A box of chocolates contains 18 chocolate squares. 10 of the squares are milk chocolate. 5 are dark chocolate and 3 are white chocolate if christina randomly chooses a chocolate out of the box, what is the probability of her choosing a white chocolate square

Answer:

14x15-10x10=110

A=110

Step-by-step explanation:

Answer:

First, we'll need to find the length of each side.

10m + 4m = 14m

10m + 5m = 15m

Now that we know the length of 2 sides, let's call them the "North" and "West". The measure or length of "South" is the same as "North" and the measure or length of "East" is the same as "West".

To find the Area of the WHOLE square, we'll need to multiply both lengths.

14 × 15 = 210m^2

To find the area of the given figure:

1. Find the Area of the 10m of the "North" and the 10m of the "West".

10 × 10 = 100m^2

2. Minus the Area of the product of 10m of the "North" and the 10m of the "West" from the Area of the WHOLE square.

210m^2 - 100m^2 = 110m^2

The area of the given figure is 110m^2.

Hope it helps you! ^^

Answer: ( −∞ , ∞)

Step-by-step explanation: Any value of x makes the equation true.

All real numbers

original equation

[tex]2(x+1)=2x+2[/tex]

distribute

[tex]2x+2=2x+2[/tex]

solve

[tex]2=2\\\\0=0[/tex]

the answer is 0.

An expression is defined as a set of numbers, variables, and mathematical operations. The value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰ˣ is 5.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰x can be found,

[tex]32^{(5-3x)}=2^{-10x}\\\\2^{5(5-3x)}=2^{-10x}\\\\5(5-3x)=-10x\\\\25-15x=-10x\\\\25=-10x+15x\\\\25=5x\\\\x=5[/tex]

Hence, the value of x in the given expression 32⁽⁵⁻³ˣ⁾ = 2⁻¹⁰ˣ is 5.

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Answer:

(y+2)=2(x−3)

Or

(y−4)=2(x-6)

Or

y=2x−8

Step-by-step explanation:

Answer:

[tex]y= -\dfrac{5}{3} x+7[/tex]

In order to find equation:

Find slope:

[tex]\sf slope: \dfrac{y_2- y_1}{x_2 -x_1} = \dfrac{rise}{run}[/tex]  where (x1, y1), (x2, y2)

[tex]\hookrightarrow \sf slope: \dfrac{-3-2}{6-3}[/tex]

[tex]\hookrightarrow \sf slope:- \dfrac{5}{3}[/tex]

Find Equation:

[tex]\boxed{\sf y - y_1 = m(x_1 -x)}[/tex]  "m" is slope

[tex]\sf \rightarrow y-2 = -\dfrac{5}{3} (x-3)[/tex]

[tex]\sf \rightarrow y-2 = -\dfrac{5}{3} x+5[/tex]

[tex]\sf \rightarrow y= -\dfrac{5}{3} x+5+2[/tex]

[tex]\sf \rightarrow y= -\dfrac{5}{3} x+7[/tex]

Answer:

3.65102725271

Step-by-step explanation:

The linear equation with a slope of 1 that passes through (3, 5) is:

y = x + 2.

The general linear equation is given by:

y = a*x + b

Where b is the y-intercept and a is the slope.

Here we know that the slope is 1, so we have:

y = x + b

And we also know that the line passes through (3, 5), then we must have that:

5 = 3 + b

We can solve that for b:

b = 5 - 3 = 2

So the linear equation is:

y = x + 2.

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Answer:

option A is the effect on the graph

Hence, [tex]x=13cm[/tex].

What is the triangle?

A triangle is a two-dimensional shape, in Euclidean geometry, which is seen as three non-collinear points in a unique plane.

Here given that,

Perpendicular is [tex]12cm[/tex]

Base is [tex]5cm[/tex]

Hypotenuse is [tex]x[/tex]

As we know,

[tex]H^2=B^2+P^2[/tex]      ........[tex](1)[/tex]

Now substitue these values in equation [tex](1)[/tex], we get

[tex]H^2=(5)^2+(12)^2\\\\x^2=25+144\\\\x^2=169\\\\x=\sqrt{169}\\\\x=13cm[/tex]

Hence, [tex]x=13cm[/tex].

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Answer:

The formula for determining the present value of an annuity is PV = dollar amount of an individual annuity payment multiplied by P = PMT * [1 – [ (1 / 1+r)^n] / r] where: P = Present value of your annuity stream. PMT = Dollar amount of each payment. r = Discount or interest rate.

Step-by-step explanation:

Hope this helps :) :)

The probability of selecting a biography or a mystery is 0.8

We assume that all the books have the same probability of being randomly selected.

The probability of getting a particular type of book is given by the quotient between the number of these books and the total number of books.

Here we want to find the probability of selecting a biography or a mystery, there are 9 mysteries and 7 biographies, and a total of 20 books in the shelf, so the probability is:

P = (7 + 9)/20 = 16/20 = 4/5 =0.8

The probability is 0.8

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Answer:

7 hours and 50 minutes.

Hi Student!

Looking at the question, we are given a fraction that has a pi symbol.  We learn in trigonometry that a whole circle is made up of 2 * pi and we know that a circle is 360 degrees.  That means that just having pi means that we have 180 degrees.

Therefore, looking at the fraction that was given to us, we can basically interpret it as 180 degrees / 4.  That will give us a solution of 45 degrees which is our final answer.

