A solid sphere is cut into 10 equal wedges. The volume of each wedge is Solve the formula for r. 15 O Ar= V2 O B. r = 151 O c. r= 15V (27) O D. r= 15V - 27​

Answer:

x minus y: when it says "minus", it means substracting, so x - y.

The product of two numbers: If we call one x and the other y, the product of them is the same as multiplying them, so xy.

The product of two numbers is six: If we call one x and the other y, the product of them is the same as multiplying them and we know the result of doing so is 6, so xy = 6

Six less than a number is y: So if we substract x to a number, the result is y, so 6 - x = y

x substracted by y: this means we substract x from y, which is the same than y minus x, so y - x

y divided by x: this means y is being divided by x, so y/x

The sum of two numbers is six: That means we sum x and y, and the result is 6, so x + y = 6

x divided by y: This means x is being divided by y, so x/y

The sum of x and y: this means both numbers are summing, so x + y

Six times a number equals y: This means 6 per a number (let it be x) is equal to y, so 6x = y

Answer:

Step-by-step explanation:

4.5

The required time that two highway workers to mow the grass together on this stretch of highway is 2 hours,

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Rate of doing for highway workers A = 1 / 3
Rate of doing for highway workers B = 1 / 6
Now total rate,
= 1 / 3 + 1 / 6
= 2 + 1 / 6
= 3 / 6
= 1 / 2
Now,
it takes for the two highway workers to mow the grass together on this stretch of highway,
Time = 1 / 1 / 2
Time = 1 * 2 / 1
Time  = 2 hours,

Thus, the required time that two highway workers to mow the grass together on this stretch of highway is 2 hours,

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Answer:

w = 48

w = 196

Step-by-step explanation:

Width = w

Length = l = 4 + 4w

Use the values for length and width above along with the given value for perimeter in the formula for perimeter.

P = 2l + 2w

488 = 2(4 + 4w) + 2w

488 = 8 + 8w + 2w

488 = 8 + 10w

488 - 8 = (8 + 10w) - 8

480 = 10w

(480)/10 = (10w)/10

48 = w

w = 48

The width is 48 yards.  Use this value to solve for length.

l = 4 + 4w

l = 4 + 4(48)

l = 4 + 192

l = 196

The length is 196 yards.

Answer:

Step-by-step explanation:

Given the set A = {x | x ∈ N and 20 < x} , from the set it can be seen that the element of the set are natural numbers where  20< x.

If 20< x

reciprocating both sides will change the sense of the inequality

1/20>1/x

cross multiply

x > 20

This means that the values of x are values grater than 20.

The smallest three values will be the smallest three natural numbers greater than 20 and they are 21, 22 and 23. Note that natural numbers are whole numbers.

Step-by-step explanation:

multiple height by width

Answer:

Area of a square: side × side

Area of a circle: π[tex]r^{2}[/tex]  

Area of a triangle: [tex]\frac{1}{2}bh[/tex] (1/2 × base × height)

Answer:

175,760, 000 plates

Step-by-step explanation:

There are 3 spots where there are 26 choices each

(=26^3)

and 4 spots where there are 10 choices each (the digits 0 through 9, =10^4). This gives:

26^3 x 10^4 = 175,760,000 plates

Hope this helps!

Answer:

[tex]x=\frac{55}{3},\:y=\frac{22}{3}[/tex]

Step-by-step explanation:

Solve by Elimination

[tex]\begin{bmatrix}x+2y=33\\ x-y=11\end{bmatrix}[/tex]

[tex]\begin{bmatrix}x+2y=33\\ -3y=-22\end{bmatrix}[/tex]

[tex]-3y=-22[/tex]

Divide -3 on both sides

[tex]y=\frac{22}{3}[/tex]

[tex]x+2\cdot \frac{22}{3}=33[/tex]

[tex]\mathrm{Subtract\:}2\frac{22}{3}\mathrm{\:from\:both\:sides}[/tex]

[tex]x+2\cdot \frac{22}{3}-2\cdot \frac{22}{3}=33-2\cdot \frac{22}{3}[/tex]

