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
Ulleksa [173]
3 years ago
7

Four times a number minus twice another number is -16. The sum of the two numbers is -1. Find the numbers

Mathematics
1 answer:
Ivenika [448]3 years ago
7 0

Answer:

2 and -3

Step-by-step explanation:

Let the numbers be x and y ∴ 4x -2y =-16......................Eqn 1

and x+y=-1.................................Eqn 2

this ⇒x=-1-y. Substitute the value of x to be=-1 -y and putting in Eqn 1 yields the following 4(-1-y)-2y =-16 0r -4-4y-2y=-16

⇒-4-6y=-16 0r =-6y=-12 ∴y is 2

⇒ and x is -3

You might be interested in
A balloon is rising at a constant speed of 5 ftys. A boy is cycling along a straight road at a speed of 15 ftys. When he passes
Ket [755]

Answer:

  13 ft/s

Step-by-step explanation:

t seconds after the boy passes under the balloon the distance between them is ...

  d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)

The rate of change of d with respect to t is ...

  dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)

At t=3, this derivative evaluates to ...

  dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13

The distance between the boy and the balloon is increasing at the rate of 13 ft per second.

_____

The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.

The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.

The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...

  d = √((15t)² + (45+5t)²)

7 0
2 years ago
What property is occurring in the following example? 11.5 + (- 11.5) = 0
kramer

Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

Step-by-step explanation:

A property where sum of any number and its inverse is equal to zero is called additive inverse property.

For example, 11.5 + (-11.5) = 0

Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.

Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

5 0
2 years ago
Match the following items.<br> Plane<br> Point<br> Line<br> Ray<br> Line segment
Sophie [7]

Answer:

The first one is a line because a line extends infinitely in both directions which the arrows indicate.

The second one is a plane since it is a 2-dimensional shape.

The last one depicts 2 rays because rays have one endpoint, but extend infinitely in the other direction.

8 0
3 years ago
Jack charges $40 initial fee plus $30 an hour to work on vehicles. Mark charges $25 an hour with a $50 initial fee. to work on v
Nostrana [21]

Answer:

Step-by-step explanation:

Let the equal number of hours be represented by variable H;

The two equations will be as follows;

Jack; 40 +30H

Mark; 50 +25H

Next, equate them;

40 + 30H = 50 + 25H

30H - 25H = 50 - 40

5H = 10

H =10/5

H = 2hrs

Therefore, they charge the same amount at 2 hrs.

B.) The amount charged;

Replace the variable H in any of the two equations above with 2 to solve for the amount.

Equation 40+30H = 40 + (30*2)

=40 + 60

= $100

4 0
3 years ago
Malik’s solution to the equation 2/5x-4y=60 is shown below
frozen [14]

Answer:a

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Calculate the above formula, expressing the answer in scientific notation with the correct number of significant figures
    8·1 answer
  • the gasoline gauge on a van initially read 1/8 full. When 15 gallons were added to the tank, the gauge read 3/4 full. how many m
    11·1 answer
  • Alfred draws candles randomly from a pack containing 4 colored candles of the same shape and size. There are 2 red candles, 1 gr
    14·1 answer
  • Which number is a multiple of 9?<br> A:109<br> B:3<br> C:27<br> D:89
    9·2 answers
  • Graph f(x)=−1.5x+6.<br><br> Use the line tool and select two points to graph the line.
    7·1 answer
  • Factorise fully the following:<br> a) 3x^3-9x<br> b) 4x^2+28^3
    13·1 answer
  • miss Gonzalez buys folders for her office. She buys 4 small folders for every 1 large folder she buys 15 folders in all. Small f
    5·1 answer
  • Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options
    13·1 answer
  • -12 x (1/3)? what is this equal to!
    5·2 answers
  • A consultant has been hired to redesign a company's production facility. The consultant estimates the probabilities of her poten
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!