Solve the given system using elimination.

Answer:

7/9

Step-by-step explanation:

There are 9 marbles total. there are 3 green, 4 blue, and 2 orange. The chance of picking an orange is 2/9. The chance of picking a green is 3/9, or 1/3. The chance of picking a blue is 4/9. To find the chance of not picking an orange, add 3/9 and 4/9 to get 7/9. The chance of not picking an orange is 7/9. I hope this helps!

Answer:

The answer is below

Step-by-step explanation:

a) The equation of a line passing through the point (0,0) and ​(16​,4​) is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x[/tex]

We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).

The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22[/tex]

The slope of a line passing through the point (16,4) and ​(4​,6​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1/6 and passing through the point (0,0).

The line perpendicular to a line with slope -1/6 has a slope of 6

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x[/tex]

Solving y = 6x and y  = -4x + 22, gives:

x = 2.2, y = 13.2

Hence the orthocenter is at (2.2, 13.2)

b)

The slope of a line passing through the point (3,4) and ​(11​,12​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of 1 and passing through the point (8,15).

The line perpendicular to a line with slope 1 has a slope of -1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23[/tex]

The slope of a line passing through the point (11,12) and ​(8​,15​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1 and passing through the point (3,4).

The line perpendicular to a line with slope -1 has a slope of 1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1[/tex]

Solving y = -x + 23 and y  = x + 1, gives:

x = 11, y = 12

Hence the orthocenter is at (11, 12)

Answer:

2:4 thats because together there are 6 marbles in total. 3 red and 1 blue = 4. and 2 yellow. 4:2, however, 4:2 is 4/2 in fraction, so that wont make sense. hat means the answer is 2:4 or 2/4.

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet

Answer:

14

3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The y-intercept is when the line intersects the y-axis. In this image, you can see that the line intersects at 2 on the y-axis.

Hope this helps! :)

Answer:

71

you just had to add them

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the formula for calculating Amount;

Amount = Principal + Interest

Interest = Principal * Rate * time/100

For Annabelle:

Interest = 600*2*6/100

Interest = 6*2*6

Interest = $72

Amount after 6 years = $600 + $72 = $672

For Caroline:

Interest = 400*3*6/100

Interest = 4*3*6

Interest = $72

Amount after 6years = $400+$72 = $472

Hence Annabelle account will have more in it after 6 years.

Taking the difference in their amount = $672-$472 = $200

Hence Annabelle will have $200 more than Caroline in her account after 6 years

Answer:

-8/5 or 1.6

Step-by-step explanation:

if you get the 2 points on the graph and use slope formula you get the answer

Answer:

The new ordered pair for point Q' are: Q' (5, 7)

Step-by-step explanation:

Q = (-5, 7)

The rule of translation is:

(x, y) → (-x,y)

According to this rule, the value of x is multiplied by -1, and the value of y remains the same.

Thus,

P(x, y) → P'(-x,y)

Q (-5, 7) → Q' (-(-5), 7) → Q' (5, 7)

Thus, the new ordered pair for point Q' are: Q' (5, 7)

Answer:

38

Step-by-step explanation:

Answer:

7.2 hours slept

Step-by-step explanation:

30%>.30

.30*24=7.2 hours

Hope this will help!

Answer:

(-2, -8)

x = -2

y = -8

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

13x - 6y = 22

x = y + 6

Step 2: Solve for y

Substitution

Step 3: Solve for x

Hey there!

x = 5

“y = -67.9(5) + 679”

-67.9(5) = -339.5

NEW EQUATION: “y = -339.5 + 679”

Solve above ^

Answer: y = 339.5 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

339.5 m

Step-by-step explanation:

Answer:

2x+216

Step-by-step explanation:

The answer was easy to get because to factor you would just multiply the two numbers together to get 54x4 = 216 and then add the 2x, so your answer is 216+2x

Answer:

The total number of adults will be: 120 adults

Step-by-step explanation:

Given that there were 24 adults and 10 children in a game.

Thus, adults to children ration = 24:10 or 24/10

Let 'x' be the number of adults when there 50 children.

so the ration of adults 'x' to 50 childern = x: 50 or x / 50

As the ratio is the same.

Thus,

24 : 10 = x : 50

24/10 = x/50

switching sides

x/50  = 24/10

x  = 24/10 × 50

x = 120 adults

Therefore, the total number of adults will be: 120 adults

Answer:

225° = 5π/4 radians.

Step-by-step explanation:

hope this helps :D

The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Given,

225 degrees.

We need to find the radian measure of 225 degrees.

We have,

π radian = 180 degree

So,

2π = 360 degrees.

This is the formula for the radian of an angle.

Find the radian measure for 225 degrees.

We have,

π radian = 180 degrees

Multiply 225/180 on both sides by 180.

225/180 x π radian = 225/180 x 180 degrees

1.25 π radian = 225 degrees

or

We can take π = 22/7 = 3.14

225/180 x 3.14 radian = 225 degrees.

3.925 radian = 225 degrees

Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Learn more about the measure of an angle from a radian here:

https://brainly.com/question/8916147

#SPJ2

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I checked it an fits right hope this helps!!

Answer:

Aldo's shirt was made of 13/15 meters of fabric.

Step-by-step explanation:

We need to add these fractions. However, in order to do so, we need to find the LCM, which in this case, is 15.

1/5 + 2/3 =

3/15 + 10/15 =

13/15

This fraction is also written in simplest form. Therefore, Aldo's shirt was made of 13/15 meters of fabric.

Hope this helps! :D

Answer:

Yes, it represents a function

Step-by-step explanation:

Doing the vertical line test, no point goes through the vertical line twice

Step-by-step explanation:

55 minutes after 1735 is 1830.

Answer:

That is igneous

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

2 T-shirts = $15

Longer version

15/2 = $7.50

1 T- shirt = $7.50

7.50*8 =  $60

Short version

2 T-shirts = $15

bought 8 so 8/2 = 4

4*15= 60

Answer:

huh? I have no clue sorry

Answer:23

Step-by-step explanation:

Answer: 282. 7 feets

Step-by-step explanation:

Height = 120 ft

θ = 23°

To obtain the distance (d) of plane from airport tower :

Tan θ = h / d

Tan 23 = 120 / d

0.4244748 * d = 120

d = 120 / 0.4244748

d = 282.70229

d = 282.7 feets

Answer:

215.

Step-by-step explanation:

I dotn think there is any remainder so put 0

Answer:

215 NO REMAINDER

Step-by-step explanation:

Answer:

Ten Dollars Plus fifty cents equals Ten Dollars and fifty cents

Step-by-step explanation:

10 + .50 = 10.50