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ivanzaharov [21]
4 years ago
5

The total amount of weight on an elevator cannot exceed 1,800 pounds. a delivery person is on the elevator delivering packages.

together, the delivery person and the packages weigh 520 pounds. if the average weight of a person is 160 pounds, set up and solve an inequality to determine how many additional people, p, the elevator can hold.
Mathematics
1 answer:
HACTEHA [7]4 years ago
8 0

Answer:

p ≤ 8

Step-by-step explanation:

Given the following :

Maximum weight elevator can hold ≤ 1800

Weight of delivery person and packages = 520 pounds

Average weight of a person = 160 pounds

Inequality to show how many additional people elevator can hold?

(weight of delivery person and packages + average weight of persons * number of persons) ≤ 1800

Let p = number of persons

(520 + 160p) ≤ 1800

160p ≤ 1800 - 520

160p ≤ 1280

p ≤ 1280 / 160

p ≤ 8

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4 years ago
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A cyclist rides his bike at a rate of 10 kilometers per hour. What is this rate in miles per hour. How many miles will the cycli
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Answer:

10 km/ hour = 6.25 miles/ hour

Step-by-step explanation:

cyclist travel in 5 hours = 6.25 x 5 = 31.25 miles

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4 years ago
the ratio of the sides of a certain triangle is 2:7:8 if the longest side of the triangle is 40cm how long are the other two sid
Zigmanuir [339]

The length of the other two sides is 10 and 35 respectively.

<h3>What is a ratio?</h3>

A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.

From the given information:

  • The sides of the triangle = 2:7:8
  • The total sides of the triangle = 2+7+8 = 17

We are being told that the longest side is the triangle is equal to 40.

i.e.

\mathbf{\to\dfrac{8}{17}\times x = 40}

\mathbf{x = 40 \div \dfrac{8}{17}}

\mathbf{x = 40 \times \dfrac{17}{8}}

x = 85

Now for the other two sides 2 and 7, their length is as follows.

\mathbf{\dfrac{2}{17}\times 85 = 10}

\mathbf{\dfrac{7}{17}\times 85 = 35}

Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.

Learn more about ratios here:

brainly.com/question/2328454

3 0
2 years ago
There are 6 Programmers and 8 Analysts working on a team at CIA. What is the unsimplified ratio of Programmers to Analysts?
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Answer:  \dfrac{6}{8}

Step-by-step explanation:

Given

There are 6 Programmers and 8 Analysts working on a team at CIA.

Ratio of Programmers to analysts is

\Rightarrow \dfrac{6}{8}

Un-simplified ratio is \dfrac{6}{8}

Simplified ratio is \dfrac{3}{4}

6 0
3 years ago
A projectile is shot into the air following the path,h(x) = - 5t2 + 20t + 3. At what time will it reach a maximum height? t = 1
kramer

Answer:

t = 2

Step-by-step explanation:

Notice that this expression for the projectile's path is that of a quadratic function with negative leading term. The graph of it therefore consists of a parabola with the branches pointing down (due to he negative leading coefficient). Therefore, the maximum of such parabola will reside at its vertex.

Recall that the formula for the position of the vertex in a general parabolic function of the form: y(x)=ax^2+bx+c, is given by the expression: x_{vertex}=-\frac{b}{2a}

In our case, the variable "x" is in fact "t", the leading coefficient (a) is -5, and the coefficient for the linear term (b) is 20.

Therefore, the maximum of the path will be when t=-\frac{20}{2(-5)} =\frac{20}{10} =2

7 0
3 years ago
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