What is the quotient when the product of 20 and 5 is divided by the sum of 20 and 5?

Answer:

i). x³ + 9x² + yz - 15

ii). -21m³np - 8p⁵q + mnp + 4mn + 100

Step-by-step explanation:

Question (38)

i). Two expressions are -5x² - 4yz + 15 and x³+ 4x²- 3yz

  By subtracting expression (1) from expression (2) we can the expression by addition which we can get expression (1).

 (x³+ 4x²- 3yz) - (-5x² - 4yz + 15) = x³ + 4x² - 3yz + 5x² + 4yz - 15

                                                    = x³ + 9x² + yz - 15

ii). -15m³np + 2p⁵q - 6m³pn + mnp + 4mn - 10qp⁵+ 100

  = (-15m³np - 6m³np) + (2p⁵q - 10qp⁵) + mnp + 4mn + 100

  = -21m³np - 8p⁵q + mnp + 4mn + 100

Answer:

s. 0/10

6. 5/0

7. 1/10

8. 4/10

9. 5/10

Answer:

6 CD's

Step-by-step explanation:

$85.65 - $1.9 = 5 $84.15

$84.15 ÷ $13.95 = 6

Answer:

In mathematics, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. A theorem is hence a logical consequence of the axioms, with a proof of the theorem being a logical argument which establishes its truth through the inference rules of a deductive system. As a result, the proof of a theorem is often interpreted as justification of the truth of the theorem statement. In light of the requirement that theorems be proved, the concept of a theorem is fundamentally deductive, in contrast to the notion of a scientific law, which is experimental.

Step-by-step explanation:

Answer:

4:18 pm

Step-by-step explanation:

An airport offers two shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will they next leave the airport together.

Shuttle A leaves every 6 minutes

Shuttle B leaves every 9 minutes

Shuttle A: 4:00 pm

Leaves every 6 minutes

Next 4:06 pm

Next: 4:12 pm

Nex: 4:18 pm

Next: 4:24 pm

Shuttle B: 4:00 pm

Leaves every 9 minutes

Next: 4:09 pm

Next: 4:18 pm

Next: 4:27 pm

Next: 4:36 pm

The next time both shuttles will leave the airport together is 4:18 pm

Answer:

[See Below]

Step-by-step explanation:

✦ First you have to determine the rule:

  ✧ The rule is -2

    ○ 4 - 2 = 2

    ○ 2 - 2 = 0

    ○ 0 - 2 = -2

    ○ -2 - 2 = -4

    ○ And the rule would go on and on...

✦ And now that you know the rule, you have to determine the next terms:

  ✧ -6

  ✧ -8

  ✧ -10

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

Step-by-step explanation:

LET

x be the number of  regular work hours

overtime paid time and a half :(11.75+1/2(11.75))= 17.625 dollars

max time =10 hours

max overtime paid = 10*17.625=170.65 dollars per week

f(x) or y =11.75x

the graph is proportional because it passes through the origin( no work hours, no earning)

with no overtime the workers if the workers work 40 hours then :

y=11.75*40=470 dollars

Answer:

z=-21

Step-by-step explanation: (9-3)/2=(6+z)/5

We move all terms to the left:

(9-3)/2-((6+z)/5)=0

We add all the numbers together, and all the variables

-((z+6)/5)+6/2=0

We add all the numbers together, and all the variables

-((z+6)/5)+3=0

We multiply all the terms by the denominator

-((z+6)+3*5)=0

We calculate terms in parentheses: -((z+6)+3*5), so:

(z+6)+3*5

We add all the numbers together, and all the variables

(z+6)+15

We get rid of parentheses

z+6+15

We add all the numbers together, and all the variables

z+21

Back to the equation:

-(z+21)

We get rid of parentheses

-z-21=0

We add all the numbers together, and all the variables

-1z-21=0

We move all terms containing z to the left, all other terms to the right

-z=21

z=21/-1

z=-21

Answer:A

Step-by-step explanation:

Sqrt(4000)= 20

Answer:

Step-by-step explanation:

Use FOIL method

F -> First

O Outside

I inside

L Last

(a - b)(a + 2b)= a*a + a *2b + (-b)*a + (-b)*2b

                     = a² + 2ab - ab - 2b²

Combine like terms

                       = a² + ab - 2b²

Answer:

