2/3c - 2 = 2 + c

Solve for C.

If the second and third cards have a spade then the probability that the first card drawn is a spade is 21.2%.

Probability can be described as a field of mathematics that determines how likely a thing is to happen. When there is uncertainty about the outcome of an event we consider the probabilities of certain results or outcomes.

There are a total of 13 spades in a deck of 52 playing cards. So if the second and third cards have spades then there are 11 spades remaining.

The formula for probability can be given as;

probability = number of favorable outcomes or events ÷ total number of outcomes or events

probability = 11 / 52 = 0.212

Converting it into percentage;

probability = 0.212 × 100 = 21.2%

Therefore, the probability that the first card drawn is a spade is calculated to be 21.2%.

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Answer:

3/2

Step-by-step explanation:

6/4 = 1.5

3/2 = 1.5

So we know 1.5 is the scale and it asks for it in fraction form which would be 3/2.

It is to be noted that the predicted rating after taking a dose in two decimal places is 5.53. See the explanation below.

Recall that we are given the expression:

y= 0.5x²−3.6x+8.9 .......................function 1

After 2.5 hours,

Predicted Rating (y) =

0.5 (2.5)² - 2.6 (2.5) + 8.9  [Substitute x into the function]

y= 0.5 (6.25) - 2.6 (2.5) + 8.9 [Expand the brackets]

y= 3.125 - 6.5 + 8.9

y= 5.525

Hence the predicted rating in two decimal places is 5.53. This means that the symptoms have been reduced by at least 50%.

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At 32 cm^2/s rate the area of the square is increasing when the area of the square is 64 [tex]cm^{2}[/tex]

As per given problem each side of a square is increasing at a rate of 2 cm/s. let side of square is x.so the area of it is A= [tex]x^{2}[/tex].now differentiating w.r.t time A

[tex]\frac{dA}{dt}[/tex]= 2x[tex]\frac{dx}{dt}[/tex]

when A=64 [tex]cm^{2}[/tex] x=8 cm

also given [tex]\frac{dx}{dt}[/tex]=2cm/s

so [tex]\frac{dA}{dt}[/tex]=2×2×8=32

So at 32 cm^2/s rate the area of the square is increasing when the area of the square is 64 [tex]cm^{2}[/tex]

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The trigonometric ratio which can be used to find the measurement of F using only the lengths is: D. tangent only.

In geometry, a tangent is also known as a tangent line and it can be defined as a straight line that touches a plane curve at a specific point.

Mathematically, the tangent of an angle is given by this expression:

Cosθ = Adj/Hyp

Where:

Since both the opposite side and adjacent side of this right-angled triangle are given, cosine is the trigonometric ratio which can be used.

For this right-angled triangle, the cosine of the angle (θ) is given by:

Cosθ = 9/F

F = 9/Cosθ

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Answer:

2  legos were green

Step-by-step explanation:

Given- in an assorted colored lego box, 5/6 of the legos were red, and 2/3 of the remaining legos were green. if there were 18 legos,

let->

x number of the red ball then probability= x/18=5/6

=>x=15

then, 3 balls are other in which the green +remaining ball is present according to the question.

2/3 times of 3 are green legos==>

(2/3)*3=2 are green legos;

and the last ball 1 lego is remain.

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5 to the power of -3 in its simplest form without any indices is 1/125 or 0.008.

Exponents

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself. For example, 6 is multiplied by itself 4 times, i.e. 6 × 6 × 6 × 6. This can be written as [tex]6^4[/tex]. Here, 4 is the exponent and 6 is the base. This can be read as 6 is raised to power 4.

We know that,

[tex]a^{-b}=\frac{1}{a^b}[/tex]

Hence, we can write,

[tex]5^{-3}=\frac{1}{5^3}[/tex]

We know that the cube of 5 is 125.

