Complete question :
Anna has a box of chocolates. In the box there are milk, plain and white chocolates in the ratio 4:3:2. The box contains 72 chocolates altogether. Anna doesn't like white chocolates. Work out the probability that she will pick a chocolate that is not white?
Answer:
7 / 9
Step-by-step explanation:
Calculate the number of each type of chocolate :
Milk : plain : white = 4 : 3 : 2
Total ratio = (4 +3 +2) = 9
Milk = (4/9) * 72 = 32
Plain = (3/9) * 72 = 24
White = (2/9) * 72 = 16
Probability of picking a chocolate that is not white :
Number of non-white :
(plain + milk) = (24 + 32) = 56
Probability = (required outcome / Total possible outcomes)
P(not white chocolate) = (number of non-white / total number of chocolates)
= 56 / 72
= 7 / 9
In ΔQRS, the measure of ∠S=90°, SQ = 47 feet, and RS = 70 feet. Find the measure of ∠R to the nearest tenth of a degree.
Answer:
33.9
Step-by-step explanation:
What function uses the OPPOSITE and the ADJACENT?
tanR=
adjacent /opposite
=
70/ 47
tanR=
70 /47
R=tan
−1
( 70 /47 )
Solve for z. 12=15(z-1/5)
Answer:
1
Step-by-step explanation:
First, Distribute
Then, add 3 to both sides
Then, Divide 15 from both sides
1=Z
Helppppppppppppppppppppp due in 2hrs
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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.
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.
Learn more about trigonometry here:
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Solve the inequality 24 + 4x ≥ 100
Answer:
x ≥ 19
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
24 + 4x ≥ 100
Step 2: Solve for x
Subtract 24 on both sides: 4x ≥ 76Divide 4 on both sides: x ≥ 19Here we see that any value x greater than or equal to 19 would work as a solution to the inequality.
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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wich fraction has the greatest value 5/8 1/6 -1/6 -5/8
pls help I'm on a timer
Bags of flour come in 3 sizes:
Small bag: A 500 g bag costs 90p.
Medium bag: A 2 kg bag costs £3.40.
Large bag: A 4 kg bag costs £7.60.
Calculate the cost of 2 kg for the small and large bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments.
Answer:
Ik where u got this q from but:
small bag is £3.60
large is $3.80
Step-by-step explanation:
the 500 grams x 4 to get 2kg then do 90p x 4
then
4kg divided by 2 to get 2kg as the question states, then do £7.60/2
hegarty maths anyone?
There are 1,092 people who work in an office building. The building has 4 floors, and the same number of people work on each floor. How many people work on each floor?
Answer:
273 people.
Step-by-step explanation:
Given that,
Total number of people working on an office building = 1092
The building has 4 floors, and the same number of people work on each floor.
We need to find how many people work on each floor. Let there are n people in each floor.
n = Total number of people/Total number of floors
[tex]n=\dfrac{1092}{4}\\\\n=273[/tex]
So, there are 273 people working on each floor.
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 :)
Need help with math pls help.
9514 1404 393
Answer:
D
Step-by-step explanation:
Segment D seems to have a slightly steeper slope than segment C.
6a - 3d
When a =1,d=2
Is it 0
3
1
12
Answer:
0
Step-by-step explanation:
uhh I need help what is equivalent to 1 to 4 ????
Answer:
2/8
Step-by-step explanation:
 ......... you can give me solving
PARABOLA GRAPH MATH PROBLEM PLEASE HELP!!
Find the value of x.
Answer:
110 degrees
Step-by-step explanation:
The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.
Now, add up all the angles that you know and subtract that from 900 to find the value of x.
900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees
The length of a rectangle is 5 cm longer than the width. The perimeter of the rectangle is 118 cm. What is the length and the width of the rectangle? How do you know?
Answer:
answer is length 32 cm breadth 27 cm
plz refer to picture
please help me . need your help .
Answer:
23.3 cm
Step-by-step explanation:
use Pythagoras Theorem
length BD= 16²+10²= 356
√356= 18.9 cm
length DH= 30²-18.9²= 542.8
√542.8= 23.3 cm
DH=AE
Hence, AE= 23.3 cm
hope it helps! please mark me brainliest
thank you! have a good day ahead
if u follow me, i will follow u back
Answer: yes
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:
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
A number h added to -3 is at most 3.4
Given the equations y= 1/2x + 2 and y= -x - 1, what is the solution.
Answer:
(−2,1)(-2,1)
x=−2,y=1
Step-by-step explanation:
Tell me if it's correct
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
Need this one quick as well, sorry.
HELP !!!.
I need help with these questions( see image).
Please show workings.
9514 1404 393
Answer:
a) 7b) -27c) 18d) 8e) 2f) 1Step-by-step explanation:
The limit of any polynomial function at a point is the value of the polynomial at that point. A polynomial is defined and continuous for all values of the independent variable.
The limit of a rational function at a "hole" is the value of the simplified function at that point.
1a) lim = 4+3+2-2 = 7
1b) lim = (3)(-3)(3) = -27
1c) lim = 3^2+9 = 18
1d) lim = (x+4) = 4+4 = 8
1e) lim = 3x+1 = 3(1/3) +1 = 2
1f) lim = x^2/x^2 = 1
_____
The expressions of (e) and (f) can be simplified by factoring the difference of squares: a^2 -b^2 = (a -b)(a +b). In each case, one of the factors cancels the one in the denominator, so the remaining function can be evaluated at the limit point.
As x approaches infinity, the only terms of a rational expression that matter are those of the highest degree in numerator and denominator. (There's a little more to it if the numerator has a higher degree than the denominator.)
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
i need help with this can you show me some work so i can do it by my self after
Answer:
Step-by-step explanation:
1) √36 = 6
2) ^3 √8 = 2
3) ^3 √64 = 4
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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Please help me for brainliest!! There is a picture! Answer choices : 2, 4, 6, 8
Answer:
x = 2
Step-by-step explanation:
The 2 triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{x}{8}[/tex] = [tex]\frac{3.5}{14}[/tex] ( cross- multiply )
14x = 28 ( divide both sides by 14 )
x = 2
What's the answers to Part A and Part B?
Answer:
there's nothing there
Step-by-step explanation: