Step-by-step explanation:
if one pump = x
the other pump = 2x
therefore
x + 2x = 8 minutes
3x = 8 minutes
Divide through by 3
x = 8/3 minutes
converting it to seconds
x = 8/3 * 60
x = 160 seconds
therefore
the first pump = 2x = 2 * 160 = 320 seconds
the second pump = x = 160 seconds
The figure is a rhombus J' K' L' M' in a coordinate plane, showing all its vertices.
The vertex J' is the point (0, -2).
And the statement indicates that the quadrilateral JKLM was transformed into the figure J'K'L'M' by the dilation (x,y) -> (x/2, y/2).
Then you have to find the preimag of J' which is J.
You know that x was multiplied by 1/2 to transform into 0, then x/2 = 0 => x =0
And y was mutilplied by 1/2 to transform into -2, then y/2 = -2 => y = -4.
And the pre-image is (0, -4)
Answer: (0, -4)
<span>=<span><span>(<span><span>4x</span>+<span>−5</span></span>)</span><span>(<span><span>3x</span>+2</span>)</span></span></span><span>=<span><span><span><span><span>(<span>4x</span>)</span><span>(<span>3x</span>)</span></span>+<span><span>(<span>4x</span>)</span><span>(2)</span></span></span>+<span><span>(<span>−5</span>)</span><span>(<span>3x</span>)</span></span></span>+<span><span>(<span>−5</span>)</span><span>(2)</span></span></span></span><span>=<span><span><span><span>12<span>x2</span></span>+<span>8x</span></span>−<span>15x</span></span>−10</span></span><span>=<span><span><span>12<span>x2</span></span>−<span>7x</span></span>−<span>10</span></span></span>
Answer:
OR 5g : 8g
Step-by-step explanation:
Also a ratio can also be represented by a fraction;
So to make the ratio to the simplest form we have to divide by a number that can divide both number.
40g : 64g
We can start dividing by 2 which will give us;
20g : 32g
Now we can divide by 2 again since it can divide both numbers which will give us;
10g : 16g
We can still divide by 2 since it can divide both numbers which will give us;
5g : 8g
Since no numbers can divide 5 and 8 equally that is our answer.
Also,
If the question is actually “danielle ran the first 1/5 of a 6 mile race. how many miles did she run?” then the answer is 1 & 1/2 miles.