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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

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What is the range of values for the measurement 500±4%
Anestetic [448]
To be able to determine the unknown range of the number with tolerance given, first we need to determine the 4% of 500. This can be done by multiplying 500 by the decimal equivalent of 4% which is equal to 0.04.

   tolerance = (500) x (0.04) = 20

Lower limit: The lower limit is determined by subtracting 20 from 500.
   Lower limit = 500 - 20 = 480

Upper limit: The upper limit is determined by adding 20 to the base value 500.
   Upper limit = 500 + 20 = 520

The values, therefore, rang from 480 to 500.

<em>ANSWER: 480 - 520</em>
8 0
3 years ago
What is the point-slope form of a line with slope-3 that contains the point<br> (10,-1)?
horsena [70]

Answer:

y = - 3x + 29

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3, thus

y = - 3x + c ← is the partial equation of the line

To find c substitute (10, - 1) into the partial equation

- 1 = - 30 + c ⇒ c = - 1 + 30 = 29

y = - 3x + 29 ← equation of line

7 0
3 years ago
Could somebody help me with this please?
katrin [286]

Answer:

1) x ≅ 51.34°

2) y ≅ 38.66°

Step-by-step explanation:

In the right triangle given in the figure

∵ The triangle has a right angle

∴ Angles x and y are acute angles and the sum of their measures is 90°

→ By using the trigonometry function tan

∵ tan(x) = opposite side to x/adjacent side to x

∵ The opposite side to x = 10

∵ The adjacent side to x = 8

→ Substitute them in the rule above

∴ tan(x) = \frac{10}{8} = \frac{5}{4}

→ Use the inverse of tan to find x

∵ x = tan^{-1}(\frac{5}{4})

∴ x = 51.34019175

∴ x ≅ 51.34°

∵ x + y = 90°

∴ 51.34 + y = 90

→ Subtract 51.34 from both sides

∴ y ≅ 38.66°

8 0
2 years ago
In 2008, the population of 10- to 14- year- olds in the united states was 20,484,163. Write this number in expanded form plz hel
Over [174]
20,000,000+400,000+80,000+4,000+100+60+3
7 0
3 years ago
Help me bruv I neeeeed it
natka813 [3]

Answer:

Jamie gets £ 9.6.

Step-by-step explanation:

Ratio = 2:3

=》Jamie = 2x

=》Polly = 3x

So,

2x + 3x = 24

5x = 24

x = 24/5

x = 4.8

Money Jamie gets = 2x = 2(4.8) = £9.6

Hope it helps ⚜

5 0
2 years ago
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