Bag a contains $3$ white and $2$ red balls. bag b contains $6$ white and $3$ red balls. one of the two bags will be chosen at random, and then two balls will be drawn from that bag at random without replacement. what is the probability that the two balls drawn will be the same color? express your answer as a common fraction

Answer:

SolutioN :

[tex] \longrightarrow \bf \: \frac{1}{4} \times 6 + 3 \times 7[/tex]

[tex] \longrightarrow \boxed{\bf{ \frac{45}{2} }}[/tex]

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           [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       Evaluate 1/4c+3d when c=6, and d=7.

        [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

       Replace c with 6, and d with 7:-

     [tex]\Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}[/tex]

[tex]\bigstar[/tex] On simplification,

   [tex]\Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}[/tex]

[tex]\bigstar[/tex] On further simplification,

    [tex]\Large\text{$\displaystyle\frac{6}{4} +21$}[/tex]

[tex]\bigstar[/tex] On further simplification,

     [tex]\Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}[/tex]

[tex]\bigstar[/tex] Adding the numerators,

[tex]\Large\text{$\displaystyle\frac{90}{4}$}[/tex]

[tex]\bigstar[/tex] Finally, Reducing the fraction:-

[tex]\Large\text{$\displaystyle\frac{45}{2}$}[/tex]

[tex]\Uparrow[/tex] [tex]\mathbb{OUR\:SIMPLIFIED\:EXPRESSION}[/tex]

         [tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

Answer:

(7, - 28 )

Step-by-step explanation:

y = x - 35 → (1)

y = - 4x → (2)

substitute y = x - 35 into (2)

x - 35 = - 4x ( add 4x to both sides )\

5x - 35 = 0 ( add 35 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

substitute x = 7 into either of the 2 equations

substituting into (1)

y = 7 - 35 = - 28

solution is (7, - 28 )

The line plot that represents the height of the flowers in the garden is the line plot named a.

A line plot is a diagram that is used to represent data. The line plot is made up of dots that are used to represents the frequency with which the number appears.

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Answer:

106 students

Step-by-step explanation:

If you take the 2 3/5 and covert it into a whole number by: 2×3+5 = 10

and then you have 96 girls so you add the whole number you got that is 10 and the 96 girls

=96+10= 106 students

⋆ ˚｡⋆୨୧˚hope this helped˚୨୧⋆｡˚ ⋆

Answer:

30 ft.

Step-by-step explanation:

1 + 9 + 20

= 30.

Answer: 30

Step-by-step explanation:

1. Simplify  1+9 to 10

10+20

2. Simplify
30

Done! Hope this helps.

Answer:

Step-by-step explanation:

A box with the volume of 150 in³

Dimensions of the box are

The volume of the box is

Substitute the values and solve the equation for x

The width of the box is 5 in

Answer: 4105.5

Step-by-step explanation:

The number of tickets sold in the previous year is 3723.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the theater group sold 4380 tickets and which was 15% more than the tickets sold the previous year.

Therefore, the tickets sold in the previous year is:

4380 - 15% of 4380

= 4380 - 15×4380/100

= 4380 - 657

= 3723

Hence, the number of tickets sold in the previous year is 3723.

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Answer:

D

Step-by-step explanation:

5([tex]\sqrt{x}[/tex]) = 20 Divide  by 5

[tex]\sqrt{x}[/tex] = 4        Square both sides

x = 16

Widths can't be negative

Answer: D

Step-by-step explanation:

A = LW

[tex]\sqrt{x}[/tex] * 5 = 20

[tex](\sqrt{x} * 5)^{2} = 20^{2}[/tex]  (square both sides)

x * 25 = 400

25x = 400

[tex]\frac{25x}{25} = \frac{400}{25}[/tex]  (divide both sides by 25)

x = 16

[tex]\sqrt{16} = 4[/tex]

x = 16, and the width is 4.

Answer:

  7 cm

Step-by-step explanation:

The circumference of a circle is given in terms of its radius by the formula ...

  C = 2πr . . . . where r represents the radius

__

Using the given values in the formula, we can find the radius to be ...

  C/(2π) = r

  43.96/(2×3.14) = r = 7 . . . . cm

The radius of the circle is 7 cm.

Answer:

C

Step-by-step explanation:

hyp² = opp² + adj²

10² = 8² + x²

The equation of the given circle with points  P(-10,10) and Q(6,-2) gives the diameter of a circle will be (x-2)² +(y-4)² = 100.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circle objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

Area of circle = πr²  and the perimeter of circle = 2πr where r is the radius of the circle.

Given that diameter of the circle is bounded by points P(-10,10) and Q(6,-2).

Centre coordinate = midpoint of P(-10,10) and Q(6,-2).

Midpoint of P(-10,10) and Q(6,-2)  

[(-10 + 6)/2 , (10-2)/2 ] = (-2,4 )

Diameter of circle = length between P(-10,10) and Q(6,-2).

lenth between P(-10,10) and Q(6,-2) = 10 units can be calculated by length formula.

