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Marat540 [252]
1 year ago
10

If w represents the width of the tree house, which inequality could be used to determine what lengths would make the area of the

base of the tree house greater than 293 square inches?
Mathematics
1 answer:
Doss [256]1 year ago
7 0

An inequality which could be used to determine the lengths that would make the area of the rectangular base of the tree house greater than 293 square inches is W² + 7W > 293.

<h3>How to calculate the area of a rectangle?</h3>

Mathematically, the area of a rectangle can be calculated by using this formula;

A = LW

Where:

  • A is the area of a rectangle.
  • L is the length of a rectangle.
  • W is the width of a rectangle.

For the length and area of the rectangular base, we have:

L = W + 7

A > 293

Substituting the given parameters into the formula, we have;

L × W > 293

(W + 7) × W > 293

W² + 7W > 293

Read more on area of a rectangle here: brainly.com/question/25292087

#SPJ4

Complete Question:

Adam built a tree house with a rectangular base. The length of the base is 7 inches more than its width. If w represents the width of the tree house, which inequality could be used to determine what lengths would make the area of the base of the tree house greater than 293 square inches?

W + 7 > 293

202 + 286 > 2,051

w² + 7w > 293

12 + 293 > 293

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A game decreased in price by 1 5 . After the reduction it was priced at £48. What was the original price of the game?
vovikov84 [41]

Answer:

£63

Step-by-step explanation:

when we subtract 15 from 48 ,we get 63 which is the answer.

8 0
3 years ago
Solve for x -4x-1=3 i dont know why ive been stuck on this
In-s [12.5K]

Answer:

x=-4/3

Step-by-step explanation:

x -4x-1=3

-3x-1=3

-3x-1+1=3+1

-3x=4

-3x/3 = 4/-3

x=-4/3

I hope this helps!

3 0
3 years ago
Read 2 more answers
Identify the equation of the graph shown. A) y = 2x + 3 B) y = 2x - 3 C) y = -2x + 3 D) y = -2x - 3 4)
Anna35 [415]

Answer:

The answers provided aren't reasonable for this graph.

Step-by-step explanation:

The graph's y-intercept is -2, since that is the point where the line intersects the y-axis. The slope is 3x, because the distance from one point to the next is 3 up, 1 right. So the equation for the graph is y = 3x - 2.

4 0
3 years ago
Find the probability that the senator was in the Democratic party, given that the senator was returning to office.
shutvik [7]

Answer:

The probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

Step-by-step explanation:

The complete question is:

Sophia made the following two-way table categorizing the US senators in 2015 by their political party and whether or not it was their first term in the senate.

                   Democratic         Republican         Independent        Total

First Term           11                          28                        11                     50

Returning           33                         26                        11                     70

Total                   44                         54                        22                  120

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

Solution:

The conditional probability of an event <em>A</em> given that another event <em>X</em> has already occurred is given by:

P(A|X)=\frac{P(A\cap X)}{P(X)}

The probability of an event <em>E</em> is given by the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

Compute the probability of selecting an US senator who is a Democratic and was returning to office as follows:

P(D\cap R)=\frac{33}{120}=0.275

Compute the probability of selecting an US senator who was returning to office as follows:

P(R)=\frac{70}{120}=0.5833

Compute the conditional probability, P (D | R) as follows:

P(D|R)=\frac{P(D\cap R)}{P(R)}

            =\frac{0.275}{0.5833}\\\\=0.4714555\\\\\approx 0.4715

Thus, the probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

4 0
3 years ago
Read 2 more answers
You go out to dinner with 2 friends. The bill was $35.60, and you
const2013 [10]

Answer:

$14.24

Step-by-step explanation:

5 0
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