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
Sati [7]
3 years ago
9

There are two mystery numbers. The sum of 2 times the first number and 3 times the second number is -18. The sum of 3 times the

first number and 2 times the second number is -17. What are the two numbers?
Mathematics
1 answer:
FrozenT [24]3 years ago
4 0

Answer:

-3 and -4

Step-by-step explanation:

x = 1st number

y = 2nd number

set up system of equations:

2x + 3y = -18

3x + 2y = -17

elimination method:  multiply 1st equation by -2 and second by 3

 -4x - 6y = 36

+

<u>  9x + 6y = -51</u>

  5x = -15

   x = -3

find y:  2(-3) + 3y = -18

           -6 + 3y = -18

            3y = -12

             y = -4

You might be interested in
What is r in this equation? <br>πr^2=42π
kupik [55]
R in this equation refers to the radius

{\pi r}^{2}  = 42\pi \\  {r}^{2}  =  \frac{42\pi}{\pi}  \\ r =  \sqrt{42 } \\ r = 6.480740698
4 0
3 years ago
Three randomly selected households are surveyed. The numbers of people in the households are 3​, 5​, and 10. Assume that samples
nalin [4]

Answer:

there is no anwser

Step-by-step explanation:

im lazy

4 0
3 years ago
Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis. Y = 1x, y = 1,
Goryan [66]

The disk method will only involve a single integral. I've attached a sketch of the bounded region (in red) and one such disk made by revolving it around the y-axis.

Such a disk has radius x = 1/y and height/thickness ∆y, so that the volume of one such disk is

π (radius) (height) = π (1/y)² ∆y = π/y² ∆y

and the volume of a stack of n such disks is

\displaystyle V_n = \sum_{i=1}^n \pi {y_i}^2 \Delta y

where y_i is a point sampled from the interval [1, 5].

As we refine the solid by adding increasingly more, increasingly thinner disks, so that ∆y converges to 0, the sum converges to a definite integral that gives the exact volume V,

\displaystyle V = \lim_{n\to\infty} V_n = \int_1^5 \frac{\pi}{y^2} \, dy

V = -\dfrac\pi y\bigg|_{y=1}^{y=5} = \boxed{\dfrac{4\pi}5}

8 0
2 years ago
340 yards increased by 145% is how many yards? Can you please show me how you got your answer.
Studentka2010 [4]
Just turn the percentage to a decimal. 145% becomes 1.45. Then add 1.00 to 1.45. 1 + 1.45 = 2.45

Then multiply. 2.45 * 340 = 833
7 0
3 years ago
1/5 or 0.23 which is bigger
avanturin [10]
0.23 is bigger, because 1/5 is only 0.20 in decimal form
3 0
2 years ago
Read 2 more answers
Other questions:
  • A survey by the state health department found that the average person ate 208 pounds of vegetables last year and 125 5/8 pounds
    10·1 answer
  • What function is represented below?
    5·2 answers
  • I’m supposed to simplify; however, I’m absolutely clueless on how to simplify a radical. Can anyone help?
    6·2 answers
  • Quadrilateral ABCD is located at A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2). The quadrilateral is then transformed using the rule
    15·2 answers
  • A water sprinkler system can water
    7·2 answers
  • Is 3 gallons less than 30 quarts?
    6·2 answers
  • Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
    9·1 answer
  • Somebody help meeee!
    9·2 answers
  • I don’t understand this. Can someone help me?
    6·1 answer
  • Tommy was trying to solve the system of a linear equation and a quadratic equation shown below. 2x – y = –1 x2 – 5x – y = –7 Tom
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!