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3 years ago

How do you solve for t in the expression a=p+prt explain please!!

Mathematics

1 answer:

natta225 [31]3 years ago

7 0

Answer:

t=a-p/pr

Step-by-step explanation:

it is called a literal equation with only variables and you do order of operations backwards subtract p so you have a-p then divide by pr

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Length of the median CP

ehidna [41]

Given:

ΔABC $\sim$ ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

$$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}$

$$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}$

Do cross multiplication.

$$\Rightarrow 12(2x+8)=16(3x-12)$

$$\Rightarrow 24x+96=48x-192$

Add 192 on both sides.

$$\Rightarrow 24x+96+192=48x-192+192$

$$\Rightarrow 24x+288=48x$

Subtract 24x from both sides.

$$\Rightarrow 24x+288- 24x=48x- 24x$

$$\Rightarrow 288=24x$

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

= 36 - 12

= 24

The length of median CP is 24.

7 0

3 years ago

I need help with this please

Lelechka [254]

There are 36 possible combinations that can occur when 2 dice are rolled. For the sake of this question, we'll count instances where dice 1 = 3/dice 2 = 2 and dice 1 = 2/dice 2 = 3.

Now, let's think about all of the possible ways a total of 5 could be rolled.

1 + 4

2 + 3

3 + 2

4 + 1

That's 4 possibilities to roll a total of 5 out of 36 possible outcomes.

4 / 36 = ? / 180

---Now, we need to use a proportion in order to figure out the possibilities out of 180.

36x = 720

x = 20

If you rolled a pair of fair dice 180 times, you would expect to roll a total of 5, 20 times.

Hope this helps!

4 0

2 years ago

2. In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviati

Kobotan [32]

Answer: $85,000

Step-by-step explanation:

Given : In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviation of $12,000.

$\mu_M=40,000\ \ ;\sigma_M=12,000$