After collecting eggs from his chickens, Dale puts the eggs into cartons to sell. Dale fills 15 cartons and has 7 eggs leftover. Each carton holds 12 eggs.

Answer:

The Last One

Step-by-step explanation:

I used a special calculator plus, I did this already lol. Trust me <3

The required volume of the composite figure is 2260.80 cubic millimeters.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

here,
The volume of the composite figure is given as
Volume = Volume of cylinder + Volume of a sphere
             = πr²h + 4/3πr³
             = π [6²*12 + 4/3*6³ ]
             = 2260.80 cubic millimeters.

Thus, the required volume of the composite figure is 2260.80 cubic millimeters.

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Answer:

[tex]\boxed{\sf \ \ \ age = 16 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

as the mean age of 5 people is 40

it means that the sum of the 5 ages is 40*5=200

now a person enters the room, let's note x his age

the new mean is

[tex]\dfrac{200+x}{6}=36[/tex]

[tex]<=>200+x=6*36=216\\<=> x = 216-200=16\\[/tex]

So the age of the new person is 16

hope this helps

Answer: 7000

Step-by-step explanation:

Let the amount invested in 8% account be P1 and the amount invested in 6% account be P2

. If the total amount invested is $20,000 then:

P1+P2=20,000. (Eq. 1)

The interest earned in one year from the 8% account is:

I1=0.08P1

and the interest earned in one year from the 6% account is:

I2=0.06P2

If the total interest earned is $1460, then:

I1+I2=1460

0.08P1+0.06P2=1460

(Eq. 2) From Eq. 1 :

P1=20000−P2

Substituting this into Eq. 2:

0.08 (20000−P2) + 0.06P2 = 1460

1600 − 0.08P2 + 0.06P2 = 1460

0.02P2 = 140

P2 = 140 / 0.02

P2 = 7000

Hence, he invested $7000 at the rate of 6%.

Answer: Cosec(A) = 3.64

Step-by-step explanation:

Ok, tenemos un triangulo rectángulo.

Sabemos que B = 90° y que  

tg(C) = 3.5

entonces:

Atg(Tg(C)) = C = Atg(3.5) = 74.05°.

Nosotros también sabemos que la suma de todos los ángulos interiores de un triangulo es igual que 180°

entonces:

A + B + C = 180°

A + 90° + 74.05° = 180°

A = 180° - 90° - 74.05° = 15.95°

Entonces Cosec(A) = Cosec(15.95°) = 1/sin(15.95°) = 3.64

Answer:

Step-by-step explanation:

We need to convert the radius and the height to cm first

1 cm = 0.393701 in

r (cm)= 3.7 in

[tex]h(cm)= \frac{3.7}{0.393701}= 9.398 cm[/tex]

1 cm = 0.393701 in

h (cm)= 5.6 in

[tex]h(cm)= \frac{5.6}{0.393701}= 14.22 cm[/tex]

The formula the volume of cylinder is

[tex]volume= \pi r^2h\\\\volume= 3.142*9.398^2*14.22\\volume=3946.17cm^3[/tex]

Answer:

I want to say 9 but im preety sure it's 6

Step-by-step explanation:

you have 54 times to pick it

you have 9 marbles,

54 divided by 9= 6

answer is 6

hope this helped:))))

have a grate dayy

Answer:

1

this is because I see only one marble present which is orange

Answer:

see below

Step-by-step explanation:

x-5 > -2

Add 5 to each side

x-5+5 > -2+5

x > 3

open circle at 3 line going to the right

Answer:

x>3

Step-by-step explanation:

x-5>-2

x>3

Answer:

P(G) = 0.55

the probability of getting an offspring pea that is green. Is 0.55.

Is the result reasonably close to the value of three fourths that was​ expected?

