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2 years ago

Make t the subject of the formula P= 3-2t ————— 4+t

Mathematics

1 answer:

Rufina [12.5K]2 years ago

5 0

Answer:

$t = \frac{3 - 4p}{p + 2}$

Step-by-step explanation:

Given

$P = \frac{3 - 2t}{4 + t}$

Required

Make t the subject

$P = \frac{3 - 2t}{4 + t}$

Cross Multiply

$P * (4 + t) = 3 - 2t$

$4p + tp = 3 - 2t$

Collect Like Terms

$tp + 2t = 3 - 4p$

Factorize:

$t(p+2) = 3 - 4p$

Make t the subject

$t = \frac{3 - 4p}{p + 2}$

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I need this asap ty:p

Anastasy [175]

Answer:

(a) x = -2y

Step-by-step explanation:

You can tell if an equation is a direct variation equation if it can be written in the format y = kx.

Note that there is no addition and subtraction in this equation.

Let's put these equations in the form y = kx.

(a) x = -2y

y = x/-2 → y = -1/2x
This is equivalent to multiplying x by -1/2, so this is an example of direct variation.

(b) x + 2y = 12

2y = 12 - x
y = 6 - 1/2x
This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.

-2y = -3x
y = 3/2x
This follows the format of y = kx, so it is an example of direct variation.

(d) 5x² + y = 0

y = -5x²
This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.

(e) y = 0.3x + 1.6

1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.

(f) y - 2 = x

y = x + 2
2 is being added to x, so it is <u>NOT</u> an example of direct variation.

The following equations are examples of direct variation:

x = -2y
3x - 2y = 0

7 0

3 years ago

Read 2 more answers

Text me the answer please

svetoff [14.1K]

P(4)= 1/8

This is because there are 8 equal parts and 4 is just one of those 8 parts.

8 0

3 years ago

Read 2 more answers

Solve 11x+10y=32..... Will mark the brainliest!

erica [24]

The equation 11x + 10y = 32 is a linear equation, and the solution to the linear equation 11x + 10y = 32 is $y = \frac{32 - 11x}{10}$

<h3>How to solve the equation?</h3>

The equation is given as:

11x + 10y = 32

Subtract 11x from both sides

10y = 32 - 11x

Divide both sides by 10

$y = \frac{32 - 11x}{10}$

Hence, the solution to the linear equation 11x + 10y = 32 is $y = \frac{32 - 11x}{10}$

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

4 0

2 years ago

Below is the five-number summary for 144 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of

bearhunter [10]

Answer:

The IQR is given by:

$IQR = Q_3 -Q_1 = 28-18= 10$

If we want to find any possible outliers we can use the following formulas for the limits:

$Lower= Q_1 - 1.5 IQR$

$Upper= Q_3 + 1.5 IQR$

And if we find the lower limt we got:

$Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3$

$Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43$

So then the left boundary for this case would be 3 days

Step-by-step explanation:

For this case we have the following 5 number summary from the data of 144 values:

Minimum: 9 days

Q1: 18 days

Median: 21 days

Q3: 28 days

Maximum: 56 days

The IQR is given by:

$IQR = Q_3 -Q_1 = 28-18= 10$

If we want to find any possible outliers we can use the following formulas for the limits:

$Lower= Q_1 - 1.5 IQR$

$Upper= Q_3 + 1.5 IQR$

And if we find the lower limt we got:

$Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3$

$Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43$

So then the left boundary for this case would be 3 days

6 0

3 years ago

If AB = 4 centimeters, which is closest to BC?

Misha Larkins [42]

Answer:

The correct answer AC = 11.52

Step-by-step explanation:

From the figure attached with this answer shows the triangle ABC.

BC=4 centimeters, m angle B=m angle c, and m angle a = 20 degrees

To find AC

From the figure we can see that D is the mid point and AD⊥BC

Then BD = CD = 4/2 = 2 cm

<BAD = 10° and <CAD = 10°

By using trigonometric ratio,

sin 10 = CD/AC = 2/AC

AC = 2/sin 10 = 2/0.1736 = 11.52

Therefore the value of AC = 11.52 cm

4 0

3 years ago

Read 2 more answers