Given:
Total number of beans = 20
Number of blue of beans = 8
One bean is selected from the bag at random.
To find:
The probability that she will draw a bean that is NOT blue.
Solution:
We have,
Total number of beans = 20
Number of blue of beans = 8
Number of non-blue beans = 20 - 8
= 12
Now, the probability that she will draw a bean that is NOT blue is
[tex]P(\text{Bean is not blue})=\dfrac{\text{Number of non-blue beans}}{\text{Total number of beans}}[/tex]
[tex]P(\text{Bean is not blue})=\dfrac{12}{20}[/tex]
[tex]P(\text{Bean is not blue})=\dfrac{3}{5}[/tex]
Therefore, the correct option is C.
Solve the equation for x. x^2 = 900
Answer:
x = 30, -30
Step-by-step explanation:
2x^5-4x^3+6x^8
is this a trinomial with a coefficient of 2 or 6?
Answer:
6
Step-by-step explanation:
Coefficient: A number before the variable such as 4 in 4x.
When there is more than one term with coefficient the leading coefficient is always the one that is in the term with the highest exponent:
2x^5 and 6x^8
^8 is bigger than ^5, so that's the leading coefficient.
Tyler says he invented a number puzzle.
He asks Clare to pick a number, and then asks her to do the following:
Triple the number
Subtract 7
Double the result
Subtract 22
Divide by 6
Clare says her final answer is -3. Tyler says her original number she thought must have been 3.
How did Tyler know that? Explain or show your reasoning.
He signed a promissory note with a term of three years the principal was $12,800 with interest at 12.5% how much did BP pay in interest on the note and on the maturity date how much did bo4 principal
Answer:
$48,000
Step-by-step explanation:
Step one:
given data
Principal= $12,800
rate= 12.5%
time = 3 years
Required
The Interest
Step two
SImple interest= PRT/100
substitute
SI= 12800*12.5*3/100
SI=480000/100
SI=$48,000
PLS help!!
Function 1 is defined by the equation d=-3/7t-4
Function 2 is defined by the following table.
Which Function has a more negative slope?
O function 1
O function 2
O both have the same slope
Answer:
function 2
Step-by-step explanation:
Answer:
Function 2
Step-by-step explanation:
wich fraction has the greatest value 5/8 1/6 -1/6 -5/8
pls help I'm on a timer
Melanie and Rena open a joint bank account for their jewelry-making business. Melanie contributes $400 to the account, and Rena deposits 225% as much money as Melanie. Which statements are correct?
Answer:
B,C, D
Step-by-step explanation:
Answer:900
Step-by-step explanation:
Rena deposits 900 into the account
this is freckle math can someone help
Answer: 3x60=180x2=360+6/2=83 but you have to factor that she will sometimes fly backwards . Then after you that into count the answer is (2x6=42=54) now that you take "x" and turn it to 6 yoy get (5,4)
Step-by-step explanation:
The two ordered pairs are (0.05, 0.1) and (0.1, 0.2).
The graph is shown below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
y = 4x
y = number of miles
x = number of hours
4 miles per hour.
Now,
The rate is 2 miles per hour.
This means,
y = 2x
Now,
x = 3 minutes = 3/60 hour = 1/20 hour = 0.05 hour
y = 2 x 1/20 = 1/10 miles = 0.1 miles
The ordered pair is (0.05, 0.1)
x = 6 minutes = 6/60 hour = 1/10 hour = 0.1 hour
y = 2 x 1/10 = 1/5 miles = 0.2 miles
The ordered pair is (0.1, 0.2)
Thus,
The ordered pairs are (0.05, 0.1) and (0.1, 0.2).
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Helppppppppppppppppppppp due in 2hrs
plz watch for more questions
the 2nd pic has the 2 options plz have an explanation
Answer:
B. 20 = 2g
Step-by-step explanation:
What we see here is a diagram showing a bar of 20 at the top, and a pair of g's bars each taking up half of the 20 bar.
Seeing this, that would mean the 2 bars showing g equal 20, so the equation 20 = 2g is the one which the diagram shows.
If 5-x=3 then what is 3x^2
• Solution:-
➪ 5 - x - 3 = 0
➪ 5 - 3 - x = 0
➪ 2 - x = 0
➪ 2 = x
Hence, x = 2
Now,
✯ 3x²
➪ 3 × (2)²
➪ 3 × 4
➪ 12Therefore, 3x² will be = 12.
I need help with this.
Answer:show me
Step-by-step explanation:
Write the equation of the line that passes through the points (-9,-6) and (−8,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
plz help ill give brainliest if correct
Answer: The slope is 7
m =7
y + 6 = 7 ⋅ ( x + 9 )
Step-by-step explanation:
PARABOLA GRAPH MATH PROBLEM PLEASE HELP!!
The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $20 each. If the football team needs to raise at least $3,000 for equipment, write an inequality to represent the situation and find the least number of "Jaguar Cards" the team must sell.
Answer:
The inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".
Step-by-step explanation:
Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for [tex]\$20[/tex] each.
If the football team needs to raise at least [tex]\$3,000[/tex] for equipment.
To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.
Solution:
Let the ADMHS football team sold [tex]x[/tex] "Jaguar Cards" for [tex]\$20[/tex] each.
Now, the football team needs to raise at least [tex]\$3,000[/tex] for equipment.
So, the inequality to represent the situation is [tex]20x\geq 3000[/tex].
Now, on solving we get,
[tex]20x\geq 3000[/tex]
[tex]\implies x\geq \frac{300}{20}[/tex]
[tex]\implies x\geq 15[/tex]
Hence, the inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".
The inequality to represent the situation should be 20x≥30,000 and the number of jaguar cards should be 15.
Writing an inequality function:Since
Here we assume Jaguar cards be x for $20 each to raise at least $3,000 for equipment
20x≥30,000
x≥15
Based on this, the above represent the inequality function.
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8 cars (3 red, 3 blue, 2 yellow) are parked in a line, how many arrangements can be formed if all the cars of each colour are identical and the yellow cars must not be together
Answer:
the answer is 18. There are 18 ways to arrange the cars.
Here is a scale drawing of a garden.
Kim wants to plant a tree in the garden according to the following rules:
It must be 7 m from A and 4 m from C.
Place a cross where Kim can plant the tree.
1 cm represents 2 m
D
2.5 cm
А A
B.
4 cm
View One Minute Version
Answer:
The coordinates of the cross on the scale drawing which locates where Kim can plant the tree is (3.45 cm, 0.58 cm)
Step-by-step explanation:
The question relates to coordinates geometry and the solution can be obtained graphically by construction as shown in the attached drawing
The given parameters of the scale drawing are;
The scale of the drawing is 1 cm = 2 m
The dimensions of the rectangle representing the garden in the scale drawing is given as follows;
The width of the rectangle = 2.5 cm
The length of the rectangle = 4 cm
The required location where the tree is to be planted = 7 m from A and 4 m from point C
Therefore, the location where Kim can plant the tree on the scale drawing is 3.5 cm from point A and 2 cm from point C
Taking the coordinate of point A as the origin, we have;
The coordinates of point A = (0, 0)
∴ The coordinates of point C = (4, 2.5)
The general equation of a circle is (x - h)² + (y - k)² = r²
Where, (h, k) is the coordinate of the center of the circle
The location of the point is on a radius 3.5 cm from point A and a radius 2 cm from point C
Therefore, for point A, we have;
(x - 0)² + (y - 0)² = 3.5²
x² + y² = 12.25...(1)
For point C, we have;
(x - 4)² + (y - 2.5)² = 2² = 4
Which gives;
x² - 8·x + 16 + y² - 5·y + 6.25 = 4
x² + y² - 8·x - 5·y + 22.25 = 4
We have x² + y² = 12.25 from equation (1), therefore, we have;
12.25 - 8·x - 5·y + 22.25 = 4
- 8·x - 5·y = 4 - 22.25 - 12.25 = -30.5
∴ 8·x + 5·y = 30.5
y = (30.5 - 8·x)/5
Therefore, we have;
x² + y² = 12.25 = x² + ((30.5 - 8·x)/5)² = 12.25
Using a graphing calculator we get;
356·x² - 1952·x + 2496 = 0
Which gives;
x = (1952 ± √((-1952)² - 4×356×2496))/(2 × 356)
x = 3.452197227 or 2.03094884081
To two decimal places, we have the coordinates of the points where the tree can be planted given as follows;
Therefore, y = (30.5 - 8×3.452197227)/5 = 0.5764844368
or y = (30.5 - 8×2.03094884081)/5 = 2.8504818547
y = 0.5764844368 or 2.8504818547
To two decimal places, we have the coordinates of the places where Kim can plant the tree are given as follows;
(3.45, 0.58) or (2.03, 2.85)
We note that the point (2.03, 2.85) is at the outside the drawing the area as 2.85 cm is more than 2.5 cm which is the width (height) of the rectangle as shown in the attached drawing created with Microsoft Word.
Therefore, the coordinates of the cross where Kim can plant the tree is (3.45, 0.58)
Answer:
Step-by-step explanation:
Make sure to use protractor and cross tools to get full marks
Thank you
Answer this question plss
correct answer get's brainliest :D
Answer:
C
Step-by-step explanation:
Answer:
The answer is A :)
brainliest pls
Find the value of x in the following figure ( Please hurry)
Answer:
x=9
Step-by-step explanation:
2x+12=5x-15
3x=27
x=9
Answer:
the value of X in the figure is 0 I think
Use a calculator to find the trigonometric value to
4 decimal places.
tan 31°
=
Answer:
Approximately 0.6009
The value of tan 31 is 0.6008606.
What is Trigonometry?
The branch of mathematics concerned with specific functions of angles and their application to calculations.
As, the angle 31° lies between 0° and 90° (First quad).
So, tangent function is positive in the first quadrant.
Tan 31 degrees= tan (0.54105 . . .) in radians.
As, using degree to radian conversion,
θ(radians) = θ in degrees × (π/180°)
31 degrees = 31° × (π/180°) rad
= 0.5410
So, tan 31°
= tan(0.5410)
= 0.6008606.
Hence, tan 31= 0.6008606.
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Which value of n makes the equation true?
1/2(n+4)=6
Answer:
8
Step-by-step explanation:
1/2(12)=6
Answer:
8
Step-by-step explanation:
1/2(8+4)=6
which value of x is the solution set of 2(3x-1)≥4x-6
Answer:
-1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
2(3x - 1) ≥ 4x - 6
Step 2: Solve for x
Distribute 2: 6x - 2 ≥ 4x - 6Subtract 4x on both sides: 2x - 2 ≥ -6Add 2 on both sides: 2x ≥ -4Divide 2 on both sides: x ≥ -2Here we see that any value x greater than or equal to -2 would work as a solution.
A (litres)
160
140
120
100
The amount of oil A left in a leaky barrel after
t minutes is shown on the graph alongside.
a Find the gradient and A-intercept of the line.
Interpret your answers.
6 Find the model connecting A and t.
c. How much oil will be left after 15 minutes?
d For what values of t is it reasonable to apply
this model?
80
60
40
20
0
12
6
(minutes)
Answer:
Step-by-step explanation:
Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.
a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{(160-120)}{(0-8)}[/tex]
= -5
A-intercept = 160
b). Linear equation to represent the given relation in the graph will be,
A = (-5)t + 160
c). At t = 15 minutes,
A = (-5)(15) + 160
A = -75 + 160
A = 85 liters
d). This model is applicable till the container gets fully emptied.
For A = 0,
0 = -5t + 160
t = [tex]\frac{160}{5}[/tex]
t = 32 minutes
Therefore, this model is reasonable up to t = 32 minutes.
Ehat is (-2,-4) rotated 270⁰ counterclockwise about the origin?
X+4²=2 answer plz plz
Answer:
Step-by-step explanation:
Here you go mate
Step 1
X+4²=2 Equation
Step 2
X+4²=2 4x4
x+4^2=2
Step 3
x+4^2=2 subtract 4^2
answer
x=-14
hope this helps
A rectangle with a perimeter of 9 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.2 with the origin as the center of dilation. If (x,y) represents the location of any point on the original triangle, which ordered pair represents the coordinates of the corresponding point on the resulting triangle?
A. (x + 0.2, y + 0.2)
B. (.2x, .2y)
C. (9x, 9y)
D. (x + 9, y +9)
Answer:
B now give me brain
Please help! Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?
Answer:
$715.50 my dudeeee
Step-by-step explanation:
..........
Ralph pays a total of $715.5 for the computer including the sales tax amount.
What is Percentage?Percentage is defined as the part of a number in a whole of 100. % is the symbol used to denote the percentage.
Percentage of a number in a whole can be calculated by dividing that number with the whole and then multiply to 100.
Actual price of the computer = $675
Sales tax rate = 6%
Ralph has to pay the actual price and in addition the sales tax to buy the computer.
Amount of sales tax = 6% × 675
= (6/100) × 675
= 0.06 × 675
= $40.5
Ralph should add $40.5 to the actual price.
Total payment made for buying the computer = $675 + $40.5
= $715.5
Hence Ralph pays a total amount of $715.5 for the computer.
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does anyone know the answer
(s/3) -4=2
Answer: 18
Step-by-step explanation:
Answer:
s=18
Step-by-step explanation:
Solve for s by simplifying both sides of the equation, then isolating the variable.
Brainly pls :)
 ......... you can give me solving
11. UZ, VX, and TW are medians of Triangle TUV. If UZ = 21, find UY.
Answer:
UY = 14
Step-by-step explanation:
The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertexIn the given figure
∵ TUV is a triangle
∵ UZ, VX, and TW are medians
∵ UZ ∩ VX ∩ TW at point Y
∴ Y is the point of intersection of the 3 medians
→ By using the 2nd rule above
∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U
∴ UY: YZ = 2: 1
∴ [tex]\frac{UY}{YZ}[/tex] = [tex]\frac{2}{1}[/tex]
→ By using cross multiplication
∵ UY × 1 = YZ × 2
∴ UY = 2YZ
∵ UZ = UY + YZ
∴ UZ = 2 + 1 = 3 parts
∵ UY = 2 parts
∴ [tex]\frac{UY}{UZ}[/tex] = [tex]\frac{2}{3}[/tex]
→ Multiply both sides by UZ
∴ UY = [tex]\frac{2}{3}[/tex] UZ
∵ UZ = 21
∴ UY = [tex]\frac{2}{3}[/tex] (21)
∴ UY = 14
Simplify the expression:
4x2 + 9x + 14 + 4x2 - 2x
ASAP PLEASEEEEEEE
Answer:
8x²+7x+14
Step-by-step explanation:
4x²+4x²= 8x²
9x-2x= 7x
14=14
8x²+7x+14
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