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katen-ka-za [31]
3 years ago
5

A rectangle has an area of 192 square inches. Find it’s length and width if the length is 3 times the width

Mathematics
1 answer:
Ber [7]3 years ago
3 0

Answer: Width = 9 inches

Length = 12 inches

Step-by-step explanation: A = (w+3)(w)

A = w2 + 3w = 108

w2 + 3y - 108 = 0

This is the factor of the problem: (w - 9) (w + 12) = 0

This equals to w + 12 = 0

w = -12

Then the final answer would be Width = 9 inches

Length = 12 inches.

Hope this helps!

I am joyous to assist anytime!

<em>~Jarvis</em>

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A nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. Which walk is
MArishka [77]

Answer:

Evening walk is shorter.  

Step-by-step explanation:

We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.

Let us compare both fractions by making the same denominator.

\text{Two-thirds}=\frac{2}{3}

\text{Two-thirds}=\frac{2\times2}{3\times2}

\text{Two-thirds}=\frac{4}{6}

\text{Three-sixth}=\frac{3}{6}

Upon making common denominator, we can see that two-thirds are equal to four sixths.

Since three-sixths is less than four-sixths, therefore, evening walk is shorter.

We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.

We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.

Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.

5 0
3 years ago
A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 150 li
Anika [276]

Answer:

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

Step-by-step explanation:

Let A represent snickers, B represent Twix and C represent Reese's Peanut Butter Cups.

Given;

N(A) = 150

N(B) = 204

N(C) = 206

N(A∩B) = 75

N(A∩C) = 100

N(B∩C) = 98

N(A∩B∩C) = 38

N(Total) = 500

How many students like Reese's Peanut Butter Cups or Snickers, but not Twix;

N(AUC∩B')

This can be derived by first finding;

N(AUC) = N(A) + N(C) - N(A∩C)

N(AUC) = 150+206-100 = 256

Also,

N(A∩B U B∩C) = N(A∩B) + N(B∩C) - N(A∩B∩C) = 75 + 98 - 38 = 135

N(AUC∩B') = N(AUC) - N(A∩B U B∩C) = 256-135 = 121

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

See attached venn diagram for clarity.

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is the shaded part

6 0
3 years ago
Can you please help me
Mandarinka [93]

Answer:  Attached.

Step-by-step explanation:

Either solve the equations directly, or graph them and look for the point of intersection.  

8 0
2 years ago
The Lovin' Lemon Company sells a 4-gallon jug of lemonade for $24. The Sweet and Sour company sells an eight-pack of one quart b
Helen [10]
Sweet and Sour, as 8 quarts is only 2 gallons, for more than half the price ( if they were equal) than the price if the Lovin' Lemon companies lemonade.
8 0
3 years ago
3 ½ x 2/5 *
ki77a [65]

Answer:

Step-by-step explanation:

3\frac{1}{2}=\frac{(3*2)+1}{2}=\frac{7}{2}\\\\\\3\frac{1}{2}*\frac{2}{5}=\frac{7}{2}*\frac{2}{5}=\frac{14}{10}

4 0
2 years ago
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