All categories

3 years ago

Solve 16(t - 1) + 10 > 8(t + 2) + 4(t - 1) + 4t.

Mathematics

2 answers:

ryzh [129]3 years ago

7 0

It will have no solution

Neporo4naja [7]3 years ago

3 0

Answer:

The answer to your question is it has no solution

Step-by-step explanation:

Inequality

16(t - 1) + 10 > 8(t + 2) + 4(t - 1) + 4t

-Expand

16t - 16 + 10 > 8t + 16 + 4t - 4 + 4t

- Group like terms

16t - 8t - 4t - 4t > 16 - 4 + 16 - 10

-Simplify

0 > 18

- It has no solution because the variable is cancelled.

You might be interested in

Which equation could be used to calculate the sum of the geometric series? One-third + two-ninths + StartFraction 4 Over 27 EndF

kondaur [170]

Answer:

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

Step-by-step explanation:

Given the geometric series:

1/3+2/9+4/27+8/81+16/243

First we must know that the series is a finite series with just 5terms.

Before we can know the formula to calculate sum of the first five terms of the series, we must determine its common ratio (r) first.

r = (2/9)÷1/3 = 4/27÷2/9= 8/81÷4/27

r = 2/9 × 3/1

r = 2/3

Similarly;

r = 4/27×9/2

r = 2/3

Since all values of r is the as them the common ratio is 2/3.

If r< 1 in geometric series, then the formula for finding its sum is applicable

Sn = a(1-rⁿ)/1-r

a is the first term = 1/3

r is the common ratio = 2/3

n is the number of terms = 5

Substituting the values in the formula we have:

S5 = 1/3{1-(2/3)^5}/1-2/3

This gives the requires equation

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

4 0

4 years ago

Read 2 more answers

HELP ME PLEASE I NEED THIS LOVE U GUYS <33

Sedaia [141]

Answer:

$\huge\boxed{\sf Volume = 384 \ cm^3}$

Step-by-step explanation:

Slant Height = 10 cm

Base Edge = 12 cm

<u>Finding the Height using Pythagorean Theorem:</u>

$\sf c^2 = a^2 + b^2 \\\\Where \ c = 10\ cm , b = 6\ cm [Half of 12] \ and \ a \ is \ height\\\\10^2 = a^2 + 6^2\\\\100=a^2 +36\\\\100-36 = a^2\\\\64 = a^2\\\\Taking \ sqrt \ on \ both \ sides\\\\Height= 8 \ cm$

$\rule[225]{225}{2}$

<u>Now, Finding the volume:</u>

$\sf Volume = a^2 \frac{h}{3}\\\\ Where \ a \ is base \ edge \ and \ h \ is \ height\\\\Volume = (12)^2 \frac{8}{3} \\\\Volume = 144 \frac{8}{3} \\\\Volume = 48*8\\\\\bold{Volume = 384 \ c m^3}$

$\rule[225]{225}{2}$

Hope this helped!

<h2>~AnonymousHelper1807</h2>

8 0

3 years ago

Is 4(5a-8)+2a equivalent to 12a-6

dem82 [27]

No, it would end up being 20a-32 which is not equivalent to 12a-6

8 0

3 years ago

Read 2 more answers

Intrigued by a 2013 study at the University of Nebraska that suggested marijuana smokers may be thinner than other adults, a gro

Reptile [31]

this question is incomplete, the complete question is:

1. is this model effective

2. what is the correlation coefficient for this data.

3. for a student with a bmi of 25, what is the predicted number of hours under the influence.

Step-by-step explanation:

1. first of all this model is not effective because we have r² as 0.134. this tells us that only 13.4 percent of the of the variations that exist in this data has been explained by the model

1. we get the correlation coefficient by

$+-\sqrt{r^{2} }$

the regression slope coefficient has a negative sign. this is what we would use in calculating the correlation coefficient.

$-\sqrt{r^{2} }$

= -√0.134

= -0.366

therefore the correlation coefficient is -0.366

2. to get the number of hours under the influence with a bmi of 25

the equation is

49.2-1.15bmi

= 49.2-1.15(25)

= 49.2-28.75

= 20.45

8 0

3 years ago

Sammy makes $2362/month as a baseball coach. He is making a budget, and has made the following chart in order to divide his mont

Elis [28]

Sammy calculated the total amount that he deposited by <em>adding up the total amount deposited in each account.</em>

The Checking account is used to pay for fixed and variable essential expenses. In this account, Sammy deposited $1,712.

The Cash account is used for non-essential expenses, like snacks, etc. A total of $260 was deposited into this account.

The Emergency Savings account is used for both other predictable and unpredictable expenses. A total of $340 was deposited into the account.

For the Vacation Savings account, it is used to carter for other long-term expenses. A total of $50 was deposited into the account.

When these accounts are added up, the total deposit made by Sammy can be calculated to be $2,362 ($1,712 + $260 + $340 + $50).

Data and Calculations:

Accounts Checking Cash Account Emergency Vacations

Savings Savings

Expenses:

Essential (fixed) $1,292

Essential (variable) 420

Non-essential $260

Other predictable $130

Other (unpredictable) 210

Other (long-term) $50

Total $1,712 $260 $340 $50

Thus, Sammy calculated the total amount that he deposited by adding up the total deposit in each account.

Link for related question:

brainly.com/question/22429629

5 0

2 years ago