Answers:
12 red and 9 green counters originally
=======================================================
Explanation:
r = number of red counters originally in the bag
g = number of green counters originally in the bag
We have g number of green counters out of g+r counters total. The probability of picking green is g/(g+r). We set it equal to 3/7 as this is the stated probability of picking green.
Let's solve for g
g/(g+r) = 3/7
7g = (g+r)*3 ... cross multiply
7g = 3g+3r
7g-3g = 3r
4g = 3r
g = 3r/4
g = (3/4)r
g = 0.75r
We'll use this equation later.
------------------------------------------
Whatever counter is selected is placed back into the bag, or it is replaced.
Now we add 2 more red and 3 more green counters.
The green goes from g to g+3, while the total goes from g+r to g+r+2+3 = g+r+5
The probability of picking green after these counters are added in is now (g+3)/(g+r+5) which is the same as 6/13.
We get the equation
(g+3)/(g+r+5) = 6/13
We'll plug in the previous equation we found (when we isolated g), and solve for r like so
(g+3)/(g+r+5) = 6/13
(0.75r+3)/(0.75r+r+5) = 6/13
(0.75r+3)/(1.75r+5) = 6/13
13(0.75r+3) = 6(1.75r+5) ... cross multiply
9.75r+39 = 10.5r+30
9.75r-10.5r = 30-39
-0.75r = -9
r = -9/(-0.75)
r = 12
There were originally 12 red counters in the bag
g = 0.75*r
g = 0.75*12
g = 9
And there were originally 9 green counters in the bag.
This would mean there were 9+12 = 21 counters total. The probability of picking green is 9/21 = (3*3)/(3*7) = 3/7 which matches with what the instructions are saying.
If we added 2 red and 3 green, then we have 9+3 = 12 green and 21+2+3 = 26 total. The probability of picking green now is 12/26 = (2*6)/(2*13) = 6/13. This also matches with what the instructions mention. Therefore, the answers have been confirmed.
[tex]54 \sqrt{25} [/tex]
Answer:
270
Step-by-step explanation:
[tex]\sqrt{25} = 5[/tex]
54 * 5
270
A cooler has 3 Dr Peppers, 2 Diet Cokes, 5 Cokes, and 2 Sprites in it.
What is the probability of Sam choosing a Dr Pepper and then going back and choosing a Sprite 10 minutes later after he finished his first drink? (Assuming no one else has taken a soda out of the cooler in that time)
a
19/44
b
5/12
c
1/22
d
1/24
how many solutions does 5x - 4x = 2x + 6 have
i think one which is where x=-6
solve , √(5*5) + √(6*6) please ASAP
Step-by-step explanation:
hope it is helpful to you
Answer:
[tex]11[/tex]
Step-by-step explanation:
[tex]\sqrt{5*5} +\sqrt{6*6}[/tex]
[tex]\sqrt{5^{2} } +\sqrt{6^{2} }[/tex]
[tex]5+\sqrt{6^{2} }[/tex]
simplify the roots
[tex]5+6[/tex]
calculate
11 is your answer!!
[tex]---------[/tex]
hope it helps...
have a great day!!
helppp
Answer options
A: (2,0)
B:(8,0)
C:(-3,5)
D:(5,-3)
Find the volume of a right circular cone that has a height of 11.9 ft and a base with a radius of 16.3 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
V≈3310.94ft³
Step-by-step explanation:
explanation is in screenshot.
92 points pls 3(5−6)−2(4+5)
Answer:
= −21
Step-by-step explanation:
3(5−6)−2(4+5)
=(3)(−1)−2(4+5)
=−3−2(4+5)
=−3−(2)(9)
=−3−18
=−21
brainliest please? :)
Seven cards numbered 1 through 7 are placed facedown randomly on a table. Andy picks a card and does not return it to the table. Th
picks another card.
What is the probability that the first card Andy picks is a 6 and the second card is a 7?
A.
B. Ž
O
O c. 23
D.
13
42
O
Answer: 2/7
i’m pretty sure it’s 2/7
Answer:
2
7
Step-by-Step Explanation:
TV and WY are parallel lines, which angles are supplementary angles?