[tex]x=\frac{55}{3}[/tex]

[tex]x=\frac{55}{3},\:y=\frac{22}{3}[/tex]

Answer:

dk man

Step-by-step explanation:

Answer:

Step-by-step explanation:

where

n is the number of terms

From the question since we are finding the 5th term

n = 5

Substitute the value into the above formula and solve

We have

[tex]b(5) = - 1({2})^{5 - 1} \\ = - 2 ^{4} [/tex]

We have the final answer as

Hope this helps you

Answer:

6000

Step-by-step explanation:

6 people paid for 5 days= 6000

1 person paid for 1 day= 6000/6

                                    =1000

6 people paid for 12 days= 1000x 12

                                         = 12000

12000- 6000= 6000

Answer:

Hey there!

The equation would be y=-1/2x-3.5

Hope this helps :)

Answer:

C

Step-by-step explanation:

We know that p = 2 and q  = 3 so:

2 ~ 3

= 2² * 3³ - 3 * 3

= 4 * 27 - 9

= 108 - 9

= 99

Answer:

Option C

Step-by-step explanation:

The distributive property states that:

[tex]a(b+c)=ab+ac[/tex]

You have to multiply 'b' and 'c' by 'a' to completely distribute.

Example using Distributive Property:

[tex]4(3+5)\\\\\rightarrow\text{Distribute: }4(3+5)=4(3)+4(5)\\\\4(3+5)=12+20\\\\4(3+5)=32[/tex]

Hope this helps.

Answer:

I'm pretty sure its C.

Step-by-step explanation:

cause a would be distributed into b and c. so

a(b+c)

ab +ac

which will then become ab+ac

im bad at explaining sorry

Answer:

5x+2.25v=c

Step-by-step explanation:

$5 member fee and 2.25per video add then mutiply

Answer:

a-b-C+d-e+f-g

Step-by-step explanation:

Steps

$a-b-\left(C-\left(d-e\right)-f\right)-g$

Show Steps

$-\left(d-e\right):\quad-d+e$

$=a-b-\left(C+e-d-f\right)-g$

Show Steps

$-\left(C-d+e-f\right):\quad-C+d-e+f$

$=a-b-C+d-e+f-g$

Answer: [tex]a=5/12[/tex]

Multiply both sides by 5/3

[tex](5/3)*(3/5a)=(5/3)*(1/4)\\a=5/12[/tex]

Answer:

a=12/5=2.4

Step-by-step explanation:

We cross multiply first

3/5a=1/4

5a×1=4×3

5a=12

Divide both sides by 5

5a/5=12/5

a=12/5

a=2.4

Answer:

-155

Step-by-step explanation:

25-(√16-1)·(3-9)²

25 - (1 * 6 - 1)(3 - 9)^2

(1 * 6 -1)(3 - 9)^2 = 6^2 * 5

25 - 6^2 * 5

5 * 6^2 = 180

25 - 180

= -155

The answer to the given expression 25-(√16-1)·(3-9)² will be -83.

A mixture of variables,n umbers, addition, subtraction, multiplication, and division are called expressions.

A mathematical expression serves as proof that two mathematical expressions are equal.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given,

25-(√16-1)·(3-9)²

Since √16 = 4

⇒ 25-(4-1)·(3-9)²

⇒ 25 - 3(-6)²

⇒ 25 - 3 ×36

⇒ -83

Hence, the answer to the given expression 25-(√16-1)·(3-9)² will be -83.

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Answer:

[tex]\Huge \boxed{\mathrm{C. \ 1}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]27 \cdot ((3^3)^{-1})[/tex]

Multiplying exponents.

[tex]27 \cdot 3^{-3}[/tex]

Rewriting 27 with base 3.

[tex]3^3 \cdot 3^{-3}[/tex]

Adding exponents since bases are the same.