The equation of a circle with a center (-2,4 ) and diameter of 10 is given by

(x-2)² +(y-4)² = 10² hence it will be correct.

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Answer:

the answer is 13, all you had to do was substitute 5 for N, so all you had to do was 3 + 2(5) which is 13

Answer:

The integers are 2.

Step-by-step explanation:

Answer: 3 and 6

Step-by-step explanation:

3+6=9

3x6=18

Answer:

2 sets

Step-by-step explanation:

we have to divide 4 into 10...

so 10 books / 4 groups equals 2 with a remainder of 2. each set needs to have exactly 4 books... so there would be 2 sets.

Answer:

its 7 not 2

Step-by-step explanation:

because

im right

For the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is  3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.

A conditional statement with the antecedent and effect reversed is known as a converse statement.

We have statement:

1. If two angles are both obtuse, the two angles are equal.

Converse: The two angles are equal if the two angles are both obtuse.

2. If 3 - 2x = 13, then x = -5.

Converse: x = -5 if the equation is  3 - 2x = 13

3. If 2 angles are supplementary, then they are not equal.

Converse: Two angles are not equal if 2 angles are supplementary.

Thus, for the first statement the converse is two angles are equal if the two angles are both obtuse, for second "x = -5 if the equation is  3 - 2x = 13" for third Two angles are not equal if 2 angles are supplementary.

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Answer:

31.5 units.

Step-by-step explanation:

The area is the height times the base divided by 2.

9x7 = 63

63/2 = 31.5

Answer:

sec(B)=b. ab/bc

sin(B)=c. ac/ab

csc(B)=f. ab/ac

cot(B)=a. bc/ac

tan(B)=e. ac/bc

cos(B)=d. bc/ab

Step-by-step explanation:

SOHCAHTOA

Sine=Opposite/Hypotenuse

Cosine=Adjacent/Hypotenuse

Tangent=Opposite/Adjacent

SHACHOCotAO

Secant=Hypotenuse/Adjacent

Cosecant=Hypotenuse/Opposite

Cotangent=Adjacent/Opposite

The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

The expression is given as:

x² + 4x - 45

Expand the equation

x² + 4x - 45 = x² + 9x - 5x - 45

Factorize the expression

x² + 4x - 45 = x(x + 9) - 5(x + 9)

Factor out x + 9

x² + 4x - 45 = (x - 5)(x + 9)

Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

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Answer:

Factor x2+4x−45 using the AC method. (x+9) (x−5)

Step-by-step explanation: so B

Answer:

a) 2/10

b) 3/20

c) option 2

Step-by-step explanation:

Answer:

5x+2y=8

2x+2y=2

subtract both eq.

3x-0y=6

3x=6

x=2

x+y=1

2+y=1

y= -1

Answer:

Your sentence got cut out or sum.

Step-by-step explanation:

I'm assuming it's asking: What is 150 out of 800?

If so:

150/800 --> 3/16

3/16 --> Percent Form: 18.75%

Final Answer: 18.75%

Answer:

7.2

Step-by-step explanation:

(6)^2 + (4)^2

36 + 16

52

square root of 52 = 7.2

Answer:

≈ [tex]44.4%[/tex][tex]%[/tex]%

Step-by-step explanation:

The person will wait for no more than 20 minutes if they arrive when the bus is going to stop in 20 minutes, which means that they must arrive 25 minutes after the previous bus stops. So the probability that the person will not wait for more than 20 minutes will be [tex]\frac{20}{45}[/tex] which is about 44.4%.

Answer:

i don't now the answer so can you be more specific so i can help you

Step-by-step explanation:

Maybe this helps :}}}}}

Answer:

3/4 x 3 (top right)

Step-by-step explanation:

one you selected is incorrect

Answer:

120 i am sorry if i am wrong

Step-by-step explanation:

the volume of the cylinder is 120 cm
I have tried my hardest on studying this
question i am sorry if its wrong

Answer:

Step-by-step explanation:

1. Given that $53000 represents 100% of the original cost. You know that 6.9% as a percentage is equivalent to 0.069 as a decimal.

Increase in price:

           = 53000 * 0.069

           = $3657

2. The question states that the price of the car model is increasing, so you must add the original cost to the increase in price.

Price of next model:

           = 53000 + 3657

           = $56657

The Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Jasmin rakes leaves at two different houses. it takes her 2 1/3 hours to rake leaves at the first house. it takes her 1/2 of that time to rake leaves at the second house.

From the problem:
[tex]= \rm 2\dfrac{1}{3}\times \dfrac{1}{2}[/tex]

[tex]= \rm \dfrac{7}{3}\times \dfrac{1}{2}[/tex]

[tex]= \rm \dfrac{7}{6}[/tex]

[tex]= \rm 1\dfrac{1}{6}[/tex]

Thus, the Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.

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Answer:

15

----

153

15=6+3+1

153=18×17÷2