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
vfiekz [6]
2 years ago
12

Students at a school will sell hats to raise money. There are some hats left over from last year, and 20 boxes of hats will be o

rdered this year. When the order arrives, the total number of hats the student will have can be determined using the function f(x) = 48x + 37, where x represents the number of boxes ordered. If the number of hats per box changes so that the situation is modeled by the function h(x) = 24x + 37, then how many fewer hats will the students have available to sell if they still order 20 boxes?
A)517

B)480

C)997

D)365
Mathematics
1 answer:
inna [77]2 years ago
4 0

Answer:  A) 480

Step-by-step explanation:

x=20 substitute in the two equations

48(20)+37

24(20)+37

since the question said fewer , then you should subtract

48(20)+37 - 24(20)+37 = (960+37) - (480+37)

=923 - 443= 480

You might be interested in
What is the simple interest earned on $7550 at a 3.9% interest rate for 6 years? Round your answer to the nearest cent.
Maslowich
I'm going to assume the rate, 3.9%, is for one year.

7550 * 3.9 * 6 = $176, 670 is the simple interest earned in 6 years with a rate of 3.9% per year.


Since you have the formula, why don't you do it yourself?
4 0
3 years ago
In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight o
andrezito [222]

Answer with Step-by-step explanation:

We are given that

Total dogs=24

Total cats=18

Total animals=24+18=42

Male dogs=8

Male cats=6

Total male animals=8+6=14

Total female animals=42-14=28

Female cats=18-6=12

Dogs female=24-8=16

a.We have to find the probability that the pet is male, given that it is cat.

It means we have to find P(Male/cat)  

Conditional probability: P(A/B)=\frac{P(A\cap B)}{P(B)}

P(Cat)=\frac{18}{42}

P(male cat)=\frac{6}{42}

P(Male/cat)=\frac{\frac{6}{42}}{\frac{18}{42}}

P(male/cat)=\frac{6}{18}=0.33

b.P(female cat)=\frac{12}{42}

P(female)=\frac{28}{42}

P(Cat/Female)=\frac{\frac{12}{42}}{\frac{28}{42}}=\frac{12}{28}=0.43

c.P(Dog)=\frac{24}{42}

P(dog female)=\frac{16}{42}

P(female/dog)=\frac{\frac{16}{42}}{\frac{24}{42}}

P(female/dog)=\frac{16}{24}=0.67

5 0
3 years ago
Three students want to estimate the mean word length of the same book. To do this, each student randomly chose 4 words from the
Firlakuza [10]

The solutions to the questions are given below

a)

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25


b)R =0.75

c)

  • The mean of the sample means will tend to be a better estimate than a single sample mean.
  • The closer the range of the sample means is to 0, the more confident they can be in their estimate.

<h3>What is the students are going to use the sample means to estimate the mean word length in the book.?</h3>

The table below shows sample means in the table.

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25

b)

Generally, the equation for is  mathematically given as

variation in the sample means

R =maximum -minimum

R=4.25-3.5

R =0.75

c)

In conclusion, In most cases, the mean of many samples will provide a more accurate estimate than the mean of a single sample.

They may have a higher level of confidence in their estimate if the range of the sample means is closer to 0 than it is now.

Read more about probability

brainly.com/question/795909

#SPJ1

7 0
2 years ago
Evaluate:<br> g(x) = 3•2x+2 + 3<br> g(3)
Studentka2010 [4]

Answer:23

Step-by-step explanation:

3·2(3)+2+3

=3·6+2+3

=23

6 0
3 years ago
The perimeter of the trapezoid-shaped window frame is 23.59 feet. Write and solve an equation to find the unknown side length x
krok68 [10]

Answer:

5.62 + 3.65 + 5.62 + x = 23.59

x = 8.7 ft

Step-by-step explanation:

Perimeter of the trapezoid-shaped window = sum of all the sides of the window frame

Thus, the equation to find the unknown side length, x, would be:

✔️5.62 + 3.65 + 5.62 + x = 23.59

Solve for x

14.89 + x = 23.59

Subtract 14.89 from each side

14.89 + x - 14.89 = 23.59 - 14.89

✔️x = 8.7 ft

4 0
2 years ago
Other questions:
  • During the month of may sells of tires in a diesel repair shop total $24,890 a 4.9% increase is expected for June what is the fo
    12·1 answer
  • Manuel needs to save more than $75 for a class trip. He already has $24 and
    5·1 answer
  • What is the third term in the expansion of the binomial (2x 5)5?
    10·1 answer
  • Need help with formula. Population of people is 5.3 per square mile and is 39 thousand square mile in size. What is the populati
    10·1 answer
  • 53 is 50% of what number
    12·1 answer
  • I REALLY NEED HELP!!!<br> 5^-3=
    6·2 answers
  • You have 59 to spend on lip balm and hand sanitizer. The equation 1.5x + 2.5y = 9 represents this situation, where x is tubes of
    8·1 answer
  • Solve the inequality for x= 1 + 2x &gt; -23
    10·1 answer
  • Anyone got the answer?
    15·1 answer
  • There is a circular pool in the backyard with an approximate area of 113 square inches. What was the diameter?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!