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
Ede4ka [16]
2 years ago
5

2. On Monday, I bought 3 dogs and 5 cats for a total cost of $8.25. On Tuesday, I bought 3 dogs and 6 cats for a total cost of $

9. Can you find the price of each item?
Mathematics
1 answer:
Ratling [72]2 years ago
7 0
I don’t know if you need to round, but you can do so on the answer for mondays if necessary

On Monday, the animals cost $1.03125.
On Tuesday, the animals cost exactly $1.
You might be interested in
Find all solutions of each equation on the interval 0 ≤ x < 2π.
Korvikt [17]

Answer:

x = 0 or x = \pi.

Step-by-step explanation:

How are tangents and secants related to sines and cosines?

\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}.

\displaystyle \sec{x} = \frac{1}{\cos{x}}.

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, \sin^{2}{x} = 1 - \cos^{2}{x}. Therefore, for the square of tangents,

\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}.

This equation will thus become:

\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2.

To simplify the calculations, replace all \cos^{2}{x} with another variable. For example, let u = \cos^{2}{x}. Keep in mind that 0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1.

\displaystyle \frac{1 - u}{u^{2}} + \frac{2}{u} - \frac{1 - u}{u} = 2.

\displaystyle \frac{(1 - u) + u - u \cdot (1- u)}{u^{2}} = 2.

Solve this equation for u:

\displaystyle \frac{u^{2} + 1}{u^{2}} = 2.

u^{2} + 1 = 2 u^{2}.

u^{2} = 1.

Given that 0 \le u \le 1, u = 1 is the only possible solution.

\cos^{2}{x} = 1,

x = k \pi, where k\in \mathbb{Z} (i.e., k is an integer.)

Given that 0 \le x < 2\pi,

0 \le k.

k = 0 or k = 1. Accordingly,

x = 0 or x = \pi.

8 0
2 years ago
Read 2 more answers
The Greatest Problems on Campus
PSYCHO15rus [73]

Answer: D.) This is an example of inductive reasoning because a general conclusion is reached based on a specific example,

Step-by-step explanation: Inductive reasoning simply refers to making conclusion about a specific subject or topic from patterns or insights derived from related examples. In the scenario above, the conclusion reached encompasses the overall full time 4 years college student. However, this conclusion was inferred based on a specific example comprising of only a randomized sample of 1200 full time 4 years college students in 100 campuses. random. The example failed to incorporate every student, Hence, the conclusion is induced as the choice of a sample of students may not convey the choice or decision of all.

Deductive reasoning meanwhile follows that a generally established fact is used to make conclusion about a specific example.

8 0
3 years ago
What is 3,200,000,000,000 in scientific notation
sashaice [31]
3 200 000 000 000= 3.2 \cdot 10^{12}
5 0
3 years ago
What I need to prove is that a+b+c = 180
Sauron [17]

Answer:

Angles in a triangle add up to 180.

7 0
3 years ago
Help me please I really need it
Dmitrij [34]

y = - 2x + 7; slope m = -2

Parallel lines, slope is the same

So y = -2x + b

b = y + 2x

Passing thru (4 , 1)

Plug in

b = 1 + 2(4)

b = 9

Equation

y = - 2x + 9

5 0
3 years ago
Other questions:
  • The distance traveled by a car moving at 30 miles per hour for t hours
    6·1 answer
  • A spheres radius is multiplied by 2. How is it’s surface area affected
    7·1 answer
  • A 3cm² sector of an angle and radians o and r respectively has total perimeter of 7m.Find the possible values of o and r.
    10·1 answer
  • This year’s school population in Waterloo is 135 percent of last year’s school population. This year’s student population is 756
    7·1 answer
  • Based on corresponding angles and vertical angles, which angles must always be congruent to the angles given? Complete the table
    14·1 answer
  • Ali and Bruno both run the 400 meter dash for their track team. Their coach frequently records their finishing times (in seconds
    8·1 answer
  • There is a 25% chance that Dane will make a three-point shot during a basketball game. A random-number generator generated 10 se
    11·1 answer
  • What is the angle that forms from the two vectors below? *<br> v= &lt;-12,5&gt;, w= &lt;3,-10&gt;
    8·1 answer
  • What are all the possible rational roots of f(0) = 2x^4+ x^3+ 4?
    7·1 answer
  • The first quartile of a data set is 18, the median is 25, the third quartile is 28,
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!