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3 years ago

What differwnce between 4,632 ans 20,000 is what number

Mathematics

1 answer:

nikklg [1K]3 years ago

3 0

Hello!!

The difference between 4,632 and 20,000 is:

4,632 - 20,000 = -15,368

Good luck :)

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A chemist has 10% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 120 liters of

kaheart [24]

Answer:

100 liters of 10% solution is used and 20 liters of 40% solution is used

Step-by-step explanation:

Let "X" amount of 10% solution is used. Then the amount of 40% solution used is equal to 120-X

Now

10% of X + 40% of (120-X) = 15% of 120

On solving the above equation, we get

$0.1 X + 0.4 (120-X) = 0.15 *120\\0.1 X + 48 -0.4X = 18\\0.3 X = 30\\X = 100$ liters

Amount of 40% solution used = 120 -X = 120-100 = 20 liters

100 liters of 10% solution is used and 20 liters of 40% solution is used

7 0

3 years ago

Un grupo de compañeros de clase está planificando un viaje de cada uno de ellos hicieron aportación de 14 pesos para gastos de v

Crank

Answer:

$14.8

Step-by-step explanation:

There is a mistype in the question. It should say: ... si cada uno de ellos hicieron una contribución de dieciseis pesos...

So if everybody contributes $14, they make a total of 14*x, where x denotes the number of students. In this scenario, $4 are left, calling y to the cost of the trip, then:

14*x = y - 4 (eq. 1)

In the other scenario, everybody contributes $16 and $6 are in excess, so

16*x = y + 6 (eq. 2)

subtracting eq. 1 to eq. 2:

16*x - 14*x = y + 6 - (y - 4)

2*x = y + 6 - y + 4

2*x = 10

x = 10/2 = 5

Replacing this value in eq. 1:

14*5 = y - 4

70 + 4 = y

y = $74

If every student pays: 74/5 = $14.8, then they would get altogether the exact cost of the trip

7 0

3 years ago

What is the perimeter of this shape?

PSYCHO15rus [73]

Given:

Given that the sides of the shape.

The given shape consists of 8 sides.

We need to determine the perimeter of the given shape.

Perimeter:

The perimeter of the figure can be determined by adding all the lengths of the sides of the shape.

Thus, we have;

$Perimeter=10+4+2+4+6+4+2+4$

Adding the values, we get;

$Perimeter = 36$

Thus, the perimeter of the given shape is 36 feet.

5 0

3 years ago

Read 2 more answers

Find the fourth roots of 256(cos 240° + i sin 240°).

Mashcka [7]

Answer with Step-by-step explanation:

We are given that

We have to find the fourth roots of given complex number.

$(256)^{\frac{1}{4}}=(4^4)^{\frac{1}{4}}=4^^{\frac{1}{4}\times 4}=4$

By using the formula

$(a^b)^x=a^{bx}$

$\theta=240^{\circ}$

$\theta=\frac{240}{4}=60^{\circ}$

Angle of rotation= $\frac{360}{4}=90^{\circ}$

Therefore, the four roots of given complex number are

$4(cos 60^{\circ}+i sin60^{\circ})$

$4(cos150^{\circ}+i sin150^{\circ})$

$4(cos240^{\circ}+isin 240^{\circ})$

$4(cos330^{\circ}+i sin330^{\circ})$

8 0

3 years ago

2. A lunch stand makes s.75 profit on each chef's salad and $1.20 profit on each Caesar salad. On a typical weekday, it sells be

kow [346]

Let's let

x = the number of chef salads, x>=0

y = the number of Caesar salads, y>=0

The constrains are:

40 <= x <= 60

35 <= y <= 50

x + y <= 100

The objective function here is F(x, y) = 0.75x + 1.20y

The corner points are (40, 35), (60, 35), (60, 40), (50, 50) and (40, 50).

F (40, 35) = 0.75*40 + 1.20*35 = $72

F (60, 35) = 0.70*60 + 1.20*35 = $84

F (60, 40) = 0.75*60 + 1.20*40 = $93

F (50, 50) = 0.75*50 + 1.20*50 = $97.50

F (40, 50) = 0.75*40 + 1.20*50 = $90

Thus, we conclude to maximize the profit 50 Chef and 50 Caesar salads should be prepared.

8 0

4 years ago