Draw a diagram for this fraction<br><br>2 2/3

Salvador inherited $20,000 and he plans to invest into a savings account that earns 6% interest compounded annually. Assuming he

Scilla [17]

It’s 15,816.95. That the answer

4 0

3 years ago

The fish tank has side lengths 20in, 10in and height 15in. The water level is two inches below the top of the tank. A glass sphe

Kitty [74]

Answer:

Part 1) The new distance from the water to the top of the tank is $1.979\ in$

Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95

Step-by-step explanation:

step 1

Find the total volume of the tank

$V=20*10*15=3,000\ in^{3}$

step 2

Find the volume of the tank if the water level is two inches below the top of the tank

$V=20*10*(15-2)=2,600\ in^{3}$

step 3

Find the volume of the glass sphere

The volume of the glass sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=1\ in$

assume

$\pi=3.14$

substitute

$V=\frac{4}{3}(3.14)(1)^{3}$

$V=4.2\ in^{3}$

step 4

What is the new distance from the water to the top of the tank?

we know that

$2 in -----> represent (3,000-2,600)=400\ in^{3}$

so

using proportion

Find how many inches correspond a volume of $4.2\ in^{3}$

$\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in$

The new distance from the water to the top of the tank is

$2-0.021=1.979\ in$

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to $4.2\ in^{3}$

using proportion

$\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls$

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

4 0

3 years ago

A salesman is carrying a big bag for selling a machine. In addition to the machine that the salesman wants to sell, there is som

stira [4]

The total weight of the bag that the salesman is carrying for selling a machine including some personal stuff is 13.9 Kg.

<h3>What is a fraction?</h3>

A fraction is a rational number that consists of a numerator and a denominator, used to represent a part of the whole thing.

<h3>Calculation:</h3>

It is given that,

A salesman is carrying a big bag for selling a machine.

Consider the weight of the machine = w

So,

The weight of his machine is three kilograms and half a machine. I.e.,

w = 3kg +w/2

⇒ w/2 = 3kg

∴ w = 6kg

Thus, the weight of the machine is 6 Kg.

So, the weight of the repair tool for the machine = a half kilogram and one-fourth of the machine

⇒ 1/2Kg + 1/4w

⇒ 1/2 + 6/4

⇒ 2 Kg

The personal stuff weighs - four kilograms minus a fourth of the weight of the machine.

⇒ 4Kg - w/4

⇒ 4 - 6/4

⇒ 2.5 Kg

He has some supplies that weigh two-fifth of the machine and personal stuff combined.

⇒ 2/5(w + 2.5)

⇒ 2/5 × 8.5

⇒ 3.4 Kg

Thus, the total weight of the bag = 6 Kg + 2 Kg + 2.5 Kg + 3.4Kg = 13.9Kg.

Therefore, the total weight of the salesman's bag is 13.9 Kg.

Learn more about fractions here:

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7 0

2 years ago

Five years ago Janeta age was one_fifth of her mother'sage .Now she is one_third of her mother's age.Find their present ages?

PilotLPTM [1.2K]

Answer:

J - Janeta's age M - mother's age

A) (J-5) = .2 * (M-5)

B) J = (1/3) * M

Subtracting 5 from both sides of B:

B) J -5 = (1/3)M -5

then we substitute the right side of this into the left side of A and we get

(1/3)M -5 = .2 M -1

.333333333333M -5 = .2M -1

.1111111111111111111M = 4

Mother's Age = 36

Janeta's Age = 12

Step-by-step explanation:

5 0

3 years ago

Loretta’s income last year was $81,300. She made $56,800 at her salaried job and had additional passive income. If Loretta earne

adell [148]

Answer:

The answer is $2041.67 approx.

Step-by-step explanation:

Loretta’s income last year was $81,300.

Amount made in salary = $56,800

So, additional passive income is = $81300-56800=24500$ dollars

Given that Loretta earned the same amount of passive income each month for the entire year.

So, her per month passive earning was = $\frac{24500}{12}=2041.67$ dollars

Therefore, the answer is $2041.67 approx.

3 0

3 years ago

Draw a diagram for this fraction2 2/3​

Draw a diagram for this fraction2 2/3