Answer:

[tex]45^{\circ}[/tex]

Step-by-step explanation:

[tex]\dfrac{\pi}4 = \left(\dfrac{\pi }{4} \times \dfrac{180}{\pi} \right)^{\circ} = \left( \dfrac{180}4 \right)^{\circ} = 45^{\circ}[/tex]

Answer:

x = 110

Step-by-step explanation:

measure of abd is 35, meaning adb is also 35.

so dab + abd + adb is 180

=> x + 35 + 35 = 180

=> x + 70 = 180

=> x = 180-70

=> x = 110

110 degrees is the value of x.  

Answer:

x = 35

Step-by-step explanation:

Complementary angles refers to a pair of angles which add up to make a 90° right angle.

Lets assume them as Angle A And Angle B.

Angles A = 40°

Angles B = x+15

Angle A + Angle B = 90°

40+15+x = 90°

x = 90 - 55

x = 35°

So, x = 35°

This line tells John that the point must lie in Quadrant 1 if r is positive or Quadrant 2 if r is negative. Therefore, the point will lie Quadrant 3 or 4 the angle of rotation.

Step 1; John will start plotting the point by first of all seeing the sign of the radius and the value of the given angle.

Step 2; John will make a circle of the given radius, and plot the point at an angle given as a coordinate on the circle.

If r is positive, then the point will lie in Quadrant 1 or 2. However, If r is negative, then the point will lie in Quadrant 3 or 4.

In case r is positive, the point will lie in the same quadrant as the angle of rotation.

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Answer:

the binomial coefficient

Answer:

Step-by-step explanation:

Answer:

[tex]0.33[/tex]

Step-by-step explanation:

There are 6 sides on dice, therefore the sample space would be 6 (the sample space is the denominator). We were asked to find the probability of getting a 1 or a 6. Since we were given 2 options 1 or 6, it therefore means that we are trying to find the probability of the dice rolling on 2 out of the 6 sides it has. Therefore the probability would be:

[tex] \frac{2}{6} \: or \: \frac{1}{3} [/tex]

A third as a decimal is

[tex]0.33[/tex]

Both h ≥ –5 and h < 2 represent the area more than or equal to negative 5 and less than 2.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality equation is given below.

h ≥ –5 and h < 2

Then h ≥ –5 represents the area more than or equal to negative 5.

And h < 2 represents the area less than 2.

Then both h ≥ –5 and h < 2 represent the area more than or equal to negative 5 and less than 2.

The graph is given below.

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Answer:

THe Answer is A

Step-by-step explanation:

Step-by-step explanation:

Based on the given conditions,

Formulate:(100-80)÷80

Calculate the sum or difference:20/80

Cross out the common factor:1/4

Multiply a number to both the numerator and the denominator:1/4×25/25

Write as a single fraction :25/4×25

Calculate the product or quotient :25/100

Rewrite a fraction with denominator equals 100 to a percentage:25%

Answer : 25%

Answer: 60.5 in

Step-by-step explanation:

Area of rectangle = length times width

Length = 5.5 in

Width = 11 in

11 x 5.5 = 60.5

The area of the rectangle is 60.5 in

Step-by-step explanation:

its confusing the way the numbers are placed. But..

if the question is 2 whole number times 3 ÷4x2

=2×3/4×2

=6/8

=3/4

if it's 2 whole number, 3/4 fraction, multiplied by 2

2³/⁴ × 2

=4×2+3=11/4

=11/4 ×2

=11/2 or 5 1/2

Answer:

y = -x + 7

Step-by-step explanation:

y = x + 5 works for the first row, but fails for the rest.

y = x + 3 fails for the first row

y = -x + 7 works for the first row ( -1 + 7 = 6)

It works for the second row ( -2 + 7 = 5)

It works for the third row ( -3 + 7 = 4)

And it works for the final row ( -4 + 7 = 3)

Answer: (6,-2)

Step-by-step explanation:

[tex]M'=(4+2, 3-5)=\boxed{(6,-2)}[/tex]

Answer:

  (5, 2)

Step-by-step explanation:

The question is asking you to express the temperature at 5 pm as a pair of graph coordinates.

Doing this requires that you ...

__

The description of the graph tells you the horizontal scale is hours after noon, so the temperature at 2 pm will be a point on the graph with an x-coordinate of 2. That point is (2, 7), indicating the temperature at 2 pm is 7 °C.

Likewise, the temperature at 8 pm is shown as the point on the graph with x-coordinate 8. That point is (8, -3), indicating a temperature of -3°C at 8 pm.

The temperature halfway between those values (7 °C and -3 °C) can be found several ways. Perhaps the easiest is to average the values:

  (7 +(-3))/2 = 4/2 = 2

The temperature at 5 pm is 2 °C.

Coordinates on the graph are ordered pairs of the form (x, y) = (hours, °C). The time 5 pm is 5 hours after noon, so the x-coordinate is 5. The temperature at 5 pm is halfway between the temperatures at 2 and 8 pm, which we have computed to be 2 °C, so the y-coordinate is 2.

The coordinates that represent the temperature at 5 pm are ...

  (5, 2)

Answer:

14.6°, 165.4°

Step-by-step explanation:

We can say that x is the supplementary angle and x + 150.8 is the other angle

Supplementary angles add up to 180°

x + x + 150.8 = 180

2x = 29.2

x = 14.6 | we found one of the angles

x + 150.8 = 165.4 | find the other angle