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AlexFokin [52]
3 years ago
14

Exactly 1 1/3 yard of ribbon is needed to make a bow. Which of the following lengths of ribbon could be used to make a bow with

the least amount remaining?
Mathematics
1 answer:
svp [43]3 years ago
4 0

Answer:

1 and 2/5 yards wastes only 1/15 a yard

Step-by-step explanation:

1 and 1/6 yards  would make a waste of 1 and 1/6 yards since you can't make a ribbon out of it. (incorrect)

1 and 2/10 yards  would make a waste of 1 and 1/5 yards since you can't make a ribbon out of it. (incorrect)

1 and 2/5 yards

1\frac{2}{5} -1\frac{1}{3} =\\\\1\frac{6}{15} -1\frac{5}{15} =\\\\\frac{1}{15}

Wastes 1/15 a yard.

1 and 1/2 yards  

1\frac{1}{2} -1\frac{1}{3} =\\\\1\frac{3}{6} -1\frac{2}{6} =\\\\\frac{1}{6}

It wastes 1/6 a yard.

2 yards

2-1\frac{1}{3} =\frac{2}{3}

It wastes 4/6 a yard.

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Solve <br>In 2x + In 2=0​
irakobra [83]

Solving  ln(2x)+ln(2)=0 we get, x=\frac{1}{4}

Step-by-step explanation:

We need to solve: ln(2x)+ln(2)=0

Solving:

ln(2x)+ln(2)=0

Adding -ln(2) on both sides:

ln(2x)+ln(2)-ln(2)=0-ln(2)

ln(2x)=-ln(2)

Using logarithmic rule: if log_a b =c\,\,then\,\, b=a^c

So,

2x=e^{-ln(2)}

Simplifying:

2x=(e^{ln(2)})^{-1}\\e^{ln(2)}=2\\2x=(2)^{-1}\\2x=\frac{1}{2} \\x=\frac{1}{2x2}\\x=\frac{1}{4}

So, Solving  ln(2x)+ln(2)=0 we get, x=\frac{1}{4}

Keywords: Logarithms

Learn more about Logarithms at:

  • brainly.com/question/11921476
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4 0
3 years ago
In a market research survey of 29012901 ​motorists, 255255 said that they made an obscene gesture in the previous month. complet
harina [27]
A. 1-255255/29012901=0.991202017 is the probability of not making an obscene gesture.
b. The probability of none of 5050 making an obscene gesture is (a) raised to the power of 5050: 4.1591E-20 approx. We have not used the 5% rule in this binomial distribution.
8 0
3 years ago
Find the area of the shaded region in the figure below. 5in. 8in.
Fiesta28 [93]

Hi there!

<u>Answer:</u>

The area of the shaded region is 28 in²


<u>Step-by-step explanation:</u>

You will have to do 3 different steps in order to find the area of the shaded region.

First, you will need to find the total area of the rectangle using the values you have and the area formula for a rectangle, which is : A = Length × Width

"A" is the area, which is what we are looking for

The "Length" is equal here to 8 inches

The "Width" is equal here to 5 inches


A = <u>8 × 5</u>

A = 40 in²


Now that you have the area of the rectanlge, your second step is to find the area of the triangle using the values you have and the area formula for a triangle, which is : A = (Base × Height) ÷ 2

"A" is the area, which is what we are looking for

The "Base" is equal here to 8 inches

The "Height" is equal here to 3 inches


A = <u>(8 × 3)</u> ÷ 2

A = <u>24 ÷ 2</u>

A = 12 in²


Now that you have both the area of the rectangle and the area of the triangle, all you have to do for your third and final step is subtract the area of the triangle from the area of the rectangle so that you are left with the area of the shaded region :

Area shaded region = <u>40 in² - 12 in²</u>

Area shaded region = 28 in²


There you go! I really hope this helped, if there's anything just let me know! :)

6 0
3 years ago
Find the volume of the figure.<br> 2.25 m<br> 4<br> m<br> 2.5 m<br> no
liberstina [14]

<u>Given</u>:

Given that the figure is a triangular prism.

The length of the prism is 4 m.

The base of the triangle is 2.5 m.

The height of the triangle is 2.25 m.

We need to determine the volume of the triangular prism.

<u>Volume of the triangular prism:</u>

The volume of the triangular prism can be determined using the formula,

V=\frac{1}{2}bhl

where b is the base of the triangle,

h is the height of the triangle and

l is the length of the prism.

Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;

V=\frac{1}{2}(2.5)(2.25)(4)

V=\frac{1}{2}(22.5)

V=11.25 \ m^3

Thus, the volume of the triangular prism is 11.25 m³

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Write 5 as a ratio of two integers
tino4ka555 [31]

The number 5 is a rational number, so you must be able to express it as a quotient, and you can. Dividing any number by 1 gives you the original number, so to express an integer like 5 as a quotient, you simply write 5/1. The same is true for negative numbers: -5 = -5/1

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