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2 years ago

The length of a board is 2 5/8 feet long. If 5/6 of a foot is trimmed off, find the new length

Mathematics

1 answer:

nalin [4]2 years ago

6 0

Answer:

New length is 3 3/20 ft.

Step-by-step explanation:

The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.

We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8

Now we're going to simplify ---> 5/6 ⋅ x = 2 5/8

5/6 ⋅ x = 21/8

(multiply both sides by 6)

5x = 63/4

(divide both sides by 5)

x = 63/20

x= 3.15

So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.

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Flura [38]

Answer: 62999

Step-by-step explanation: sorry if wrong

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1 year ago

You are planning your week-end schedule. You can spend at most 8 hours playing video games and doing homework. You want to spend

MatroZZZ [7]

The system of inequalities is:

v + h ≤ 8

v < 2

h ≥ 1.5

<h3>Which system of equations represents this situation?</h3>

Let's define the variables:

v = number of hours playing video games.
h = number of hours spent on homework.

The maximum time that you can spend on both activities is 8 hours, then:

v + h ≤ 8

You want to spend less than 2 hours on video games, so:

v < 2

You want to spend at least, 1.5 hours on homework, so:

h ≥ 1.5

Then the system of inequalities is:

v + h ≤ 8

v < 2

h ≥ 1.5

If you want to learn more about inequalities:

brainly.com/question/18881247

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1 year ago

Use logarithms to solve each equation 2x9/8=111

Illusion [34]

<span>We have this equation:
</span>
$2x^{\frac{9}{8}} = 111$

and we need to find the value of x.

First of all, we multiply the whole equation for 1/2, so our goal is to isolate x, therefore:

$x^{\frac{9}{8}}=\frac{111}{2}$

Next step we must do is to apply <span>logarithms:
</span>
$logx^{\frac{9}{8}} = log(\frac{111}{2})$

Next, we have to apply identities and then to solve the equation:

$\frac{9}{8}logx = log(\frac{111}{2})$
$logx = \frac{8}{9}log(\frac{111}{2})$
$logx = 1.5504$
$10^{logx} = 10^{1.5504}$

Finally, we have the value of x which was our goal. This is the answer for the question above:

$x= 35.5140$

7 0

3 years ago

Whats the most accurate estimation of 65 77

Gwar [14]

Addition: 70 + 80 = 150. You round 65 up because the ones digit is greater than and the same with 77.
Multiplication: Round up since both ones digits are bigger than 5. 70 x 80= 5600.

5 0

3 years ago

If f(x)=x^2-2x-8 and g(x)=1/4x-1, for which value of x is f(x)=g(x)?

Umnica [9.8K]

Answer:

The answer is 4

Step-by-step explanation:

x^2-2x-8=1/4x-1

x^2-9x/4-7=0

4x^2-9x=28

Therefore if we take value of x as 4 aur eq.get balanced...

3 0

2 years ago