This questions is breaking my head... If a gumball is randomly chosen from a bag that containsexactly 6 yellow gumballs, 5 green gumballs, and 4red gumballs, what is the probability that the gumballchosen is NOT green? Can you also write ratio for me to this question?

Answers

Answer 1

Answer: Total gumballs= 6 yellow+ 5 green + 4 red
= 15 gumballs
Green gumballs=5
Other gumballs= 15-5= 10
Probability= Other non-green gumballs/Total gumballs
=10/15 = 2/3
Probability of not getting green gumball is 2/3 or 66.66666.... %
The ration is 2:3.

Answer 2

Answer: the answer toy your question is
3/4

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Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 71 B 72 C 73

Answers

Answer:

A and B

Step-by-step explanation:

Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21

When simplifying an algebraic expression, the following steps are needed to be taken.

Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.

Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.

A) 126/2

Applying the division rule give:

126/2 = 63

B) 23 × 3

Applying multiplication rule gives:

23 × 3 = 69

C) 3 × 21

Applying multiplication rule gives:

3 × 21 = 63

Both the results of expression A and expression B are simplified to the same result

Marquis begins a career making $53,000 per year. Each year, he is to receive a $1,600 raise. After 25 years, how much total money will Marquis have earned from this career?

Answers

Answer:

Step-by-step explanation:

Ed2021

Answer:

b$1,805,000

Step-by-step explanation:

the area under the graph line made with the x-axis represents the change in position of the object on a velocity versus time graph. true false

Answers

Answer:

True, because the integral of velocity is displacement.

Step-by-step explanation:

Solve for x and y simultaneously x-2y=3. 3x²-5xy-16y=24

Answers

Value of x = 0 or 1 and value of y = $(-3)/(2)$ or -1 for the given quadratic equation.

What is quadratic equation?

" Quadratic equation is defined as the polynomial whose highest degree of the given variable is equals to 2."

According to the question,

Given equations,

$x-2y=3$

⇒ $x=3 + 2y$ ____(1)

Quadratic equation,

$3x^(2) -5xy-16y=24$ ____(2)

Substitute the value of 'x' from (1) in (2) quadratic equation we get,

$3(3+2y)^(2) -5(3+2y)y-16y=24$

⇒ $3(9+12y+4y^(2) )-5y(3+2y) -16y-24=0$

⇒ $27+36y+12y^(2) -15y-10y^(2) -16y-24=0$

⇒ $2y^(2) +5y+3=0$

⇒ $2y^(2) +2y+3y+3=0$

⇒ $2y(y+1)+3(y+1)=0$

⇒ $(2y+3)(y+1)=0$

⇒ $(2y+3)=0 or (y+1)=0$

⇒ $y=(-3)/(2) or y = -1$

Substitute in (1) to get the value of 'x' ,

$x= 3+ 2((-3)/(2)) or x = 3 + 2 (-1)$

⇒ $x = 0 or x = 1$

Hence, value of x = 0 or 1 and value of y = $(-3)/(2)$ or -1 for the given quadratic equation.

Learn more about quadratic equation here

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x-2y=3 ⇒y=(x-3)/2
3x²-5xy-16y=24

We can suggest this system of equations by substitution method.
y=(x-3)/2

3x²-5x(x-3)/2-16(x-3)/2=24
least common multiple=2
6x²-5x(x-3)-16(x-3)=48
6x²-5x²+15x-16x+48=48
x²-x=0
x(x-1)=0
Now, we solve two equations:
1)x=0 ⇒y=(0-3)/2=-3/2
2)x-1=0
x=1 ⇒y=(1-3)/2=-1

Answer: we can two solutions:
solution1: x=0; y=-3/2
solution2: x=1, y=-1

John bought an odd shaped lot that was 100 feet deep, but the front footage was 160 feet and the length of the back side of the lot was 80 feet what is the square footage of his lot?

Answers

Answer:

12000 $ft^(2)$

Step-by-step explanation:

The lot has the shape of a trapezoid. This means that the area can be find using the formula:

$Area= ((B_(1)+B_(2))/(2))h$

Where $B_(1)$ and $B_(2)$ are the two paralle sides (in this case the front side of 160 feet and, the back side of 80) and, h is the height (the deep of 100 feet). So :