Mr. Ford will select 5 of the 120 people who tried out for a theatrical production. He will choose another 5 people to assist with the show.
How many people will he choose altogether?

Answer: x = 0 and x = 7

Step-by-step explanation:

9x^2 - 63x = 0.

We can factor out 9x from both terms on the left side:

9x(x - 7) = 0.

To be equal to 0, one of the terms has to be 0.

Therefore, either 9x = 0 or x - 7 = 0.

First, we solve the case where 9x = 0.

Then, x = 0.

Second, we solve the case where x - 7 = 0.

We add 7 to both sides:

So, x = 7

The domain of the function is the amount of fuel in the airplane's tank,

The weight of the plane as a function of the amount of fuel is given as:

W=7F + 3000

The plane can take up to 200 gallons of fuel.

This means that, the domain of the function is the amount of fuel in the airplane's tank, and the set of values is all set of real numbers from 0 to 200

When F = 0, we have:

W = 7*0 + 3000

W = 3000

When F = 200, we have:

W = 7*200 + 3000

W = 4400

This means that, the range of the function is the weight of the airplane, and the set of values is all set of real numbers from 3000 to 4400

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Answer:

5 3/5 or 5

Step-by-step explanation:

Because it is

Answer:

40%

Step-by-step explanation:

4 / 10 = 40%

Answer: [tex]4\sqrt{10}[/tex] cm

Step-by-step explanation:

The area of the square is equal to the side length^2.

We can let s be the length of the side.

Therefore, s^2 = 10 cm^2

Square root both sides:

s = [tex]\sqrt{10}[/tex] cm

The perimeter of a square is 4 multiplied by the side length.

Therefore, the perimeter of the square is 4s = [tex]4\sqrt{10}[/tex] cm

Answer:

Hank uses 19/12 cans of beans.

Step-by-step explanation:

1. 2/3 X 4/4 = 8/12

2. 2/3 X 4/4 = 8/12

3. 1/4 X 3/3 = 3/12

4. 8/12 + 8/12 + 3/12=19/12

Answer:

True

Step-by-step explanation:

3x8=24

24-63=-39

39=39

Hence, the equation is true.

Answer:

The answer is true.

Step-by-step explanation:

3 x 8 = 24

24 - 63 = -39

Hope this helps. :)

Answer:

39.864

Step-by-step explanation:

24*4=96

1827/96

=39.864

Answer:

a - 32.4

Step-by-step explanation:

-4 * 8.1 = -32.4

First, multiply .1 by -4 and you get -.4

Then multiply 8 by -4 and get -32

Combining these,

-32 -.4 = -32.4

Answer:

a. -32.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

is the ans 0.73

Step-by-step explanation:

is the ans 0.73 gram and time xa ra

The mass of the carton in grams if it were to be empty is 530 g

Two or more expressions with an Equal sign is called as Equation.

Let us find the weight of one bottle of water.

We have to  subtract the weight of the carton with 27 bottles from the weight of the carton with 24 bottles

11.53 kg - 10.33 kg = 1.20 kg

So, the weight of 3 bottles of water is 1.20 kg.

Divide 1.2 by 3 to find the weight of one bottle of water

1.20 kg / 3 = 0.4 kg

Now the weight of the empty carton

Subtract the weight of 27 bottles from the weight of the carton with 27 bottles:

11.53 kg - 27(0.4 kg) = 0.53 kg

Convert the weight of the empty carton from kilograms to grams:

0.53 kg × 1000 g/kg = 530 g

Therefore, the mass of the carton in grams if it were to be empty is 530 g

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Answer:

D) 40%

Step-by-step explanation:

I just looked it up on a calculator.

Answer:

11 stamps approximately

Step-by-step explanation:

convert 25 Kobo to naira

which is 25/100 = 0.25 naira

therefore, a stamp will cost 0.25 naira.

number of stamps the man can buy with 2.85 naira will be 2.85/0.25 =11.4 stamp

which is 11 stamps (approximately)

Answer:  [tex]y = 650(0.907)^t[/tex]

This is the same as writing y = 650(0.907)^t

=====================================================

Explanation:

Exponential equations can be of the form y = a*b^t

In this case, we have

If we had exponential growth, then we'd compute 1 + 0.093 instead.

Based on those values, we go from y = a*b^t to y = 650(0.907)^t which is the same as writing [tex]y = 650(0.907)^t[/tex]

Other exponential forms are possible, but I think this form is the most intuitive. The 0.907 means that 90.7% of the sample remains after each year.

