All categories

2 years ago

2/3x + 2= 21/3 solve for x a. 0 b. 1/2 c -2 d. 2

Mathematics

1 answer:

Helen [10]2 years ago

8 0

Answer:

x = 7.5

Step-by-step explanation:

2/3x + 2= 21/3

Subtract 2 from each side

2/3x + 2-2= 21/3-2

2/3x = 21/3 - 6/3

2/3x =15/3

2/3x = 5

Multiply each side by 3/2 to isolate x

2/3x * 3/2 = 5 *3/2

x = 15/2

You might be interested in

If you’re using the inspection method, what constant term would you need in the numerator of this rational expression for (x+5)

Eva8 [605]

If I am using the inspection method, the constant term that I would need in the numerator of this rational expression for (x+5) to be a common factor of (x^2+6x+14) / (x+5) is 11/(x+1)

7 0

3 years ago

Read 2 more answers

-3=t-5s Solve for t I need work shown and I’m so confused on this!!

slega [8]

Answer:

t=5s-3

Step-by-step explanation:

Flip the equation:

5s+t=-3

then add 5s to both sides:

-5s+t+5s=-3+5s

then solve:

5s-3=t

4 0

2 years ago

The value -2 is a lower bound for the zeros of the function shown below.

Juliette [100K]

Answer:

a) true

Step-by-step explanation:

The bottom-line numbers from synthetic division alternate signs, indicating that -2 is a lower bound. The given statement is true.

If the signs were all positive, it would indicate the proposed zero is an upper bound.

A graph shows all real zeros are greater than -2.

4 0

3 years ago

A researcher wishes to estimate, with 99% confidence, the population proportion of adults who think the president of their co

scoray [572]

Answer:

a. n=4148

b. n=3909

c. The sample size is smaller if a known proportion from prior study is used. The difference in sample sizes is 239

Step-by-step explanation:

a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:

$n=p(1-p)(\frac{z}{ME})^2$

Where:

$ME=$ Margin of error
$p=$ is the assumed proportion

#Let p=0.5, substitute in the formula to solve for n:

$n=0.5(1-0.5)\times (2.576/0.02)^2\\\\=4147.36\approx 4148$

Hence, the minimum sample size is 4148

b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:

$n=p(1-p)(z/ME)^2\\\\=0.38(1-0.38)(2.576/0.02)^2\\\\=3908.47\approx3909$

Hence, the minimum sample size is 3909

c. Comparing the sample sizes from a and b:

$n_{0.5}>n_{0.38}\\\\n_{0.5}-n_{0.38}=4148-3909=239$

Hence, the actual sample size is smaller for a known proportion from prior a prior study.

8 0

3 years ago

If a person can carry 40 pounds, and a group of people want to carry 86 pounds of stuff, how many people are necessary to carry

aliina [53]

Answer:

3 people

Step-by-step explanation:

Because 40+40 =80 also equals 2 people so if they can only do 80 together then you would need another person even if its 6 more pounds then 80.

Hope this helps....Also please like if this helped you so I know to do more!!! :)

4 0

2 years ago