Hence, we can write,

[tex]\frac{1}{5^3}[/tex] = 1/125

1/125 is the simplest form of fraction and is equal to 0.008 in decimal form.

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Answer:

1y is the answer!

Step-by-step explanation:

-6y+7y=1y

Answer:

-6y + 7y = 1y

Step-by-step explanation:

[tex]32 - 6y + 7y - 2y^2[/tex]

-6y + 7y = 1y

7y - 6y = 1y or y

the whole equation would be [tex]-2y^2+y+32[/tex]

The number that must be added to the positive difference of 4³/10 and 7⅔ to obtain 25​ is 21 [tex]\frac{19}{30}[/tex]

A mixed number is a non-integer that is made up of a whole number, a numerator and a denominator. An example of a mixed number is 21 [tex]\frac{19}{30}[/tex].

The first step is to determine the positive difference between the mixed numbers. If the difference is positive, it means that the smaller fraction was subtracted from the larger fraction.[tex]7\frac{2}{3} - 4\frac{3}{10}[/tex]

[tex]3\frac{20 - 9}{30}[/tex] = [tex]3\frac{11}{30}[/tex]

The next step is to subtract 3 11/30 from 25

25 -  [tex]3\frac{11}{30}[/tex] = 21 [tex]\frac{19}{30}[/tex]

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Answer:

B

Step-by-step explanation:

Due to the absolute value sign....there will be no negatives in the answer for y....    so either   b or c

2.5 * |-3|  = 7.5      so answer B

Answer:

б) не более трех раз

Triangle b is a obtuse triangle.

A closed triangle has three vertices, three sides, and three angles. The symbol for a triangle with the three vertices P, Q, and R is PQR. Sandwiches and signboards in the shape of triangles are the most prevalent triangle-shaped objects.

A triangle has an obtuse angle if one of the inner angles is greater than 90 degrees. In an obtuse triangle, if one angle is greater than 90°, the total of the other two angles is also less than 90°.

As the triangle B have one interior angle as 126 degree which is greater than 90

so it follows the property of obtuse triangle

Hence, triangle b is a obtuse triangle.

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Answer:

width=x

length=x+8

area= x(x+8)

new width =x+2

new length=x+10

New Area = (x+2)(x+10)

(x+2)(x+10)-x(x+8)= 68

after solving:

4x=68-20

4x=48

x=12

width=12m

length=12+8=20m

Answer: what

Step-by-step explanation:

The equation of the line graph in slope intercept form is gotten as;

y = x + 3

The general formula for the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, from the given straight line equation graph, we can see that the line crosses the x-intercept at x = -3 and crosses the y-intercept at y = 3. Thus;

When x = 0, y = 3

When y = 0, x = -3

Slope is gotten by using two points and their coordinates to get;

m = (3 - 0)/(0 - (-3))

m = 3/3

m = 1

Thus, the equation of the line is y = x + 3

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Answer:

[tex]\frac{15-6-6}{2}[/tex] = x

You should have 1.5 feet of space between each picture.

Step-by-step explanation:

Let x be the spacing between the pictures

[tex]\frac{15-6-6}{2}[/tex] = x The total length - end spacing - the width of the posters.  What is left is the blank spaces between the posters.  Since there are 2 blank spaces, we will divide by 2 to find out the spacing between the two pictures.  Which is 1.5 feet.

The speed of Car A when it travels 60 miles in 2 hours is 30 miles per hour. This is the rate. Therefore, that is true.

From the information, it should be noted that Car A travels 60 miles in 2 hours. It should be noted speed is calculated as:

Speed = Distance / Time

It should be noted that speed simply means the distance that's travelled with respect to time.

Speed = 60 / 2

Speed = 30 miles per hour

Note that an overview was given as enough information wasn't given about Car B.

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The wind speed when the air pressure is 20kpa will be 954.36 miles per hour.

