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iragen [17]
2 years ago
6

which shape had a larger area: a rectangle that is 7 inches by 3/4 inch, or a square with side length of 2.5 inches? Show your r

easoning.
Mathematics
1 answer:
Brums [2.3K]2 years ago
6 0
In order to find the area for a rectangle, you must multiply length times width, which would be 7 x 3/4 which is 5.25. In order to find the area for a square, you do length^2, also know as length x length. Which would be 2.5^2 which is 2.5 x 2.5 which is 6.25. 6.25 is larger than 5.25, so the square has a larger area.
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Lin read for x minutes, and Elena read for more than that. Write an expression for the number of minutes Elena read. Only use de
Vikentia [17]
<h2>Explanation:</h2><h2 />

In this exercise, we know some facts:

  • Lin read for x minutes.
  • Elena read for more than that.

The problem tells us nothing about the number of minutes Elena read more than Lin. However, let's say Elena read one-third more than the number of minutes Lin read. Therefore:

<u>For Lin:</u>

Number \ of \ minutes \ Lin \ read=x

<u>For Elena:</u>

Number \ of \ minutes \ Elena \ read=x+\frac{1}{3}x \\ \\ Number \ of \ minutes \ Elena \ read=\frac{3x+x}{3} \\ \\ Number \ of \ minutes \ Elena \ read=\frac{4x}{3} \\ \\ Number \ of \ minutes \ Elena \ read=\frac{4x}{3} \\ \\ \\ By \ using \ decimals: \\ \\ Number \ of \ minutes \ Elena \ read \approx 1.33x

6 0
2 years ago
a previous analysis of paper boxes showed that the standard deviation of their lengths is 15 millimeters. A packers wishes to fi
vladimir1956 [14]

Answer:

864.36 boxes

Step-by-step explanation:

In the question above, we are given the following values,

Confidence interval 95%

Since we know the confidence interval, we can find the score.

Z score = 1.96

σ , Standards deviation = 15mm

Margin of error = 1 mm

The formula to use to solve the above question is given as:

No of boxes =[ (z score × standard deviation)/ margin of error]²

No of boxes = [(1.96 × 15)/1]²

= 864.36 boxes

Based on the options above, we can round it up to 97 boxes.

8 0
2 years ago
Mark wants to use a grid like the ones in exercise 1 and 2 to model the percent equialent of the fraction 2/3. how many grid squ
artcher [175]
The fraction is 2/3
So, there should be 100 squares.
Next, the 100 squares is divided into 3 by vertical lines. The lines will not coincide with the sides of the squares. This is okay. Next, the 2 out of 3 will be shaded, this will be equivalent to 66 squares and one more square but it will not be filled up completely. In percent form, the fraction is 66.67%.
6 0
2 years ago
Find the area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).
ki77a [65]

Answer:

The area of the polynomial is 35 square unit.

Step-by-step explanation:

It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).

From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7.

The distance formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using the above formula we get,

WX=7

XY=5

YZ=7

WZ=5

The length of opposing sides are equal.

Using the Pythagoras theorem, the length of diagonal WY and XZ are

WY=\sqrt{(WX)^2+(XY)^2}=\sqrt{7^2+5^2}=\sqrt{74}

XZ=\sqrt{(XY)^2+(YZ)^2}=\sqrt{5^2+7^2}=\sqrt{74}

Since the length of the diagonal are same, therefore the given polygon is a rectangle.

The area of a rectangle is

A=l\times w

Where l is length and w is width.

The area of given polynomial is

A=5\times 7

A=35

Therefore the area of the polynomial is 35 square unit.

6 0
2 years ago
Anne,Ryan and Joel collect empty cans for recycling. They collect a total of 1,925 cans. Anne collects half as many cans as Ryan
elixir [45]
A + R + J = 1925
A = 1/2R
J = 2R

1/2R + R + 2R = 1925
7/2R = 1925
R = 550

J = 2(550)
J = 1100

Joel collects 1100 cans.
3 0
2 years ago
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