Answer:
yab
Step-by-step explanation:
The record high temperature is 124 F the record low temperature for the same state is -8. What is the range integer? (Write and solve equation). Help please :(
Answer:
here it's 124°F so if we subtract 8 in 124 it will be 124-8= 114°F
now the range = height - lowest = 124°- 114°F = 8° F
Find the x intercepts of the graph of -6x + 5y =24. State your answers as while numbers or as improper fractions in simplest form.
Answer:
x-intercept: -4
y-intercept: 24/5
Step-by-step explanation:
Firstly you have to isolate the y:
-6x + 5y = 24
5y = 6x + 24
y = (6x +24)/5
Now, just think about the graph: when the function touch the x-axis, the value of y is equal to 0, and when the function touch the y-axis, the value of x is 0, so just put they in the function:
y = (6•0 + 24)/5
y = 24/5
0 = (6x + 24)/5
5•0 = 6x +24
0 = 6x +24
-6x = 24
x = 24/-6
x = -4
Which decimal is equivalent to -3 1/8?
Answer:
-3.125
Step-by-step explanation:
Answer:
[tex] - 3 \frac{1}{8} \equiv - \frac{25}{8} [/tex]
= -3.125
The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 12 feet, represented by a vertex of (8,12) , and lands 16 feet from the water jet, represented by (16,0) . Write a function in vertex form that models the path of the stream
Answer:
y=-3/16(x-8)^2+12
Step-by-step explanation:
Refer to the vertex form equation for a parabola:
y=a(x-h)^2+k where (h,k) is the vertex.
Therefore, we have y=a(x-8)^2+12 as our equation so far. If we plug in (16,0) we can find a:
0=a(16-8)^2+12
0=64a+12
-12=64a
-12/64=a
-3/16=a
Therefore, your final equation is y=-3/16(x-8)^2+12
Answer:
y = (-5.33)(x - 8)^2 + 12
Step-by-step explanation:
The graph is a parabola which opens down and has its vertex at (8, 12). We can immediately write y = a(x - 8)^2 + 12, knowing that if x = 8, y = 12. To find the coefficient '1', substitute 16 for x and 0 for y:
0 = a(16 - 8)^2 + 12, or
-64a = 12, or a = -64/12 = 5.33
Then the desired function is:
y = (-5.33)(x - 8)^2 + 12
I need help fast I’m trying to get all my work in for school today
Answer:
[tex]b+3+60[/tex] → [tex]No[/tex]
[tex]-30-24z[/tex] → [tex]No[/tex]
[tex]27n+66p[/tex] → [tex]Yes[/tex]
[tex]36-9j+3k[/tex] → [tex]Yes[/tex]
[tex]---------[/tex]
hope it helps...
have a great day!!
A pizza has a circumference of 47.1 inches. What is the diameter of the
pizza?
Answer:
sorry I need points I hope u understand
What is the volume, in cubic in, of a rectangular prism with a height of 12in, a width of 10in, and a length of 12in?
Answer:
840
Step-by-step explanation:
The Volume of rectangular prism is 1440 square inches.
What is Volume?Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units like m3, cm3, in3, etc.
Volume is sometimes referred to as capacity.
We have,
Height = 12 inch
Length = 12 inch
width = 10 inch
So, the Volume of rectangular prism
= l w h
= 12 x 12 x10
= 1440 inch²
Thus, the volume of rectangular prism is 1440 inch².
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ2
In what quadrant would the ordered pair (-6, -9) be located?
III
I
IV
II
Answer:
III
Step-by-step explanation:
the 3rd quadrant since the y-axis part is negative there and so is the x-axis.
HALP PLS NO LINKS OR FILES PLS
SCREENSHOT BELOW!!!
Answer:
12 and 13
Step-by-step explanation:
Rewrite the equation of the line in slope intercept form.
y−5=2(x+3)
Answer:
y=2x+11
Step-by-step explanation:
y-5=2(x+3)
y-5=2x+6
+5 +5
y=2x+11
Answer:
y = 2x + 11
Step-by-step explanation:
Slope-intercept form is y = mx + b.
Here we have y−5=2(x+3), in point-slope form.
Solve this for y: y = +5 + 2x+6, or
y = 2x + 11
What is the measure of G? 6 28° E 0 A. 28° B. 400 C. 349 D. Cannot be determined
28!!
