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
3D In the cryptarithm shown, different letters stand for different digits, and no leading digit can equal 0. Find the greatest possible value of "OFF".
Answer:
1961
Step-by-step explanation:
The greatest value of OFF can be achieved by making the hundreds places the greatest, followed by the tens, and then the ones.
S=9
A=8
U=7
T=6
N=5
986+975=1961
Answer:
955
Step-by-step explanation:
OFF = 955
hope this helps:)
Larry was paid a total of $30 for raking leaves for 8 hours. This rate is constant. What will be the total amount that Larry will be paid for raking leaves for 20 hours of work
Answer:
Step-by-step explanation:
one hour makes 3.75
20*3.75 = 75
A flagpole casts a 32-foot shadow at the same time that Evan casts a 9-foot shadow. If Evan is 6 feet tall, how tall is the flagpole?
Answer:
48
Step-by-step explanation:
by dividing 9 by 6 you get 1.5 and by using distribution you also multiply 32 by 1.5 to get 48
A field has 25 trees in it . 14 trees are new and the rest are old . How many trees are old ? Write two different equations that represent the problem . Then solve .
Answer:
An equation would be 24 - 14 = n. Another one you could write would be 14 + n = 24. The answer is 10 for the amount of old trees.
what is 3/4 divided by 1/8 equals
Answer:
6
Step-by-step explanation:
[tex]\frac{3}{4}[/tex]÷[tex]\frac{1}{8}[/tex]
[tex]=\frac{3}{4} \times \frac{8}{1}[/tex]
[tex]=\frac{3\times8}{4\times1}[/tex]
[tex]=\frac{24}{4}[/tex]
[tex]=\frac{24/4}{4/4}[/tex]
[tex]=6[/tex]
Help now or your mom give u wedgie
Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of $14,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $56,000 down payment be?
If triangle ABC is defined by the coordinated A(3,6), B(7,6), C(7,3) is dilated by a scale factor of 3, with resulting vertex A' at (9,18). What is the the center of dilation?
Answer:
Center of dilation → (0, 0)
Step-by-step explanation:
Vertices of a triangle ABC are A(3, 6), B(7, 6) and C(7, 3).
If this triangle is dilated by a scale factor of 'k' about the origin,
Rule for the dilation is,
(x, y) → (kx, ky)
If vertex A is dilated by a scale factor of 3 about the origin,
A(3, 6) → A'(3×3, 3×6)
→ A'(9, 18)
Therefore, center of dilation is origin (0, 0).
€400 is divided between Ann, Brian and Carol so that Ann has twice as much as Brian and Brian has three times as much as Carol. How much does Brian receives ?
Answer:
€120
Step-by-step explanation:
Let us represent
Ann = x
Brian = y
Carol = z
€400 is divided between Ann, Brian and Carol
Hence: x + y + z = €400...... Equation 1
Ann has twice as much as Brian
Hence:
x = 2y
Brian has three times as much as Carol.
y = 3z
z = y/3
We substitute
x + y + z = €400...... Equation 1
2y + y + y/3= €400
Multiply both sides by 3
2y × 3 + y × 3 + y/3 × 3 = €400 × 3
6y + 3y + y = €1200
10y = €1200
y = €1200/10
y = €120
How much does Brian receives ?
Since, Brian = y
Brian receives €120
which set of vaules could be the side lengths of a 30-60-90 triangle
Answer:A 30-60-90 right triangle is a special right triangle in which one angle measures 30 degrees and the other 60 degrees. The key characteristic of a 30-60-90 right triangle is that its angles have measures of 30 degrees (π/6 rads), 60 degrees (π/3 rads) and 90 degrees (π/2 rads). The sides of a 30-60-90 right triangle lie in the ratio 1:√3:2.
Step-by-step explanation:
The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.
We have,
In a 30-60-90 triangle, the angles measure 30 degrees, 60 degrees, and 90 degrees.
The side lengths of a 30-60-90 triangle have a specific ratio.
Let's denote the length of the shortest side as x, the length of the side opposite the 60-degree angle as y, and the length of the hypotenuse as z.
The ratios of the side lengths in a 30-60-90 triangle are as follows:
Shortest side: x
Side opposite 60-degree angle: y = x√3
Hypotenuse: z = 2x
Given this ratio, we can determine which set of values could be the side lengths of a 30-60-90 triangle.
