A cylindrical grain bin has a radius of 9 feet and a height of 30 feet. How many cubic feet of grain can the bin hold?

Answer:

Adult=58

Step-by-step explanation:

c=child, a=adult

6.4c+9.7a=1145 equation 1

c+a=149 equation 2

a=149-c modified equation 2 to isolate a

6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2

6.4c+1445.3-9.7c=1145

-3.3c=-300.3

c=91

solve for a

c+a=149

91+a=149

a=58

Check answer:

6.4c+9.7a=1145

6.4(91)+9.7(58)=1145

582.40+562.60=1145

1145=1145

Answer:

Let  x  represent one of the equal length sides making the third side which is  3  inches shorter than each of the other two equal to:

Third piece  =  x − 3 . Knowing that the whole board is  10  feet, in inches it is:

10  feet  ×  12  inches / 1  foot  =  120  inches

To find the length of the pieces, add them and equate it to the legth of the board in inches as shown below:

x  +  x  +  x  −  3  =  120  + 3

3 x /3  =  123 /3

x  =  41  inches

Third piece  =  x  −  3  =  

41  −  3  

=  38  inches

Step-by-step explanation:

Answer:

1cm:20cm

Step-by-step explanation:

10cm:2m

1m=100cm

10cm:200cm

÷10

1cm:20cm

Answer:

2 cm, 9 cm, 10 cm

Step-by-step explanation:

To know if a combination is a triangle all you have to do is see if the combinations add up to 180

(2)(9)(10)=180 therefore it is a triangle.

All the other angles do not add up to 180 so they can't be triangles!!

(4)(10)(3) =120

(5)(6)(11) =330

(4)(5)(7) =140

Answer:

77.5 will be the correct answer

Step-by-step explanation:

oki!

so 58 ÷ 19 is 3.05, and round it! we will get 3.1

so we multiply 25 by 3.1 and get 77.5!

Answer:

4.5 lb

Step-by-step explanation:

1.5*3 is 4.5

Answer:

The correct solution is "x=3 or x=9".

Step-by-step explanation:

The given equation is:

⇒  [tex]x^2 - 12x + 49 = 22[/tex]

On subtracting "22" from both sides, we get

⇒  [tex]x^2-12x+49-22=22-22[/tex]

⇒          [tex]x^2-12x+27=0[/tex]

On factorizing the above equation, we get

⇒  [tex]x^2-9x-3x-27=0[/tex]

By taking common, we get

⇒  [tex]x(x-9)-3(x-9)=0[/tex]

⇒          [tex](x-3)(x-9)=0[/tex]

⇒                        [tex]x-3=0[/tex]

                                 [tex]x=3[/tex]

Or,

⇒                        [tex]x-9=0[/tex]

                                [tex]x=9[/tex]

Answer:

you use the bodmas 12/-4p plus 8 =s

Step-by-step explanation:

hop it helps

Answer:

x=3, -1/7

Step-by-step explanation:

7x^2-20x-3=0

Factor.

(x-3)(7x+1)=0

x-3=0 ⇒ x=3

7x+1=0 ⇒7x=-1 ⇒x= -1/7

Answer:

[tex]x = \frac{-1}{7}[/tex] or [tex]x = 3[/tex]

Answer:

The answer is 45 degrees

Answer: x = 45°

Step-by-step explanation:

since the total angle of that corner is 90°, and one of the angle is 45°

Answer:

0.3. pls give me brainliest

Step-by-step explanation:

7×1/4 = 1.75

1.75 ÷ 2 = 0.875 pans each

it can be written like this, hope this helps: $15/hour <3

The hourly wage 15 dollars an hour as a fraction is $15/1hr.

A fraction represents a part of a number or any number of equal parts.

There is a fraction, containing numerator(upper value) and denominator(lower value).

When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.

A proper fraction is also called fraction which is less than 1.

And an improper fraction is ≥ 1

A mixed fraction contains a sum of whole number and a proper fraction.

