All categories

3 years ago

Mary has 200ml of hand sanitizer that is 15% alcohol. She mixes it with 200ml of a

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

7 0

Answer:

(370-2x)ml

Step-by-step explanation:

We are given that

In first hand sanitizer

Total solution=200ml

Alcohol=15% of 200ml

Alcohol= $\frac{15}{100}\times 200=30ml$

In second hand sanitizer

Solution=200 ml

Alcohol=x% of 200 ml

Alcohol= $\frac{x}{100}\times 200=2x ml$

We have to find the water in the resulting mixture of hand sanitizers.

Total solution of two hand sanitizers=200+200=400ml

Total alcohol in two hand sanitizers=(30+2x)ml

Water in two hand sanitizers=400-(30+2x) ml

Water in two hand sanitizers=400-30-2x ml

Water in two hand sanitizers=(370-2x)ml

Hence, water in the resulting mixture of hand sanitizers=(370-2x)ml

You might be interested in

Find the area in blue.

barxatty [35]

Answer: The area is 13 $\pi$ ft^2 or 40.84 ft^2

Step-by-step explanation:

First find the area of the square and subtract it from the area of the circle.

The area of a square is one of the side length squared.

A= 6^2

A = 36

Now find the area of the whole circle.As it indicates that the diameter is 14ft and to find the area of a circle,we need square the radius and multiply it by pi.

Since the diameter is 14 divide it by 2 to find the radius. 14/2 = 7

A= 7^2* $\pi$

A = 49 $\pi$ We will leave the area in terms of pi.

49 $\pi$ - 36 = 13 $\pi$

7 0

2 years ago

the sides of a rectangle are 25 cm and 8 cm. what is the measure, to the nearest degree, of the angle formed by the short side a

ycow [4]

Answer:

72°

Step-by-step explanation:

The lengths 25 cm and 8 cm are the sides of the rectangle.

See the attached diagram of rectangle ABCD.

Now, let us assume the diagonal AC makes x° angle with the shorter side BC i.e.∠ BCA = x°

So, using trigonometry we can write

$\tan x = \frac{AB}{BC} = \frac{25}{8} = 3.123$

⇒ $x = \tan ^{-1} (3.125) = 72.25$ degrees ≈ 72 degrees {Rounded to nearest degree} (Answer)

8 0

2 years ago

When I solve this problem I get a big number, and I don't kwow if it's Ok:

Jlenok [28]

Answer:

undefined

Step-by-step explanation:

6 0

2 years ago

Given:

wlad13 [49]

Answer:

huh

Step-by-step explanation:

3 0

2 years ago

Solve for g. g – (–43) = 19 A. –62 B. –24 C. 24 D. 62

olasank [31]

G-(-43)=19
g+43=19
g=19-43
g=-24

B.

5 0

2 years ago