[tex]3^0 =1[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

C.  1

Step-by-step explanation:

27 * {(3³)⁻¹}

=      27    

       3³

=      27    

       27

= 1

Answer:

Original cost + tax = Total cost

650+0.08(650) =  

650+52 = $702

Answer:

$599.72

Step-by-step explanation:

8% of 650 is $52 so you add that to $650 which comes up to $702, then you find 15% of the total price, which is $105.30 you subtract that from the total price and you come up with $599.72.

Answer:

x = 1/2 ; x = -3

Step-by-step explanation:

To solve this problem, we first need the quadratic to be set equal to x.  Then, we can use factoring to solve for the values of x.

2x^2 + 5x = 3

2x^2 + 5x + -3 = 3 + -3

2x^2 + 5x + -3 = 0

Note that the first term's coefficient is 2.  This factors into 1 and 2.

Note that the third term's coefficient is -3.  This factors into 3 and -1.

From here, we will simply create the binomial factors for the quadratic.

(2x - 1) (x + 3) = 0

2x - 1 = 0  ;  x + 3 = 0

2x - 1 + 1 = 0 + 1  ;  x + 3 + -3 = 0 + -3

2x = 1  ;  x = -3

2x * 1/2 = 1 * 1/2  ;  x = -3

x = 1/2  ;  x = -3

So our solutions for this quadratic equation are x = 1/2 or x = -3.

Cheers.

Solution:

2x²+5x=3

Using Factorisation method,

2x²+5x-3=0

2x²+6x-x-3=0

2x(x+3)-1(x+3)=0

(2x-1)(x+3)=0

2x-1=0 and x+3=0

x=1/2 and x=-3

Answer:

y = 0.50 + 0.25x

y = 2.25

Step-by-step explanation:

[tex]y = 0.50 + 0.25x\\x = 7\\y = 0.50 + 0.25(7)\\y = 0.50 + 1.75\\y = 2.25[/tex]

where y is the money owed, and x is the number of days a book is late.

Answer:

Step-by-step explanation:

square     square

yards         feet

4                 36

10                 x

 [tex]x = \dfrac{36\cdot10}{4}=9\cdot10=90[/tex]

Answer:

26+a

Step-by-step explanation:

(12+a)+14

(12+14)+a

26+a

Answer:

55,200

Step-by-step explanation:

The employee is paid twice a month. There are 12 months in a year. He is paid 12x2=24 times a year.

Multiply the pay per period by the number or pay periods

=2,300x24

=55,200

Answer:

25 minutes.

Step-by-step explanation:

A person makes an overseas call.

The telephone company charges 65 cents for the first minute.

Then 75 cents for each minute thereafter.

There is a 55 cent service charge.

1 dollar = 100 cents

65 cents = $0.65

75 cents = $0.75

55 cents = $0.55

For a phone call that cost $19.20 ;

Subtracting the service charge and the first minute charge from overall cost we get;

$19.20 - $0.55 - $0.65 = $18

For every additional minute there is a charge of $0.75

How many minutes make $18 ;

Cross multiplying this gives;

[tex]\frac{18}{0.75} * 1[/tex] = 24  minutes.

So the call lasted 24 minutes + 1 minute = 25 minutes.

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

(9x-1)^-1/2 - (x+2)(9x-1)^-1/2

= (9x-1)^-1/2( 1 - (x + 2))

= (9x-1)^-1/2(-1 - x)

= -(x + 1)(9x-1)^-1/2

= -(x + 1) / (9x-1)^1/2

Answer:  Check this answer!

Step-by-step explanation:

                                                   The comparison of two independent population means is very common and provides a way to test the hypothesis that the two groups differ from each other. Is the night shift less productive than the day shift, are the rates of return from fixed asset investments different from those from common stock investments, and so on? An observed difference between two sample means depends on both the means and the sample standard deviations. Very different means can occur by chance if there is great variation among the individual samples. The test statistic will have to account for this fact. The test comparing two independent population means with unknown and possibly unequal population standard deviations is called the Aspin-Welch t-test.

In simple terms, The population standard deviation is a parameter, which is a fixed value calculated from every individual in the population. A sample standard deviation is a statistic. This means that it is calculated from only some of the individuals in a population. Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population

Because: reason:

                                   Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population.

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