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3 years ago

Solve for v. 19v – 18 = 16 + 17v

Mathematics

2 answers:

GarryVolchara [31]3 years ago

8 0

Answer:

v= 17

Step-by-step explanation:

Start with the given equation.

19v – 18 = 16 + 17v

Move -18 to the other side, and swap it's sign.

19v = 16 + 18 + 17v

Move 17v to the other side and swap it's sign.

19v - 17v = 16 + 18

Combine like terms.

2v = 34

Divide by 2v.

v = 17

melomori [17]3 years ago

4 0

Answer:

v = 17

Step-by-step explanation:

Given

19v - 18 = 16 + 17v ( subtract 17v from both sides )

2v - 18 = 16 ( add 18 to both sides )

2v = 34 ( divide both sides by 2 )

v = 17

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Craig scored 12 points in a game. Marla scored twice as many points as Craig but 5 fewer than Nelson scored. Write an expression

asambeis [7]

First write what are given from the question
We write "Craig scored 12 points in a game" as
⇒ c = 12 (first equation)
We write "Marla scored twice as many points as Craig but 5 fewer than Nelson scored" as
⇒ m = 2c (second equation)
⇒ m = n - 5 (third equation)

Second, find the expression for n based on what we write above
From the second and third equation
⇒ m = m
⇒ n - 5 = 2c
Subtitute from the first equation
⇒ n - 5 = 2c
⇒ n - 5 = 2(12)
⇒ n - 5 = 24

This is the expression to find how many nelson scored
n - 5 = 24

4 0

3 years ago

Which could be the first step and simplifying this expression? Check all that apply.

Triss [41]

$\bf \left( x^3x^{-6} \right)^2\implies \left( x^{3-6} \right)^2\implies \stackrel{1st~Step}{\left( x^{-3} \right)^2}\implies x^{-6}\implies \cfrac{1}{x^6}\\ \qquad \Downarrow\\ \stackrel{\textit{distributing the exponent}}{\left( x^{3\cdot 2}x^{-6\cdot 2} \right)}\\ \qquad \Downarrow\\ \stackrel{1st~Step}{x^6x^{-12}}\\ \qquad \Downarrow\\ x^{6-12}\\ \qquad \Downarrow\\ x^{-6}\\ \qquad \Downarrow\\ \cfrac{1}{x^6}$

7 0

3 years ago

Please actually answer this it has a good amount of points!

Vanyuwa [196]

The answer is D, "No, because two points with the same x-value have different y-values."

Essentially, there cannot be more than one point on the same x-line. Point (2, 11) and point (2, 2) are on the same x-line, which is 2.

Hope this helps!

6 0

3 years ago

Write additive and multiplicative inverse of19/-6 and-2/3

Sedbober [7]

<h2>Answer:</h2>

Additive inverse of 19/-6 is 19/6

Additive inverse of -2/3 is 2/3

Multiplicative inverse of 19/-6 is -6/19

Multiplicative inverse of -2/3 is 3/-2 (also written as -3/2)

<h2>Step-by-step explanation:</h2>

(a) The additive inverse of a number is that number that when added to it gives 0.

For example, the additive inverse of x is -x.

This is because adding -x to x gives 0. i.e

x + (-x) = 0

In other words, the additive inverse of a number is the negative of that number.

Given:

(i) 19/-6

The additive inverse of 19/-6 is the negative of 19/-6 which is -(19/-6).

-(19/-6) then gives 19/6

Therefore, the additive inverse of 19/-6 is 19/6

(ii) -2/3

The additive inverse of -2/3 is the negative of -2/3 which is -(-2/3).

-(-2/3) then gives 2/3

Therefore, the additive inverse of -2/3 is 2/3

(b) The multiplicative inverse of a number is that number that when multiplied by it gives 1.

For example, the multiplicative inverse of y is 1/y.

This is because multiplying y by 1/y gives 1. i.e

y x (1/y) = 1

In other words, the multiplicative inverse of a number is the reciprocal of that number.

Given:

(i) 19/-6

The multiplicative inverse of 19/-6 is the reciprocal of 19/-6 which is 1/(19/-6).

1 / (19/-6) then gives -6/19

This is found by just swapping the numerator(19) and the denominator(-6)

Therefore, the multiplicative inverse of 19/-6 is -6/19

(ii) -2/3

The multiplicative inverse of -2/3 is the reciprocal of -2/3 which is 1/(-2/3).

1 / ( -2/3) then gives 3/-2

This is found by just swapping the numerator(-2) and the denominator(3)

Therefore, the multiplicative inverse of -2/3 is 3/-2 (also written as -3/2).

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3 years ago

A bag contains 5 red cubes and 7 white cubes. Celinda will select one cube, put it in her pocket, and then select a second cube.

Len [333]

The number of ways of picking up a red cube out of 12 cubes are 5/12. Number of ways of picking up a second red cube is 4/11.
Thus probability of picking up 2 red cubes = 5/12 * 4/11 = 20/121.

20 / 121 = .165 or .17

So the probability of Celinda getting two red cubes is .17.

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3 years ago

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