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
Phantasy [73]
3 years ago
6

you help a teacher move books. the math books weigh 3 pounds each. the science books weigh 4 pounds each. you can carry 24 pound

s in one load

Mathematics
1 answer:
Radda [10]3 years ago
3 0

Answer:

  • see the attachment for a graph
  • yes, you can carry 5 math books in one load (along with 0–2 science books)

Step-by-step explanation:

If x and y represent the number of math and science books you're carrying, respectively, then 3x and 4y represent their weights in pounds.

The total weight of the carry will be 3x+4y, and you want that to be at most 24 pounds. The expression modeling this is ...

... 3x +4y ≤ 24

A graph of this inequality is shown in the attachment. (We have added the constraints that the number of books not be negative.)

___

5 math books will weigh 5·3 = 15 pounds, so will be within the limit you can carry.

You might be interested in
Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large un
spayn [35]

Answer:

60.26% probability that less than twenty students are absent

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 120, p = 0.15.

So

\mu = E(X) = np = 120*0.15 = 18

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.15*0.85} = 3.91

If a random sample of 120 names is called on a Monday, what is the probability that less than twenty students are absent?

This is the pvalue of Z when X = 20-1 = 19. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{19 - 18}{3.91}

Z = 0.26

Z = 0.26 has a pvalue of 0.6026.

60.26% probability that less than twenty students are absent

3 0
3 years ago
Smart enough to answer this question? Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than
adelina 88 [10]
X = mary's shells
g = 1 1/4x + 5
n = 1 1/2x+ 1
g = n

1 1/4x + 5 = 1 1/2x + 1
5/4x + 5 = 3/2x + 1...multiply by common denominator of 4, this will get rid of fractions...however, this is optional...u can work with fractions if u wish.
5x + 20 = 6x + 4
5x - 6x = 4 - 20
-x = - 16
x = 16....so Mary has 16 shells
6 0
3 years ago
Read 2 more answers
-2+4(-5+2m)=5(4-2m)+5m
kenny6666 [7]

-2+4(-5+2m)=5(4-2m)+5m\ \ \ \ |\text{use distributive property}\\\\-2+(4)(-5)+(4)(2m)=(5)(4)+(5)(-2m)+5m\\\\-2-20+8m=20-10m+5m\\\\(-2-20)+8m=20+(-10m+5m)\\\\-22+8m=20-5m\ \ \ \ |+22\\\\8m=42-5m\ \ \ \ \ \ |+5m\\\\13m=42\ \ \ \ \ |:13\\\\\boxed{m=4}

7 0
3 years ago
Read 2 more answers
$12,800 15% is taken out what's the answer
Anuta_ua [19.1K]

Answer:

$10,880

Step-by-step explanation:

15% = 15 ÷ 100 = 0.15

So 15% of 12800 = 0.15 x 12800 = 1920

Therefore, 12800 - 1920 = 10880

OR

12800 x (1 - 0.15) = 10880

7 0
2 years ago
Did you get the answer to this question
Harlamova29_29 [7]
The anser is all of the above please make brainlyleist
4 0
3 years ago
Read 2 more answers
Other questions:
  • There are 700 people in line for a popular amusement-park ride when the ride begins operatoins in the morning
    13·1 answer
  • A cone with a mass of 6 g has a radius measuring 5 cm and a height of 2 cm . what is its density?
    7·1 answer
  • The set of ordered pairs shown represents a function f. { (4, -2), (-1, -1), (0, 0), (1, -1), (4,2) } Select the ordered pair th
    5·1 answer
  • Need Help ASAP. Thank You.
    9·1 answer
  • What number is 72% of 150?
    7·1 answer
  • the local bakery sold 4 muffins baked 5 muffins on monday and baked 12 muffins and sold 11 muffins tuesday , does the bakery hav
    15·1 answer
  • There are 70,000 bacteria present in a culture. An antibiotic is introduced to the culture and the number of bacteria is reduced
    8·1 answer
  • Given that segments AE = 4 in, DE = 12 in, and EF = 8 in.
    14·2 answers
  • A bookcase contains 2 statistics books and 5 biology books. if 2 books are chosen at random, the chance that both are statistics
    7·1 answer
  • Where is the line of symmetry of this parabola? Write its equation.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!