1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrezito [222]
4 years ago
14

Translate the sentence into an inequality. Twice the difference of a number and 8 is at least 26 . Use the variable w for the un

known number.
Mathematics
1 answer:
Olin [163]4 years ago
7 0
"At least" refers to greater than or equal to (≥).
This is because "at least" means:
- it can't be less than
- it can be equal to
- it can be greater than
This is basically like saying no less than.
If you must have at least 10 oranges for some recipe, then you must have 10 oranges, but you can also have more.

"Twice the difference of a number and 8"
This means that 2 times a number minus 8.
This can be written as 2(w - 8), since w is unknown and it's the difference between w and 8.
The 2 is being multiplied by this because it's 2 times this difference.

"At least 26"
This means ≥ 26.

Now for the actual inequality.
"Twice the difference of a number and 8"
translates to 2(w - 8)
"is at least 26"
translates to ≥ 26
Now put them together.
2(w - 8) ≥ 26

So the answer is 2(w - 8) ≥ 26.

Hope this helps! :)
You might be interested in
in 2003, the average price of a movie ticket was $6.03. In 2010, the average movie ticket price was $7.90 . What is the percent
pav-90 [236]

Answer:

31% (nearest whole percent)

Step-by-step explanation:

use percent change formula:

percent change = [(difference between initial and final value) ÷ initial value] x 100

percent change = [(7.90 - 6.03) ÷ 6.03] x 100 = 31% (nearest whole percent)

7 0
3 years ago
Amy, a nature photographer, randomly sampled photographs she took within the last year. She wanted to find out how many of her p
Sveta_85 [38]

The Constructed  confidence interval for the proportion of her photographs taken within the last year contained flowers is

CI\ E(0.57,0.65)

From the question we are told that:

The proportion of photographs that had flowers P= 0.61

Margin of error of M.E= 0.04

Generally, the equation for Confidence interval for proportion is mathematically given by

CI=0.61 \pm 0.04P \pm M.E

Therefore Confidence interval is

CI=0.61 \pm 0.04

And can also be written as

CI\ E((0.61+0.04),0.61-0.04))

CI\ E(0.57,0.65)

In conclusion the Confidence interval is

CI\ E(0.57,0.65)

For more information on this visit

brainly.com/question/24131141?referrer=searchResults

4 0
3 years ago
A research company desires to know the mean consumption of meat per week among people over age 23. A sample of 164 people over a
Elan Coil [88]

Answer:

The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.1 = 0.9, so z = 1.28

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28*\frac{0.7}{\sqrt{164}} = 0.07

The lower end of the interval is the mean subtracted by M. So it is 4.1 - 0.07 = 4.03 pounds

The upper end of the interval is the mean added to M. So it is 4.1 + 0.07 = 4.17 pounds

Rounded to one decimal place

The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.

8 0
3 years ago
Two less than seven times a number c is written as
Savatey [412]

Answer:

7c-2

Step-by-step explanation:

Let c be the number.

We are asked to write an expression for given verbal description.

7 times the number c would be 7c.

Two less than seven times a number means 2 subtracted from 7c.

Two less than seven times a number c would be 7c-2.

Therefore, our required expression would be 7c-2.

7 0
3 years ago
Calculate the density of a material that has a mass of 52.4g and a volume of 13.5cm3
serg [7]

Answer:

Step-by-step explanation:

P = m/v

Where p is density m is mass and v is volume

Putting values of m and v

P = 52.4/ 13.5

P =3.88

8 0
3 years ago
Read 2 more answers
Other questions:
  • Ming bought 40 pencils and Catherine bought 24. If each package of pencils sold at the store contain the same number of pencils,
    11·2 answers
  • If I flip a coin 10 times, how many times should I get heads?
    10·2 answers
  • Divide:<br><br><br> 98/9,016<br><br><br> 123456789
    10·2 answers
  • Rete made a map that shows the
    9·1 answer
  • On a coordinate plane, a line goes through (0, 4) and (2, 0). The first equation from the previous system of equations is graphe
    12·2 answers
  • K=mv^2/2 solve for v
    11·1 answer
  • Melissas birthday is next week and she has been receiving cards in the mail with different amounts of money
    14·1 answer
  • If log a(9) = 4, what is the value of a 4?
    6·1 answer
  • Someone help ples alk i need is the first two pleassss​
    8·2 answers
  • Please help! Need this ASAP!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!