No

Expected P(G)= three fourths = 3/4 = 0.75

Estimated P(G) = 0.55

Estimated P(G) is not reasonably close to 0.75

Step-by-step explanation:

Given;

Number of green peas offspring

G = 450

Number of yellow peas offspring

Y = 371

Total number of peas offspring

T = 450+371 = 821

the probability of getting an offspring pea that is green is;

P(G) = Number of green peas offspring/Total number of peas offspring

P(G) = G/T

Substituting the values;

P(G) = 450/821

P(G) = 0.548112058465

P(G) = 0.55

the probability of getting an offspring pea that is green. Is 0.55.

Is the result reasonably close to the value of three fourths that was​ expected?

No

Expected P(G)= three fourths = 3/4 = 0.75

Estimated P(G) = 0.55

Estimated P(G) is not reasonably close to 0.75

Answer:

The range is 2.1

Step-by-step explanation:

7.7, 8.4, 9, 8, 6.9

Put the numbers in order from smallest to largest

6.9,7.7, 8,8.4, 9

The range is the largest number minus the smallest number

9 - 6.9

2.1

Answer:

Step-by-step explanation:

Let the number of children's tickets sold =c

Let the number of adult's tickets sold =a

Let the number of student's tickets sold =s

A total of 204 tickets were sold, therefore: c+a+s=204

Child tickets are $6, adult tickets are $12, and student tickets are $8.

Total revenue =$2,008

Therefore:

6c+12a+8s-2008

We are also told that 4 more adult tickets were sold than the total number of student and child tickets combined.

c+s=a+4

We then solve the resulting system of equation.

Substituting c+s=a+4 into the first equation

c+a+s=204

a+4+a=204

2a=204-4

2a=200

a=100

Substitute a=100 into the second and third equation

6c+12(100)+8s=2008

6c+8s=2008-1200

6c+8s=808

From the third equation

c+s=100+4

c=104-s

Substitute c=104-s into 6c+8s=808

6(104-s)+8s=808

624-6s+8s=808

2s=808-624

2s=184

s=92

Since c=104-s

c=104-92

c=12

Therefore:

Answer:

Option D

Step-by-step explanation:

I think the most effective sample to this setting would be to

Divide the city into neighborhoods. Randomly sample 10 neighborhoods. And then randomly sample 20 households from those neighborhoods.

The city is first divided into the various distinct and unique neighbourhoods, then randomly sample 10 neighborhood such that this sample is a representation of the many distinct and unique neighborhoods, which include some with large homes, some with only apartments, and others a diverse mixture of housing structures.

Then from each neighborhood, take a random sample of 20 households.

This way, your sample are a representation of the population.

Answer:

  x = -5

Step-by-step explanation:

You are often told to start a problem like this by clearing fractions. Multiply the equation by the least common denominator of the fractions. Here, that value is 6.

  4x -3 = 2 +5x . . . . multiply the equation by 6

  -5 = x . . . . . . . . . . . add -2-4x to both sides

The solution is x = -5.

_____

If you're comfortable with arithmetic using fractions, you can "cut to the chase." Subtract 2/3x+1/3 from both sides:

  (2/3x -1/2) -(2/3x +1/3) = (1/3 +5/6x) -(2/3x +1/3)

  -1/2 -1/3 = 5/6x -2/3x . . . . simplify a little

  -5/6 = 1/6x . . . . . . . . . . . . .simplify more

  -5 = x . . . . . . multiply by 6

Answer:

120

Step-by-step explanation:

we know if the arc measures 120, we know that its 1/3 of the circle, so ABC will also be 120

Answer:

i. is the better option.

Step-by-step explanation:

The probability first is a King = 4/52 = 1/13.

The probability second is a Queen = 4/51.

The probability first is a King and second is a Queen = 1/13 *4/51 =  4/663.

