How do I type a number 5 exponent and a fraction?

A toy manufacturer makes a toy truck, a toy car, and a toy boat. The production spreadsheet is:

Sedaia [141]

Answer:

Time:

Car > Truck > Boat.

Cost of produce:

Truck > Boat > Car

Profit

Car > Truck > Boat.

We know that a worker works 400 minutes each day, and the profit that each worker needs to generate is $35, let's find how each worker needs to spend their time.

Let's call T to the number of trucks he makes, C for cars and B for boats.

Then, if he works 400 minutes we have:

T*10 + C*12 + B*8 ≤ 400

this means that the time expended crafting the toys can be, at most, 400 minutes (here you use the inequality because the worker actually can be less effective than the max, maybe tacking a break or something like that)

The other equation is:

T*1 + C*1.5 + B*0.6 ≥ 35

Here we use the inequality because the profit needs to be at least 35$, none the less, the profit can be more than tath.

Notice that if we want to solve the system with for the equal signs, it is:

T*1 + C*1.5 + B*0.6 = 35

T*10 + C*12 + B*8 = 400

We have 3 variables and 2 equations, this means that there are more than one solution for this system.

6 0

3 years ago

Explain how you determined each of the numbered angle measures.

nalin [4]

The numbered angle measured is ∠1 = 61°, ∠2= 119, ∠3 = 61, ∠4 = 119, ∠5 = 119, ∠6 = 61 , ∠7 = 119

In this figure, we have

∠8 = 61°

Now, To find the

∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7

Now, Let's take the ∠7 and ∠8

and, firstly find the ∠7

We know that the sum of two angles is 180°

and, Given the ∠8 = 61°

∠7 + ∠8 = 180° (Linear Pair of Angles)

∠7 + 61° = 180°

∠7 = 180° - 61°

∠7 = 119°

and, ∠5 = ∠7 = 119° (Vertically opposite angle)

and, ∠1 = ∠8 = 61° (Corresponding Angles)

∠1 = 61° and ∠2 is the supplementary angle to given angle

So, ∠1 + ∠2 = 180°

where, supplementary angles are two angles whose measured add up to 180°

61° + ∠2 = 180°

∠2 = 119°

and ∠5 + ∠6 = 180°(Corresponding angle with ∠5)

119°+∠6 = 180°

∠6 = 180 = 119

∠6 = 61°

and, ∠3 = ∠6 = 61° (Corresponding Angle)

∠4 = ∠7 = 119° (Corresponding angle)

Hence, The numbered angle measured is ∠1 = 61°, ∠2= 119, ∠3 = 61, ∠4 = 119, ∠5 = 119, ∠6 = 61 , ∠7 = 119

Learn more about Angles at:

brainly.com/question/1597341

#SPJ1

4 0

1 year ago

What two numbers multiple to -48 & add to -8

saw5 [17]

Answer:

-12 and 4

Step-by-step explanation:

-12 x 4 = 48

and

-12 + 4 = -8

8 0

3 years ago

Read 2 more answers

Round 8,679 to the nearst hundred

Murljashka [212]

Answer:

8700

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.

SOVA2 [1]

Given: After 6 hours of burning, a candle has a height of 24.6 centimeters. After 21 hours of burning, its height is 18.6 centimeters.

Solution: We could write coordinates for number of hours and height of the candle (hours, height) for the above data as

(6,24.6) and (21,18.6).

In order to find the linear function, we need to find the slope between those two coordinates.

Slope would represent the rate at which length of candle is decreasing.

Let is find slope between those two coordinates now.

We know, slope formula

$m= \frac{y2-y1}{x2-x1}$

We have (x1,y1)=(6,24.6) and (x2,y2) = (21,18.6).

Plugging values of x1,y1,x2 and y2 in slope formula, we get

$m=\frac{18.6-24.6}{21-6}=\frac{-6}{15}$

Simplfying fraction -6/15 into simplest form, we get

-2/5.

So, the slope m=-2/5.

In decimal form -2/5 = -0.4.

Applying point-slope form of the linear equation

y-y1 = m(x-x1)

y- 24.6= -0.4(x-6).

Distributing -0.4 over (x-6), we get -0.4*x -0.4*-6 = -0.4x +2.4

y-24.6 = -0.4x +2.4

Adding 24.6 on both sides, we get

y-24.6+24.6 = -0.4x +2.4+24.6

y = -0.4x + 27.

Now, we need to find height of the candle after 9 hours.

x represents number of hours there.

Plugging x=9 in above function we got,

y = -0.4(9) + 27

y= -3.6 +27

y =23.4

Therefore, 23.4 centimeters is the height of the candle after 9 hours.

8 0

3 years ago