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
son4ous [18]
3 years ago
7

Oliver works at a bookstore.He packed 20 identical paperbacks and 9 identical textbooks in a box. The total mass of the books wa

s 44.4 pounds. After he put 1 more textbook and 5 more paperbacks in the box, the total mass of the books was 51 pounds.
Write a system of equations that can used to determine p, the mass, in pounds, of one paperback, and t, the mass, in pounds of one textbook.
Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0
In the problem, the first equation should be represented like this base on the variable given in the problem:

20p + 9t = 44.4

with that equation, the second equation would is given by this formula, in response with the additional number of paperback and textbook

21p + 14t = 51

to get the system equation in getting the mass of each variable, you should subtract the two equation to simplified the formula.

   20p + 9t = 44.4
 - 21p + 14t = 51
-------------------------
p + 5t = 6.6 // this is the system equation that could be use in getting the mass of each object
You might be interested in
Geometry help greatly needed, check photo for more information! <3
vlabodo [156]

Answer:

\huge\boxed{\sf x = 55\°}

Step-by-step explanation:

When a quadrilateral is inscribed in a circle, the opposite angles of it add up to 180 degrees.

Here,

∠DCB + ∠DAB = 180 (Opposite angles of a quad inscribed in a circle.)

<u>Given that:</u> ∠DCB = 135° and ∠DAB = x

135 + x = 180

Subtract 135 to both sides

x = 180 - 135

x = 55°

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
8 0
2 years ago
Which trig ratio uses hypotenuse and adjacent side
e-lub [12.9K]

Answer:

It's cosine.

Step-by-step explanation:

Cosine is Adjacent / Hypotenuse.

7 0
3 years ago
Read 2 more answers
32% of 3.00 is _______
RideAnS [48]

Answer:

0.96

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
7n2 + 5 = 453<br> Solve the quadratic function
Reptile [31]

7n^2 + 5 = 453

Subtract 5 from both sides:

7n^2 = 448

Divide both sides by 7:

N^2 = 64

Take the square root of both sides:

N = 8

8 0
3 years ago
Read 2 more answers
we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to
Maksim231197 [3]

Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

42% of freshmen do not visit their counselors regularly.

This means that \pi = 0.42

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}

\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2

n = 1076.8

Rounding up:

A sample of 1077 is required.

3 0
3 years ago
Other questions:
  • Determine the volume of the right circular cone generated by rotating the line y = 1/3x about the y-axis between y = 0 and y = 3
    12·1 answer
  • Which of the following graphs shows a negative linear relationship with a correlation coefficient
    9·1 answer
  • A gray whales heart beats 64 times in 8 minutes what is the whales heart rate in beats per minute
    12·2 answers
  • Which of the following equations has a graph that passes through (3, 3) and has a slope of −2?
    9·2 answers
  • A cookie recipe calls for 3 1/3 cups to make 4 dozen cookies you only want toke 24 cookies though how much flour should she use
    5·1 answer
  • A recipe calls for 3 cups of water for every 4 cups of flour.
    10·1 answer
  • Can someone help me with these too please
    12·2 answers
  • Ill mark brainlist plss help
    9·1 answer
  • Which of the following is a direct proportion?<br> A. y=7x<br> B. y=x+7<br> C. y=7x−7<br> D. y=7
    12·1 answer
  • How to rewrite the expression 3(x-4)-(x+2)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!