So there is a much betert chance  to bet just that the first one is a King

Answer:

[tex]n=3\sqrt{2}[/tex]

Step-by-step explanation:

[tex]2n=1\times \left(3\sqrt{2}\right)\times \:2[/tex]

[tex]2n=2 \times 3\sqrt{2}[/tex]

[tex]2n=6\sqrt{2}[/tex]

[tex]\frac{2n}{2}=\frac{6\sqrt{2}}{2}[/tex]

[tex]n=3\sqrt{2}[/tex]

Answer:

n = 3√2

Step-by-step explanation:

=> [tex]1(3\sqrt{2} )2 = 2n\\6\sqrt{2} = 2n\\[/tex]

Dividing both sides by 2, we'll get

=> [tex]\frac{6\sqrt{2} }{2} = \frac{2n}{2}[/tex]

So,

=> n = [tex]3\sqrt{2}[/tex]

Answer: Option d.

Step-by-step explanation:

Ok, we have 3 urns.

Each urn can give a number between 0 and 9, so each urn has 10 options.

And as the urns are different, the outcome in the first urn does not affect the outcomes in the others, and the same happens for the outcome in the second urn, so the events are independent.

The total number of combinations is equal to the product of the number of options for each event (here each urn is one event)

then the number of combinations is:

C = 10*10*10 = 10^3 = 1000

Then the correct option is d.

Answer:

9 canvases

Step-by-step explanation:

To find the number of canvases Rogelio can buy, we just need to divide the value of the gift card by the value of each canvas. Then, if the result is decimal, we round down, because if we round up we will not have enough money to buy them all.

So we have that:

Number of canvases = 100 / 10.99

Number of canvases = 9.099

Rounding down, we can buy 9 canvases

Answer:

  $85

Step-by-step explanation:

Let y represent Timmy's money after x weeks. If we assume that the only money Timmy has is what is mentioned in the problem statement, then ...

  y = 50 +5x . . . . . $50 initially plus $5 for each week

After 7 weeks, x = 7, so Timmy's fortune will be ...

  y = 50 +5(7) = 50 +35

  y = 85

Timmy will have $85 in 7 weeks.

Answer:

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Step-by-step explanation:

Answer: 12

Step-by-step explanation: each side is 3, and there are 4 sides so 3*4=12

Answer:

3^5

Step-by-step explanation:

becuase 3*3*3*3*3

Answer: 3^5 (3 to the power of 5)

Step-by-step explanation:

3 is multiplied by itself 5 times

To shorten the expression, exponential notation is used and it becomes 3^5, which essentially means three multiplied by itself 5 times

ex. 4^3 equals 4x4x4

Answer:

Step-by-step explanation:

Adding the two together 1212 + (99 - 1)

1310

1212/1310 = 606/655

Decimal: 0.9252

I'm always happy to help :)

Answer:

P = [tex]\frac{19}{7}[/tex] or the decimal answer is 2.71

Step-by-step explanation:

Answer:

12/40=0.3

0.3 car parts per minute

9 / 0.3 = 30 minutes

30 minutes for 9 parts

Hope this helps

Step-by-step explanation:

Jose required 30 minutes to assemble 9 parts.

Jose assemble 12 car parts in 40 minutes. Time consumed by jose to assemble 9 parts to be calculated.

In mathematics it deals with numbers of operations according to the statements.

Here,
40 minute = 12 parts
40/12 = 1 part

Time to assemble 9 parts: = 40/12 x 9
                                             = 10/3 x 9
                                             =  30

Thus, Jose required 30 minutes to assemble 9 parts.

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Answer:

combine 4m -8m to get -4m

[tex] - 4m - 2[/tex]

Answer:

− 4m-2

Step-by-step explanation:

Answer:

[tex]y = 5x-15[/tex]

Step-by-step explanation:

Parallel ⇒ So the slopes will definitely be equal

So,

Slope = m = 5

Now,

Point = (x,y) = (4,5)

So, x = 4, y = 5

Putting these in the slope intercept form to get b

[tex]y = mx +b \\[/tex]

5 = (5)(4) + b

5 = 20 + b

b = -20+5

b = -15

So, Putting m and b in the slope intercept form to get the required equation,

[tex]y = 5x-15[/tex]

