All categories

3 years ago

The volume of 100 drops of a liquid is 1 fluid ounce. What is the volume of 10 drops?

Mathematics

2 answers:

Allushta [10]3 years ago

7 0

Answer:

The volume of 10 drops is 0.1 fluid ounce

Step-by-step explanation:

To find the volume of 10 drops, we will follow the steps below;

Using proportion;

Let x be the volume of 10 drops

100 drops = 1 fluid ounce

10 drops = x

Cross-multiply

100×X = 10×1

100x = 10

Divide both-side of the equation by 100

100x/100 = 10/100

At the left-hand side of the equation 100 will cancel-out 100 leaving us with just x while at the right-hand side of the equation 10 will be divided by 100.

Thus;

x = 0.1 fluid ounce

Therefore, the volume of 10 drops is 0.1 fluid ounce

N76 [4]3 years ago

3 0

1 floz divided by 100 = 0.01 floz for 1 drop
0.01 x 10 = 0.1 floz for 10 drops

You might be interested in

Consider the following expression<br> 4b+2+7a<br> Select all of the true statements below.

Ulleksa [173]

Answer:

a , c and d

Step-by-step explanation:

a , c and d are correct

8 0

2 years ago

Use the quadratic formula to solve the<br> quadratic equation. SHOW ALL WORK.<br> 2 −8+41 = 0

horsena [70]

Answer:

Solving the equation $x^2-8x+41=0$ using quadratic formula we get $x=4+5i \ or \ x=4-5i$

Step-by-step explanation:

We need to solve the equation $x^2-8x+41=0$ using quadratic formula.

The quadratic formula is:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where a=1, b=-8 and c=41

Putting values in formula and finding x

$$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$\\$x=\frac{-(-8)\pm\sqrt{(-8)^2-4(1)(41)}}{2(1)}$\\$x=\frac{8\pm\sqrt{64-164}}{2}$\\$x=\frac{8\pm\sqrt{-100}}{2}$\\We \ know \ \sqrt{-1}=i\\x=\frac{8\pm10i}{2}\\x=\frac{8+10i}{2} \ or \ x=\frac{8-10i}{2}\\x=4+5i \ or \ x=4-5i$

So, Solving the equation $x^2-8x+41=0$ using quadratic formula we get $x=4+5i \ or \ x=4-5i$

5 0

2 years ago

Does the table represent a proportional or a nonproportional linear relationship?

Ede4ka [16]

Answer:

I believe it is proportional.

Step-by-step explanation:

The numbers are going up by an equal amount each time. I am very sorry if it ends up wrong, but I think it is correct.

3 0

3 years ago

Read 2 more answers

What is the value of n in the equation 0=18+128n^2?

lbvjy [14]

Answer:

$\large\boxed{\text{no soltion in the set of real numbers}}\\\boxed{n=-\dfrac{3}{8}i\ \vee\ n=\dfrac{3}{8}i\ \text{in the set of complex numbers}}$

Step-by-step explanation:

$18+128n^2=0\qquad\text{subtract 18 from both sides}\\\\128n^2=-18\qquad\text{divide both sides by 128}\\\\n^2=-\dfrac{18}{128}\\\\n^2=-\dfrac{18:2}{128:2}\\\\n^2=-\dfrac{9}{64}$

7 0

3 years ago

What is the axis of symmetry of the function f(x) = –(x + 9)(x – 21)?

ludmilkaskok [199]

First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms

anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.

Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.

The axis of symmetry is 6

3 0

3 years ago