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2 years ago

Jack has a 8-ft long board. he cut off 1/6 of it how long is the remaining piece in feet and inches

1 answer:

7 0

First, let's find out the equivalent amount of one-sixth of the total length of 8 ft.

Length of cut = 8(1/6) = 4/3 ft

So, the remaining length would be:
Remaining length = 8 ft - 4/3 ft = 20/3 ft or that's 6 and 2/3 ft.

Since there are 12 inches in 1 ft:
2/3 ft * 12 in/ft = 8 inches

Thus, the remaining length is 6 ft and 8 inches.

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A group of entomologists has determined that the population of ladybugs at a local park can be modeled by the equation y = − 1.4

Oksanka [162]

<h3>Answer:</h3>

A) 177.568 thousand.

B) 125.836 thousand.

<h3>Step-by-step explanation:</h3>

In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.

Equation we're going to use:

$y = -1.437 x + 197.686$

We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.

Lets solve the question.

Question A:

We need to find the ladybug population is 2024.

2024 is 14 years after 2010, so our "x" variable will be replaced with 14.

Your equation should look like this:

$y = -1.437 (14) + 197.686$

Now, we solve.

$y = -1.437 (14) + 197.686\\\\\text{Multiply -1.437 and 14}\\\\y=-20.118+197.686\\\\\text{Add}\\\\y=177.568$

You should get 177.568

This means that the population of ladybugs in 2024 is 177.568 thousand.

Question B:

We need to find the ladybug population is 2060.

2060 is 50 years after 2010, so the "x" variable would be replaced with 50.

Your equation should look like this:

$y = -1.437 (50) + 197.686$

Now, we solve.

$y = -1.437 (50) + 197.686\\\\\text{Multiply -1.437 and 50}\\\\y=-71.85+197.686\\\\\text{Add}\\\\y=125.836$

This means that the population of ladybugs in 2060 would be 125.836 thousand.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

7 0

2 years ago

Alex needs a car for a year. which option below would be the cheapest for that length of time? assume that a month has 30 days b

frutty [35]

Financing a car. just did it on apex

5 0

2 years ago

Read 2 more answers

A cake has a mass of 2.5kg. It contains 275g of fruit. What percentage of fruit is there in the cake

Travka [436]

The answer is: "11 %" .
__________________________________
There is 11% of fruit in the cake.
______________________________
Explanation:
____________________________________

275g is what percent of 2.5 kg?

First, convert "275 g" into "kg".

Note the exact conversion: 1000 g = 1 kg .

So 275 g = (275/1000) kg = 0.275 kg .

0.275 kg = (n/100) * 2.5 kg ;

→ (n/100) * 2.5 = 0.275 ;
____________________________
Divide each side by "(2.5)"
______________________
→ (n/100) = (0.275) / (2.5) ;

→ (n/100) = 0.11 ;

Multiply each side by "100" ;

n = 11 .
________________________________________
The answer is: 11 % .
________________________________________

8 0

2 years ago

Read 2 more answers

Paula, a college student, earned $3,600 one summer. During the following semester, she spent $2,500 for tuition, $650 for rent,

Softa [21]

So to get the $ spent on misc items, just add up the other expenses and subtract it from 3600:

$2500+650+430=3580\\ \\ 3600-3580=\$ 20$