Anyone have a way to find the GCF faster? I’m in 7th grade btw

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:negative

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the answer is 10

Step-by-step explanation:

*please give me brainliest, i only need four more*

Answer:

-10

I did the math

(-4)-6

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:

I think thats false

Step-by-step explanation:

Tell them false there isn't much evidence and if you tried to search it up thats not correct or the correct way to solve it theyre trying to trick you.

Answer:

the volume is 7 because there is 7 blocks

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:

33 hours

Step-by-step explanation:

[tex]\frac{11}{3} *9 =33[/tex]

Answer:

6 3/4 hours

Step-by-step explanation:

divide 9 by 1 1/3. You get 6.75 which is converted to 6 and 3/4 hours.

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:

12

Step-by-step explanation:

Given the expression:

[tex](\dfrac{(2^{-1}\times 3^2)}{(2^{2}\times 3^{-4})})^\frac{7}{2} \times (\dfrac{(2^{-2}\times 3^3)}{(2^{3}\times 3^{-5})})^\frac{-5}{2}[/tex]

We have to simplify the above expression.

Let us have a look at a few formulas:

[tex]1.\ a^b = \dfrac{1}{a^{-b}}[/tex]

[tex]2.\ a^b\times a^c = a^{b+c}[/tex]

[tex]3.\ (a^b ) ^c = a^{bc}[/tex]

Now, let us try to solve the given above expression using the formulas:

[tex]\Rightarrow (\dfrac{(3^{4}\times 3^2)}{(2^{2}\times 2^{1})})^\frac{7}{2} \times (\dfrac{(3^{5}\times 3^3)}{(2^{3}\times 2^{2})})^\frac{-5}{2}[/tex]

[tex]\Rightarrow (\dfrac{(3^{4+2})}{(2^{2+1})})^\frac{7}{2} \times (\dfrac{(3^{5+3})}{(2^{3+2})})^\frac{-5}{2}\\\Rightarrow (\dfrac{3^{6}}{2^{3}})^\frac{7}{2} \times (\dfrac{3^{8}}{2^{5}})^\frac{-5}{2}\\\Rightarrow (\dfrac{3^{\frac{42}{2}}}{2^{\frac{3\times 7}{2}}})\times (\dfrac{2^{5}}{3^{8}})^\frac{5}{2}\\\Rightarrow (\dfrac{3^{21}}{2^{\frac{21}{2}}})\times (\dfrac{2^{\frac{5\times 5}{2}}}{3^{\frac{8\times 5}{2}}})[/tex]

[tex]\Rightarrow (\dfrac{3^{21}}{2^{\frac{21}{2}}})\times (\dfrac{2^{\frac{25}{2}}}{3^{20}})\\\Rightarrow {3^{1}}\times {2^{\frac{25-21}{2}}}\\\Rightarrow 3\times 4 \\\Rightarrow \bold{12}[/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

Answer:

The interest rate on the account is 2.1%

Step-by-step explanation:

Compound interest is one that is added to the initial capital and on which new interests are generated. Money, in this case, has a multiplier effect because interest produces new interest. In other words, the initial capital increases in each period because the interests add up.

To calculate the final capital, the initial capital is multiplied by one plus the interest, raised to the number of periods:  

[tex]A=P*(1+\frac{r}{n}) ^{n*t}[/tex]

where

In this case:

Replacing, you get:

[tex]3,439.96=3,104.31*(1+\frac{r}{4}) ^{4*5}[/tex]

Now, solving:

[tex]\frac{3,439.96}{3,104.31} =(1+\frac{r}{4}) ^{20}[/tex]

[tex]\sqrt[20]{1.1081} =(1+\frac{r}{4})[/tex]

[tex]1.00514 =1+\frac{r}{4}[/tex]

[tex]1.00514 -1=\frac{r}{4}[/tex]

[tex]0.00514=\frac{r}{4}[/tex]

r=0.0051*4

r= 0.02056

In percentage it is expressed as: r= 2.056 %≅ 2.1 %

The interest rate on the account is 2.1%

Answer:

5 + x

Step-by-step explanation:

x more than 5 is 5 + x

Answer:

5+x

Step-by-step explanation:

x more than 5.

More than means it comes after

5+x

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:

1679 ?

Step-by-step explanation:

Do you have more information?

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:

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:

Distributive property

Step-by-step explanation:

Answer:

Distributive property

Step-by-step explanation:

I got it rigth on edge

hope this helps!

Answer:

38

Step-by-step explanation:

if x is an even integer then the two other even integers are x+2 and x+4.

x+x+2+x+4=108

3x+6=108

3x=108-6

3x=102

x=102/3

x=34.

⇒the largest number from x, x+2 and x+4 is x+4.

x+4=34+4=38

Answer:

38

Step-by-step explanation:

good luck on your assignment

Answer: 25

Step-by-step explanation: He scored 25 in the game

Answer:

I think you need to link the question or a picture of the jar

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

If there's a zero in the tenths place and your round down, keep the zero in your answer. For example, 4.03 rounded to the nearest tenth in 4.0.

Answer:

y=5x+2

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-4,-18), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-4 and y1=-18.

Also, let's call the second point you gave, (0,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=0 and y2=2.

Now, just plug the numbers into the formula for m above, like this:

m= (2 - -18)

------------

(0 - -4)

or...

m= 20

-------

4

or...

m=5

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=5x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-4,-18). When x of the line is -4, y of the line must be -18.

(0,2). When x of the line is 0, y of the line must be 2.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=5x+b. b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-4,-18) and (0,2).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(-4,-18). y=mx+b or -18=5 × -4+b, or solving for b: b=-18-(5)(-4). b=2.

(0,2). y=mx+b or 2=5 × 0+b, or solving for b: b=2-(5)(0). b=2.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(-4,-18) and (0,2)

is

y=5x+2

Answer:

The speed of the stream is 5 km/hr.

Step-by-step explanation:

- Let's assume that the speed of stream is = x km/h

- Speed of boat in still water v = 15 km/h

- Total time taken = 4 hour and 30 mins or 9/5 hrs

- Distance covered (one way) = 30 km/s

Then,

Speed of boat downstream =( 15 + x ) km/h

Time taken downstream = (30/15 + x ) hrs

As time = distance / speed

Speed of boat upstream = ( 15 - x ) km/h

Time taken upstream =( 30/15 - x ) hrs

Now,

     Total time taken = Time taken downstream + Time taken upstream

or, 9/2 = (30/15 + x ) + (30/15 - x )

or, x = 5 km/h

The speed of the stream is 5 km/h

I hope my answer helps