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3 years ago

Help me ? how to do this

Mathematics

1 answer:

Alex73 [517]3 years ago

5 0

Answer:

$6a^3\sqrt{3}$

Step-by-step explanation:

108=36*3

so $\sqrt{108} =$ $6\sqrt{3}$

for a^6 6/2=3 that becomes a^3

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Eight minus the quotient of two and a number x.

san4es73 [151]

Step-by-step explanation:

8-2÷x

it should be written like that

5 0

2 years ago

At a golf course there are 18 holes. Of the 18 holes 3 are par threes 8 are par fours and 7 are par fives what fraction of the h

elena55 [62]

The fraction of holes that are par three is $\frac{1}{6}$

The fraction of holes that are par four is $\frac{4}{9}$

The fraction of holes that are par five is $\frac{7}{18}$

Solution:

Given that At a golf course there are 18 holes

Therefore,

Total number of holes = 18

Of the 18 holes 3 are par threes 8 are par fours and 7 are par fives

So there are par 3, par 4 and par 5

Number of par 3 holes = 3

Number of par 4 holes = 8

Number of par 5 holes = 7

To find: fraction of the holes that are par threes Par fives and par fours

<h3>Find the fraction of par 3 holes:</h3>

$\text{ fraction of par 3 holes} = \frac{\text{ number of par 3 holes}}{\text{ total number of holes }}$

$\text{ fraction of par 3 holes} = \frac{3}{18} = \frac{1}{6}$

<h3>Find the fraction of par 4 holes:</h3>

$\text{ fraction of par 4 holes} = \frac{\text{ number of par 4 holes}}{\text{ total number of holes }}$

$\text{ fraction of par 4 holes} = \frac{8}{18} = \frac{4}{9}$

<h3>Find the fraction of par 5 holes:</h3>

$\text{ fraction of par 5 holes} = \frac{\text{ number of par 5 holes}}{\text{ total number of holes }}$

$\text{ fraction of par 5 holes} = \frac{7}{18}$

Thus the required fractions are found

3 0

2 years ago

A boat traveled 120 miles downstream and back. The trip down stream took four hours. The trip back took 12 hours. Find the speed

Alexxandr [17]

When the boat travels downstream, the current helps it move faster because it works in the direction of travel. When the boat moves upstream, the opposite happens. So, let $s$ be the speed of the boat in still water and $c$ be the speed of the current, both in miles per hour.

Remember that $rate * time = distance$ . Let's use this formula to write what happens when the boat is going downstream and upstream. When the boat goes downstream, the current goes in the same direction as the boat and speeds it up, so the rate is given by $s + c$ . When the boat is going upstream, the current goes against the boat's movement and slows it down, so the rate is $s - c$ . Thus,

Upstream: $(s + c)(4 h.) = 120 mi.$
Downstream: $(s - c)(12 h.) = 120 mi.$

This is now a system of equations. Let's first divide both sides of each equation by the time to get everything in miles per hour:

$\left \{ {{s + c = 30 mph} \atop {s - c = 10 mph}} \right.$

We can then add the two equations and solve for the speed of the boat in still water first:

$(s + c) + (s - c) = 30 mph + 10 mph$
$2s = 40 mph$
$\bf s = 20 mph$

Finally, we can find the speed of the current by plugging the speed of the boat back into one of the previous equations:

$s + c = 30 mph$
$20 mph + c = 30 mph$
$\bf c = 10 mph$

7 0

3 years ago

Work it -6 - 2m = 10

KATRIN_1 [288]

Add 6 to both sides>>>−-2m=10+6
Simplify 10+6 to 16>>>−-2m=16
Divide both sides by -−2>>>m=16/−-2
Simplify 16/−2 to -−16/2>>>>m=-16/−2
Simplify 16/2 to 8>>>>m=-−8

Answer m=-8

6 0

3 years ago

Read 2 more answers

Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complet

miskamm [114]

Answer:

- equation: 1/t = 1/8 + 1/6
- time: 3.43 hours

Explanation:

1) Working speed of Cody: 1 project / 8 hours

2) Working speed of Kaitlyn: 1 project / 6 hours

3) Joint working speed = working speed of Cody + working speed of Kaitlyn

⇒ 1 project / t = 1 project / 8 hours + 1 project / 6 hours

1 / t = 1 / 8 + 1 / 6

That is the equation to solve.

4) Solution of the equation.

1/t = [3 + 4] / 24

1/t = 7/24

⇒ t = 24/7 ≈ 3.43 hours

4 0

3 years ago