All categories

3 years ago

Bottle A contains 4 ounces of water, which is 25% of the amount of water in Bottle B. How much water is there in Bottle B?

Mathematics

1 answer:

sveticcg [70]3 years ago

6 0

Answer:

B=16 ounces

C=24 ounces

B=1/0.75=133%

Step-by-step explanation:

we have that

A≡0.25B (25%), if A=4 ounces then B=4/0.25 = 16 ounces

C=1.5B (150%), if B=16 ounces then C=1.5*(16 ounces) = 24 ounces

D≡xB (?%), if D=12 ounces then x=12/16 = 0.75 ≡ 75%, but xB≡D ⇒ B≡D/x →

B≡12(1/0.75)= B=12*(1.333)→ B≅133%D

You might be interested in

Find the radius of the circle below. Round your answer to the nearest tenth.

Butoxors [25]

Answer:

5.8 cm

Step-by-step explanation:

Area of the shaded sector of the circle = 31.2 cm²

Angle (θ) of the minor sector = 360 - 256 = 104°

Are of sector of a circle is given as, θ/360*πr²

Therefore:

$\frac{104}{360}*3.142*r^2 = 31.2$

$0.29*3.142*r^2 = 31.2$

$0.91*r^2 = 31.2$

Divide both sides by 0.91

$\frac{0.91*r^2}{0.91} = \frac{31.2}{0.91}$

$r^2 = \frac{31.2}{0.91}$

$r^2 = 34.286$

$r = \sqrt{34.286}$

$r = 5.8$ (nearest tenth)

6 0

3 years ago

Angles 1 and 2 are complementary and congruent. what is the measure of angle 1? 30° 45° 50° 75°

lesantik [10]

see the attached figure to better understand the problem

we know that

1) If angle 1 and angle 2 are complementary angles

then

m∠1+m∠2= $90\°$ ------> equation A

2) If angle 1 and angle 2 are congruent angles

then

m∠1=m∠2 ------> equation B

Substitute equation B in equation A

m∠1+(m∠1)= $90\°$

2m∠1= $90\°$

m∠1= $45\°$

therefore

<u>the answer is</u>

$45\°$

8 0

3 years ago

Read 2 more answers

∠A∠A and ∠B∠B are vertical angles with m∠A=xm∠A=x and m∠B=5x−80m∠B=5x−80 . What is m∠Am∠A ?

iris [78.8K]

The Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent .Given <A and <B are vertical angles so they are equal.

<A=<B.

Measure of <A=x and <B=5x-80

Or 5x-80=x

Adding 80 both sides

5x-80+80=x+80

5x=x+80

Subtracting x both sides

5x-x=x-x+80

4x=80

Dividing both sides by 4

x=20

Measure of <A= x= 20 degrees.

8 0

3 years ago

Read 2 more answers

An equation is shown.

Anit [1.1K]

We take the equation 4x+y=5 and subtract 4x from both sides to get
y = 5 - 4x
The answer to this question is <span>y=5−4x.</span>

4 0

4 years ago

Complete this sentence with the best of choices given

suter [353]

It means that the two line segments, EF and GH, are A, parallel.

The symbol between the segments (ll) is of two parallel lines, so it's stating that the segments are parallel.

5 0

4 years ago