Given;

wage of 1hour = $15

In fraction;

15dollars/1hour

Therefore, the answer in fraction will be 15/1

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Answer:

Step-by-step explanation:

Answer:

84 possible paths

Step-by-step explanation:

Given

[tex]N =3[/tex] --- 3 blocks north

[tex]E = 6[/tex] --- 6 blocks east

Required

Number of distinct path

To solve this question, we make use of the following formula

[tex]^{m+n}C_n \ =\ ^{m+n}C_m[/tex]

The above formula implies that;

On a single path, there is a total of m + n steps to get to a particular position, where each path is either in m direction or n direction.

In this case:

[tex]m = 3[/tex]

[tex]n = 6[/tex]

So, we have:

[tex]^{m + n}C_n = ^{3+6}C_6[/tex]

[tex]^{m + n}C_n = ^9C_6[/tex]

Apply combination formula

[tex]^{m + n}C_n = \frac{9!}{(9-6)!6!}[/tex]

[tex]^{m + n}C_n = \frac{9!}{3!*6!}[/tex]

Expand the numerator

[tex]^{m + n}C_n = \frac{9*8*7*6!}{3!*6!}[/tex]

[tex]^{m + n}C_n = \frac{9*8*7}{3!}[/tex]

Expand the denominator

[tex]^{m + n}C_n = \frac{9*8*7}{3*2*1}[/tex]

[tex]^{m + n}C_n = \frac{504}{6}[/tex]

[tex]^{m + n}C_n = 84[/tex]

Hence, there are 84 possible paths

[tex]^{m + n}C_m[/tex] will also give the same result

Answer:

The number of minutes since Luke started driving from his house to his distance from the house is 40 minutes. :)

Step-by-step explanation:

Answer:

2x - 3y + z

Step-by-step explanation:

hope this helped :]

Answer:

Ask you teachers if they can give you extra assignments for extra credit! Sometimes they will!

More than 6% .   I don't know exactly how much, but I know it's more than 6% .  Hope that helps..                                                                                                                                                                                                                                        

Answer:

its 40

Step-by-step explanation:

1x20 = 20

and 2x20=40

Answer:

C) 40

Step-by-step explanation:

Ratio of blue to white marbles: 1:2 = 20:40

The percentage equivalent is 20.

Given,

Percentage .

Now,

Firstly calculate the fractional form,

193/965 = .2

Now to convert fraction into percentage , multiply by 100.

So,

0.2 * 100

= 20%

Thus 193 is 20% of 965 .

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Options :

Which conclusion is most appropriate in the context of this situation?

The data do not support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.

The data support the claim that the proportion of conservatives who smoke cannabis is no different that the proportion for liberals.

The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.

Answer:

The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.

Step-by-step explanation:

Given the hypothesis :

H0:p1−p2=0(p1=p2)

Ha:p1−p2<0

The test statistic = - 4.27

Pvalue = 0.00001

For making statistical decisions ;

Pvalue and α are very useful,

Decison boundary :

When Pvalue ≤ α ; We reject the Null (H0) otherwise, we fail to reject the Null.

However, based on the outcome of the statistical analysis,

The Pvalue < α ; Hence, we reject the Null and conclude that there is significant evidence support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.

Coefficient of 'x'= 5a

Coefficient of 'x square'= -17

Constant term = 14a

Answer:

.11/4 multiply by any number inside the brackets 12x and also 12 to remove the brackets.

2.collect the like terms 3x+8x=11x

3. Then final answer is 11x+3.

Answer:

11x + 3 is the simplest form

Step-by-step explanation:

1/4 (12x + 12) + 8x

First distribute the 1/4 to both terms in the parentheses

= 3x + 3 + 8x

then combine like terms

= 11x + 3

We can't solve for x, only simplify this equation.

Answer:

AB = 32

Step-by-step explanation:

Given:

AD = 40

CD = 9

Required:

Find the length of segment AB

Solution:

BC and CD are radius of the circle. Therefore,

BC = CD = 9

AB = AC - BC

AB = AC - 9

We need to find AC

Since AD is tangent, CD is perpendicular to AD, this means that <D is a right angle. This makes ∆ADC a right triangle.

Therefore, we can apply Pythagorean theorem to find AC.

Thus:

AC² = AD² + CD²

AC² = 40² + 9²

AC² = 1,681

AC = √1,681

AC = 41

Let's find BC:

AB = AC - 9

Plug in the value of AC

AB = 41 - 9

AB = 32