Mathematics High School

A custodian must move a shipment of books from the first floor to the sixth floor. The elevators weight limit is 900 pounds. If the custodian weighs 160 pounds and each box of books weighs 37 pounds , find the maximum number of boxes the custodian can move on the elevator at one time

Answers

Answer 1

Step-by-step explanation:

160 + 37x <= 900

37x <= 740

x <= 20

the custodian can move max. 20 boxes on the elevator at one time.

if he/she is always riding with the boxes.

if the custodian would climb the stairs and let the books ride alone, there could be

37x <= 900

x <= 900/37 = 24.32432432 ≈ 24

boxes on the elevator at one time.

Related Questions

please help asap
during a snow storm the temperature drops from 0 degress f to - 12 degress f in 3 hour. on averge by how many degress is the temperature changing per hour?

A, -4f

B. 12f

C. 15f

D. -9f

Answers

The average change per hour is: -4 F/h

So the temperature decreases by 4 degrees Fahrenheit each hour.

How to get the average change in temperature?

To get the average change in degrees per hour, we need to take the quotient between the change in temperature and the number of hours in which this happens.

We know that initially the temperature is 0F

The final temperature is -12F

and this happens on an interval of 3 hours, then the average change per hour is:

(-12F - 0F)/3h = -12F/3h = -4 F/h

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Angel buys cookies and lemons at the store.
He pays a total of $29.80.
He pays a total of $6.25 for the cookies.
• He buys 5 bags of lemons that each cost the same amount.
How much does each bag of lemons cost?

Answers

The cost of each bag of lemons is $4.71

How to calculate the cost of each bag of lemon ?

Let y represent the cost of lemon

Angel pays $29.80 for both the cookies and lemon

He pays a total of $6.25 for the cookies

He buys 5 bags of lemons

The equation can be expressed as

6.25 + 5y= 29.80

collect the like terms

5y= 29.80-6.25

5y= 23.55

divide by the coefficient of y which is 5

y= 23.55/5

y= 4.71

The result of y from the equation is 4.71

Hence each bag of lemon costs $4.71

Answers

The vertices of the path of the comet E are; (-12,0) and (+12,0) as it is moving an elliptical path.

What are the vertices of the path of the comet E?

Comet 'E' is modeled by

((y + 16)²)/400 + (x²)/144 = 1

This is an equation of an ellipse. So, the path traveled by Comet E will be an elliptic path.

Comparing with the equation of ellipse;

((y - k)²)/(b²)+ ((x - h) ²)/(a ²) = 1

whose; Centre is (h,k) and Vertex is (h±a, 0)

On Comparing Centre (h, k), h= 0 and k = -16,

a²=144

a = 12

b²=400

b=20

So, Centre (0, -16),

The Vertex (-12,0) and (+12,0)

So, the vertices of the path of the comet E are; (-12,0) and (+12,0).

Part B: The path of Comet H has been modeled as; a horizontal hyperbola.

Thus, The Comet H travels closer to the sun.

Part C: The sun represents the one of the foci of both the Comet E and Comet H.

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Eric orders 3 large cheese pizzas. There is a $2 delivery fee for each pizza. He pays a total of $42. Which equation can be used to find the price, r, of each pizza?

Answers

we have that he paid 4 dollars due the delivery. So each pizza costs

[tex]\frac{38}{2}=19[/tex]

so the equation to find the price r is

[tex]r=\frac{42-4}{2}[/tex]

Use the table to answer the question. HELP PLS

Number of cases ordered

1

3

5

10

Number of rolls of paper towels

12

36

60

120.

A restaurant is placing an order for paper towels. The data table shows the amount of paper towel rolls compared to the number of cases. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair.

Answers

The constant of proportionality when the restaurant is placing an order for paper towels is 12.

How to calculate the value?

It should be noted that the constant of proportionality simply means the ratio that is important to show the proportional relationship between the two given values.

This will be illustrated as:

y = kx

y = Number of paper roll

x = Number of cases ordered

From the table, this will be:

y = kx

12 = k × 1

k = 12

Therefore, the constant of proportionality is 12.