The length and base are 10/3 and 25/3 respectively

Step-by-step explanation:

Given:

Represent the sides with S and the base with B

Shape: Isosceles Triangle

[tex]S= B- 5[/tex]

[tex]Perimeter , P= 15[/tex]

Required

Determine the base and legs of the triangle;

The perimeter (P) of a triangle is calculated as thus;

[tex]P = S+ S + B[/tex]

[tex]P = 2S + B[/tex]

Substitute B-  5 for S

[tex]P = 2(B - 5) + B[/tex]

[tex]P = 2B - 10 +B[/tex]

Substitute 15 for P

[tex]15 = 2B - 10 + B[/tex]

Collect Like terms

[tex]2B + B = 15 + 10[/tex]

[tex]3B = 25[/tex]

Divide through by 3

[tex]B = \frac{25}{3}[/tex]

Recall that [tex]S= B- 5[/tex]

[tex]S = \frac{25}{3} - 5[/tex]

Take LCM

[tex]S = \frac{25 - 15}{3}[/tex]

[tex]S= \frac{10}{3}[/tex]

Hence, the length and base are 10/3 and 25/3 respectively

The answer for your problem is 192

Answer:

a = 1/4

Step-by-step explanation:

Divide each side by 36:

36a = 9

a = 1/4

Answer:

a=1/4=0.25

Step-by-step explanation:

to get the value of a divide 36 by 9.

[tex]36a=9\\ \frac{36a}{36}=\frac{9}{36}\\ a=\frac{9}{36}\\ (simplify) \\ a=\frac{1}{4}=0.25[/tex]

F(1) would be the y value of where the line is at x =1

At x = 1, the line is at y =3

The answer is D. F(1) = 3

Answer:

[tex]x=\pm i\text{ or }x=\pm2i[/tex]

Step-by-step explanation:

So we have the equation:

[tex]x^4+5x^2+4=0[/tex]

Let's let u be equal to x². So:

[tex]u^2+5u+4=0[/tex]

Factor:

[tex](u+1)(u+4)=0[/tex]

Zero Product Property:

[tex]u+1=0\text{ or } u+4=0[/tex]

Subtract:

[tex]u=-1\text{ or }u=-4[/tex]

Replace:

[tex]x^2=-1\text{ or }x^2=-4[/tex]

Take square root:

[tex]x=\pm\sqrt{-1}\text{ or }x=\pm\sqrt{-4[/tex]

Simplify:

[tex]x=\pm i\text{ or }x=\pm2i[/tex]

Answer:

the volume is 7 because there is 7 blocks

Answer:

f(x)= -2x + 1

Step-by-step explanation:

The function we will find is to be written in slope-intercept form, which is y=mx+b.

One way to find the answer would be by graphing the function, wich you can do on an online calculator or a sheet of paper.

Another way to get to our answer without even having to graph is by finding the y-intercept, or the b, of the function given in the table.

We can do this by looking at the 0 value of the table. The table tells us that the y-intercept is 1.

So, we have to look at our options and see which one has +1 for the y-intercept.

The option f(x)=-2x+1 is the answer

How to check your work: input the given x values into the chosen function, in this case f(x)= -2x + 1

So for example, you could check that this answer is the function by doing

Make sure to do this to all values.

Hope this helps!

Answer:

5 gallons

Step-by-step explanation:

times both the rate of the gas pumping and the time it takes by 12/1

so you could get half a minute.

then you get 60/12 gallons pumped per 1/2 min

then you just simplify it to 5 gallons per half minute

Answer:

(-25) + (-45) + (-75)

-145

Step-by-step explanation:

Given that :

jan made withdrawals of 25 45 75 from her savings account

Sum of negative integers to show Jan's withdrawals :

Expression to showing sun of negative integers to represent Jan's withdrawals :

(-25) + (-45) + (-75)

The result of the sum will give the total amount of Jan's withdrawal.

