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zhenek [66]
3 years ago
9

Solve for the variable 3/6 = x/121

Mathematics
2 answers:
exis [7]3 years ago
8 0

Answer:

\boxed{x=\dfrac{121}{2}\to x=60.5}

Step-by-step explanation:

\dfrac{3}{6}=\dfrac{x}{121}\qquad\text{simplify}\ \dfrac{3}{6}=\dfrac{3:3}{6:3}=\dfrac{1}{2}\\\\\dfrac{1}{2}=\dfrac{x}{121}\qquad\text{cross multiply}\\\\2x=121\qquad\text{divide both sides by 2}\\\\x=\dfrac{121}{2}

katrin2010 [14]3 years ago
5 0

Answer:

60.5 =x

Step-by-step explanation:

3/6 = x/121

We can use cross products

3*121 = 6*x

363 = 6x

Divide by 6

363/6 = 6x/6

60.5 =x


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The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1
marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 6 cm
  • h = 18 cm

\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}

<h3><u>Cube</u></h3>

\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}

Given:

  • x = 8 cm

\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will <u>not</u> come over the top of the container.

4 0
2 years ago
Fraction strip for 1/4, 2/8,3/12
Brilliant_brown [7]

4/16, 5/20, 6/24, 7/28, 8/32...

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A driver travelled a distance of 864 km in 12 hours what is the speed of car
Elanso [62]

answer:

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8 0
3 years ago
Read 2 more answers
-2y + 6 = -12<br><br> Please help me what is Y
patriot [66]

Answer:

y = 9

Step-by-step explanation:

-2y + 6 = -12

       -6     -6

-2y = -18

divide both sides by -2

y = 9

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
Is (x+7) a factor of f(x)= x^3-3x^2+2x-8
nikklg [1K]

Answer:

Step-by-step explanation:

Use synthetic division to answer this.  If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.

We use -7 as the divisor in synth. div.  This comes from the factor (x + 7):

-7   /    1    3     2     -8

               -7   28  -210

     -------------------------

         1      -4   30   -218

Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.

6 0
4 years ago
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