The two given sides are identical, both are 6. This means the two bottom angles are also the same. Since angle E is given as 28, angle G would also be 28
The answer is A. 28
Finding Percents Using Decimals 1.8 of 240
Answer:
I think 4.32...............
You are road tripping down the California coast and you notice you need to fill up your gas tank. In CA, sales tax is 2.25%. You spend $56.00 to fill up your tank. How much are you paying in sales tax?
=======================================================
Work Shown:
2.25% = 2.25/100 = 0.0225
2.25% of 56 dollars = 0.0225*56 = 1.26
The amount of sales tax is $1.26
Side note: The total bill is 56 + 1.26 = 57.26 dollars.
Answer:
$1.26
Step-by-step explanation:
So you just have to find 2.25% of 56.
To find a certain percentage of something, you multiply it. Let's write out a sentence explaining what you need to do. You have to find:
2.25% of 56
Whenever you've got a sentence like this, all you've got to do is change the word "of" to a multiplication symbol. And now you've got an expression:
2.25% × 56
Let's convert the percentage to a decimal. To do this, you simply remove the percent symbol, then move the decimal point 2 places to the left.
2.25% = 0.0225
And now you have:
0.0225 × 56
Then you just do the math! I am assuming you already know how to do decimal multiplication so I'm not going to explain the process here.
But once you multiply 0.0225 × 56, you get an answer: 1.26
Hope this was helpful to you, and don't forget to choose the Brainliest answer!
Equivalent expression
9(r + r + r+ r)
Answer:
=9*4r
=36r
Step-by-step explanation:
36r is the answer
Answer:
9 x r
9 x r
9 x r
9 x r
9r + 9r + 9r + 9r = 36r
Which list shows the numbers below in ascending order? (TEK 8.20)
-61, 7.25, 44, 61, - 5.58,
A. – 61, - 5.58, 6, 49, 7.25, 3
B.-5.58, 64, 46, -62, 54, 7.25
C. – 62, 64, - 5.58, 46, 7.25, 34
D. – 5.58, -61, 61, 44, 7.25, $
Answer:
D. – 5.58, -61, 61, 44, 7.25, $
hope this helps..:))))
Identify the length, width, and height of the figure formed.
Need help.............
Answer:
a: 8.2
b:11.2
A: 37
1. Graph the line represented by the equation
y = -3 + 2x
Answer:
Below
Step-by-step explanation:
So i can't attach a pic but i'll explain how to find everything you need to graph this.
Find x intercept (the point on the horizontal line):
Sub y for 0 : 0 = -3 + 2x
move variables : -2x = -3
divide by -2 : x = 3/2
So the x intercept is 3/2 or to make it easier, 1.5
Find y intercept (the point on the vertical line)
Sub x for 0 : y = -3 + 2(0)
solve for y : y = -3
So the y intercept is -3
Now to find the slope (rise/run)
In this case, you first need to reorder the terms:
y = 2x - 3
transform : y = 2x + (-3)
Identify slope : m = 2
So the slope is 2
Here is how to graph this equation
Start from your y intercept which is -3 and count 2 spaces up, and then once space to the right. Keep doing that and it will give you all the points you need to draw your graph!
Hope this helps :)
Multiply (2x - 3)(x - 5) show the work
Answer:
2x^2-13x+15
Step-by-step explanation:
2 time x equals 2x^2, 3 times 5 equals 15
Answer:
2x^2 - 13x + 15
Step-by-step explanation:
Using FOIL
(2x - 3)(x - 5)
V
[(2x ⋅ x) + (2x ⋅ -5) + (-3 ⋅ x) + (-3 ⋅ -5)]
V
2x^2 - 10x - 3x + 15
V
2x^2 - 13x + 15
Please check image and answer as fraction. Thanks! NO LINKS
Answer:
The probability of getting two tails is [tex]\frac{3}{8}[/tex].
Step-by-step explanation:
There are 8 different possible outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT. Since only three of them meet the requirement of only two tails, that means the probability of getting two tails is [tex]\frac{3}{8}[/tex].
HELP PLEASE I NEED TO PASS TOMORROW