The values must satisfy the above relationships.
Possible sets of values for the side lengths of a 30-60-90 triangle are:
Set 1:
x = 1
y = x√3 = √3
z = 2x = 2
Set 2:
x = 2
y = x√3 = 2√3
z = 2x = 4
Set 3:
x = 3
y = x√3 = 3√3
z = 2x = 6
Set 4:
x = k (where k is any positive constant)
y = x√3 = k√3
z = 2x = 2k
These sets of values satisfy the ratios for a 30-60-90 triangle.
Remember that the ratios are consistent, so any positive constant can be chosen for the length of the shortest side (x), and the other side lengths (y and z) will follow accordingly.
So,
Any set of values that satisfy the ratios given above could be the side lengths of a 30-60-90 triangle.
Thus,
The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.
Learn more about triangles here:
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write an equation of a line that passes through (-4,2) and is parallel to the line y=1/4x+1
Step-by-step explanation:
answer is explained above
Write an equation that described how many cups of milk, m, would be needed for b cups of blueberries. 6 cups of milk for 2 cups of blueberries
Answer:
6 x 2 = ?
6 x 2 = 1 2
Step-by-step explanation:
6 cups of milk and 2 cups of blueberries multiply them from each other and you get your answer .
What is the slope of the line x = 4?
Answer:
its undefined
Step-by-step explanation:
What is the solution to the system of equations below?
X+ 3y = 15
and 4x+ 2y = 30
O (6,3)
O (3,6)
O (7,-6)
O (-6, 7)
Answer:
(6,3)
Step-by-step explanation:
Here is the system of equations:
x+3y=15
4x+2y=30
Since we have x with a coefficient of 1 in the first equation, let's use substitution to solve this system.
In the first equation, subtract 3y from both sides
x=-3y+15
now substitute -3y+15 as x in the second equation, and solve for y
4(-3y+15)+2y=30
do distributive property
-12y+60+2y=30
combine like terms
-10y+60=30
subtract 60 from both sides
-10y=-30
divide by -10
y=3
Now, substitute y as 3 into either one of the equations to solve for x.
For example, let's use x=-3y+15
x=-3(3)+15
multiply
x=-9+15
x=6
The answer is x=6 and y=3. As a point it's (6,3)
Hope this helps!
A store bought 30 cases of notebooks for a back-to-school sale. Each case has 36 notebooks. How many total notebooks did the store have for the sale?
Answer:
1080 notebooks
Step-by-step explanation:
30×36 You can simplify this...
3*36=108
108×10=1080
Hope this helps!
[tex]Mickey Mouse[/tex]
16 is what present of 64
Answer:16% x 64
Step-by-step explanation:
Answer:10.24
Step-by-step explanation:
Yasmin purchased 6 heads of cabbage that each weighed 2 and StartFraction 3 over 8 EndFraction pounds. How much did the cabbage weigh all together?
Answer:
14 and 1/4
Step-by-step explanation:
So the equation would be-
6 x 2 and 3/8
I would break this up, so
6 x 2 = 12
6 x 3/8 = 18/8
Simplify
18/8 = 9/4 = 2 and 1/4
12 + 2 and 1/4 = 14 and 1/4
Answer:
14 and 1/4
Step-by-step explanation:
Really need your help
Answer:B and D yes, A and C no
Step-by-step explanation:
pls brainliest
The radius of the base of the right circular cone shown below is 5 inches and the height of the cone is 7 inches solving which of the gollowing equations gives the measure 0 of the angle formed by a height of the cone and a radius
Answer:
The required equation is [tex]\tan\theta=\dfrac{7}{5}[/tex].
Step-by-step explanation:
Consider the provided information.
The required figure is shown below:
It is given that the radius of the base is 5 inches and the height of the cone is 7 inches.
We need to given the equation which gives the measure of [tex]\theta[/tex].
Now consider the right angle triangle making an angle [tex]\theta[/tex].
[tex]\tan\theta=\frac{\text{Opp}}{\text{Adj}}[/tex]
[tex]\tan\theta=\dfrac{7}{5}[/tex]
Hence, the required equation is [tex]\tan\theta=\dfrac{7}{5}[/tex].
