A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed
from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is 1/3?
Answer:
7 blue marbles
Step-by-step explanation:
15 blue
5 red
11 green
Total = 31
Number of Blue marbles that must be removed to obtain a probability of :
P(blue) = 1/3
Probability = required outcome / Total possible outcomes
Let number of blue marble to be removed = x
Number of Blue becomes : 15 - x
Total becomes : 31 - x
P(blue) = 1/3
1/3 = (15 - x) / (31 - x)
1/3 * (31 - x) = 15 - x
(31 - x) / 3 = 15 - x
31 - x = 45 - 3x
-x + 3x = 45 - 31
2x = 14
x = 14 / 2
x = 7
Sports team is building a new stadium on a rectangular lot of land. It's a lot measures 10 X by five eggs and the sports field will be 6X by 2X, how much of the lot will be left over to build bleachers on
Answer:
4 X 2
8 unit²
Step-by-step explanation:
Given that:
Lot size = 10 X 5
Sport field = 6 X 2
Dimension of lot left :
(10 - 6) X (5 - 2)
4 X 2
Area left :
Length x width
4 * 2
= 8 units²
4. Which point is labeled at (-2, 3)?
Answer:
G
Step-by-step explanation:
I hope this helps, have a great day:) God bless you!
Answer:
g
Step-by-step explanation:
bc you go from -2 then up the Y axis 3 times and its g
Find the side indicated by the variable. Round to the nearest tenth.
Answer:
b ≈ 25.6
Step-by-step explanation:
From the figure attached,
By applying tangent rule in the given triangle,
tan(32°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(32°) = [tex]\frac{16}{b}[/tex]
b = [tex]\frac{16}{\text{tan}(32)}[/tex]
b = [tex]\frac{16}{0.62487}[/tex]
b = 25.605
b ≈ 25.6
If a Canada savings Bond is worth $6225 after 7 years, and was originally bought for $5000, what was the annual simple interest rate? Answer as a percentage.
[Formulas are,
[I = P, R, T]
[A = P + I]
[A = P(1 + R times T)
Answer:
3.5%
Step-by-step explanation:
Given data
A=$6225
P=$5000
T= 7years
R=???
Simple interest
A=P(1+rt)
substitute
6225=5000(1+7r)
6225=5000+35000r
collect like terms
6225-5000=35000r
1225=35000r
r= 1225/35000
r=0.035
Hence the rate is 0.035*100= 3.5%
What is the volume of this triangular pyramid?
please, I need your help!! I will mark correct answer as brainliest.
Answer:
3, -3, 0
Step-by-step explanation:
The exlcusions of x are where the denominator =0
So we can write the following equations
x²-9=0
and
5x=0
Let's solve the first one
x²-9=0
x²=9
x= ±3
and
5x=0
x=0
Therefore x cannot equal 3, -3, 0
Answer: 3, -3, 0
So, yea. The answer ontop is also correct
HELP PLEASE IM GOING TO FAIL WILL GIVE BRAINLESS
Answer:
x= 20
AD= 23
DC= 23
AC= 46
Step-by-step explanation:
because it's a median that means that x+3=2x-17 solve for x and get x=20 which (I think) means that AD, DC= 23 and that AC= 46
PLEASE HELP ME 100 POINTS
A. 6.3 in
B. 9.1 in
C. 12.6 in
D. 25in
E. 50.2 in
Circumference
[tex]\\ \tt\hookrightarrow 2\pi r[/tex]
[tex]\\ \tt\hookrightarrow 2(3.14)(4)[/tex]
[tex]\\ \tt\hookrightarrow 6.28(4)[/tex]
[tex]\\ \tt\hookrightarrow 25.12in[/tex]
Answer:
Radius of the circle=4 in
Circumference=?
We know that,
[tex] \purple{Circumference_{(circle)}=2πr}[/tex]
[tex] \displaystyle\purple{Circumference_{(circle)}=2 \times 3.14 \times 4}[/tex]
[tex]\purple{Circumference_{(circle)}=6.28 \times 4}[/tex]
[tex]\purple{Circumference_{(circle)}=25.12 \: in.}[/tex]
hhhhheeeeeellllllppppp pppppllllllzzzzz!!!!!!!!
Answer:
c
Step-by-step explanation:
Answer:
HMMMMMM
Step-by-step explanation:
i think its b or c
What is the slope (-5,5) and (5,1)
Answer:
m= - 2/5
Step-by-step explanation:
What is 9867 rounded to the nearest 1000
Answer:
10,000Hope it helps
Have a good day
Simplify a^5/a^3 and c^4/c^3
Answer:
a²
c¹
Step-by-step explanation:
a^5/a^3 = a^(5-3) = a²
c^4/c^3 = c^(4-3) = c¹
Add the equations. What value belongs in the green box? 3x + 2y = 9 -x - 2y = 4 [?] + [?] = [?] A. 4x B. 2x C. -3x D. -2x
Consider the first blank is the green box.
Given:
The equations are
[tex]3x+2y=9[/tex]
[tex]-x-2y=4[/tex]
To find:
The value belongs in the green box
Solution:
We have,
[tex]3x+2y=9[/tex] ...(i)
[tex]-x-2y=4[/tex] ...(ii)
Adding (i) and (ii), we get
[tex]3x+2y-x-2y=9+4[/tex]
[tex](3x-x)+(2y-2y)=13[/tex]
[tex]2x+0=13[/tex]
So, the value for the first black is 2x. It means the value belongs in the green box is 2x.
The values of three blanks are 2x, 0 and 13 respectively.
Therefore, the correct option is B.
Answer:
2x + 0 = 13
Step-by-step explanation:
To add the equations, we add the corresponding terms on both sides of the equal sign.
The given equations:
3x + 2y = 9
-x - 2y = 4
Adding the equations term by term:
(3x + (-x)) + (2y + (-2y)) = 9 + 4
Simplifying the equation:
2x + 0 = 13
The term "0" in the equation indicates that the terms (2y and -2y) cancel each other out when added.
PLZ HELP 2/3*2
THXXX
Answer:
4/3 or 1 1/3
Step-by-step explanation:
2/3 x 2/1 gets you 4/3
That's an improper fraction, so you can simplify it to 1 1/3 if necessary.
A 34-foot pole is casting a shadow that is 17 feet long. How far is the top of the flag pole from the end of the shadow?
Answer:
108
Step-by-step explanation:
A right triangle has side lengths 5, 12, and 13 as shown below.
Use these lengths to find cos B, tan B, and sin B.
COS
B
13
5
5
tan
A
12
с
Sin
Answer:
c
Step-by-step explanation:
a. 3in, 4in, 5 in
5^2 ? 3^2 + 4^
25 ? 9 + 16
25 = 25
Because the two sides are equal, this is a right triangle.
b. 5in, 6in, 7in
7^2 ? 5^2 + 6^2
49 ? 25 + 36
49 < 61
Because 49 < 61, this is an acute triangle.
c. 8in, 9in, 12in
12^2 ? 8^2 + 9^2
144 ? 64 + 81
144 < 145
Because 144< 145, this is an acute triangle.
F(x) = 24/x^2. When x=8
Answer:
3/8
Step-by-step explanation:
F(8)=24/8^2=24/(8*8)=24/64=3/8
4x³ + 9 + 16x² +4 + 12x³ + 17
combine like terms and order
Answer:
16x^3+16x^2+30
Step-by-step explanation:
Find the length of the
missing side of the triangle
to the nearest tenth.
What is a solution to the inequality m<25
Answer:
I think the answer is m= -91
Six added to the quotient of 84 and seven
Answer:
84 divided by 7 is 12 + 6 = 18
The system of equations has .
the options are
1. one solution
2. no solution
3. infinitely many solutions
Answer: 3. Infinitely many solutions
Step-by-step explanation:
If you simplify the first equation you get the same equation of y=-2 which is infinitely many solutions
Trey is currently in debt and the balance of his account is -$24. If his
sister Catherine is in three times as much debt as he is, what is the balance
of Catherine's account?
Please teach me how to do this thank youuu.
Answer:
-10.2
Step-by-step explanation:
To find the equation you have to pick to random points, find the slope, and the y-intercept.
(1,-2) (2,2)
Slope = 2 - - 2 / 2 - 1
Slope = 4 / 1
Slope = 4
an estimate of the y-intercept is -2.2 meaning the function is f(x) = 4x - 2.2
when x is replaced by -2 like the question is requesting f(-2) = 4(-2) - 2.2
f(-2) = -10.2
* i really hope this made sense
-4(y-2)=12
what does y equal
Answer:
y = -1
Step-by-step explanation:
-4 (y - 2) = 12
1. Multiply: -4y + 8 = 12
2. Subtract: -4y = 4
3. Divide: y = -1
help with rounding off please !:(
Answer:
(a) 3800
(b) 7000
(c) Does unit mean ones place? 31
(d) 82.8
(e) 1000
(f) 0.48
Step-by-step explanation:
simplify the expression
3x +4 +yxy +7y -10x + 6
Answer:
- 7x + 10 + y² + 7 y
Step-by-step explanation:
Hope this will help
what is the value of x
10= 3x - 6
X=
Answer:
[tex]x= \frac{16}{3}[/tex]
Step-by-step explanation: Can i get brain plz!
TS is the height of a building. PQR is a pole in front of the building. QT is a horizontal cable that supports the pole to the building. Find the height of the pole?
Answer:
The answer is 65.75
Step-by-step explanation:
Since tq is perpendicular to PR then qtsr becomes square
Then
[tex]qr = 30 \: \: \: \: \: and \: qt = 30 \\ [/tex]
Since the triangle pqt is right angled
Then
[tex]pq = qt \tan(50) = 30 \times \tan(50 ) = 35.75[/tex]
Then the height of the pole is equal to
[tex]pq + qr = 35.75 + 30 = 65.75[/tex]
Write a linear equation in slope Intercept form of a line with a slope of -3 and y Intercept of 0
Answer:
y=-3x
Step-by-step explanation:
THe equation formula is y=mx+b, with m being the slope and b being the y-intercept. Because the y intercept is 0, you don't need to include it.