I need help with #10

You need a 45% alcohol solution. On hand, you have a 175 mL of a 25% alcohol mixture. You also have 70% alcohol mixture. How muc

Bezzdna [24]

175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If v is the amount of the 70% solution that you use, then that amount contains 0.7v mL of alcohol.

Mixing these two yields a total volume of 175 mL + v, and it contains 43.75 mL + 0.7v alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:

(43.75 mL + 0.7v) / (175 mL + v) = 0.45

Solve for v :

43.75 mL + 0.7v = 0.45 (175 mL + v)

43.75 mL + 0.7v = 78.75 mL + 0.45v

0.25v = 35 mL

v = 140 mL

5 0

2 years ago

In the diagram, point C represents the center of the sphere. Diego says that the part of the sphere labeled D is the radius. Gre

Katen [24]

Answer:

Gregoire is correct; the diameter is a chord that passes through the center of the sphere.

Step-by-step explanation:

A sphere is a geometrical shape formed from a circle. Some of its parts are: diameter, center, radius circumference, etc.

The center of a sphere is a point at its middle. The diameter is a straight line, e.g a chord, that is drawn from one point on the circumference of a sphere to another point and passes through its center. While radius is a line that is from the center of the sphere to a point on its circumference.

A diameter is twice of a radius, so that:

Radius = $\frac{Diameter}{2}$

⇒ Diameter = 2 × Radius

Therefore with respect to the question, Gregoire is correct because a diameter is a chord that passes through the center of the sphere.

3 0

3 years ago

Read 2 more answers

For a trip Eli packed 4 shirts, 2 pairs of pants, and 2 pairs of shoes. How many different outfits can Eli make?

Lorico [155]

4 shirts can be worn with one pair of pants twice and the shoes can be paired with each outfit. So I am going to say 8 outfits.

8 0

3 years ago

Simplify 3^-3 Show work

dmitriy555 [2]

$\bf a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 3^{-3}\implies \cfrac{1}{3^3}\implies \cfrac{1}{27}$

5 0

3 years ago

Need answer ASAP! True of false: (x−6) is a factor of 4x3−18x2+3x−13. True of False

Fantom [35]

Answer:

If you mean 4x to the power of 3 - 18x to the power of 2 +3x -13 then the answer is false

8 0

2 years ago