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if f(x)=8-5x find f(4-+3)

Answers

The required value of the function at x = 4 and 3 is f(4) = -12 and f(3) = -7.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given function ,

f(x) = 8 - 5x
put x = 4
f(4) = 8 - 5(4)
f(4) = 8 - 20
f(4) = -12

Again,
put x = 3
f(3) = 8 - 5(3)
f(3) = 8 - 15
f(3) = -7

Thus, the required value of the function at x = 4 and 3 is f(4) = -12 and f(3) = -7.

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Congruent triangles
Please answer this question

Answers

A.Congruent triangles)

Draw the graph of each circle given its equation below.

Answers

Step 1:

First, write the general equation of a circle

[tex]\begin{gathered} (x-a)^a+(y-b)^2=r^2 \\ r\text{ is the radius} \\ (a,\text{ b) is the center} \end{gathered}[/tex]

Step 2:

Question 1

[tex]\begin{gathered} x^2+y^2\text{ = 121} \\ x^2+y^2=11^2 \\ \text{radius r = 11} \\ \text{center = (0 , 0)} \end{gathered}[/tex]

Question 2

[tex]\begin{gathered} (x-2)^2+y^2\text{ = 64} \\ (x-2)^2+y^2=8^2 \\ \text{Center = (2, 0)} \\ r\text{ = 8} \end{gathered}[/tex]

Question 3

[tex]\begin{gathered} (x\text{ + }\frac{3}{2})^2\text{ + (y + }\frac{5}{8})^2\text{ = 36} \\ (x\text{ + }\frac{3}{2})^2\text{ + (y + }\frac{5}{8})^2\text{ = }6^2 \\ \text{Center = (-}\frac{3}{2}\text{ , -}\frac{5}{8}) \\ r\text{ = 6} \end{gathered}[/tex]

Question 4

[tex]\begin{gathered} (x-1)^2+(y+7)^2\text{ = 9} \\ (x-1)^2+(y+7)^2\text{ = }3^2 \\ \text{Center = (1, -7)} \\ r\text{ = 3} \end{gathered}[/tex]

Question 5

[tex]\begin{gathered} (x+8)^2+(y-3)^2\text{ = 7} \\ (x+8)^2+(y-3)^2\text{ = (}\sqrt[]{7})^2 \\ \text{Center = (-8, 3)} \\ \text{radius r = }\sqrt[]{7} \end{gathered}[/tex]

Simplify to create an equivalent expression 10+4(−8q−4)

Answers

Answer:

-32q-6

Step-by-step explanation:

Please look at the attachment! Hope this helps! ~~

Answer : -0.3125 + q + 0.5

1) Distribute

10 - 32q - 16

2) Divide all terms by -32

-0.3125 + q + 0.5

In a survey of 1,900 people who owned a certain type of car, 855 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer: 45%

Step-by-step explanation: 45% of 1,900 is 855

Dracula needs to mix 4 quarts of liquid iced tea concentrate with 5.5
quarts of water to make iced tea. He wants to make 66.5 quarts of
iced tea. How much iced tea concentrate will he need?

Answers

28 quarts.

First find out how many quarts of iced tea are made from 4 quarts of concentrate and 5.5 quarts of water. Then set up a proportion to solve for the amount of concentrate required for 66.5 quarts of iced tea.

See details:

Write $5 and $8 in algebra expression

Answers

Answer:

5+8=x

step by step explanation

x = -4z - 19
y= 5x + z - 4
-5y - z = 25

Answers

Answer:

x = 1, y = -4, z = -5

Step-by-step explanation:

Solve the following system:

{x = -4 z - 19 | (equation 1)

{y = z + 5 x - 4 | (equation 2)

{-z - 5 y = 25 | (equation 3)

Express the system in standard form:

{x + 0 y + 4 z = -19 | (equation 1)

{-(5 x) + y - z = -4 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Swap equation 1 with equation 2: