Ask question

Ask question

All categories

2 years ago

4

Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450450450 kilograms (\text{

kg}kgstart text, k, g, end text), but Renna and her load of identical packages mass a total of 620\,\text{kg}620kg620, start text, k, g, end text. Each package has a mass of 37.4\,\text{kg}37.4kg37, point, 4, start text, k, g, end text.
Write an inequality to determine the number of packages, ppp, Renna could remove from the elevator to meet the mass requirement.
What is the minimum whole number of packages Renna needs to remove from the elevator to meet the mass requirement?

2 answers:

Gnesinka [82]2 years ago

8 0

Answer:

<u>Part A. 37.4p ≥ 170</u>

Part B. <u>p ≥ 5 (rounding to the next whole)</u>

<u>Renna needs to remove at least 5 packages from the elevator to meet the mass requirement.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Mass limit for the elevator = 450 kg

Renna and her load of packages mass = 620 kg

Each package mass = 37.4 kg

2. Write an inequality to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.

Number of packages * Each package mass ≥ Renna and her load of packages mass - Mass limit for the elevator

Replacing with the values and variables we know:

p * 37.4 ≥ 620 - 450

<u>37.4p ≥ 170</u>

3. What is the minimum whole number of packages Renna needs to remove from the elevator to meet the mass requirement?

Solving for p in the equation above, we have:

37.4p ≥ 170

p ≥ 170/37.4

p ≥ 4.55

<u>p ≥ 5 (rounding to the next whole)</u>

anzhelika [568]2 years ago

3 0

Answer:

The inequality would be: 620-37.4q is less than or equal to 450

and she needs 5 packages

Step-by-step explanation:

You might be interested in

Mia has a conical container filled with chocolates. She knows that the volume of the container is equal to one-third of the prod

34kurt

For this case what you should do is create the equation based on:
"She knows that the volume of the container is equal to one-third of the product, the square of the radius of the base of the container, and the height of the container"
We have then that the Volume is given by:
V = (1/3) * (r ^ 2) * (h)
where,
r: radius of the base.
h: height of the container.
answer
The volume of the container is calculated with the following equation:
V = (1/3) * (r ^ 2) * (h)

7 0

2 years ago

Read 2 more answers

Express 5.555... in the form of a geometric series.

Evgesh-ka [11]

5.555 = 5.1 + 0.05 + 0.005

<span> = 5.5 + 0.05 + 0.05(.1)</span>

<span> = 5.5 + 0.05/(1-.1)</span>

<span> =5.5+0.05/.9</span>

<span> =5.5 + 5/90</span>

<span> = 5.5+1/18</span>

<span> =55/10 + 1/18</span>

<span> = 495/90 + 5/90</span>

<span> =500/90</span>

<span> = 50/9</span>

<span> = 5 5/9</span>

4 0

2 years ago

What inverse operation is used to solve the equation 2x=10

Jlenok [28]

It’s c multiply by 2 on both sides

5 0

2 years ago

Read 2 more answers

The country of Sylvania has decided to reduce the number of its illiterate citizens by \dfrac35

Alex73 [517]

Answer:

<u>P(t) = 9,000 - 5,400t</u>

Correct statement and question:

The country of Sylvania has decided to reduce the number of its illiterate citizens by 3/5 each year. This year there are 9000 illiterate people in the country. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Reduction rate in the number of illiterate people in Sylvania annually = 3/5

Number of illiterate people in Sylvania this year = 9,000

2. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.

P(t) = Number of illiterate people in Sylvania this year - (Number of illiterate people in Sylvania this year * Reduction rate in the number of illiterate people in Sylvania annually)

Replacing with the values and variables provided, we have:

P(t) = 9,000 - (9,000 * 3/5t)

<u>P(t) = 9,000 - 5,400t</u>

Now we can calculate P(1), this way:

P(1) = 9,000 - 5,400 * 1

P(1) = 3,600

And we can calculate when there won't be illiterate people in Sylvania, as follows:

P(t) = 9,000 - 5,400t

9,000 - 5,400t = 0

-5,400t = -9,000

t = -9,000/-5,400

t = 1.67 years

t = 1 year and 8 months (0.67 * 12 = 8)

4 0

2 years ago

Read 2 more answers

Sarah’s stands on a ground and sights the top of a steep Clift at a 60 degree angle of elevation she then steps back 50 meters t

SashulF [63]

Answer:

Cliff is 45 m tall.

Step-by-step explanation:

Given:

Height of Sarah = 1.8 m

Angle of elevation = 60°

Angle of elevation 50 m back = 30°

As shown in the figure we have two right angled triangles SPQ and SPR.

Let the height of the cliff be $h$ meters and $h= h_1+h_s$ .

Using trigonometric ratios:

tan (Ф) = opposite/adjacent

In ΔSPQ. In ΔSPR.

⇒ $tan(60) = \frac{h_1}{x}$ ...equation (i) ⇒ $tan (30)=\frac{h_1}{x+50}$ ...equation (ii)

Dividing equation (i) and (ii)

⇒ $\frac{tan(60)}{tan(30)} = \frac{h_1}{x} \times \frac{x+50}{h_1}$

⇒ $3 = \frac{x+50}{x}$

⇒ $3x=x+50$

⇒ $3x-x=50$

⇒ $2x=50$

⇒ $x=\frac{50}{2}$

⇒ $x=25$ meters

To find $h_1$ plugging $x=25$ in equation (i)

⇒ $h_1=x\times tan(60)$

⇒ $h_1=25\times 1.73$

⇒ $h_1=43.25$ meters

The height of the cliff from ground :

⇒ $h= h_1+h_s$

⇒ $h= 43.25+1.8$

⇒ $h=45.05$ meters

The cliff is 45 m tall to the nearest meter.

8 0

2 years ago