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
Slav-nsk [51]
3 years ago
7

Ashley uses 1/4 package of raisin for a fruit cake. She then uses 1/9 of the remainder for muffins. What fraction of the package

of raisins dose she have left?
Mathematics
2 answers:
Flura [38]3 years ago
7 0
\text {Fruit cake = } \dfrac{1}{4}

\text {Raisin left = } 1 -  \dfrac{1}{4} = \dfrac{4}{4} - \dfrac{1}{4} = \dfrac{3}{4}

\text {Muffins  = } \dfrac{1}{9}  \times  \dfrac{3}{4} =  \dfrac{3}{36} =  \dfrac{1}{12}

\text {Raisin left = } \dfrac{3}{4}  - \dfrac{1}{12} =\dfrac{9}{12}  - \dfrac{1}{12} = \dfrac{8}{12}  -= \dfrac{2}{3}

Answer: She has 2/3 of the package left.

Alex787 [66]3 years ago
4 0
Find a common denominator between 1/4 and 1/9. The common denominator is 36. Multiply 1/4, 1 and 4, by 9. You get 9/36. Multiply 1/9, 1 and 9, by 4. You get 4/36. Add the two answers together. 
9/36 + 4/36 = 13/36
Now subtract 36 by 13 to get 23. You get 23/36. This is the most simplified form.
Ashley has 23/36 package of raisin left.
You might be interested in
The sum of two integers is 81.if the product is 1088.what are the integers
arlik [135]

Answer:

(a;b)={(17; 64); (64; 17)}

Step-by-step explanation:

a+b=81 => b=81-a

a*b=1088

a*(81-a)=1088

-a²+81a=1088

a²-81a+1088=0

a²-64a-17a+1088=0

a(a-64)-17(a-64)=0

(a-17)(a-64)=0

=> a=17 and a=64

for a=17 => b=81-17=64

for a=64 => b=81-64=17

(a;b)={(17; 64); (64; 17)}

3 0
3 years ago
Abby 2 hours to drive from home to her office and three hours if she drives 15 miles per hour slower. What is the distance betwe
uysha [10]

Answer:

30

Step-by-step explanation:

7 0
2 years ago
Graph y=6x−7<br> Identify the x-intercept.
valina [46]

9514 1404 393

Answer:

  x-intercept: 7/6

Step-by-step explanation:

The x-intercept is found by solving for x when y=0.

  0 = 6x -7

  7 = 6x . . . . . add 7 to both sides of the equation

  7/6 = x . . . . divide both sides by 6

The x-intercept is 7/6 = 1 1/6 ≈ 1.167.

__

The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.

6 0
3 years ago
What is the constant of proportionality in the equation y=2xy
dybincka [34]

Answer:

2 is the constant of proportionality in the equation y = 2x .

Step-by-step explanation:

Definition of constant of proportionality

When two variables are directly proportional to each others .

Let us assume that u and v .

u \propto vu∝v

Than the equation becomes u= kv

Where k is called the constant of proportionality .

Thus in the question x and y are proportional variables .

i.e

y \propto xy∝x

y = kx

Where k is called the constant of proportionality .

Compare the equation y = kx with y=2x .

Thus

k = 2

Therefore 2 is the constant of proportionality in the equation y = 2x

the explanation is not mine only the answer

6 0
3 years ago
Wal-Mart conducted a study to check the accuracy of checkout scanners at its stores. At each of the 60 randomly selected Wal-Mar
Mamont248 [21]

Answer:

a

The 95% confidence interval is

   0.7811 <  p <  0.9529

Generally the interval above can interpreted as

    There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval  

b

  Generally  99% is outside the interval obtained in a  above then the claim of Wal-mart is not believable  

c

 n =  125  \  stores  

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  60  

    The number of stores that had more than 2 items price incorrectly is  k =  52  

   

Generally the sample proportion is mathematically represented as  

             \^ p  =  \frac{ k }{ n }

=>          \^ p  =  \frac{ 52 }{ 60 }

=>          \^ p  =  0.867

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>   E =  1.96  * \sqrt{\frac{ 0.867  (1- 0.867)}{60} }

=>   E =  0.0859

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.867  - 0.0859  <  p <  0.867  +  0.0859

=>    0.7811 <  p <  0.9529

Generally the interval above can interpreted as

    There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval  

Considering question b

Generally  99% is outside the interval obtained in a  above then the claim of Wal-mart is not believable  

   

Considering question c

From the question we are told that

    The margin of error is  E = 0.05

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=> n=  [\frac{1.645 }}{0.05} ]^2 * 0.867  (1 - 0.867 )

=>   n =  125  \  stores  

4 0
3 years ago
Other questions:
  • Write 6/7 as a whole number
    13·2 answers
  • Tickets for rides at the fair cost $0.75 each you can also buy a roll of 25 tickets for $15 what is the cost of each ticket if y
    8·1 answer
  • Please help me , idk the answer
    13·1 answer
  • Gomez found the masses of three rocks for a science project. The first rock had a mass of 19.28 grams the second rock had a mass
    11·2 answers
  • Currency on hand =5,000 Mexican pesos currency desired = United States dollars. How many United States dollars based on Wednesda
    10·1 answer
  • 2. Find the Unit price per can if it cots $3 for 6 cans of sodas. Round To the nearest hundredths. $0.5 per can $0.6 per can
    7·1 answer
  • How do I do this ??
    6·2 answers
  • Solve 2x + 5 = 12 <br> please help !
    12·2 answers
  • Find the value of 8^1/3
    9·2 answers
  • Make q the subject of the formula
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!