1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OLEGan [10]
3 years ago
9

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lbs and each b

ox of books weighs 50 lbs. The maximum capacity of the elevator is 1000 lbs. How many boxes of books can the delivery person bring up at one time? Note: The delivery person cannot bring up a partial/fraction of a box.
Mathematics
1 answer:
german3 years ago
8 0

Answer:

16 boxes

Step-by-step explanation:

160+50x=1000

Solve for the x and you'll get 16.8. Now, because you can't have a fraction of a box, and you can't go over the limit, the answer is 16 boxes.

(How to solve for x:

Get x by itself by subtracting 160 to both sides.

50x=1000-160

50x=840

Divide both sides by 50.

x=16.8)

You might be interested in
Item 5<br> Write 77.5% as a fraction or mixed number in simplest form.
jeyben [28]

<span>77.5% can also be written as 77.5/100, but if you're the mathematical notation police, people don't like decimals on a fraction, sooo, an equivalent form is: </span>

<span>
 = (77.5)/(100) * (2/2)
= 155/200
= 31/40
= 0 31/40 </span>

5 0
3 years ago
2. On vacation, Katelyn wanted to have her hair braided in multiple braids to cover her head. The beautician charges a flat rate
scoundrel [369]
29 = 4 + .75b
subtract 4
25 = .75b
divide .75
b = 33.3333333
b = 33 braids
4 0
3 years ago
Read 2 more answers
5/6 + 1/12 = ??<br><br> Simplify answer fully
AlladinOne [14]
5/6+1/12
=taking LCM we get 10+1/12
=11/12 is the answer..!!
5 0
3 years ago
Read 2 more answers
What is 9.375 Rounded to the nearest hundredth
stiks02 [169]

Note the hundredth place value (underlined and bolded):

9.3<u>7</u>5

Look at the number to the right of the hundredth place value. It is a 5. Because you round up if the number is 5 or greater, you round up in this case (you round down if it is 4 or less).

9.375 rounded to the nearest hundredth is 9.38

~

3 0
3 years ago
Read 2 more answers
A punch glass is in the shape of a hemisphere with a radius of 5 cm. If the punch is being poured into the glass so that the cha
Galina-37 [17]

Answer:

28.27 cm/s

Step-by-step explanation:

Though Process:

  • The punch glass (call it bowl to have a shape in mind) is in the shape of a hemisphere
  • the radius r=5cm
  • Punch is being poured into the bowl
  • The height at which the punch is increasing in the bowl is \frac{dh}{dt} = 1.5
  • the exposed area is a circle, (since the bowl is a hemisphere)
  • the radius of this circle can be written as 'a'
  • what is being asked is the rate of change of the exposed area when the height h = 2 cm
  • the rate of change of exposed area can be written as \frac{dA}{dt}.
  • since the exposed area is changing with respect to the height of punch. We can use the chain rule: \frac{dA}{dt} = \frac{dA}{dh} . \frac{dh}{dt}
  • and since A = \pi a^2 the chain rule above can simplified to \frac{da}{dt} = \frac{da}{dh} . \frac{dh}{dt} -- we can call this Eq(1)

Solution:

the area of the exposed circle is

A =\pi a^2

the rate of change of this area can be, (using chain rule)

\frac{dA}{dt} = 2 \pi a \frac{da}{dt} we can call this Eq(2)

what we are really concerned about is how a changes as the punch is being poured into the bowl i.e \frac{da}{dh}

So we need another formula: Using the property of hemispheres and pythagoras theorem, we can use:

r = \frac{a^2 + h^2}{2h}

and rearrage the formula so that a is the subject:

a^2 = 2rh - h^2

now we can derivate a with respect to h to get \frac{da}{dh}

2a \frac{da}{dh} = 2r - 2h

simplify

\frac{da}{dh} = \frac{r-h}{a}

we can put this in Eq(1) in place of \frac{da}{dh}

\frac{da}{dt} = \frac{r-h}{a} . \frac{dh}{dt}

and since we know \frac{dh}{dt} = 1.5

\frac{da}{dt} = \frac{(r-h)(1.5)}{a}

and now we use substitute this \frac{da}{dt}. in Eq(2)

\frac{dA}{dt} = 2 \pi a \frac{(r-h)(1.5)}{a}

simplify,

\frac{dA}{dt} = 3 \pi (r-h)

This is the rate of change of area, this is being asked in the quesiton!

Finally, we can put our known values:

r = 5cm

h = 2cm from the question

\frac{dA}{dt} = 3 \pi (5-2)

\frac{dA}{dt} = 9 \pi cm/s// or//\frac{dA}{dt} = 28.27 cm/s

5 0
3 years ago
Other questions:
  • What is the other term for integers
    5·1 answer
  • Sasha says that she drew an acute isosceles triangle with side lengths of 6 cm, 9 cm, and 12 cm and angles of 30°, 50°, and 100°
    8·1 answer
  • Question 1 (1 point)
    5·1 answer
  • 3/7 0f what number is 9?
    12·2 answers
  • If 6-x=2(x-6) what is the value of x? need steps!!
    10·2 answers
  • A cylindrical jar has a diameter of 9 in. and a height of 12 in. The water surface is 2.5 in. from the top. About how much water
    7·1 answer
  • Lori buys a $400 certificate deposit that earns 1.8% interest compounded monthly how much will a cd be worth in six years
    9·1 answer
  • Can anyone please help with this
    5·2 answers
  • Write an equation in slope-intercept form for the line that has the given slope and contains the point.
    6·1 answer
  • Which of the following sets of numbers could represent the three sides of a right
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!