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4 years ago

Does anyone know this ?

Mathematics

2 answers:

vodomira [7]4 years ago

5 0

Answer:

Always

Step-by-step explanation:

If the irrational parts of the numbers have zero sum, the sum is rational. If not, the sum is irrational. It is true, for example, for 2 7, 3. It is false, for example, for3+2 5,−2 5 .

Kryger [21]4 years ago

4 0

Answer:

always

Step-by-step explanation:

Rational numbers can be expressed as a fraction of two integers. So, adding two rationals is the same as adding two such fractions.

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Julia completes her homework in an hour. She spends 7/12 of the time doing her math homework and 1/6 of the time practicing her

dsp73

Answer:

15 min

Step-by-step explanation:

Julia spends $\frac{7}{12}$ in math.

and spends $\frac{1}{6}$ in spelling.

Lets make $\frac{1}{6}*2=\frac{2}{12}$ for calculation propuses.

Julia spends $\frac{7}{12} +\frac{2}{6}=\frac{9}{12}$ doing her math and spelling homework.

And lets make $1 hour =\frac{12}{12}$

$\frac{12}{12}-\frac{9}{12} =\frac{3}{12}$ and $\frac{3}{12} / 3 =\frac{1}{4}$

So, Julia spends $\frac{1}{4} hour$ in reading.

If I divide an hour into 4 equal units, each unit equals 15 min, so 1 unit is 15 min.

Julia spends 15 min in reading.

4 0

3 years ago

The number of mosquitoes active near a pond is given by the function f(x)=32x−2 , where x is the number of minutes after dusk

galina1969 [7]

Answer:

Yes. The interval (0, 5) is a reasonable solution because the function is positive in that region

Step-by-step explanation:

Hope it helps and I also hope yoh have a great rest of your day!

3 0

3 years ago

A horse was galloping at average speed of 50km/hr for the first 12 minutes. For the next x minutes, the horse slowed down and it

Wewaii [24]

The total distance travelled is 1075.91 km.

<h3>What is average speed?</h3>

The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity.

45 * (x +12)= 50* 1/5 + 1/2 *x

45x + 540= 10+ 0.5 x

44.5 x = 530

x= 11.91 (neglect the negative sign cause time can't be negative)

So, distance= 45* 23.91 = 1075.91 Km

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3 0

2 years ago

Cullumber company had $170,000 of net income in 2021 when the selling price per unit was $152, the variable costs per unit were

taurus [48]

The number of units sold in 2021 = 13,300 units.

The number of units that would have to be sold in 2022 to reach the stockholder's desired profit level = 15,200 units.

Assuming that Cullumber company sells the same number of units in 2022 as it did in 2021, the selling price in order to reach the stockholder's desired profit level = $160.

The net income of a company is its profit function, derived by the formula:

Profit = Sales - Cost.

Sales are the product of the number of units sold and per unit selling price.

Cost is the sum of fixed costs and the product of the number of units produced to the variable cost per unit.

Assuming the number of units sold in 2021 to be x,

we can say sales = $152x, and

cost = ${574800 + 96x}.

Therefore, profit = sales - cost,

or, 170000 = 152x - {574800 + 96x},

or, 170000 = 56x - 574800

or, 56x = 574800 + 170000 = 744800,

or, x = 744800/56 = 13300.

Therefore, the number of units sold in 2021 was 13,300.

In 2022, the desired profit = $170,000 + $106,400 = $276,400.

Assuming the number of units sold in 2022 to be n, at the same unit data and fixed cost, we can say that:

Sales = $152n, and

Cost = ${574800 + 96n}.

Therefore, profit sales - cost,

or, 276400 = 152n - {574800 + 96n},

or, 276400 = 56n - 574800,

or, 56n = 574800 + 276400 = 851200,

or, n = 851200/56 = 15200.

Therefore, the number of units sold in 2022 should be 15,200 to reach the desired profit of the stakeholders.

When the number of units sold in 2022 is the same as in 2021, that is, the number of units = 13,300, we assume the per unit selling price to be $P.

Now we can say that,

Sales = $13300P.

Costs = ${574800 + 96*13300} = ${574800 + 1276800} = $1851600.

Therefore, profit = sales - cost,

or, 276400 = 13300P - 1851600,

or, 13300P = 1851600 + 276400 = 2128000,

or, P = 2128000/13300 = 160.

Therefore, the new selling price per unit to reach stockholders' desired profit, assuming the number of units sold in 2022 to be the same as in 2021 is $160.

Refer to the attachment for the required questions.

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