Answer:  see table below

Step-by-step explanation:

Simply add the digit on the left to the digit on the top

1, 2 --> 1 + 2 = 3

3, 4 --> 3 + 4 = 7

4, 2 --> 4 + 2 = 6

6, 6 --> 6 + 6 = 12

[tex]\begin{array}{c|c|c|c}&\underline{\quad 2\quad }&\underline{\quad 4\quad }&\underline{\quad 6\quad }\\\underline{\quad 1 \quad}&\bold{\underline{\quad 3\quad}}&\underline{\quad 5\quad}&\underline{\quad 7\quad}\\\underline{\quad 2 \quad}&\underline{\quad 4\quad }&\underline{\quad 6\quad }&\underline{\quad 8\quad}\\\underline{\quad 3 \quad}&\underline{\quad 5\quad }&\bold{\underline{\quad 7\quad}}&\underline{\quad 9\quad}\\\end{array}[/tex]

[tex]\begin{array}{c|c|c|c}{\underline{\quad 4 \quad}&\bold{\underline{\quad 6\quad }}&\underline{\quad 8\quad }&\underline{\quad 10\quad }\\\underline{\quad 5 \quad}&\underline{\quad 7\quad}&\underline{\quad 9\quad}&\underline{\quad 11\quad}\\\underline{\quad 6 \quad}&\underline{\quad 8\quad }&\underline{\quad 10\quad }&\bold{\underline{\quad 12\quad}}\\\end{array}[/tex]

Answer:

The like terms are: [tex]a^{2}b,\ ab,\ \teaxt{and}\ a[/tex]

Step-by-step explanation:

The expression is:

[tex]-a^{2}b+6ab-8+5a^{2}b-6a-b-a^{2}b-6a-a^{2}b+5a^{2}b+6ab+5a^{2}b+6ab-6a[/tex]

Collect the like terms as follows:

[tex]-a^{2}b+6ab-8+5a^{2}b-6a-b-a^{2}b-6a-a^{2}b+5a^{2}b+6ab+5a^{2}b+6ab-6a[/tex]

[tex]=(-a^{2}b+5a^{2}b-a^{2}b-a^{2}b+5a^{2}b+5a^{2}b)+(6ab+6ab+6ab)-(6a-6a-6a)-b-8[/tex]

[tex]=12a^{2}b+18ab+18a-b-8[/tex]

Thus, the final expression is [tex]12a^{2}b+18ab+18a-b-8[/tex]

The like terms are: [tex]a^{2}b,\ ab,\ \teaxt{and}\ a[/tex].

Answer:

The CORRECT answer is B

Step-by-step explanation:

Answer:

a) 0.69

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = 0.6915

Step-by-step explanation:

Step(i):-

Given mean of the Population = 54.6 inches

Given standard deviation of the Population = 5.7 inches

Let 'X' be the random variable of normal distribution

Let 'X' = 51.75 inches

[tex]Z = \frac{x-mean}{S.D} = \frac{51.75-54.6}{5.7} = -0.5[/tex]

Step(ii):-

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = P(Z>-0.5)

                  = 1 - P( Z < -0.5)

                 =   1 - (0.5 - A(-0.5))

                =    1 -0.5 + A(-0.5)

               =    0.5 + A(0.5)    (∵A(-0.5)= A(0.5)

              =     0.5 +0.1915

              =  0.6915

Conclusion:-

The probability that a randomly selected 10-year old child will be more than 51.75 inches tall

P(X>51.75 ) = 0.6915

Answer:

(a)f(4) square cm.

(b)f(10.91)-f(10.9) Square centimeter.

Step-by-step explanation:

f(r)=the area of a circle (in square cm) that has a radius of r cm.

(a)Area (in square cm) of a circle whose radius is 4 cm.

Since r=4cm

Area of the circle = f(4) square cm.

(b) When the radius of the increases from 10.9 to 10.91 cm.

Change in the Area = f(10.91)-f(10.9) Square centimeter.