What kind of measurement would to describe the amount of water a pot can hold

Beaker A contains 1 liter which is 15 percent oil and the rest is vinegar, thoroughly mixed up. Beaker B contains 2 liters which

Tanzania [10]

Answer:

Add 1.25 litres of oil.

Step-by-step explanation:

Contents in beaker A implies;

15% of oil in 1 litre = 0.15 litres of oil

So that, there are 0.15 litres of oil and 0.85 litres of vinegar in beaker A.

Contents in beaker B implies:

55% of oil in 2 litres = 1.1 litres of oil

So that, thee are 1.1 litres of oil and 0.9 litres of vinegar in beaker B.

Half of contents of B poured into A implies that beaker A now contains:

0.15 litres + 0.55 litres = 0.7 litres of oil

0.85 litres + 0.45 litres = 1.3 litres of vinegar

The percentage of oil in A now = $\frac{0.7}{2}$ x 100%

= 35%

To increase the percentage of oil to 60%, then:

0.7 litres + 1.25 litres = 1.95 litres of oil

But the new total litres of the content in beaker A = 3.25 litres

So that;

$\frac{1.95}{3.25}$ x 100% = 60%

Therefore, to produce a mixture which is 60% oil, add 1.25 litres of oil.

7 0

2 years ago

Please help me explain as well. AD is 48. I will give brainliest.

otez555 [7]

Answer:

The area of the rectangle is 48

Step-by-step explanation:

We know that AE is 6 and ED is 8, since it forms a triangle, use the Pythagorean theorem to find AD, which is one side of the rectangle.

The Pythagorean theorem says that a^2 + b^2 = c^2.

a is AE, b is ED, and c is AD, so 6^2 + 8^2 = c^2, 36 + 64 = c^2, 100 = c^2, 10 = c, so AD is 10

The area of the triangle is half of AE times ED, so 1/2(6)(8) = 1/2(48) = 24, the area of the triangle is 24.

Since the area of a triangle is 1/2 of the base times the height, we can figure out the height:

A = 1/2bh, 24 = 1/2(10)h, 24 = 5h, 4.8 = h, so the height of the triangle (and rectangle) is 4.8.

The height of the triangle is also the height of the rectangle:

The area of the rectangle is 4.8*10 = 48

8 0

2 years ago

HELP WITH ANY OR ALL THESE PROBLEMS ASAP PLEASE LIKE NOW PLEASE<br>CAN SOMEONE PLEASE HELP

LiRa [457]

Ques 8:

The Volume(V) in cubic feet of an aquarium id modeled by the polynomial function V(x)= $x^{3}+2x^{2}-13x+10$

a) We have to explain that why x =4 is not a possible rational zero.

By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.

For this , we will substitute the value of x in the given function.

$V(x)=x^{3}+2x^{2}-13x+10$

$V(4)=4^{3}+2(4)^{2}-13(4)+10$

$V(4)=54$ which is not equal to zero.

Therefore, x=4 is not a possible rational zero.

(b) To show that (x-1) is a factor of V(x).

By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.

Let (x-1)=0

So, x=1.

Substituting x=1 in the given function.

$V(1)=1^{3}+2(1)^{2}-13(1)+10$

$V(1)= -10+10$

V(1) = 0

Therefore, (x-1) is a factor of V(x).

Now we will factorize the given function.

Dividing the given function by (x-1).

On dividing, we get quotient as $x^{2}+3x-10$

So, factored form is = $(x-1)(x^{2}+3x-10)$

= $(x-1)(x^{2}+5x-2x-10)$

= $(x-1)(x(x+5)-2(x+5))$

= $(x-1)(x+5)(x-2)$

(c) So, the dimensions are 1,2 and -5.

5 0

2 years ago

18. An urn contains 3 red balls, 2 green balls and 1 yellow ball. Three balls are selected at random and without replacement fro

Goryan [66]

Answer:

27.77%

Step-by-step explanation:

The probability of not drawn a red ball is 3/6. The probability of not drawn a green ball is 4/6, and the probability of not drawn a yellow ball is 5/6. So, the probability of not drawn at least one color is the multiplication of the probabilities of each color, so (3/6)*(5/6)*(4/6) = 0.2777.

5 0

2 years ago

Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth .

maria [59]

Base Surface Area = π×42
= 50.265482457437 inches2
Lateral Surface Area = π×4×√42 + 4.72440944881892
= 77.789838023204 inches2
Total Surface Area = 128.05532048064 inches2

Or in square centimeters:

Base Surface Area = π×10.162
= 324.2927866224 centimeters2
Lateral Surface Area = π×10.16×√10.162 + 122
= 501.8689189905 centimeters2
Total Surface Area = 826.1617056129 centimeters2

8 0

2 years ago