All categories

3 years ago

3t/2+7=4t-3 please answer asap and step by step please

2 answers:

7 0

t in (-oo:+oo)

(3*t)/2+7 = 4*t-3 // - 4*t-3

(3*t)/2-(4*t)+3+7 = 0

(3*t)/2-4*t+3+7 = 0

10-5/2*t = 0 // - 10

-5/2*t = -10 // : -5/2

t = -10/(-5/2)

t = 4

t = 4 is the answer

hope it helps~

suter [353]3 years ago

6 0

3t/2+7= 4t-3

Try to get the t all by itself.

Combine like terms.

3t/9= 4t-3

Multiply 3t on both sides.

9= 12t-3

Add the three on both sides.

12=12t

Divide by 12 into both sides.

t=1

I hope this helps!
~cupcake

You might be interested in

When rolling a number cube, what is the probability of rolling a 2 or an even number. Express your answer as a fraction in lowes

Mamont248 [21]

Answer:

https://www.sketchywebsite.net/

Step-by-step explanation:

4 0

3 years ago

Which number produces an irrational number when added to 0.5?

katen-ka-za [31]

Any irrational number when added to 0.4 produce an irrational sum.

Example: #0.4+pi# is irrational

5 0

3 years ago

pleaseee help how do i write an equation in slope-intercept form for the line with slope 1/3 and y-intercept -3?

Montano1993 [528]

Answer:

y=1/3x -3

Step-by-step explanation:

Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept, or the y-value at which the line intersects the y-axis.

Your slope is 1/3, and your y-int. is -3, so substitute those values in:

y=1/3(x) - 3

8 0

3 years ago

What’s an irrational number between 5.2 and 5.5

Reika [66]

5.3851648071..... is the irrational number your looking for

3 0

3 years ago

According to Padgett Business Services, 20% of all small-business owners say the most important advice for starting a business i

elena-s [515]

Answer:

a) There is a 6.88% probability that none of the owners would say preparing for long hours and hard work is the most important advice.

b) There is a 1.93% probability that six or more owners would say preparing for long hours and hard work is the most important advice.

c) There is a 10.32% probability that exactly five owners would say having good financing ready is the most important advice.

d) The expected number of owners who would say having a good plan is the most important advice is 2.28

Step-by-step explanation:

Questions a), b), c) are all solved as binomial distribution problems.

Question d) is a simple calculation.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

For these problems

12 business owners were contacted, so $n = 12$ .

a. What is the probability that none of the owners would say preparing for long hours and hard work is the most important advice?

20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work, so $\pi = 0.2$ .

That is P(X=0) when $\pi = 0.2$ .

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{12,0}.(0.2)^{0}.(0.8)^{12} = 0.0688$

There is a 6.88% probability that none of the owners would say preparing for long hours and hard work is the most important advice.

b. What is the probability that six or more owners would say preparing for long hours and hard work is the most important advice?

20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work, so $\pi = 0.2$ .

This is:

$P = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 6) = C_{12,6}.(0.2)^{6}.(0.8)^{6} = 0.0155$

$P(X = 7) = C_{12,7}.(0.2)^{7}.(0.8)^{5} = 0.0033$

$P(X = 8) = C_{12,8}.(0.2)^{8}.(0.8)^{4} = 0.0005$

$P(X = 9) = C_{12,9}.(0.2)^{9}.(0.8)^{3} = 0.00006$

$P(X = 10) = C_{12,10}.(0.2)^{10}.(0.8)^{2} = 0.000004$

$P(X = 11) = C_{12,11}.(0.2)^{11}.(0.8)^{1} = 0.0000002$

$P(X = 12) = C_{12,12}.(0.2)^{12}.(0.8)^{0} = 0.000000004$

So:

$P = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.0155 + 0.0033 + 0.0005 + 0.000006 + 0.000004 + 0.0000002 + 0.000000004 = 0.0193$

There is a 1.93% probability that six or more owners would say preparing for long hours and hard work is the most important advice.

c. What is the probability that exactly five owners would say having good financing ready is the most important advice?

Twenty-five percent say the most important advice is to have good financing ready, so $\pi = 0.25$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 5) = C_{12,5}.(0.25)^{5}.(0.75)^{7} = 0.1032$

There is a 10.32% probability that exactly five owners would say having good financing ready is the most important advice.

d. What is the expected number of owners who would say having a good plan is the most important advice?

Nineteen percent say having a good plan is the most important advice, so that is $0.19*12 = 2.28$

The expected number of owners who would say having a good plan is the most important advice is 2.28

4 0

3 years ago