Answer:

(13-2y)(13-2y)

Step-by-step explanation:

Algebraic identity of x^2-2ab+b^2

Answer:

Option 1 looks most suitable

Step-by-step explanation:

Check image below:

Brainliest please

Answer:

He will go to the store 10 times in a 5-week period.

Step-by-step explanation:

We can assume that in one week, Jamal went to the store 2 times, considering he went to the store 4 times in 2 weeks. Next, we can assume that he will go to the store 10 times in 5 weeks, since 2×5=10.

Answer:

4/6 and lower.

Step-by-step explanation:

Step-by-step explanation: The fraction with numerator as 16/3 and denominator 8 becomes 2/3 which is less than 5/6.

Answer:

  24°

Step-by-step explanation:

Two angles that form a linear pair are supplementary. That is, their total is 180°.

  x° +156° = 180°

  x° = 180° -156° = 24°

Answer:

Explanation:

5 books cost $21. That means you have to divide 21 by 5 to find the price of one book, which is $4.20. Then you multiply 4.2 by 7 to find the price of 7 books. 7 x $4.20= $29.40

Answer: 0.02

Step-by-step explanation: hundreds is 0.0 and its 2 so it would be 0.02

Using place value chart value of [tex]2[/tex] in the [tex]304.72[/tex] is quals to [tex]0.02[/tex] (decimal form).

" Place value is defined as the value represented by each digit of a number on the basis of its position on a number."

According to the question,

Given number ,

[tex]304.72[/tex]

Place value of all digits in [tex]304.72[/tex]

Place value of [tex]4 = ones[/tex]

Place value of [tex]0 = tens[/tex]

Place value of [tex]3= hundreds[/tex]

Place value of [tex]7= tenth[/tex]

Place value of [tex]2 = hundredth[/tex]

                           [tex]= \frac{2}{100}[/tex]

                           [tex]=0.02[/tex] (decimal form)

Hence, value of [tex]2[/tex] in the [tex]304.72[/tex] is quals to [tex]0.02[/tex] (decimal form).

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Answer: 6 hours and 25 min

Step-by-step explanation:

Answer:

In our ordinary division, we are clear about the division of a number by the same number. The quotient is always 1 in such case.

For example:-

Divide 4 by 4.

Here,

[tex] \frac{4}{4} = 1[/tex]

Now let solve the above examples by using the laws of indices.

[tex] \frac{4}{4} = {4}^{1 - 1} = {4}^{0} = 1[/tex]

Similarly,

[tex] \frac{ {x}^{m} }{ {x}^{m} } = {x}^{m - m} = {x}^{0} = 1[/tex]

Thus,any base with zero index is equal to 1.

We need to tell the index of x for which x will be 1 , First of all , always remember that index of a number means power of the number or to which power it's raised to, like in 2³ , 2 is raised to 3 so 3 is the index. Also we knows an identity i.e

Let's put , m = n

[tex]{:\implies \quad \sf \dfrac{a^m}{a^m}=a^{m-m}}[/tex]

[tex]{:\implies \quad \boxed{\bf{a^{0}=1}}}[/tex]

Also , you should note that for a = 0 , the given expression becomes 0⁰ ,which is not defined , so the above expression is true only for [tex]{\bf{a\in (-\infty,0)\cup (0,\infty)}}[/tex]

Now , as we can replace variables , so , if we replace a by x , we get x⁰ = 1 .

Hence , the required index is 0

Answer:

11.5

Step-by-step explanation:

divide 2760 by 240

2760/240=11.5

Answer:

4a-b-c

Step-by-step explanation:

we first look at the letters of each number. if there is only a letter, there is an imaginary 1 in front of it. we need to make sure that we add the numbers that have the exact same letters because they are known as like terms. we cannot add 6a and 4b because the letters are different and they are known as unlike terms. When we add numbers with the same letter ONLY the number changes

Answer:

12x+20

Step-by-step explanation:

2(5x+2)+2(x+8)

or (simplified)

10x+4+2x+16=12x+20

Answer:

12x+20

Step-by-step explanation:

5x+2+x+8+5x+2+x+8

12x+20

Answer:

False

Step-by-step explanation:

3x4=12

12 divided by 3=4

4x8=32

32=34

Hence, this equation is false.

Answer:Calculate the amount of total value in each case substituting x or d by 7 and compare the amounts:f(7) = 100*7 + 1000 = $1700g(7) = 1000*(1.1)^7 = $1948.72 (rounded)As we see the option 2 is better choice and the difference is:$1948.72 - $1700 = $248.72:For partb

Step-by-step explanation: