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2 years ago

Find the following algebra, I am in class and plz give explanation

Mathematics

1 answer:

Lelechka [254]2 years ago

6 0

1) Solving $4a+4b-ac-bc$ we get $(a+b)(4-c)$

2) Solving $16a^4-8b$ we get $8(2a^4-b)$

3) Solving $x^2-8x+15$ we get $(x-3)(x-5)$

Step-by-step explanation:

We need to solve the following expressions:

1) $4a+4b-ac-bc$

We will solve this expression by factoring common terms:

$4a+4b-ac-bc$

Factoring 4 from 4a+4b and -c from -ac-bc

$4(a+b)-c(a+b)$

Taking common term

$(a+b)(4-c)$

2) $16a^4-8b$

We will solve this expression by factoring common terms:

$16a^4-8b$

Taking 8 as common term:

$8(2a^4-b)$

3) $x^2-8x+15$

We can solve the expression by breaking the middle term into 2

$x^2-3x-5x+15\\Finding\,\,common:\\=x(x-3)-5(x-3)\\=(x-3)(x-5)$

Keywords: Finding factors

Learn more about Finding factors at:

#learnwithBrainly

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A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infus

Ne4ueva [31]

9514 1404 393

Answer:

274 mL

Step-by-step explanation:

Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.

Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.

With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...

v/(6 g) = (100 mL)/(25 g)

v = (6 g)(100 mL)/(25 g) = 24 mL

So, the total volume of the infusion is ...

250 mL +24 mL = 274 mL

_____

* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.

Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.

3 0

3 years ago

Which numbers are equivalent to 3/10

Sedbober [7]

Answer:

Multiply numerator and denominator with same number to gwt the answers . There are infinitely many numbers

3/10 × 2/2 = 6/20

3/10 × 5/5 = 15/50

3/10 × 10/10 = 30/100

And so on

8 0

3 years ago

Select the best answer.

expeople1 [14]

Answer:

-sin x

Step-by-step explanation:

sin(3π/3+x)=sin (π+x)=-sin x

sin (π+x)=sin πcos x+cos π sin x=(0)cos x+(-1)sin x=0-sin x=-sin x

7 0

2 years ago

$700 is invested at 4% per annum. How long will it take for the amount to reach $784?

Blababa [14]

Answer:

3yrs

Step-by-step explanation:

Given parameters:

Capital = $700

Percentage interest = 4% per annum

Unknown:

Time it will take for amount to be = $784

Solution:

To find the simple interest on an amount;

I = $\frac{PRT}{100}$

P is the principal

R is the rate

T is the time

I is the interest

Insert the parameters:

I = $\frac{700x 4 x T}{100}$

I = 28T

So;

At the end of the duration:

Principal + Interest = Amount

700+28T = 784

28T = 784 - 700

28T = 84

T = 3yrs

5 0

2 years ago

Se tiene 2 metros de tela y se corta el 85% para hacer cortinas el 50% del resto para hacer las tiras que la sujetan.¿cuantos se

zavuch27 [327]

For this case we have the following statement:

<em>"You have 2 meters of fabric and you cut 85% to make curtains, 50% of the rest to make the strips that hold it. How many centimeters of fabric were left?"</em>

So, we have:

2 meters ---------> 100%

x ----------------------> 85%

Where "x" represents the amount of fabric meters equivalent to 85%.

$x = \frac {85 * 2} {100}\\x = 1.7$

Thus, 1.7 meters of fabric were used to make curtains.

There are 0.3 meters of fabric left, of which half (50%) is used to make the strips that hold the curtain. That is to say:

$\frac {0.3} {2} = 0.15m$

Thus, 0.15 meters of fabric remain.

$0.15 m * \frac {100 cm} {1 m} = 15\ centimeters.$

Thus, 15 cm of fabric remain

Answer;

15 cm

3 0

3 years ago