From the information, there is a close relationship between the air pressure inside a hurricane and its maximum sustained wind speed: y = -0.932x + 973.

where x = the air pressure in millibars (kPa) l

y = wind speed in knots (nautical miles per hour).

Therefore, the wind speed when the air pressure is 20kpa will be calculated thus:

y = -0.932x + 973.

y = -0.932(20) + 973.

y = -18.64 + 973

y = 954.36

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There is a close relationship between the air pressure inside a hurricane and its maximum

sustained wind speed: y = -0.932x + 973 where x is the air pressure in millibars (kPa) and y is the

wind speed in knots (nautical miles per hour). Find the wind speed when the air pressure is 20kpa.

The truth statements about the transformations are:

There are four types of transformation, and they are:

The representation of the types of transformation are:

Of the above transformation, only the dilation transformation do not preserve side lengths or distance

Hence, the categories of the transformations are

(a), (c) and (d) ⇒ Preserve

(b) and (e) ⇒ Do not preserve

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The expression z raised to the twentieth power over y raised to the twentieth power is equivalent to the expression given in the question.

y raised to the negative second power = [tex]y^{-2}[/tex]

z raised to the seventh power = [tex]z^{7}[/tex]

Thus, in the numerator we have the expression- [tex]y^{-2} z^{7}[/tex]

In the denominator, we will have-

z raised to the negative third power = [tex]z^{-3}[/tex]

y raised to the eighth power = [tex]y^{8}[/tex]

denominator will be = [tex]z^{-3} y^{8}[/tex]

Thus, the expression becomes-

[tex](\frac{y^{-2 }z^{7} }{z^{-3} y^{8} })^{-2}[/tex]

Now, that we've decoded the expression, let us solve it-

[tex]({y^{-2 }y^{-8} z^{7} z^{3} )^{-2}[/tex]

= [tex]({y^{(-2-8) } z^{(7+3)})^{-2}[/tex]

= [tex]({y^{(-10) } z^{(10)})^{-2}[/tex]

= [tex]{y^{(-10*-2) } z^{(10*-2)}[/tex]

= [tex]{y^{(20) } z^{(-20)}[/tex]

= [tex]\frac{z^{20} }{y^{20} }[/tex]

= [tex](\frac{z}{y} )^{20}[/tex]

Thus, the expression z raised to the twentieth power over y raised to the twentieth power is equivalent to the expression given in the question above.

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The price of a 10-ounce bottle is $0.79

The price of a 12-ounce bottle is $0.99

The price of a 20-ounce bottle is $1.64

The price of the 64-ounce bottle is $4.98

Package price of 10-ounce bottles = $3.19

Number of bottles in the package = 4

Price per bottle = Package price/Number of bottles = 3.19/4

= $0.79

Package price of 12-ounce bottles = $5.99

Number of bottles in the package = 6

Price per bottle = Package price/Number of bottles = 5.99/6

= $0.99

Package price of 20-ounce bottles = $6.56

Number of bottles in the package = 4

Price per bottle = Package price/Number of bottles = 6.56/4

= $1.64

Package price of 64-ounce bottles = $4.98

Number of bottles in the package = 1

Price per bottle = Package price/Number of bottles = 4.98/1

= $4.98

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[tex] \: \huge \tt{\pink{A}{\orange{N}S{\green{W}{\blue{E}{\purple{R}}}}}} \\ \\ \: \: \: \tt \rightarrow {\blue{\fbox{147 \: sets}}} (approx)[/tex]

Step-by-step explanation:

Fixed costs = $ 1329.50 per month

Variable cost are $3.70 per set of napkins

Total cost she set aside = $1870 for monthly costs

Amount left for napkins = Total cost - Fixed Cost

= 1870 - 1329.50

= $540.50

Cost for one set = $3.70

Let set of napkins = x

Total cost for napkins = $540.50

Therefore , she can afford to make 147 (approx) sets of napkins per month.

