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stepladder [879]

2 years ago

8

Camryn practices the trumpet every 11^\text{th}11

2 answers:

Pie2 years ago

6 0

Answer:

33 days

Step-by-step explanation:

Snowcat [4.5K]2 years ago

4 0

Answer:

in 33 days

Step-by-step explanation:

Trumpet practice is every 11 days. Flute practice is every 3 days.

You need the Least Common Multiple (the LCM) of the two numbers, 3 and 11.

Since 3 and 11 are prime, the LCM of 3 and 11 is their product.

LCM = 3 * 11 = 33

Answer: in 33 days

You can also solve this by listing multiples of 3 and 11 until you find the smallest number that is a multiple of both 3 and 11.

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, ...

Multiples of 11: 11, 22, 33, 44, ...

The smallest multiple of both 3 and 11 is the smallest number that shows in both lists. It is 33.

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Simplify square root of negative 48

77julia77 [94]

$\bf \sqrt{-48}\qquad 
\begin{cases}
48=2\cdot 2\cdot 2\cdot 2\cdot 3\\
\qquad 2^2\cdot 2^2\cdot 3\\
\qquad (2^2)^2\cdot 3
\end{cases}\implies \sqrt{-1\cdot (2^2)^2\cdot 3}
\\\\\\
\sqrt{-1}\cdot \sqrt{(2^2)^2\cdot 3}\implies i\cdot 2^2\sqrt{3}\implies 4\sqrt{3}\ i$

5 0

3 years ago

A pond at a hotel holds 4,290 gallons of water.

Kisachek [45]

Answer:

55 hours

Step-by-step explanation:

Write the problem as an equation.

4290-78x=0

Where 'x' is each hour the pond is being drained.

Then, solve.

4290=78x Add 78x to each side of the equation

55=x Divide both sides by 78

5 0

3 years ago

Find the gradient of the line segment between the points (2,3) and (-3,8).

fiasKO [112]

Answer:

$m = -1$

Step-by-step explanation:

Given

Points (2,3) and (-3,8)

Required

Determine the gradient

Gradient (m) is calculated by dividing the change in y values by the change in x values.

i.e.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1,y_1) = (2,3)$

$(x_2,y_2) = (-3,8)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$ becomes

$m = \frac{8 - 3}{-3 -2}$

$m = \frac{5}{-5}$

$m = -1$

<em>Hence, the gradient is -1</em>

7 0

2 years ago

find the circumference of each circle with the given radius or diameter round to the nearest tenth use 3.14 for pie r=9 cm

yuradex [85]

Answer:

$C = 2\pi (9)\\C = 56.6 cm$

Step-by-step explanation:

6 0

3 years ago

What is the solution to the system of equations graphed below?

sweet [91]

Answer:

$\text{B. }(2, -3)$

Step-by-step explanation:

$\begin{cases}y=2x-7,\\y=-x-1\end$

Since $y=y$ :

$2x-7=-x-1,\\3x=6,\\x=2$

Solving for $y$ :

$y=2(2)-7=4-7=-3$

Verify that the point of intersection occurs at $\boxed{(2, -3)}\checkmark$

5 0

2 years ago