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
Crazy boy [7]
3 years ago
10

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 blanket per d

ay. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways.
Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal.
Mathematics
1 answer:
Sauron [17]3 years ago
3 0

Answer:

Since Darcie wants to crochet a minimum of 3 blankets and she crochets at a rate of 1/5 blanket per day, we can determine how many days she will need to crochet a minimum of 3 blankets following the next steps:

- Finding the number of days needed to crochet one (1) blanket:

\begin{gathered}1=\frac{1}{5}Crochet(Day)\\Crochet(Day)=5*1=5\end{gathered}

1=

5

1

Crochet(Day)

Crochet(Day)=5∗1=5

So, she can crochet 1 blanket every 5 days.

- Finding the number of days needed to crochet three (3) blankets:

If she needs 5 days to crochet 1 blanket, to crochet 3 blankets she will need 15 days because:

\begin{gathered}DaysNeeded=\frac{NumberOfBlankets}{Rate}\\\\DaysNeeded=\frac{3}{\frac{1}{5}}=3*5=15\end{gathered}

DaysNeeded=

Rate

NumberOfBlankets

DaysNeeded=

5

1

3

=3∗5=15

- Writing the inequality

If she has 60 days to crochet a minimum of 3 blankets but she can complete it in 15 days, she can skip crocheting 45 days because:

AvailableDays=60-RequiredDaysAvailableDays=60−RequiredDays

AvailableDays=60-15=45DaysAvailableDays=60−15=45Days

So, the inequality will be:

s\leq 45s≤45

The inequality means that she can skip crocheting a maximum of 45 days since she needs 15 days to crochet a minimum of 3 blankets.

Have a nice day!

You might be interested in
What equal 27 on gif
natali 33 [55]
Then that would be 3 and 9.
8 0
3 years ago
The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.
Mama L [17]

Answer:

a) P(Y > 76) = 0.0122

b) i) P(both of them will be more than 76 inches tall) = 0.00015

   ii) P(Y > 76) = 0.0007

Step-by-step explanation:

Given - The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.

To find - (a) If a man is chosen at random from the population, find

                    the probability that he will be more than 76 inches tall.

              (b) If two men are chosen at random from the population, find

                    the probability that

                    (i) both of them will be more than 76 inches tall;

                    (ii) their mean height will be more than 76 inches.

Proof -

a)

P(Y > 76) = P(Y - mean > 76 - mean)

                 = P( \frac{( Y- mean)}{S.D}) > \frac{( 76- mean)}{S.D})

                 = P(Z >  \frac{( 76- mean)}{S.D})

                 = P(Z > \frac{76 - 69.7}{2.8})

                 = P(Z > 2.25)

                 = 1 - P(Z  ≤ 2.25)

                 = 0.0122

⇒P(Y > 76) = 0.0122

b)

(i)

P(both of them will be more than 76 inches tall) = (0.0122)²

                                                                           = 0.00015

⇒P(both of them will be more than 76 inches tall) = 0.00015

(ii)

Given that,

Mean = 69.7,

\frac{S.D}{\sqrt{N} } = 1.979899,

Now,

P(Y > 76) = P(Y - mean > 76 - mean)

                 = P( \frac{( Y- mean)}{\frac{S.D}{\sqrt{N} } })) > \frac{( 76- mean)}{\frac{S.D}{\sqrt{N} } })

                 = P(Z > \frac{( 76- mean)}{\frac{S.D}{\sqrt{N} } })

                 = P(Z > \frac{( 76- 69.7)}{1.979899 }))

                 = P(Z > 3.182)

                 = 1 - P(Z ≤ 3.182)

                 = 0.0007

⇒P(Y > 76) = 0.0007

6 0
3 years ago
CAN SOMEONE HELP ME WITH THIS QUESTION?????????????
Angelina_Jolie [31]

Answer:

IM DOING ALGEBRA TOOO I HATE IT I believe that the first answe is function 4

7 0
3 years ago
Read 2 more answers
A farmer paid $500 per month for deliveries over 10 months. For the other 2 months of the year, he paid $600 per month. Which nu
PolarNik [594]
The answer is option .. A : 500(10) + 600(2)
I Just took the assignment and that is the Correct Answer :)
7 0
3 years ago
There are 48 students in a speech contest. Yesterday, 2/3 of them gave their speeches. Today, 3/4 of the remaining students gave
Dmitry [639]

Answer:

24 :))))))))))))))

Step-by-step explanation:

2/3 of 48 is 32, so 3/4 of 32 is 24.

8 0
3 years ago
Other questions:
  • Can you please help me with 22.? (BE SERIOUS) (ITS DUE TOMORROW)
    7·1 answer
  • What is the value of y in the equation 1/8• y=4
    7·2 answers
  • Write the following numbers in decimal form. (Note: Some of these numbers have been rounded.)
    13·1 answer
  • Keith bought a pair of jeans at a discounted price of $91.00. The original price of the pair of jeans was $130.00. If Keith got
    5·2 answers
  • The length of a pencil is measured with two rulers. Report the length of the pencil from each ruler with the proper number of di
    5·1 answer
  • 1. which two types of clouds indicate fair weather?
    10·2 answers
  • Why is the point of intersection for a system of equations<br> considered its solution?
    10·2 answers
  • I don't think the answer is C, I just clicked it because the quiz would kick me out if I didn't.
    9·2 answers
  • What effect does the following line have on the poem?
    15·1 answer
  • LOTS OF POINTS, WILL GIVE BRAINLIEST!!!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!