Answer: 13.50

Step-by-step explanation: Add all the ages and divide it by the number of bears

The diagram shows a semi-circle inside a rectangle of length 150 m.

The semi-circle touches the rectangle at A, B and C,  the perimeter of shaded region is 267.8m

Perimeter of a circle =  2 πr

Thus, as per the diagram given:

Length of rectangle = 150 m

The radius of semi circle = half of 150 m = 75 m

So, the width of the circle is same as radius = 75 m

The shaded region is bounded by the circumference of a quarter circle (AB) and the two sides measuring it are 75 m each.

Perimeter of Quarter circle = 2πr

On substituting r

Perimeter of Quarter circle = 2π x 75

Perimeter of the shaded region = 117 + 75 + 75 = 267.8 m

The diagram shows a semi-circle inside a rectangle of length 150 m. The semi-circle touches the rectangle at A, B and C,  the perimeter of the shaded region is 267.8m

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Using Algebra, Age of David is 13 years old, and Hama is 39.

The area of mathematics known as algebra deals with symbols and the formulas used to manipulate them. These symbols, which are currently expressed as Latin and Greek letters, are used in elementary algebra to represent variables, or quantities without set values.

If David were n years old and Hamas was 3 years old, then:

n + 3n = 52

4n = 52

n = 13

3n = 3 * 13 = 39

13 plus 39 equals 52

David is 13 years old, and Hama is 39.

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The rational numbers arranged on a number line will graduate from the highest to the lowest (left to right) as follows:

A rational number is defined in mathematics as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q. For example, −4/7 is a rational number, as is every integer.

Note that a number line is defined as a horizontal line with evenly spaced numerical increments.

To get the order in which the numbers must be arranged, the trick is to convert the number for which you have doubt into their decimal forms or d integer forms.

A) √16 = 4

B) 2/3 = 0.6

C) |-3| = 3 {Reason: Absolute Value of any number must be its positive equivalent]

D) 2.47 x 10^{-2} = 0.0247

E) -1/4 = -0.25

Hence rearranged in descending order (from highest to lowest) we have:

On the number line, the first nubmer from the left will be √16, followed by |-3|, and so on.

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After factorization, the absolute value of the variable 'x' is 9.

What is factorization method?

The factorization method is used for the quadratic based equation whose highest degree is either two or more than two. Depending upon the degree of the variable, the number of factors are calculated. And by substituting the calculated value to check whether the answer is correct or not.

According to the question, the given linear equation is: |2x - 4| = 15

Now, to calculate the value of the variable 'x' by using factorization method. And to remove the bars which represent absolute value that means positive values

Required expression: |2x - 4| = 15

⇒ 2x = 15 + 4 = 19

⇒ x = 19/2 = 9.5

After factorization, the absolute value of the variable 'x' is 9.

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Answer:

3

Step-by-step explanation:

18,15,12,..........

S

n

=45=

2

n

[2a+(n−1)d]

=>

2

n

[2×18+(n−1)(−3)]=45

=>

2

n

[36−3n+3]=45

=>n(39−3n)−90=0

=>39n−3n

2

−90=0

=>3n

2

−39n+90=0

=>n

2

−13n+30=0

=>n

2

−10n−3n+30=0

=>n(n−10)−3(n−10)=0

=>(n−10)(n−3)=0

=>n=10 or n=3

If the given mathematical expression 12−{1+2[−1(3−8)]2} is been evaluated , then it will become -18.

The mathematical expression can be simplified by first simplify the expression in the inner bracket one after the other.

The given mathematical expression is 12−{1+2[−1(3−8)]2}

then we can simplify one after the order by following the bracket one after the other, as :

12−{1+2[−1(3−8)]2}

12 - {1+2[-1(-5)]2}

Then we can further simplify the expression as :

12 - {3 [ 5 ] 2}

Then this can be further simplified as :

12 - {30}

This can be further  simplified as :

-18

Therefore, the value of the expression given is -18

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