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2 years ago

Divide 60 kg in the ratio of 5 : 7.

2 answers:

6 0

The ratio can be written in parts as shown below;
$\frac{5}{12} : \frac{7}{12}$
Then, 60 can be divided as shown below;
$\frac{5}{12} *60: \frac{7}{12} *60$
25kg:35kg

taurus [48]2 years ago

4 0

When we divide a number by a fraction, the turn-out is that we multiply the number to the reciprocal of the fraction. In this case, we are given with 60 kg and a fraction of 5/7. The product is equal to 60 kg * (7/5) equal to 84 kg. kg is remained uncanceled

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The earth has a mass of approximately 6\cdot 10^{24}6⋅10 24 6, dot, 10, start superscript, 24, end superscript kilograms (\text{

Alex_Xolod [135]

Answer:

0.02

Step-by-step explanation:

The volume of the earth's oceans is approximately 1.34\cdot 10^{9}1.34⋅10

1, point, 34, dot, 10, start superscript, 9, end superscript cubic kilometers (\text{km}^3)(km

)left parenthesis, start text, k, m, end text, cubed, right parenthesis, and ocean water has a mass of about 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\text{km}^3}1.03⋅10

1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start text, k, m, end text, cubed, end fraction .

To simplify, we will use the product of powers property of exponents that says that x^a\cdot x^b = x^{a+b}x

⋅x

a+b

x, start superscript, a, end superscript, dot, x, start superscript, b, end superscript, equals, x, start superscript, a, plus, b, end superscript.

\qquad 1.34\cdot 10^{9}\,\cancel{\text{km}^3} \cdot 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\cancel{\text{km}^3}} = 1.3802 \cdot 10^{21}\,\text{kg}1.34⋅10

⋅1.03⋅10

=1.3802⋅10

kg1, point, 34, dot, 10, start superscript, 9, end superscript, start cancel, start text, k, m, end text, cubed, end cancel, dot, 1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start cancel, start text, k, m, end text, cubed, end cancel, end fraction, equals, 1, point, 3802, dot, 10, start superscript, 21, end superscript, start text, k, g, end text

Hint #2

Next we want to know what portion of the earth's mass this represents. We have:

\qquad \begin{aligned} \dfrac{\text{mass of the oceans}}{\text{total mass of the earth}} &= \dfrac{1.3802 \cdot 10^{21}\,\text{kg}}{6\cdot 10^{24}\,\text{kg}} \\\\ &= \dfrac{1.3802}{6\cdot 10^{3}} \\\\ &= \dfrac{1.3802}{6000} \\\\ &= 0.0002300\overline{3} \end{aligned}

total mass of the earth

mass of the oceans

6⋅10

1.3802⋅10

6⋅10

1.3802

6000

1.3802

=0.0002300

To convert this to a percent, we multiply by 100100100, so the oceans represent 0.02300\overline{3}\%0.02300

%0, point, 02300, start overline, 3, end overline, percent of the earth's total mass, according to these figures.

Hint #3

To the nearest hundredth of a percent, 0.020.020, point, 02 percent of the earth's mass is from oceans.

6 0

2 years ago

A lock has 5 buttons. The lock is opened by pushing two buttons simultaneously and then by pushing one button alone. How many co

Pavel [41]

We first must calculate how many ways 2 oblects can be chosen from 5.

combinations = 5! / 2! * (5-2)!

combinations = 5*4 / 2

combinations = 10

There are 10 ways to choose the 2 buttons and 5 ways to choose the final butto so there are 10 * 5 = 50 different ways.

Source

1728.com/combinat.htm

7 0

2 years ago

Solve the following multiplication and division problems. a. 8 T. 1,398 lb. 14 oz. × 6 b. 349 lb. 6 oz. ÷ 130 c. 6 T. 294 lb. ÷

tester [92]

Answer: a) 278382 oz

b) 43 oz

c) 64.1 oz

Step-by-step explanation:

a) 8 T. 1,398 lb. 14 oz. × 6

First we need to change it in 'oz'.

As we know that

$1\ ton=32000\ oz\\\\1\ lb=16\ oz$

so, it becomes,

$8\times 32000+1398\times 16+14\ oz\\\\=278382\ oz$

8 T. 1,398 lb. 14 oz. × 6 becomes

$278382\times 6\\\\=1670292\ oz$

b) 349 lb. 6 oz. ÷ 130

It becomes,

$349\times 16+6\ oz\\\\=5590\ oz\\\\\text{ at last it becomes}\\\\=\frac{5590}{130}\\\\=43\ oz$

c) 6 T. 294 lb. ÷ 3,071

First it becomes,

$6\times 32000+294\times 16\ oz\\\\=196704\ oz$

At last it becomes,

$\frac{196704}{3071}\\\\=64.1\ oz$

Hence, a) 278382 oz

b) 43 oz

c) 64.1 oz

6 0

2 years ago

Read 2 more answers

If a baker doubles a recipe that calls for 6-2/3 cups of flour. How many cups will be needed in all?

nadya68 [22]

Hey there!

The easiest way I could think to do this is by converting your mixed number to an improper fraction and multiplying the fraction by 2, or 2 over 1.

$6 \frac{2}{3} = 6*3+2 = \frac{20}{3}$

$\frac{20}{3} * \frac{2}{1}$

To multiply fractions, you can just multiply the numerators and denominators and simplify, if applicable.

$\frac{20}{3} * \frac{2}{1} = \frac{40}{3}$

Since you can't simplify this fraction in its improper form, just convert it back into a mixed number.

$\frac{40}{3} = 13 \frac{1}{3}$

So, your answer will be $13 \frac{1}{3}$ .

Hope this helped you out! :-)

4 0

2 years ago

Read 2 more answers

A solar panel dealer acquires is used panel for $9,000, with terms FOB shipping point. Compute total inventory cost assigned to

malfutka [58]

Answer:

Total inventory cost is $9,965.

Step-by-step explanation:

The terms free on board FOB shipping point implies that the delivery of a good is taken by the buyer after it left the supplier's shipping dock. Therefore, any other relevant cost incurred afterwards will be paid by the buyer.

From the all the cost listed in the question, the $1,500 for sales staff salaries, $110 for online advertising, and $300 for lawn care are NOT related to the inventory cost because they are administrative and sales expenses.

Therefore, the total inventory cost can be calculated using the following relevant cost:

Acquisition cost = $9,000

Transportation-in by train = $280

Shipping insurance = $135

Used panel restoration = $550

Therefore, we have:

Total inventory cost = Acquisition cost + Transportation-in by train + Shipping insurance + Used panel restoration = $9,000 + $280 + $135 + $550 = $9,965.

3 0

2 years ago