equations equal to each other, so from the first one and the second equation we get

$0.11xy+0.12xz= 0.11xy+0.12yz$

We can subtract 0.11xy from both sides.

$0.12xz=0.12yz$

And we can divide both sides by 0.12z to get

$x=y$

We can repeat the process by setting the first and third equation equal to each other.

$0.11xy+0.12xz= 0.12xz+0.12yz$

We can subtract 0.12 xz from both sides

$0.11xy=0.12yz$

And we can solve by z

$z= \cfrac{0.11x}{0.12}\\ z = \cfrac{11x}{12}$

So if we replace that as well y = x on the constraint for the volume euqation we get

$1584=x(x)\left(\cfrac{11}{12}x\right) \\ 1584=\cfrac{11}{12}x^3$

We can then solve for x

$x^3 = \cfrac{1584(12)}{11}$

And taking the cube root

$x = \sqrt[3]{\cfrac{1584(12)}{11}}$

$x = \sqrt[3]{1728}$

$x=12 ft$

So then we can use the equations we have found for y and z in terms of x

$y = x \\ y = 12 ft$

And

$z= \cfrac{11x}{12}\\z= \cfrac{11(12)}{12} \\ z=11ft$

Then the dimensions of the room that will minimize the cost are 12ft x 12 ft x 11 ft. Since you have to enter using commas you can write 12, 12, 11, please check as well if you have to insert the units that are feet for each.

5 0

4 years ago