(-25) + (-45) + (-75) = - 145

Hence, total amount Jan withdrew is - 145

Answer:

[tex]3\frac{1}{4}[/tex]

Step-by-step explanation:

Given the two  -3 1/4 and -6 1/2 numbers  on the line, the distance between he numbers can be gotten by simply taking the differences between both values as shown;

[tex]= -3\frac{1}{4} -(-6\frac{1}{2} )\\ \\= -\frac{13}{4} + \frac{13}{2}\\ \\= \frac{-13+26}{4}\\ \\= \frac{13}{4} \\\\= 3\frac{1}{4}[/tex]

Hence the distance between two numbers on the number line is [tex]3\frac{1}{4}[/tex]

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

Explanation:

The larger rectangle has area of (x+1)(x+1) = x^2+2x+1 through the use of the FOIL rule or distribution

If you use distribution, then it might help to let y = x+1 so we'd have y(x+1) lead to xy+1y which becomes x(x+1)+1(x+1). From there it might be easier to see how to get x^2+2x+1 after everything distributes again and simplifies.

The smaller rectangle has area 5x-35 which is found by distributing 5(x-7)

To get the shaded area, we subtract the two rectangle areas found above

shaded area = (larger area) - (smaller area)

shaded area = (x^2+2x+1) - (5x - 35)

shaded area = x^2+2x+1 - 5x + 35

shaded area = x^2-3x+36

The answers are in order 3/50,1/20, greater than.

Answer:

1.b 2.a 3.b

Step-by-step explanation:

Answer:

Zulus.

Explanation:

The Zulus are a group of ethnic people from the Bantu tribe in Southern Africa. They also constitute the largest ethnic group in South Africa and were a separate kingdom before the attack by the Britishers in 1879.

Therefore, it is only reasonable to say that the resistance to the British rule in Southern Africa was led by the Zulus as it was their land. The Ethiopians, Egyptians, and Liberians were African nations but not a part of the Southern African area. Ethiopia is in the East, Liberia in the West, and the Egyptians in the North part of Africa.  

Answer:

4 / 21 spoonful of vanilla

Step-by-step explanation:

3 1/2 dozens = 42 cookies

Let x = spoonful of vanilla for 1 dozen of cookies

2/3 : 42 cookies

x : 12 cookies

2/3 ÷ 42 = x ÷ 12

2/3 × 1/42 = x / 12

2 / 126 = x / 12

Cross product

2*12 = 126*x

24 = 126x

Divide both sides by 126

x = 24 / 126

= 4 / 21

x = 4 / 21 spoonful of vanilla

Per dozen of cookies requires 4/21 spoonful of vanilla

Check:

4/21 per dozen × 3 1/2 dozens

4/21 × 7/2

28 / 42

2/3 spoonful for 3 1/2 dozens

The total amount of dozen cookies = [tex]3\dfrac{1}{2}[/tex]

Stephanie requires [tex]\dfrac{2}{3} \ tablespoons[/tex] to make [tex]\mathsf{3\dfrac{1}{2}\ dozen \ cookies}[/tex]

Let assume that:

Then; we can equate both equations together as follows:

[tex]\dfrac{2}{3} \ tablespoons[/tex] =  [tex]\mathsf{3\dfrac{1}{2}\ dozen \ cookies}[/tex]

x tablespoon = 1 dozen cookies

By cross multiply and making (x) the subject of the formula, we have:

[tex]\mathbf{x \times 3\dfrac{1}{2} dozen \ cookies = \dfrac{2}{3} \ tablespoons \times 1 \ dozen \ cookies}[/tex]

[tex]\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons \times 1 \ dozen \ cookies}{3\dfrac{1}{2} dozen \ cookies}}[/tex]

[tex]\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons}{3\dfrac{1}{2} }}[/tex]

[tex]\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons}{\dfrac{7}{2} }}[/tex]

[tex]\mathbf{x = \dfrac{2}{3} \ tablespoons} \div {\dfrac{7}{2} }[/tex]

[tex]\mathbf{x = \dfrac{2}{3} \ tablespoons} \times {\dfrac{2}{7} }[/tex]

[tex]\mathbf{x = \dfrac{4}{21} \ tablespoons}}[/tex]

Therefore, the amount of tablespoons Stephaine will need to prepare a dozen cookies is: [tex]\mathbf{ = \dfrac{4}{21} \ tablespoons}}[/tex]

Learn more about solving fractions here:

https://brainly.com/question/6201432?referrer=searchResults

Answer:

2.5 mile inch 158400

Step-by-step explanation:

It's on google

158400

You can just ask google