WILL GIVE BRAINLIEST
In the two-step equation below, what is the second step you would take to solve this equation?
3/4f+5=-5
a. Multiply both sides by 4/3
b. Add five to both sides.
c. Multiply by sides by 3/4
d. Subtract 5 from both sides.
Answer:
a. Multiply both sides by 4/3
Step-by-step explanation:
Since you're dealing with a fraction, multiplying both sides by the reciprocal, which is the fraction flipped, it could cancel out the fraction so now x is alone on one side.
Hope this helped! :)))
1. The solution to a system of equations is (6,-3). Choose two equations that might
make up the system.
A. y = -2r+6
B. y = 2x - 9
C. y = -5x + 27
D. y = 2x - 15
E. y = -4x + 27
find f(-3) f(x) = 4x+7
Answer:
-5
Step-by-step explanation:
4(-3) + 7
-12+7
Answer:
f(-3) = -5
Step-by-step explanation:
f(x) = 4x + 7
f(-3) = 4(-3) + 7
f(-3) = -12 + 7
f(-3) = -5
7 – 6(x – 3) + 2x
A 3x + 3
B -4x – 11
C-4x + 25
D 3x - 3
HELP I NEED HELP IMIDIETLY SORRY I CANT SPELL IM SO CONFUSED
Answer:
I'm pretty sure you need more information, but I could be wrong
Step-by-step explanation:
Answer:
it's 74
Step-by-step explanation:
A and C are supplementary, that means that they add up to 180.
We know that A is 106, so if we take 180 and subtract 106 from it, we get 74.
Fill in the next number in the list. .
3, 4, 6, 9, 13, 18,
Answer:
Next is 18+6=24
...
..
..
...
.
Answer:
uh... Are you counting by 2's? If so, it should be 2,4,6,8,10,12,14 and so on.
Step-by-step explanation:
The length of a rectangle is represented by 4x+6. The width is half the length. What expression represents the perimeter of the rectangle?
Answer: P = 12x + 18
Step-by-step explanation: When you find the perimeter, you do length + length + width +width. Saying 2L + 2W = P is the same thing.
2L = 2(4x +6)2W = 4x +6 (if the width is equal to half the length, twice the width is equal to the length).P = 2L + 2WP = 2(4x + 6) + 4x + 6 (substitute for L and W)P = 8x + 12 + 4x + 6 (distribute)P = 12x + 18 (combine like terms)My guys got me right? I’m giving brainliest
Answer:
1. 12
2. [tex]\pi[/tex] or about 3.14
3. 4.5[tex]\pi[/tex] or about 14.13
4. 12 + 5.5[tex]\pi[/tex] or about 29.27
Step-by-step explanation:
1. The rectangle is 6 by 2
6 * 2 = 12
2. They would combine to form a circle with radius 1, so [tex]\pi * 1^2[/tex] = [tex]\pi[/tex], or if you use 3.14 for pi you get 3.14
3. The radius is 3 and it's half of a full circle, so
[tex]\pi * 3^2 / 2= 4.5\pi[/tex], or if you use 3.14 for pi you get 14.13
4. Adding all of these together, you get 12 + 5.5[tex]\pi[/tex] or if you use 3.14 for pi you get 29.27
Represent the following expression with a single rational number.
-2 ⅖ + 3 ¼ - ⅗
HELP ME PLS
Answer:
1/4
Step-by-step explanation:
-2 2/5 + 3 1/4 - 3/5
-12/5 + 13/4 - 3/5 =
1/4
Apply the distributive property to factor out the greatest common factor. 44+48=44+48=44, plus, 48, equals
2040
&Go do no cheat or dis
Answer: 4(11+12)
Step-by-step : don't ask why I'm even answering this
The circumference of a tire is 96 inches. Determine the radius of the tire. Use 3 for π. *
Answer:
Circumference = 2*pi*radius. Pi = 3. 2 * 3 = 6. Find r: 96/6 = 16.
Step-by-step explanation:
i think it is this 16
What is the image point of (-6,-9)(−6,−9) after a translation left 1 unit and down 5 units?
Answer:
(-7,-4)
Step-by-step explanation:
-6-1=-7
-9-(-5)=-4