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
kykrilka [37]
3 years ago
6

Ayana bought a container of peanuts. She gave 1/4 of it to one sister, 1/3 to another sister, and she kept the rest for herself.

What fraction did she keep?
Mathematics
1 answer:
dem82 [27]3 years ago
4 0
5/12 of a container of peanuts
You might be interested in
What's the pattern?<br> 1,2,4,8,16.....
Inessa05 [86]
You have to add the last number to itself. So the next number would be 32 because 16 + 16 equals 32. Then you add 32 + 32 so the next number would be 64
1, 2, 4, 8, 16, 32, 64, 128
7 0
3 years ago
If logb2=x and logb3=y, evaluate the following in terms of x and y:
Alja [10]

log_b{162} = x + 4y\\\\log_b324 = 2x+4y\\\\log_b\frac{8}{9} = 3x-2y\\\\\frac{log_b27}{log_b16} = 3y-4x

<em><u>Solution:</u></em>

Given that,

log_b2 = x\\\\log_b3 = y --------(i)

<em><u>Use the following log rules</u></em>

Rule 1: log_b(ac) = log_ba + log_bc

Rule 2: log_b\frac{a}{c} = log_ba - log_bc

Rule 3: log_ba^c = clog_ba

a) log_b{162}

Break 162 down to primes:

162 = 2^1 \times 3^4

log_b{162} =log_b 2^1. 3^4\\\\By\ rule\ 1\\\\ log_b{162} = log_b 2^1 +log_b 3^4\\\\By\ rule\ 3\\\\1log_b2 + 4log_b3\\\\1x+4y\\\\x+4y

Thus we get,

log_b162 = x + 4y

Next

b) log_b 324

Break 324 down to primes:

324 = 2^2 \times 3^4

log_b324 = log_b 2^2.3^4\\\\By\ rule\ 1\\\\log_b324 = log_b2^2 + log_b3^4\\\\By\ rule\ 3\\\\log_b324 = 2log_b2 + 4log_b3\\\\From\ (i)\\\\log_b324 = 2x + 4y

Next

c) log_b\frac{8}{9}

By rule 2

log_b\frac{8}{9} = log_b8 - log_b9\\\\log_b\frac{8}{9} = log_b 2^3 - log_b3^2\\\\By\ rule\ 3\\\\log_b\frac{8}{9} =  3 log_b2 - 2log_b3\\\\From\ (i)\\\\log_b\frac{8}{9} =  3x - 2y

Next

d) \frac{log_b27}{log_b16}

By rule 2

\frac{log_b27}{log_b16} = log_b27 - log_b16\\\\ \frac{log_b27}{log_b16} = log_b3^3 - log_b2^4\\\\By\ rule\ 2\\\\ \frac{log_b27}{log_b16} = 3log_b3 - 4log_b2 \\\\From\ (i)\\\\\frac{log_b27}{log_b16} =  3y - 4x

Thus the given are evaluated in terms of x and y

3 0
3 years ago
The Federal Government is stepping up efforts to reduce average response times of fire departments to fire calls. Nationwide, th
TiliK225 [7]

Answer: in order to qualify, the time must be at least 15.93 minutes

Step-by-step explanation:

Let x be a random variable representing the average response times of fire departments to fire calls. Since it follows a normal distribution, we will determine the z score by applying the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = population standard deviation

From the information given,

µ = 12.8 minutes

σ = 3.7 minutes

in order to qualify for the special safety award, the probability value would be to the right of the z score corresponding to 80%

The z score corresponding to 80% on the normal distribution table is 0.845

Therefore,

0.845 = (x - 12.8)/3.7

0.845 × 3.7 = x - 12.8

3.13 = x - 12.8

x = 12.8 + 3.13 = 15.93

7 0
3 years ago
What is the square root of 16
ch4aika [34]
The square root of 16 is 4
5 0
3 years ago
Read 2 more answers
The range of the function f(x) = x + 5 is {7, 9). What is the function's domain?​
Maru [420]

Answer:

(2,4)

Step-by-step explanation:

The range is the y values

y = x+5

Let y=7

7 =x+5

Subtract 5

7-5 x+5-5

2=x

Let y= 9

Subtract 5

9-5 x+5-5

4=x

The domain is (2,4)

8 0
3 years ago
Other questions:
  • What is the product of 8 and 90 what is the answer?
    5·1 answer
  • What is the value of x?<br><br> x−1/6=8<br><br> Enter your answer in the box in simplest form.
    14·2 answers
  • - a/6 =1<br> Help Please
    14·1 answer
  • In a standard deck of cards there are four suits: spades, clubs, hearts, and diamonds. Each suit has one each of 13 cards: ace,
    12·2 answers
  • Dante plans to put 80% of his paycheck into a savings account and spend the other 20%. His paycheck this week was 295$. About ho
    14·1 answer
  • What is the value of the expression -9 - (-5)?
    7·2 answers
  • Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each
    7·1 answer
  • WILL GIVE BRAINLIEST!!!!! PLEASE HELP!!!!!!!!!​
    7·1 answer
  • Tell whether the triangles are similar.Explain.
    14·1 answer
  • I NEED HELP ON PART B PLEASE WILL GIVE BRAINLIEST~!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!